Please help! Will mark brainlyest

Please Help! Will Mark Brainlyest

Answers

Answer 1

Answer:

steps in attached picture

Step-by-step explanation:

Please Help! Will Mark Brainlyest

Related Questions

Sarah bought two t-shirts and one sweatshirt. The t-shirts cost $15.22 each. If Sarah spent a total of $67.94,how many dollars did the sweatshirt cost? Express your answer as a decimal to the nearest hundredth.

Answers

Answer:

111

Step-by-step explanation:

So firstly, you have two t-shirts, so you do 15.22*2=30.44. Then you use 67.94, and subtract 30.44, which is 37.5

Simple as that!!

Department A occupies 10,000 square feet, Department B occupies 6,000 square feet, and Department C occupies 4,000 square feet. What percent of the total overhead expense should be allocated to Department B?

60 percent

40 percent

30 percent

10 percent

Answers

Answer:

The correct answer is C. 30 percent

Step-by-step explanation:

What percent of the total overhead expense should be allocated to Department B?

For answering this question, we should make the following calculations this way:

Company's footprint = Department A + Department B + Department C

Company's footprint = 10,000 + 6,000 + 4,000

Company's footprint = 20,000 square feet

Overhead expense allocated to Department B = Department B footprint/Company's footprint

Overhead expense allocated to Department B = 6,000/20,000

Overhead expense allocated to Department B = 0.3 = 30%

The correct answer is C. 30 percent

one fourth of the students in Mrs. Bennett's class have blue eyes. Two eighths of the students have green eyes. Does the class have an equal number of students with blue and green eyes.

Yes

No

Answers

Answer:

Yes

Step-by-step explanation: 2/8 is eq equivalent to 1/4 when reduced to the lowest term(i.e form)

Yes, this is because 2/8 is equivalent to one fourth, this is because eighths are fourths cut in half, so, you only need two of them to make a one right.

Hope this helps, if not, comment below please!!!

At time t = 0, a football player kicks a ball from the point A with position vector (2i + j) m on a horizontal football field. The motion of the ball is modelled as that of a particle moving horizontally with constant velocity (5i + 8j) m s–1.

Find


(a) the speed of the ball,

(b) the position vector of the ball after t seconds.


The point B on the field has position vector (10i + 7j) m.

(c) Find the time when the ball is due north of B.


At time t = 0, another player starts running due north from B and moves with constant speed v m s–1. Given that he intercepts the ball,


(d) find the value of v.


(e) State one physical factor, other than air resistance, which would be needed in a refinement of the model of the ball’s motion to make the model more realistic.

Answers

Final answer:

To solve these physics problems, we used vector mathematics to find the speed of the ball, its position after a certain time, the time it aligns with a certain point, and the speed of a player to intercept it. Additionally, we considered gravity as a factor for a more realistic model of the ball's motion.

Explanation:

Speed of the ball: To find the speed of the ball, we calculate the magnitude of the velocity vector (5i + 8j) m/s using the Pythagorean theorem, which results in \(\sqrt{5^2 + 8^2} = \sqrt{89}\) m/s.

Position vector after t seconds: We calculate the position vector at time t by using the initial position vector (2i + j) m and adding the product of the velocity vector and time t. This yields the formula (2i + j) + t(5i + 8j).

Time when the ball is due north of B: For the ball to be due north of B, their i-components must be equal. Given B's position vector is (10i + 7j), we set the i-component equal to 10 and solve for t, getting t = (10 - 2)/5 = 1.6 seconds.

Value of v for the running player: Since the player intercepts the ball after 1.6 seconds, and the ball's j-component of the velocity is 8 m/s, the player's velocity v must be the distance covered in the j direction divided by time, which is (8j - 7j)/1.6 = 0.625 m/s.

Physical factor for a more realistic model: One physical factor to make the model more realistic could be the effect of gravity on the ball's trajectory, which would cause the ball to follow a parabolic path rather than a straight line.

