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3 years ago

Find the coordinates of E' after a dilation with a scale factor of 2.

Mathematics

1 answer:

V125BC [204]3 years ago

4 0

Answer:

(more information is needed, the origin of the dilation and the coordinates for E)

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Construction paper cost $0.10 per square inch. How much will Susan spend to make this figure out of construction paper?

AfilCa [17]

The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

Step-by-step explanation:

The given is,

Construction paper cost $0.10 per square inch

Pyramid diagram with dimensions

Step:1

Formula to calculate the area of pyramid,

$Area, A = lw+l\sqrt{(\frac{w}{2}) ^{2} + h^{2} } +w \sqrt {(\frac {l} {2}) ^{2} + h^{2} }$ ..............(1)

Where,

l - Base length

w - Base width

h - Height of pyramid

From given,

l = 12 inches

w = 12 inches

For height of pyramid,

By using Pythagorean theorem,

$Hypotenuse^{2} = Base^{2} + Height ^{2}$ .................(2)

For right angle triangle,

Base = $\frac{12}{2}$ = 6 inches

Equation (2) becomes,

$8^{2} = 6^{2} + Height^{2}$

$Height^{2} = 8^{2} - 6^{2}$

$Height^{2} = 64 -36 = 28$

$Height = \sqrt{28}$

Height = 5.2915 inches

h - 5.2915 inches

Equation (1) becomes,

$A = (12)(12)+(12)\sqrt{(\frac{12}{2}) ^{2} + 5.2915^{2} } +(12 )\sqrt {(\frac {12} {2}) ^{2} + 5.2915^{2} }$

$= 144+(12)\sqrt{(36+27.999)} +(12)\sqrt{(36 + 27.999)}$

$= 144+(12)\sqrt{63.999}+(12)\sqrt{63.999}$

$= 144+(12)(7.9999)+(12)(7.9999)$

$=144+95.999+95.999$

$=335.998$

≅ 336 square inches

Where,

$0.10 per square inch ( from given)

Paper cost of total figure = 336 square inches

= 336 × 0.10

= $ 33.60

Result:

The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

8 0

2 years ago

Which value of y would make O P is parallel to L N?

alina1380 [7]

Answer:

36 units

If OP is parallel to LN then we have, Substituting the respective values we obtain, Therefore option D is correct, y=36 units make OP||LN.

6 0

3 years ago

I need help ASAP! Please! 20 points!

ch4aika [34]

A)each foot equals 12 inches

B)12x

C)252=12x divide each side by 12 then x=21

7)2.54x multiply by 12 and then the answer is 30.48

5 0

3 years ago

Ms.Miller decides to give a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and op

wariber [46]

The number of multiple-choice questions is 30.

The number of open-response questions is 6.

<h3>What is an equation?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

Number of multiple choice questions = M

Number of open response questions = N

We can make two equations.

M + N = 36 _______(1)

3M + 5N = 120 ______(2)

From (1) we get,

M = 36 - N ______(3)

Putting (3) in (2) we get,

3(36 - N) + 5N = 120

108 - 3N + 5N = 120

2N = 120 - 108

2N = 12

N = 6

Now,

Putting N = 6 in (3) we get,

M = 36 - 6

M = 30

Thus,

The number of multiple-choice questions and open-response questions is 30 and 6.

Learn more about equations here:

brainly.com/question/17194269

#SPJ1

4 0

10 months ago

The measure of arc AB is °.

sergeinik [125]

Answer:

Step-by-step explanation:

hmmm its A or C hmm i think C i hope i help but at least i tried and stay safe.

7 0

3 years ago

Read 2 more answers