Help anyone on these 3 problems

Answer:

200.34 cm²

Step-by-step explanation:

Answer:

13.6 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ← b is the base and h the height

here A = 216.24 and h = 15.9, hence

15.9b = 216.24 ( divide both sides by 15.9 )

b = [tex]\frac{216.24}{15.9}[/tex] = 13.6 cm

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

Answer:

The answer is 1/4 Also if your having a hard time with fractions use calculator soup its easy thats what i use

Step-by-step explanation:

The simplest form of the expression 1/2 - 1/4 is 1/4.

To simplify the expression 1/2 - 1/4, we first need to find a common denominator, which is the same denominator that both fractions share. In this case, the common denominator is 4.

To make 1/2 have a denominator of 4, we need to multiply both the numerator and denominator by 2. This gives us (1 * 2) / (2 * 2), which simplifies to 2/4.

So, the expression becomes 2/4 - 1/4. Now that both fractions have the same denominator, we can subtract their numerators while keeping the denominator the same:

(2 - 1) / 4 = 1/4

Therefore, the simplified form of 1/2 - 1/4 is 1/4. This means that if you have half (1/2) of something and you subtract a quarter (1/4) from it, you are left with one-quarter (1/4) of that something.

Simplifying fractions is essential in mathematics because it helps express quantities in their most reduced and straightforward forms, making them easier to work with and understand. In this case, 1/2 - 1/4 simplifies to 1/4, representing a clear and concise result.

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Answer:

Step-by-step explanation:

10 x = x - 3     Subtract x from both sides

10x - x = - 3    Combine like terms on the left

9x = - 3           Divide both sides by 9

9x/9 = -3/9

x = - 1/3 or x = - 0.333333

Answer:129

Step-by-step explanation:you just have to add them together

Final answer:

The probability that the card drawn by Roger from a standard deck is not red is 50%, as exactly half of the cards in a standard deck are black (non-red).

Explanation:

The student has asked what the probability is that a card drawn from a standard deck of 52 cards is not red. Given that half the cards are red (diamonds and hearts) and the other half are black (clubs and spades), we can easily calculate this probability.

Since there are 26 black cards (13 clubs and 13 spades) out of a total of 52 cards, the probability of drawing a black card is 26 out of 52, which can be simplified to 1/2 or 0.5. Therefore, the probability that Roger draws a card that is not red is 50%.

Answer:

Step-by-step explanation:

(-7*4x)(-7*-3)

-28x+21

Thats the answer

To simplify the expression -7(4x-3), distribute -7 to each term inside the parentheses and multiply. The simplified expression is -28x + 21.

To simplify the expression -7(4x-3) using the distributive property, you need to distribute the -7 to each term inside the parentheses. This means multiplying -7 by both 4x and -3.

The product of -7 and 4x is -28x, and the product of -7 and -3 is 21.

Therefore, the simplified expression is -28x + 21.

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Answer:

Step-by-step explanation:

Yes; the 3 points all lie on EG.

Answer: Yes;they lie on EG

Step-by-step explanation:

Answer:

A. $1,110

B. 50 units.

Step-by-step explanation:

A. Substitute [tex]x=18[/tex] into the function [tex]T(x)=4x+2[/tex] for calculate the time in hours required for the worker to produce 18 units:

[tex]T(18)=4(18)+2=74[/tex]

Now you need to substitute [tex]T=74[/tex] into the function [tex]S(T)=15T[/tex] to calculate the amount in dollars she will be paid for 74 hours:

[tex]S(74)=15(74)=1,110[/tex]

She will be paid $1,110.

B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute [tex]S(T)=3,030[/tex] into the function [tex]S(T)=15T[/tex] and solve for T (to find the number of hours she requires to work to be paid $3,030)

[tex]3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202[/tex]

Now, substitute [tex]T(x)=202[/tex] into [tex]T(x)=4x+2[/tex] and solve for x, to calculate the number of units she produces in 202 hours:

[tex]202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50[/tex]

She would need to produce 50 units to be paid $3,030

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Step-by-step explanation:

Answer:

2 11/12

Step-by-step explanation:

first we need to convert 3/4 and 2/3 to even denominators. I used the number 12.

9/12 + 8/12 = 17/12

1/2 = 6/12

17/12 + 6/12 = 23/12

23/12 = 1 11/12

But we still have 1 from the 1 1/2 so add that

1 + 1 11/12 = 2 11/12

2 11/12

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The points (6,1), (5,6), (-4,3), (-3,2) are the vertices of a parallelogram.

As we know mid point of diagonal are same.

Mid point of (6,1) and (-4,3) = (1,2)

Mid point of(5,6) and (-3,-2) = (1,2)

This is parallelogram.