For each linear system,tell whether you would multiply the terms in the first or second equation in order to eliminate one of the variables.Give the number by which you could multiply.
X+3y=-14, 2x + y =-3

Answers

We can multiply first equation x + 3y = -14 by 2 to get rid of varibale "x"

Solution:

Given that, the system of equations are:

x + 3y = -14 ----- eqn 1

2x + y = -3 --------- eqn 2

We can solve by elimination method

For doing elimination, we have to make the any one of coefficient of variable same

Here, in eqn 1 we have 1 as coefficient for "x"

In eqn 2, we have 2 as coeficient for "x"

So, we can multiply eqn 1 by 2, to get rid of "x"

2(x + 3y = -14)

2x + 6y = -28 ------- eqn 3

If we subtract eqn 2 from eqn 3, we will get the solution

2x + 6y = -28

2x + y = -3

( - ) ----------------

5y = -25

y = -5

Substitute y = -5 in eqn 1

x + 3(-5) = -14

x -15 = -14

x = 1

Thus the solution is x = 1 and y = -5. So we have multiplied equation 1 by 2 to get of varibale "x" and solved the equations

At a track meet 2/7of the 756 competing athletes are sophomores. How many of the competing
athletes are sophomores? Round to the nearest athlete if necessary.
A. 204 athletes
B. 2,646 athletes
C. 108 athletes
D. 216 athletes

Answers

Answer:

D

Step-by-step explanation:

700/7= 100

100*2= 200

200+ (756-700)= 256

256 closest to 216 than to 204 or any other answer.

Answer:216.

Step-by-step explanation:

if ur doing the scantron so am i i hate it as much as you do

Show how to use the distributive property to simplify 4(5+x)

Answers

Answer:

20+4x

Step-by-step explanation:

Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.

To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.

Answer:

[tex]4(5+x)=20+4.x[/tex]

Step-by-step explanation:

Distributive property:-

The distributive property is one of the most frequently used properties in mathematics.

Distributive property

a(b+c) = a.b+a.c ((using multiplication of distributive law)

given

[tex]4(5+x) = 4.5+4.x[/tex]

[tex]4(5+x)=20+4.x[/tex]

In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a whole number?

Answers

Answer:

their sum: 2.8m

their difference: 1.2m

the third side's length should be smaller than their sum, larger than their difference

it could be: 1.3-1.4-1.5-1.6-1.7-1.8-1.9-2-2.1-2.2-2.3-2.4-2.5-2.6-2.7 but since it has to be a whole number, 2m is the only eligible answer.

Final answer:

Using the Pythagorean theorem, we can calculate the third side of the triangle considering both positions for the side: as the hypotenuse and one of the two remaining sides. In both cases, the result is rounded to a whole number due to the constraints of the question.

Explanation:

In this case, we need to calculate the third side of the triangle based on the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as: a² + b² = c². To find the possible lengths of the third side, we need to consider that it should be a whole number, and use both possible positions: once as a hypotenuse and once as the other side of the triangle.

If the third side is the longest (hypotenuse), then based on the Pythagorean theorem: (1.9m)² + (0.7m)² = c². The answer should be rounded to a whole number.

If the third side is not the longest one, then we could subtract the square of the shorter side from the square of the longer one: (1.9m)² - (0.7m)² = (c)². Again, the answer should be rounded to a whole number.

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Complete the square for the function f(x) = x² - 10 + 21. What is the minimum point on a graph of this function?
(1, -4)
(-5, -1)
(-4,5)
(5, -4)

Answers

Answer: (5,-4)

Step-by-step explanation: if u meant x^2-10x+21, the minimum point is (5,-4)

KKrutika, Alex and Gordon share £49 in a ratio 3:3:1. How much money does each person get?


Answers

Answer:

Krutika get 21

Alex get 21

Gordon get 7

Step-by-step explanation:

Given: Total amount= 49

           Ratio= 3:3:1

Now, finding the amount received by Krutika, Alex and Gordon.

First, lets find the sum of ratio

Sum of ratio= [tex]3+3+1= 7[/tex]

We know now that amount will be distributed in the following fraction:

Krutika= [tex]\frac{3}{7}[/tex]

Alex= [tex]\frac{3}{7}[/tex]

Gordon= [tex]\frac{1}{7}[/tex]

∴ Amount received by Krutika= [tex]\frac{3}{7}\times 49= 21[/tex]

Alex,

Amount received by Alex= [tex]\frac{3}{7}\times 49= 21[/tex]

Gordon,

Amount received by Gordon= [tex]\frac{1}{7}\times 49= 7[/tex]

Hence, they get 21,21 and 7 respectively out of 49.

