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2 years ago

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=37°, and SQ = 56 feet. Find the length of QR to the nearest tenth of a foot

Mathematics

1 answer:

melisa1 [442]2 years ago

6 0

Answer:

70.1 ft

Step-by-step explanation:

The cosine relation gives the ratio of the adjacent side to the hypotenuse for an acute angle in a right triangle:

Cos = Adjacent/Hypotenuse

cos(37°) = SQ/QR

Rearranging gives ...

QR = SQ/cos(37°) = (56 ft)/0.798636 = 70.1 ft

The length of QR is about 70.1 ft.

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Bingel [31]

Answer:

2.32 gallons of paint

Step-by-step explanation:

First, find the area of all 4 sides of the room, with the equation A = lw

11(10)

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18(10)

= 180 (for the other 2 walls)

Add these up:

110 + 110 + 180 + 180

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Then, divide this by 250:

580/250

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Packages of laundry soap are labeled 70 oz, but they are actually filled with mean contents of 70.2 oz and standard deviation 0.

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3 years ago

(-2,9) and (-2,-5)<br> Slope:

Oliga [24]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

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3 years ago

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Describe and sketch the suraface in R3 represented by the equation x+y=2.

Talja [164]

Answer:

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3 years ago

18 2by5-4 1by10 find the difference

luda_lava [24]

Given:

The expression is:

$18\dfrac{2}{5}-4\dfrac{1}{10}$

To find:

The difference.

Solution:

We have,

$18\dfrac{2}{5}-4\dfrac{1}{10}$

It can be rewritten as:

$=\dfrac{90+2}{5}-\dfrac{40+1}{10}$

$=\dfrac{92}{5}-\dfrac{41}{10}$

Taking LCM, we get

$=\dfrac{184-41}{10}$

$=\dfrac{143}{10}$

$=\dfrac{140+3}{10}$

$=14\dfrac{3}{10}$

Therefore, the value of the difference is $14\dfrac{3}{10}$ .

3 0

3 years ago