The area of a trapezoid is 36 square inches. What is the new area of the trapezoid if the two bases were decreased by one-third
Answer:_square inches

Answers

Answer 1

Answer:

21 square inches

Step-by-step explanation:

Use any numbers within reason that multiply to 36

Ex: H=9, Lower base= 2, Upper base= 5

2/3 of 2=1. 1/3

2/3 of 5 = 3 1/3

1. 1/3+3. 1/3=4 2/3

4 2/3 x 9 = 42

42/2 = 21

(The beginning dimensions do not matter, as long as they equal 36.)


Related Questions

The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member and y = y equals StartFraction 1 Over 5 EndFraction x. x for a nonmember. Explain how the graph of a nonmember’s yearly cost will differ from the graph of a member’s yearly cost.

Answers

Answer:

The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.

Step-by-step explanation:

I hope I have your equations correct:

Member:

y = 1/10x + 60

Non-Member:

y = 1/5x

The graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

How to solve graphs of straight line

According to the question;

For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a non-member; y equals StartFraction 1 Over 5 EndFraction x.

In essence; the mathematical equation for a member is;

y = (1/10)x + 60.

For a non-member;

y = (1/5)x.

Ultimately, the graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

Read more on graphs of straight line;

https://brainly.com/question/14808962

Find the 12th term of the geometric sequence 2, -4, 8,

Answers

Answer:

-4096

Step-by-step explanation:

Pattern: *-2

2, -4, 8, -16, 32, -64, 128, -256, 512, -1024, 2048, -4096

Answer:

-4096

Step-by-step explanation:

The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?

Answers

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.

Answers

Answer:

[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

[tex]X \sim Binom(n=2, p=0.01)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

And we can find the probability:

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Picture attached PLEASE HELP

Answers

Answer:

3

Step-by-step explanation:

The x value is half of the y value on this chart.

Which statement can you be sure is true?

A.

NO
is parallel to ML.
B.

NO
is proportional to ML.
C.

NO
is not parallel to ML.
D.
None of the above is true.

Answers

Answer:

C

Step-by-step explanation:

NO is not parallel to ML.

The volume of this cone is 376.8 cubic feet. What is the radius of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Height is 10ft

Answers

Answer:

The radius of the cone is 6 feets.

Step-by-step explanation:

We have,

Volume of the cone is 376.8 cubic feet

Height of the cone is 10 ft

It is required to find the radius of this cone. The formula of the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

r is radius of cone

[tex]r=\sqrt{\dfrac{3V}{\pi h}} \\\\r=\sqrt{\dfrac{3\times 376.8}{3.14\times 10}} \\\\r=6\ ft[/tex]

So, the radius of the cone is 6 feets.

A box is designed to hold pencils. The front of the box will be made from a clear material for display. The rest of the box will be made from cardboard.


A prism has a length of 20 centimeters, height of 5 centimeters, and width of 4 centimeters.


What is the surface area of the side with the clear material?

Answers

Answer:

area of a rectangle/front side of the box = 100 cm²

Step-by-step explanation:

The prism box is a rectangular prism and the front side of the box will be made of the clear material. The other sides will be made of cardboard paper. The surface area of the side with clear material is only the area of the front side of the box. The area of only the front side is the area of 1 rectangle.

The box has a length of 20 cm , height of 5 cm and a width of 4 cm. The surface area of only the front side of the box which is the area of one rectangle only deals with the height and the length.

area of a rectangle/front side = length × height

where

length = 20 cm

height = 5 cm

area of a rectangle/front side = 20 × 5

area of a rectangle/front side = 100 cm²

Answer:

D. 100

Step-by-step explanation:

20x5=100

I did the test! Good luck with the rest of your test! Have a good day/night! <3

*place holder since picture has the work*

Answers

Answer:

rhombus

Step-by-step explanation:

The correct answer would be a rhombus.
a rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

AB
Round your answer to the nearest hundredth.
С
50°

6
?
B​

Answers

Answer:

AB ≈ 7.83

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB }[/tex] = [tex]\frac{6}{AB}[/tex]

Multiply both sides by AB

AB × sin50° = 6 ( divide both sides by sin50° )

AB = [tex]\frac{6}{sin50}[/tex] ≈ 7.83 ( to the nearest hundredth )

PLEASE HELP ME GREATLY APPRECIATE IT

Answers

Answer:

D

Step-by-step explanation:

Look at the attachment

Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x

Answers

Answer:

ln(216[tex]x^{4}[/tex] )

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

log [tex]x^{n}[/tex] ⇔ n log x

Given

3ln6 + 4lnx

= ln 6³ + ln[tex]x^{4}[/tex]

= ln (216[tex]x^{4}[/tex] )

Solve the following proportion 9/x = 3/12

A. 36
B. 6
C. 24

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{9}{x}=\frac{3}{12}\\\\[/tex]

Cross multiply,

9*12 = x*3

[tex]\frac{9*12}{3}=x[/tex]

x = 3*12

x = 36

Answer:

36

Step-by-step explanation: Hope this helps! :)

NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?

Answers

Answer:

16.0%

Step-by-step explanation:

Can some one help me???

Answers

Answer:

You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even

Step-by-step explanation:

What is the area of the triangle?

A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches

Answers

The answer is D = 12 square inches

Answer:

The answer is A. 6 square inches

Step-by-step explanation:

The area of a triangle is half the product of the height and base

a real number line can represent both real and imaginary numbers

True or false ?

Answers

Answer:

True

Step-by-step explanation:

True is the answer to this question

A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate and the area of the circular flower bed

Answers

Answer:

31.4

Step-by-step explanation:

im not good at math idk if i would trust my answer

but what i did was multiply 10 by pi

area of circle is =pie r^2 so you calculate A= pie 5^2 Area is 78.54



E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.

Answers

Answer:

A

Step-by-step explanation:

Divide both sides of the equation by c²

Quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line. Which line segment in the image corresponds to NO in the pre-image? I want to say CD but not 100% sure. Only correct answers please. Very important. Working on it now​

Answers

Answer:

CD

Step-by-step explanation:

Reflection is a rigid transformation which always create a congruent image of the original image or pre-image.

If quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line.

Then both the quadrilaterals are congruent.

To find the line segment in the image corresponds to NO in the pre-image, just check the order of the letters in the name of quadrilaterals.

Also, In reflection image and its pre-image are equidistant from the line of reflection

hence, CD is the line segment in the image corresponds to NO in the pre-image.

BRAINLIST THIS ANSWER

Please help me with this.

Answers

Answer:

the ancer is 1

Step-by-step explanation:

Help me I will give you brainliest!!!!

Answers

Answer:

2/36

Step-by-step explanation:

There are 36 possibilities when rolling a die

There are 2 that sum to 11

P (sum of 11) =  sum of 11/ total

                      =2/36

                        1/18

Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is .

The probability that 3 out of the next 5 voters approving the proposal is

Answers

Answer:

Probability that 3 out of the next 5 voters approving the proposal is 0.3125.

Step-by-step explanation:

We are given that the sample probability of the voters approving the proposal is 50% and Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]

where, n = number of trials (samples) taken = 5

            r = number of success = exactly 3

            p = probability of success which in our question is probability of

                  the voters approving the proposal, i.e; p = 50%

Let X = Number of voters approving the proposal

So, X ~ Binom(n = 5 , p = 0.50)

Now, Probability that 3 out of the next 5 voters approving the proposal is given by = P(X = 3)

               P(X = 3)  =  [tex]\binom{5}{3} \times 0.50^{3} \times (1-0.50)^{5-3}[/tex]

                              =  [tex]10 \times 0.50^{3} \times 0.50^{2}[/tex]

                              =  0.3125

without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct​

Answers

Answer:

The shapes are the same, just one is sideways. They also have very similar measurements.

Step-by-step explanation:

Even so, when we check this we get:

(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2

when simplified (solved) this is: 18 3/8 = 18 3/8

PLEASE HELP ME
10 points

Answers

Answer:

Between -2 and 0

Step-by-step explanation:

Find S(13) when S(n) = n ^ 2

Answers

Answer:

169

Step-by-step explanation:

We plug in 13 for n, and when we do so we get S(13) = 13² = 169. Hope this helps!

Answer:

169

Step-by-step explanation:

N=13 therefore you have to do 13 to the second power 13•13=169

Please help WILL GIVE BRAINLIEST‼️

Answers

Answer:

384 cubic meters

Step-by-step explanation:

Think of it as two rectangles on top of each other and then add the two volumes.

Volume is l*w*h

So for the bottom rectangle: (8) (12) (2) = 192 cubic meters

And for the top rectangle: (4)(6)(8) = 192 cubic meters

It is important to remember that for the top box you have to subtract the height of the bottom box which is why I used 4 for the height instead of 6.

Then you add them together.

192+192 = 384 cubic meters

The picture is up there thank you!

Answers

Answer:

4

Step-by-step explanation:

because it is the most # of pictures

what is the area of the parallelogram

A. 11in2

B. 22in2

C. 45in2

D. 60in2

Answers

Answer:

Step-by-step explanation:

Area of a parallelogram is base times height. So 15x4

It’s 60in^2

So D

Answer:

D. 60 inches^2

Step-by-step explanation:

The area of a parallelogram can be found using:

a=bh

We know that the height is 4 inches, and the base is 15 inches. Therefore, we can substitute 4 in for h and 15 in for b.

a=4*15

Multiply 4 and 15

a=60

Area is always units^2. We know the units are inches, therefore the area is:

60 inches^2, or choice D

what is the surface of the square pyramid ?

A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)

Answers

Answer:

D. 20,250 square yards

Step-by-step explanation:

Base + 4 triangles

(75×75) + 4(½×75×97.5)

5626 + 14625

20250 yd²

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