Final answer:

KKrutika and Alex each get £21, and Gordon gets £7.

Explanation:

To find out how much money each person gets, you need to divide the total amount of money (£49) in the ratio of 3:3:1.

First, add up the parts of the ratio to find the total number of parts: 3 + 3 + 1 = 7.  

Next, divide the total amount of money (£49) by the total number of parts (7) to find the value of one part: £49 ÷ 7 = £7.  

Finally, multiply the value of one part (£7) by each part of the ratio to find out how much money each person gets: KKrutika and Alex each get £7 × 3 = £21, and Gordon gets £7 × 1 = £7.

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Match each picture to its name.

Answers

Answer:

line PQline PQ+ lineQR= line PRPQ moves in opposite directions point PP and Q moves in the same direction

Data;

PQ

Matching the Line or Points

1) Line P to Q can be represented as

[tex]--\\PQ[/tex]

2)

The Line P, Q and R will be represented as

[tex]PQ + QR = PR[/tex]

3)

The point P and Q will be represented as

[tex]< \to \\PQ[/tex]

With the sign above it's head

4)

point P will be represented as

[tex].P[/tex]

5)

The point PQ moving towards in the right hand side can be represented as

[tex]\to\\PQ[/tex]

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What is 16 2/3% of 96 lamps

Answers

Answer:

16 lamps

Step-by-step explanation:

we know that

96 lamps represent the 100%

so

using proportion

Find out how many lamps represent 16 2/3%

but first convert to an improper fraction

[tex]16\frac{2}{3}\%=\frac{16*3+2}{3}=\frac{50}{3}\%[/tex]

Apply proportion

[tex]\frac{96}{100\%}=\frac{x}{\frac{50}{3}\%} \\\\x= (\frac{50}{3})(96)/100\\\\x=16[/tex]

Answer:

16 lamps

Step-by-step explanation:

select the correct answer​

Answers

Answer:

???

Step-by-step explanation:

Where's the problem/question?

Pls help me with this question no. 14 asap. will mark brainliest ​

Answers

Answer to part (i): The area of triangle PQR is 10 square cmAnswer to part (ii): in fraction form QM = 5/2, or in decimal form QM = 2.5

============================================================================

Work Shown for part (i)

One base of triangle PQR is QR = 4

If the base is QR, then the height is PL = 5, which is perpendicular to QR.

area of triangle PQR = (1/2)*base*height

area of triangle PQR = (1/2)*QR*PL

area of triangle PQR = (1/2)*4*5

area of triangle PQR = 10

---------------------------------

Work Shown for part (ii)

Another base for triangle PQR is PR = 8

Imagine rotating triangle PQR so that PR is completely horizontal and flat.

Note: the diagram implies that MR = 8, but instead it's actually PR = 8

For the base PR, the perpendicular height is QM, which we'll label as x for now

area of triangle PQR = (1/2)*base*height

area of triangle PQR = (1/2)*PR*QM

area of triangle PQR = (1/2)*8*x

area of triangle PQR = 4*x

From part (i), we can set 4x equal to 10 since we know the triangle PQR has area 10 square cm.

4x = 10

4x/4 = 10/4

x = 10/4

x = (5*2)/(2*2)

x = 5/2

x = 2.5

Let / f(x)= -5x + 3 and g(x) = 6x - 2. Find f*g and its domain.

Answers

Answer:

The correct answer is:  Option 3.

Step-by-step explanation:

To begin the problem asks to find [tex]f[/tex]· [tex]g[/tex] which can be defined as [tex][f*g](x)[/tex]. Now we are given that:

[tex]f(x)=-5x+3\\g(x)=6x-2[/tex]

So now we need to 'multiply' our two algebraic expressions as follow:

[tex]fg(x)=(-5x+3)(6x-2)\\fg(x)=(-5x)(6x) +(-2)(-5x)+(3)(6x)+(3)(-2)\\fg(x)=-30x^2+10x+18x-6\\fg(x)=-30x^2+28x-6[/tex] Eqn.(1)

The domain of Eqn. (1) is all real numbers of [tex]x[/tex].

