what is the area of a rectangle with vertices with (2,3), (7,3), (7,10), and (2,10)

Answer:

The measure of angle x is 12°

Step-by-step explanation:

we know that

(4x+4)°+(5x-22)°=90° ----> by complementary angles

Solve for x

(9x-18)°=90°

9x=90°+18°

9x=108°

x=12°

Answer:

Jimmy and Jane

Step-by-step explanation:

They have used Pythagoras to find the length of BC. Moe is wrong because she wrote ( 1 - 4 ) ² but it's meant to be ( 4 - 1 ) ² and Alice is wrong because she forget to square 3,4 and x

Answer:

Spencer will pay off the item 3 months sooner if he pay $260 instead of $170 a month

Step-by-step explanation:

Total Amount = $1880

Down Payment = 20%

Monthly payment = $170

if Monthly payment increased from $170 to $260, How many months sonner Spencer will pay off?

So, First calculate the down payment

Down payment = 20% of 1880

                          = (20/100) * 1880

                         = 376

Amount left to be paid = 1880 - 376

                                     = 1504

Total months to pay off for Spencer if he pay's $170 a month:

1504/170 = 8.8 ≈ 9 months

Total months to pay off for Spencer if he pay's $260 a month:

1504/260 = 5.7 ≈ 6 months

So, 9 -6 = 3 months

So, Spencer will pay off the item 3 months sooner if he pay $260 instead of $170 a month

Answer:

3.8 cm

Step-by-step explanation:

The arc length formula is s = r·Ф, where Ф is the central angle in radians.

Here, s = (2 cm)(1.9 rad) = 3.8 cm

The length of the arc intercepted by a central angle of 1.9 radians in a circle with a radius of 2 cm is 3.8 cm, calculated by multiplying the radius (2 cm) by the angle in radians (1.9).

A circle has a radius of 2 cm and we need to find the length (s) of the arc intercepted by a central angle of 1.9 radians. The formula to find the arc length 's' for a circle is s = r * Θ, where 'r' is the radius and 'Θ' is the central angle in radians. We have 'r' = 2 cm and 'Θ' = 1.9 radians.

To find the arc length 's', we simply multiply the radius by the angle:

s = 2 cm * 1.9 radians = 3.8 cm.

Therefore, the length of the arc intercepted by a central angle of 1.9 radians in a circle with a radius of 2 cm is 3.8 cm.

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Answer:

(a + b) = 8x +4

(a - b) = -2x +16

(a * b) = [tex]15x^{2}+32x-60[/tex]

Step-by-step explanation:

We have been given the functions;

a(x) = 3x + 10 and b(x) = 5x − 6

Part A:

(a + b) = a(x) + b(x) # we simply add the two given functions

(a + b) = 3x + 10 + 5x − 6

(a + b) = 8x + 4

Part B:

(a - b) = a(x) - b(x) # we simply subtract the two given functions

(a - b) = (3x + 10 ) - (5x − 6)

(a - b) = 3x + 10 -5x +6

(a - b) = -2x + 16

Part C:

(a * b) = a(x)*b(x)

# we simply find the product of the two given functions

(a * b) = (3x + 10)*(5x − 6)

(a * b) = [tex]15x^{2}-18x+50x-60=15x^{2}+32x-60[/tex]

Part A

The functions a(x) = 3x + 10 and b(x) = 5x − 6 to complete the function operations listed below.

(a+b)(x)=a(x)+b(x)

(a+b)(x)=(3x+10)+(5x-6)

(a+b)(x)=3x+5x+10-6

(a+b)(x)=8x+4

Part B.

(a-b)(x)=a(x)-b(x)

(a-b)(x)=(3x+10)-(5x-6)

Expand the parenthesis to get:

(a-b)(x)=3x+10-5x+6

(a-b)(x)=3x-5x+10+6

(a-b)(x)=-2x+16

Part C

(a*b)(x)=a(x)*b(x)

(a*b)(x)=(3x+10)*(5x-6)

We expand to get:

[tex]a \times b = 15 {x}^{2} - 18x + 50x - 60[/tex]

[tex]a \times b = 15 {x}^{2} + 32x - 60[/tex]

C is 90°fare and height

Answer:

[tex] \sin(x) = \frac{4}{6 } \\ x = arcsin( \frac{2}{3} ) \\ x = 41.81 \: degrees [/tex]

Step-by-step explanation:

Google search inverse trigonometry geometry for an explanation

answer technically should say

measure of angle A equals 41.81 degrees

there should be the letter m in front of the angle symbol.

you need to find the median angle so you take the triangle (A) and solve for the angle using the inverse of sin.(B) take this angle and multiply it by 2 and you should have you arc length I think.

Answer:

89.0

Step-by-step explanation:

ANSWER

3

EXPLANATION

The given polynomial is

[tex] {a}^{2} + b - cd[/tex]

The terms of the polynomial are:

First term:

[tex] {a}^{2} [/tex]

Second term:

[tex]b[/tex]

Third term:

[tex] - cd[/tex]

Therefore the given polynomial has 3 terms.

Answer:

400 seats would be in each section.

Step-by-step explanation:

8,000/20 is equal to 400.

Hope this helps!

Please give brainliest :)

Answer:

B. Final Exams.

Step-by-step explanation:

The IQR is the difference between the lower and upper quartiles of the data and is a measure of the spread of the data.

Mid Term Exam:

First find the Median

This is (95+92)/2 = 93.5.

The Lower quartile is the median of the bottom 5 values = 88.

The upper quartile is the median of the top 5 values = 100

So the IQR = 100 - 88 = 12.

Final Exam.

We find the IQR of the Final exam data in a similar way:

It comes to 93 - 78 = 15.

Answer:D

Step-by-step explanation:

In corresponding angles formed by parallel lines intersected by a transversal line, the angles are equal. So, if the measure of angle 6 is 21°, the measure of corresponding angle 4 will also be 21°.

The subject of this question is geometry, specifically dealing with parallel lines and the angles formed when a line intersects them. In the given diagram, we are told that lines a and b are parallel (represented as a || b). Therefore, we can use the properties of parallel lines to find the measure of angle 4. When a line intersects two parallel lines, it forms corresponding angles which are equal. Since we know the measure of angle 6, which is 21°, and angle 4 and 6 are corresponding angles, therefore the measure of angle 4 is also 21°. So, the answer is A) 21°.

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Answer:

b=-.5

Step-by-step explanation:

The value of b in the equation 12 - b = 12.5 is determined by subtracting 12 from both sides and then multiplying by -1, resulting in b = -0.5.

The student is asking to solve for b in the equation 12 - b = 12.5. To find the value of b, you need to isolate the variable on one side of the equation. This is done by subtracting 12 from both sides, resulting in -b = 12.5 - 12, which simplifies to -b = 0.5. To get b by itself and not -b, you multiply both sides of the equation by -1, giving b = -0.5.

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Answer:

11 ≤ n

Explanation:

[tex] \frac{66}{6} = 11[/tex]

More than indicates the minimum value, so you use the greater than or equal to.

The above answer is written in reverse, which the exact same result.

I am joyous to assist you anytime.

Answer:

There are 200 $8 tickets

There are 150 $10 tickets

There are 50 $12 tickets

Step-by-step explanation:

Let a = number of $8 tickets

Let b = number of $10 tickets

Let +c = number of $12 tickets

given:

(1) a+b+c = 400

(1) 8a+10b+12c = 3700

(1) a+b = 7c

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

This is 3 equations and 3 unknowns, so

it should be solvable

Substitute (3) into (1)

(1) 7c+c = 400

(1) 8c= 400

(1) c = 50

Plug this value into (2)

(2) 8a+10b+12*50= 3700

(2) 8a+10b+600= 3700

(2) 8a+10b= 3100

(2) 4a+5b= 1550

and

(1) a+b+c= 400

(1) a+b+50= 400

(1) a+b= 350

Multiply both sides of (1) by +4+

(1) 4a+4b= 1400

Subtract (1) from (2)

(2) 4a+5b+=+1550+

(1) -4a-4b= -1400

b= 150

and, since

(3) a+b= 7c

(3) a+150= 7*50

(3) a= 350-150

(3) a= 200

_________________

There are 200 $8 tickets

There are 150 $10 tickets

There are 50 $12 tickets

____________________________

check:

(2) 8*200+10*150+12*50= 3700

(2) 1600+1500+600= 3700

(2) 3700= 3700

Each type was sold are 200 for $8, 150 for $10, and 50 for $12 if the ticket prices were $8, $10, and $12, and the total income from ticket sales was $3700.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

At a college production of A Streetcar Named Desire, 400 tickets were sold. The ticket prices were $8, $10, and $12, and the total income from ticket sales was $3700.

Let x be the number of $8 tickets

Let y be the number of $10 tickets

Let z be the number of $12 tickets

From the data given in the question, we can frame three linear equation in three variables:

x + y + z = 400

8x + 10y + 12z = 3700

x + y = 7z

After solving the above equations by elimination method:

We get:

x = 200

y = 150

z = 50

Thus, each type was sold are 200 for $8, 150 for $10, and 50 for $12 if the ticket prices were $8, $10, and $12, and the total income from ticket sales was $3700.

Learn more about the linear equation here:

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Answer:

 The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. 

so....

About 24 necklaces have more than 28 beads. 

About 48 necklaces have more than 28 beads. 

About 80 necklaces have more than 28 beads. 

About 96 necklaces have more than 28 beads

 About 80 necklaces have more than 28 beads. 

Step-by-step explanation:

About 80 necklaces have more than 28 beads. 

7 Pounds Equals 112.0000oz.

Have A Great Day!

Answer:

Two solutions were found :

x = 6

x = 0

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 32x2 -  54x  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  9x2 - 54x  =   9x • (x - 6)  

Equation at the end of step  3  :

 9x • (x - 6)  = 0  

Step  4  :

Theory - Roots of a product :

4.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

4.2      Solve  :    9x = 0  

Divide both sides of the equation by 9:

                    x = 0  

Solving a Single Variable Equation :

4.3      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

Answer:

x = 6...... x = 0

Step-by-step explanation:

a p e x.

Step-by-step explanation:

Answer:

The correct answer is A:-3a^3+2a

For this case we must find the quotient of [tex]21a^3-14a[/tex] between -7:

That is to say:

[tex]\frac {21a ^ 3-14a} {- 7} =\\\frac {21a ^ 3} {- 7} + \frac {-14a} {- 7}[/tex]

We know that:

[tex]\frac {21} {7} = 3\\\frac {14} {7} = 2\\\frac {+} {-} = -[/tex]

Finally:

[tex]-3a ^ 3 + (2a) =\\-3a ^ 3 + 2a[/tex]

Answer:

[tex]-3a ^ 3 + 2a[/tex]

Option A

Green thumbs sells lowest price. If you divide the$amount by the amount of roses, you'll get

Flora's : $13.50/3= $4.50 each rose

Green: $15/4= $3.75 each rose

Discount F: $23/6= $3.83 each rose

Answer:

the equation to find the height is: x = 25 * tan(30°) and the height is x = 14.43 feet

Step-by-step explanation:

Length  of tree = 25 feet

Angle of elevation = 30 degrees

Equation for the height of tree=?

Let x represent the height.

We know that tan Ф = Perpendicular/Base

tan Ф = height of tree/ length of base

tan Ф = x/l

=> x = l*(tanФ)

x = 25 * tan(30°)

Now, putting values:

x= 25 * tan(30°)

x = 25 * 0.577

x = 14.43 feet

So, the equation to find the height is: x = 25 * tan(30°) and the height is x = 14.43 feet

Answer:

C. 3x + 8

Step-by-step explanation:

A. can be factored; Factor 5 from all terms:

(15x - 10)/5 = 3x - 2

B. can be factored; Factor 4 from all terms:

(4x + 8)/4 = x + 2

D. can be factored; Factor 2 from all terms:

(2x - 2)/2 = x - 1

~

Answer:

0.267949192 8s the value of tan 195°

Answer:

p(side effects|child) = 0.44

p(side effects|adult) = 0.14

Conclusion: children have a much greater chance of having side effects than adults.