The points (6,1), (5,6), (-4,3), (-3,2) are not the vertices of a parallelogram

Parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

let the vertices of a parallelogram be A(6,1), B(5,6), C(-4,3) and D(-3, 2)

by distance formula we have,

Distance between two points

Distance=√(x₂-x₁)²+(y₂-y₁)²

AB=√(5-6)²+(6-1)²=√1+25=√26

BC=√(-4-5)²+(3-6)²=√81+9=√90

CD=√(-3-4)²+(2-3)²=√49+1=√50

DA=√(-3-6)²+(2-1)²=√81+1=√82

AB is not equal to CD and BC not equal to AD

Opposite sides are not equal.

Hence, the points (6,1), (5,6), (-4,3), (-3,2) are not the vertices of a parallelogram

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[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}[/tex]

The distance between (-3, 2) and (5, -6) is [tex]\(8\sqrt{2}\)[/tex] units.

The distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a two-dimensional Cartesian plane can be found using the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

In this case, the points are (-3, 2) and (5, -6). Let's plug in these values into the formula:

[tex]\[ d = \sqrt{(5 - (-3))^2 + ((-6) - 2)^2} \][/tex]

Simplify the expression inside the square root:

[tex]\begin{aligned}& d=\sqrt{(5+3)^2+(-8)^2} \\& d=\sqrt{8^2+64} \\& d=\sqrt{64+64} \\& d=\sqrt{128} \\& d=8 \sqrt{2}\end{aligned}[/tex]

Answer:

KPF = 9 and H = 129

Step-by-step explanation:

An inscribed quadrilateral in a circle has all diagonal angles add up to 180, so we can use this to find the angles of the quadrilateral.  

H= 180-EPK and K = 180-E so H = 129 and K = 60

Now PF and EH are parallel, so PE is a transversal.   That means FPE = 180 - E = 60.  Now it's pretty easy to solve for KPF = FPE - EPK = 60 - 51 = 9.

Let me know if you don't see how I did any of this and I'll be happy to explain it..

Answer:

The coordinates of the intersection point are [tex](7,-2)[/tex]

Step-by-step explanation:

we have

[tex]x+y=5[/tex] -----> equation A

[tex]2x-y=16[/tex] -----> equation B

[tex]x+2y=3[/tex] -----> equation C    

we know that

If the system of equations intersect at one point, then the system of equations has one solution

using a graphing tool

see the attached figure

The coordinates of the intersection point are [tex](7,-2)[/tex]

This point is a common solution for the three equations

Verify

Substitute the value of [tex]x=7, y=-2[/tex] in each equation

so

Equation A

[tex]x+y=5[/tex]

[tex]7-2=5[/tex]

[tex]5=5[/tex] ----> is true, therefore the point is a solution of the equation A

Equation B

[tex]2x-y=16[/tex]

[tex]2(7)+2=16[/tex]

[tex]16=16[/tex] ----> is true, therefore the point is a solution of the equation B

Equation C

[tex]x+2y=3[/tex]

[tex]7+2(-2)=3[/tex]

[tex]3=3[/tex] ----> is true, therefore the point is a solution of the equation C

Answer:

= 15.556 in

Step-by-step explanation:

Since this is a 45-45-90 triangle, we can tell that;

One of the theorems of geometry, the Isosceles Right Triangle Theorem, says that the hypotenuse is √2 times the length of a leg.

Therefore;

hypotenuse = leg × √2

If we take hypotenuse as x

Since the leg is 11;

Then; x = 11√2

x = 11/√2

x = 15.556 in

Answer:

  154 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (22) * 14

  154 cm^2

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

b - base

h - height

From the picture we have a base b = 22cm and a height h = 14cm.

Substitute:

[tex]A_\triangle=\dfrac{(22)(14)}{2}=(11)(14)=154\ cm^2[/tex]

Answer:

176.08952318965774 or 176.1

Step-by-step explanation:

Tan(64) = h/75

Tan(64) * 75

= 176.08952318965774

The answer is twelve.

3/4 x 4 = 12/16

12/16 divided by 1/16 is 12z

The number of laps that she swam will be 12 laps.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Julia swam 3/4 of a mile in the pool. If each lap is 1/16 of a mile.

Then the number of laps that she swam will be given as,

⇒ (3/4) ÷ (1/16)

⇒ 3 x 16 / 4

⇒ 3 x 4

⇒ 12 laps

The number of laps that she swam will be 12 laps.