Which according to the given options , Option 3 is correct.

Answer: fog(x) = -30x + 13.

The domain is all the real  numbers.

Given that f(x)= -5x + 3 and g(x) = 6x - 2.

fog(x)

[tex]=f(g(x))\\=f(6x-2)\\=-5(6x-2)+3\\=-30x+10+3\\=-30x+13[/tex]

The domain is all the real numbers.

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An adult and five children rent skates. It costs $4 per adult for skates and a total of $16. What would be the equation?

Answers

Final answer:

The equation representing the total cost for an adult and five children renting skates, with the adult's rental at $4 and the total at $16, is 4 + 5x = 16.

Explanation:

The question is asking for an equation that represents the total cost for an adult and five children renting skates where the adult's rental costs $4 and the total cost is $16. To write this equation, we let x be the cost for renting skates for a child. Since there are five children, the cost for the children's skates is 5x. Adding the adult's cost, we have the total cost expressed as 4 + 5x = 16.

Explanation: We know that the cost for one adult is $4, so that's a fixed amount. Since we don't know the individual cost for a child's skate rental, that's our variable x. We have five children, so we multiply x by 5. Adding up the adult's cost and the children's cost gives us the total cost, which is $16, and thus we arrive at our final answer, 4 + 5x = 16.

Why was this amendment necessary?

A. Many states established districts where only members of some
ethnicities could vote.

B. Poll taxes and literacy tests made it too complicated for many
African Americans in the South to vote.

C. African Americans who were former slaves were not considered
American citizens.

D. Despite their citizenship, African Americans were legally prohibited
from voting in some states

Answers

Answer:

i think the answer is Option D...

Final answer:

The 15th Amendment was necessary to address the barriers African Americans faced in voting, including discriminatory voting districts, poll taxes, literacy tests, and legal prohibitions against voting.

Explanation:

The necessary amendment referred to in the question is the 15th Amendment to the United States Constitution. This amendment was necessary because African Americans were facing significant barriers to voting, particularly in the Southern states. These barriers included the establishment of discriminatory voting districts, poll taxes, literacy tests, and legal prohibitions against African Americans voting in some states. The 15th Amendment aimed to address these issues by granting African American men the right to vote.

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The sum of 7 and the product of a number x and 12

Answers

Answer:

-7/12

Step-by-step explanation:

An equation can be made out of this problem.

Sum means adding, so in this problem, you are adding 7 to the product of x and 12.

Product means multiplying, so you are multiplying x by twelve to get 12x.

Since you are adding all of this to 7, you get the equation 7 + 12x = 0.

Now, you just need to solve for x by subtracting the 7 over, giving you 12x = -7.

Now, to isolate x, divide both sides by 12. The twelves on the left cancel each other out, leaving you with -7/12.

_[blank]_ show the distribution and frequency for a set of values. _[blank]_ is how the values are spread out or grouped, and _[blank]_ is how often a value occurs in a set of numbers.

Answers

I think it's histograms for the first blank; distribution for the second blank; frequency for the third and final blank.

Hope this helps please let me know if I'm wrong :)))

Histograms show the distribution and frequency for a set of values. Distribution is how the values are spread out or grouped, and frequency is how often a value occurs in a set of numbers.

A frequency distribution is like a detailed count of all the different values or groups of values in a data set. When data are collected, a histogram provides a visual representation of this distribution. The distribution of the data can be divided into various classes or bins, where the count or frequency of data falling into each bin is tallied. This tally helps to visualise patterns such as the center, spread, and overall shape of the data.
The histogram consists of contiguous rectangles, with the height of each bar corresponding to the frequency of data points within that class interval. The horizontal axis (x-axis) typically represents the values or categories of the dataset, while the vertical axis (y-axis) represents the frequency of occurrences. This graphical tool allows us to quickly ascertain which values are more prevalent and identify the spread or variability of the data, as well as the center, which is considered the middle or typical value of the dataset.

The longest side of a right triangle is 15 feet. The third side is 15 less than three times the shortest side. Find the length of the shortest side.