Step-by-step explanation:

i just did it on apex. good luck!

Answer:

p(side effects/child) = 0.44

p(side effects/adult) = 0.14

Conclusion: Children have a much greater chance of having side effects than adults

~apex

Answer:

2.6 pounds of apples; 1.2 pounds of bananas

Step-by-step explanation:

A = pounds of apples and B = pounds of bananas

The total weight is 3.8 pounds, so:

A + B = 3.8

Apples are $1.90 per pound and bananas are $0.75 per pound, and the total cost is $5.84, so:

1.90A + 0.75B = 5.84

We can solve the system of equations using either elimination or substitution.

Using substitution:

1.90A + 0.75(3.8 - A) = 5.84

1.90A + 2.85 - 0.75A = 5.84

1.15A = 2.99

A = 2.6

B = 3.8 - A

B = 1.2

The answer is:

The correct option is the first option,

[tex]{x|x<8}[/tex]

To solve the problem, we need to remember that the way to solve inequalities is almost the same that solving normal equations.

So, we are given the inequality, we have:

[tex]3(x-2)<18[/tex]

Now, solving we have:

[tex]3(x-2)<18\\\\(x-2)<\frac{18}{3} \\\\x-2<6\\\\x<6+2\\\\x<8[/tex]

Hence, we have that solution to the inequality is:

[tex]x<8[/tex]

So, the correct option is the first option,

[tex]{x|x<8}[/tex]

Have a nice day!

Answer:

[tex]\large\boxed{\{x\ |\ x<8\}}[/tex]

Step-by-step explanation:

[tex]3(x-2)<18\qquad\text{use the distributive porperty}\ a(b+c)=ab+ac\\\\(3)(x)+(3)(-2)<18\\\\3x-6<18\qquad\text{add 6 to both sides}\\\\3x-6+6<18+6\\\\3x<24\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}<\dfrac{24}{3}\\\\x<8}[/tex]

Answer:

28 boxes

Step-by-step explanation:

We need to take the total number of cans needed and divide by the number of cans per box to determine the number of boxes

895 / 32 =27  with 31 left over

Making this a fraction

27 31/32 boxes

We cannot normally order part of a box

Rounding up to the next whole box

28 boxes

Answer:

136 un²

Step-by-step explanation:

Rectangles/linear faces: 7 * (5 + 6 + 5) = 7 * 16 = 112

Triangles/bases: 2 * 1/2(6 * 4) = 24

Total: 24 + 112 = 136 un²

The surface area-to-volume ratio is used in Biology to predict cell efficiency in eliminating wastes or procuring nutrients by diffusion.

In Biology, the surface area-to-volume ratio is used to predict which cells might eliminate waste or procure nutrients faster by diffusion. This ratio is calculated by dividing the surface area of a cell by its volume. Cells with a larger surface area-to-volume ratio are more efficient at exchanging materials with their surroundings.

For example, consider a small cell with a high surface area-to-volume ratio. This cell has a relatively larger surface area compared to its volume, which allows for faster diffusion of nutrients into the cell and waste products out of the cell. In contrast, a larger cell with a lower surface area-to-volume ratio has a relatively smaller surface area compared to its volume, resulting in slower diffusion.

By analyzing the surface area-to-volume ratio, we can predict which cells have a greater capacity for diffusion and therefore can eliminate wastes or procure nutrients at a faster rate.

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Answer:

Step-by-step explanation:

[tex]a_1=-24\\a_2=-24+10=-14\\a_3=-14+10=-4\\a_4=-4+10=6\\\\\text{Add the common difference d = 10 to the previous term.}\\\\a_5=a_4+10\to a_5=6+10=16\\a_6=a_5+10\to a_6=16+10=26\\a_7=a_6+10\to a_7=26+10=36\\\vdots[/tex]

Answer:

It is 17,18 and 19

Step-by-step explanation:

Consecutive numbers are

x, x+1, x+2

x+x+1+x+2=54

3x+3=54

-3       -3

3x=51

x=17

17

17+1=18

17+2=19

17, 18 and 19