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2 years ago

In ΔHIJ, i = 99 inches, j = 99 inches and ∠H=9°. Find the length of h, to the nearest inch.

Mathematics

1 answer:

sdas [7]2 years ago

6 0

Answer:

Step-by-step explanation:

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10) Find the measure of angle D. Hint: you must do two math problems to solve

NISA [10]

Answer:

Option A.) 43°

Step-by-step explanation:

Part 10)

step 1

Find the length of side EG

see the attached figure to better understand the problem

we know that

In the right triangle EGF

$cos(65^o)=\frac{EG}{EF}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(65^o)=\frac{EG}{11}$

solve for EG

$EG=(11)cos(65^o)\\EG=4.65\ cm$

step 2

Find the measure of angle D

In the right triangle DEG

$tan(D)=\frac{EG}{DG}$ ----> by TOA (opposite side divided by adjacent side)

substitute the given values

$tan(D)=\frac{4.65}{5}\\\\D=tan^{-1}(\frac{4.65}{5})=43^o$

3 0

3 years ago

What is the measure of the radius of the cone in the diagram below?

kondor19780726 [428]

Answer:

Option (2)

Step-by-step explanation:

Radius of the circular base of the cone = $\frac{1}{2}(\text{Diameter of the circular base})$

Given in the picture,

Diameter of the circular base = 8 cm

Height of the cone = 6 cm

Therefore, radius of the cone = $\frac{8}{2}$

= 4 cm

Option (2) will be the correct option.

6 0

3 years ago

Carla earns an 8% commission as a salesperson. She's an old dish washer that cost $400. How much commission did Carla earn?

Galina-37 [17]

Answer:

Carla earned $32 in commission.

Step-by-step explanation:

Multiply 400 by .08 (or 8/100) to get your answer.

3 0

3 years ago

What is the value of x?

Alenkinab [10]

Answer:

X=5

Step-by-step explanation:

Add all up all the xs you see and the numbers near it and then it will be x and that number added up all together

4 0

3 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary),

Korolek [52]

Approximately 3.6.

Hope this helps

6 0

3 years ago