Answers

Answer: The shortest side is 9ft

Step-by-step explanation: If the longest side is identified as 15 ft, then we already have our hypotenuse (the longest side in a right angled triangle).

If the shortest side is labelled as x, then the third side of the triangle would be labelled as 3x - 15 (15 less than three times the shortest side).

Now we have three sides of a triangle which we can label as 15, x and 3x - 15

By applying the Pythagoras theorem, AC² = AB² + BC²

(Where AC is the hypotenuse and AB and BC are the other two sides)

15² = X² + (3x-15)²

By expansion, (3x-15)² becomes 9x² - 90x + 225

Hence, 225 = X² + 9X² - 90X + 225

225 = 10X² - 90X + 225

Subtract 225 from both sides of the equation

10X² - 90X = 0

Factorize the left hand side of the equation by 10x

10x (x - 9)= 0

Therefore, either

10x = 0 OR

x - 9 = 0

If 10x=0, then x=0. OR

If x - 9 = 0, then x = 9

The length of the shortest side is 9ft.

Rectangular prism has base area 522 square millimeters and height 31 millimeters. Find volume in cubic millimeter

Answers

Answer:

The volume in cubic millimeter is 16182.

Step-by-step explanation:

Given:

Rectangular prism has base area 522 square millimeters and height 31 millimeters.

Now, to find the volume in cubic millimeter.

Base area = 522 square millimeters.

Height = 31 millimeters.

Now, to get the volume we put formula:

[tex]Volume=base\ area\times height[/tex]

[tex]Volume=522\times 31[/tex]

[tex]Volume=16182\ cubic\ millimeter.[/tex]

Therefore, the volume in cubic millimeter is 16182.

Y= 2x - 5
Y= -8x - 15

Answers

This is a simple substitution. I’ve attached a picture to explain the solving process:

the students of a bayside middle school are going on a field trip . 15 students fit in a van and 3 students will be traveling in a car. write an algebraic expression for this problem and what is the meaning of the variable in your expression

Answers

Answer:

The algebraic expression for this problem is [tex]T=15x+3y[/tex].

Step-by-step explanation:

Given:

15 students fit in a van and 3 students will be traveling in a car.

So we can say that;

Number of students travelling by van = 15

Number of students travelling by car = 3

Now Let the number of vans be 'x'.

also Let the number of cars be 'y'.

Let the Total number of students bayside middle school be 'T'.

Solution:

now we can say that;

Total number of students going on field trip is equal to sum of Number of students travelling by van multiplied by the number of vans and Number of students travelling by car multiplied by the number of cars.

framing in equation form we get;

[tex]T=15x+3y[/tex]

Hence, The algebraic expression for this problem is [tex]T=15x+3y[/tex].

5.3x − 8.14 + 3.6x + 9.8

Answers

Answer:

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

Brainliest pls ;)

Final answer:

The given algebraic expression simplifies to 8.9x + 1.66 by combining like terms.

Explanation:

The question you've asked appears to be a linear algebraic expression. Here is how you would simplify it. First, you should group like terms together. So, the equation becomes 5.3x + 3.6x - 8.14 + 9.8. You will add together the x-terms and the constants separately, resulting in 8.9x + 1.66. Therefore, the simplified form of the given algebraic expression is 8.9x + 1.66.

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a piggy bank has $6.95 and contain only nickels and dimes. If there are a total of 91 coins, how many nickels are there

Answers

There are 43 nickels in the piggy bank.

Step-by-step explanation:

Given,

Amount in piggy bank = $6.95 = 6.95*100 = 695 cents

Total coins = 91

One nickel = 5 cents

One dime = 10 cents

Let,

x be the number of nickels

y be the number of dimes

According to given statement;

x+y=91          Eqn 1

5x+10y=695    Eqn 2

Multiplying Eqn 1 by 10

[tex]10(x+y=91)\\10x+10y=910\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](10x+10y)-(5x+10y)=910-695\\10x+10y-5x-10y=215\\5x=215[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{215}{5}\\x=43[/tex]

There are 43 nickels in the piggy bank.

Keywords: linear equation, elimination method

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Final answer:

To find the number of nickels in the piggy bank, you can set up a system of equations. By solving the system, it is determined that there are 43 nickels.