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Answer:

3,579.6

Step-by-step explanation:

Volume of a cylinder: V = πr^2h

Answer:

3580 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

r = 10 ft

h = 11.4 ft

Calculations:

V = πr²h = 3.14 × 10² × 11.4 = 3580 ft³

The approximate volume of the cylinder is 3580 ft³.

y = kx

30 = 6k

k = 5

a) y = 5x

y = 5 × 12

b) y = 60

The equation that connects y and x here is y = 5x, found by realizing y is directly proportional to x. Substituting the given values into this equation reveals that when x = 12, y = 60.

In the given question, y is directly proportional to x. This can be written as y=kx, where 'k' is the constant of proportionality. When y=30 and x=6, substituting these values into the equation gives us 30=k*6. Solving for 'k', we get k=30/6 = 5, meaning our equation becomes y = 5x.

For part b), we can find the value of y when x=12 by substituting the value of x in our equation, y = 5x. This gives us y = 5*12, which results in y = 60.

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Answer:

24

Step-by-step explanation:

6 times 8 is 48 and i divided that by 2

Answer:

The answer is 24

Step-by-step explanation:

So simple

1) just Multiply

6 x 8 = 48

then divide by 2

48/2 = 24

Hope this help you!

Answer:

15-x

Step-by-step explanation:

x subtracted from 15 - key word is subtracted from

that means flip it when it is written so it is 15-x

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ The algebraic expression for x subtracted from 15 is:

15-x

This is because it says x subtracted from 15, meaning x is taken out of 15.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

The square root of 121.

Step-by-step explanation:

The square root of 121 is 11. 11x11=121 which makes the square root of 121, 11. The cube root of 125 is 5. Cube roots are numbers that are multiplied by each other to make a number, 125 is 5x5x5 so the cube root is 5. 11 is a greater number than 5 which makes the square root of 121 greater.

[tex]\bold{Hey\ there!}\\ \\ \bold{\sqrt{121}=11^2=11\times11=121} \\ \bullet{\sqrt{121}=11} \\ \\ \bold{\sqrt{125}=\sqrt[5]{5}=5} \\ \bold{\bullet{The\ cubed\ root\ of\ 125\ is\ 5}}  \\ \\ \boxed{\boxed{\bold{Answer:\sqrt{121}\ is\ bigger\ than\ \sqrt[125]}}}[/tex][tex]\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

The answer is 1

So first you will multiply the terms with the same base by adding their exponents. Then solve the exponents. Then the only thing you will have left is 7 to the power of 0. Which equals 1

Answer:

The best estimate of the area of the larger figure is [tex]693\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=12\ cm[/tex]

[tex]y=9\ cm[/tex]

substitute

[tex]z=\frac{12}{9}=\frac{4}{3}[/tex] -----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its  areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]z=\frac{4}{3}[/tex]

[tex]y=390\ cm^{2}[/tex]

substitute and solve for x

[tex](\frac{4}{3})^{2}=\frac{x}{390}[/tex]

[tex](\frac{16}{9})=\frac{x}{390}[/tex]

[tex]x=390*16/9=693.33\ cm^{2}[/tex]

Without the line plot data for Josh's basketball game points, we cannot determine how many games he scored more than six points. However, to create a side-by-side stem-and-leaf plot, you separate the tens and ones to form stems and leaves and compare wins and losses.

To answer the question of how many games Josh scored more than six points, you would need to refer to the specific line plot data, which is not provided here. Since we don't have the actual line plot, we cannot accurately determine the number of games in which Josh scored more than six points.

In general, if you have a line plot illustrating the points scored by Josh in his basketball games, you would count the number of times the data points exceed the number six on the plot. That count would represent the number of games he scored more than six points.

For the task of creating a side-by-side stem-and-leaf plot for the wins and losses of a sports team over 42 seasons, you would first separate the tens and the ones to make the stems and leaves. For example, if a team won 10 games in a season and lost 9 games, the stem would be '1' for both, and the leaves would be '0' for wins and '9' for losses. This process would repeat for all 42 seasons, organizing the data side-by-side to easily compare wins and losses.

Answer:

The area of the circle is [tex]616\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

In this problem we have

[tex]r=D/2=28/2=14\ cm[/tex] ----> the radius is half the diameter

substitute

[tex]A=(22/7)(14)^{2}=616\ cm^{2}[/tex]

Answer:

9/2

Step-by-step explanation:

Answer:

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}

Step-by-step explanation:

sinx can run from -1 to +1

2sinx can run from -2 to +2

2sinx -1 can run from -3 to +1

However, the square root is imaginary when x < 0. So, the condition is

2sinx -1 ≥ 0

2sinx ≥ 1

sinx ≥ ½

x ≥ π/6 (30°)

So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6

However, the sine is a cyclic function and repeats itself every 2π.

Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).

The domain is then

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}