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Molodets [167]
2 years ago
12

Given right triangle ABC which of the following statements must be true? Check all that apply.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
5 0

Answer:

Option A. <A and <B are complementary angles

Option D. Sin(C)=Cos(90\°-C)

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

Sin(C)=Cos(A)

Cos(C)=Sin(A)

Remember that

A=90\°-C

so

Sin(C)=Cos(90\°-C)

Cos(C)=Sin(90\°-C)

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Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷
tester [92]

Answer:  a) 278382 oz

b) 43 oz

c) 64.1 oz

Step-by-step explanation:

a) 8 T. 1,398 lb. 14 oz. × 6

First we need to change it in 'oz'.

As we know that

1\ ton=32000\ oz\\\\1\ lb=16\ oz

so, it becomes,

8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz

8 T. 1,398 lb. 14 oz. × 6 becomes

278382\times 6\\\\=1670292\ oz

b) 349 lb. 6 oz. ÷ 130

It becomes,

349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz

c) 6 T. 294 lb. ÷ 3,071

First it becomes,

6\times 32000+294\times 16\ oz\\\\=196704\ oz

At last it becomes,

\frac{196704}{3071}\\\\=64.1\ oz

Hence, a) 278382 oz

b) 43 oz

c) 64.1 oz

6 0
2 years ago
Read 2 more answers
Find the range of y=3/2cos4x-1
MrRissso [65]

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1,  y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1,  y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

5 0
2 years ago
A piece of equipment moves 16.8 yards in 12 minutes how many feet does it move per second?
I am Lyosha [343]

convert yards to feet and minutes to seconds

1yard=3ft

16.8yards times 3ft/1yd=50.4ft


1minute=60 seconds

12minutes times 60seconds/1min=720seconds


feet per second=50.4ft/720sec=0.07ft/sec


answer is 0.07ft/sec

6 0
2 years ago
In an anonymous survey 34 students reported the hours they studied for a statistics final exam. The histogram below shows the re
Darina [25.2K]

Answer:

c

Step-by-step explanation:

we have to use a mean to describe the center

4 0
2 years ago
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson h
marissa [1.9K]

Answer: 30 - 4 = 26

Step-by-step explanation:

30 - 2x = 0

so after 2 days he will have done 4 hours so 30 - 4 = 26

8 0
2 years ago
Read 2 more answers
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