Explanation:

To find the number of nickels in the piggy bank, we need to set up a system of equations. Let's assume that the number of nickels is 'x' and the number of dimes is 'y'.

We know that there are a total of 91 coins, so we can write the equation: x + y = 91.

We also know that the value of the nickels is 5 cents and the value of the dimes is 10 cents. The total value of the coins is $6.95, so we can write the equation: 5x + 10y = 695.

Solving this system of equations will give us the number of nickels.

First, let's multiply the first equation by 5 to eliminate 'x'.

5x + 5y = 455

Next, subtract this new equation from the second equation.

(5x + 10y) - (5x + 5y) = 695 - 455

5y = 240

y = 48

Finally, substitute the value of 'y' back into the first equation to find 'x'.

x + 48 = 91

x = 43

Therefore, there are 43 nickels in the piggy bank.

A car is purchased for $24,000. After each year, the resale value decreases by 20%. What will the resale value be after 5 years?
Use the calculator provided and round your answer to the nearest

Answers

Answer: $7,864.32

Step-by-step explanation:

First you would do 100% -20% which would give you 80% (0.8)

1st year : $24,000 x 0.8 = 19,200

Then take your answer and times it by 0.8 again until you get to the 5th year

2nd year : $19,200 x 0.8 = $15,360

3rd year : $15,360 x 0.8 = $12,288

4th year : $12,288 x 0.8 = $9,830.40

5th year : $9,830.40 x 0.8 = $7,864.32

Therefore your final answer is $7,864.32

Final answer:

The resale value of the car after 5 years will be approximately $7,864.32.

Explanation:

To find the resale value of the car after 5 years, we need to calculate the depreciation rate each year and then apply it to the original purchase price. Since the resale value decreases by 20% each year, we can calculate the resale value after 5 years as follows:

After the first year, the resale value will be 80% of the original purchase price: $24,000 * 0.8 = $19,200.

After the second year, the resale value will be 80% of the previous year's resale value: $19,200 * 0.8 = $15,360.

After the third year, the resale value will be 80% of the previous year's resale value: $15,360 * 0.8 = $12,288.

After the fourth year, the resale value will be 80% of the previous year's resale value: $12,288 * 0.8 = $9,830.40.

After the fifth year, the resale value will be 80% of the previous year's resale value: $9,830.40 * 0.8 = $7,864.32.

Therefore, the resale value of the car after 5 years will be approximately $7,864.32.

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

False

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b

where m is the slope and c the y- intercept

True or False: In a correlation coefficient, a weak correlation means that the line does not fit the data well.
True).
False).

Answers

Answer:

True

Step-by-step explanation:

I think the answer should be true

A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area (shaded region) of the remaining portion of the circle in square feet?
A.25 feet
B.40 feet
C.50 feet
D.80 feet

Answers

Answer:

C

Step-by-step explanation:

area if squre is πr^2

so...

[tex]\pi {r}^{2} = 3.14 \times 7 \times 7 = 153.86 {ft}^{2} [/tex]

r means radius and...radius is diameter/2

now we must subtract the area of the square

[tex] {a}^{2} = 10 \times 10 = 100 {ft}^{2} [/tex]

[tex]153.86 - 100 = 53.86 {ft}^{2} [/tex]

nearest answer is 50

Answer:

Step-by-step explanation:

r = 14/2 = 7 feet

Area of circle=πr²=22*7*7/7 = 22*7= 154 sq. feet

Area of square = side*side = 10*10 =100

Area of shaded region = Area of circle - Area of square

    =154 - 100 = 54 sq. feet ≈ 50 sq. feet

Expand the following expression.

5.9(21 - 3.54x)
A.
123.9x - 20.886
B.
26.9 - 9.44x
C.
20.886 + 123.9x
D.
123.9 - 20.886x

Answers

Answer:

  D.  123.9 - 20.886x

Step-by-step explanation:

Using the distributive property, we find the expansion to be ...

  5.9(21) +5.9(-3.54x) = 123.9 -20.886x

_____

The distributive property tells you ...

  a(b+c) = ab +ac

The factor outside parentheses multiplies each of the individual terms inside parentheses.

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