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3 years ago

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Which expression is equal to 3√54−4√24 ? −11√6 -√6 √6 11√6

1 answer:

sladkih [1.3K]3 years ago

6 0

I hope this helps you

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ANTONII [103]

Right triangles are triangles that have the measure of one angle to be 90 degrees

<h3>How to calculate the missing parts</h3>

<u>a. A = 40°10'13", hypotenuse = 402.36 ft</u>

Convert the angle to degrees

$A=40.17^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(40.17) = \frac{Opposite}{402.36}$

Cross multiply

$Opposite = 402.36 * \sin(40.17)$

$Opposite = 259.55$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(40.17) = \frac{Adjacent}{402.36}$

Cross multiply

$Adjacent = 402.36 * \cos(40.17)$

$Adjacent = 307.46$

Hence, the missing parts are:

Adjacent = 307.46 and Opposite = 259.55

<u>b. A = 62°09'15", hypotenuse = 338.74 m</u>

Convert the angle to degrees

$A=62.15^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(62.15) = \frac{Opposite}{338.74}$

Cross multiply

$Opposite = \sin(62.15) *338.74$

$Opposite = 299.50$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(62.15) = \frac{Adjacent}{338.74}$

Cross multiply

$Adjacent = \cos(62.15) * 338.74$

$Adjacent = 158.25$

Hence, the missing parts are:

Adjacent = 158.25 and Opposite = 299.50

<u>c. A = 36°22'10", adjacent side = 360.41 ft</u>

Convert the angle to degrees

$A=36.37^o$

Start by calculating the hypotenuse using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(36.37) = \frac{360.41}{Hypotenuse}$

Make Hypotenuse the subject

$Hypotenuse = \frac{360.41}{\cos(36.37)}$

$Hypotenuse = 447.60$

The opposite side is then calculated using the following cosine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(36.37) = \frac{Opposite}{447.60}$

Cross multiply

$Opposite = 447.60 * \sin(36.37)$

$Opposite = 265.43$

Hence, the missing parts are:

Hypotenuse = 447.60 and Opposite = 265.43

d. Hypotenuse = 428.29 m, opposite side =397.06 m

The adjacent is calculated as:

$Adjacent = \sqrt{Hypotenuse^2 - Opposite^2$

So, we have:

$Adjacent = \sqrt{428.29^2 - 397.06^2$

$Adjacent = 160.55$

Hence, the missing part is:

Adjacent = 160.55

<u>e. Hypotenuse = 409.31 ft, adjacent side = 274.82 ft</u>

The opposite is calculated as:

$Opposite= \sqrt{Hypotenuse^2 - Adjacent ^2$

So, we have:

$Opposite= \sqrt{409.31^2 - 274.82^2$

$Opposite= 303.33$

Hence, the missing part is:

Opposite= 303.33

<u>f. Opposite side = 375.82 m, adjacent side= 276.05 m</u>

The hypotenuse is calculated as:

$Hypotenuse= \sqrt{Opposite^2 + Adjacent ^2$

So, we have:

$Hypotenuse= \sqrt{375.82^2 + 276.05^2$

$Hypotenuse= 466.31$

Hence, the missing part is:

Hypotenuse= 466.31

Read more about right triangles at:

brainly.com/question/2437195

5 0

3 years ago

BRAINIEST ANSWER! PLEASE! ABOUT AREA AND PERIMETER!

Anna11 [10]

each little square = 1 square inch

the design takes up 21 squares so area is 21 square inches

the perimeter = 6 +2+3+3+3+5 = 22 inches

7 0

3 years ago

Plz help I put 25 ponts

iren2701 [21]

Answer:

what do you need there's no image or question

5 0

3 years ago

X squared = 9\2 y. FIND THE 2 POINTS THAT DEFINE THE LATUS PARABOLA

Sergeu [11.5K]

(vertice is (0,0) and your focal is 9/8

6 0

3 years ago

Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.

Valentin [98]

Julio is x years old and his father is y years old:
y = 4 x
x + y ≥ 55
x + 4 x ≥ 55
An inequality is:
5 x ≥ 55
x ≥ 55 : 5
x ≥ 11
The youngest age Julio can be is 11.

4 0

3 years ago

Read 2 more answers