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3 years ago

5

The blueprint of a rectangular house is 2.5 inches by 1.5 inches. If the scale is 1:20, what is the perimeter of the actual hous

e in feet?

1 answer:

defon3 years ago

4 0

Answer:

160

Step-by-step explanation:

(2.5 x 2)+(1.5 x 2) =8 (perimeter of scale)

8x20 = 160

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Math: Angles and degrees

UkoKoshka [18]

m∠MON = 130°

Solution:

Given m∠LON is a straight angle

m∠LOM = 4x + 30°, m∠MON = 8x + 90°

⇒ m∠LON = 180°

⇒ m∠LOM + m∠MON = 180°

⇒ 4x + 30° + 8x + 90° = 180°

Combine like terms together.

⇒ 4x + 8x + 30° + 90° = 180°

⇒ 12x + 120° = 180°

Subtract 120° on both sides of the equation.

⇒ 12x + 120° – 120° = 180° – 120°

⇒ 12x = 60°

Divide by 5 on both sides of the equation.

⇒ x = 5°

Substitute x = 5° in m∠MON.

⇒ m∠MON = 8x + 90°

= 8(5°) + 90°

= 40° + 90°

= 130°

Hence m∠MON = 130°.

3 0

4 years ago

A poster shop will enlarge a photograph into a poster. Given the size of the photograph and the length of the poster, what is th

maw [93]

Answer:

Option A. k = 4.5, 54 cm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem the constant of proportionality is equal to the scale factor

step 1

Find the scale factor

Let

k -----> the constant of proportionality

$k=\frac{72}{16}=4.5$ -----> ratio of the corresponding sides

step 2

Find the value of x

$\frac{72}{16}=\frac{x}{12}\\\\x=4.5(12)\\\\x=54\ cm$

therefore

k = 4.5, 54 cm

4 0

3 years ago

the difference of two numbers is 9. if the larger number is one more than twice the smaller number, find the larger number

Evgen [1.6K]

Answer:

smaller = 8

larger = 17

Step-by-step explanation:

8 0

3 years ago

Tim the tool man wants to build a bookshelf like the one shown here . it has three horizontal lengths , each 3 2 / 3 feet, and t

givi [52]

The best answer in the following choices given c. 16 ¼ ft.

<span>3 lengths times 3 2/3 feet of wood plus 2 lengths times 2 5/8 feet of wood is equal to a total of 16.24 feet or 16 ¼ feet of wood.</span>

<span>Hope this answer will be a good help for you.</span>

8 0

4 years ago

I need help with this please

AnnZ [28]

Hi there! The answer is C.

The area of the square in the middle is the following:
$length \: \times \: width \: = 5 \times 5 = 25$
Hence, the area of the square is 25 cm^2.

The area of one triangle is the following:
$0.5 \times base \: \times \: height \: = 0.5 \times 5 \times 8 = 20$
Hence, the total area of the four triangles is 4 × 20 = 80 cm^2.

Therefore, the total area of the pyramid is 80 + 25 = 105 cm^2. The answer is C.

6 0

4 years ago

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