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2 years ago

(5 4 – 2) × (–2) = ? a. 22 b. –14 c. 14 d. –22

Mathematics

1 answer:

tamaranim1 [39]2 years ago

6 0

The correct answer is b. -14
:)

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Joshua's cousin pledged $12 for a Charity Walk. if joshua walk 3 miles how much did his cousin pay per mile

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2 years ago

Imagine that city officials in your hometown expect a huge rise in population over the next few years. Which of the following pe

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C an urban planner

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3 years ago

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Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can

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Answer:

x ≤ 15

Step-by-step explanation:

25x + 225 ≤ 600

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3 years ago

The image of the point (4,-2) under a rotation 180 degrees about the origin is: A. (−4,−2) B. (−4,2) C. (−2,−4) D. (−2,4)

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2 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

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Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago