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Cloud [144]
3 years ago
5

Use the given information to find the lengths of the other two sides of the right triangle if side a is opposite angle A, side b

is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5, a = 8
Mathematics
1 answer:
sveta [45]3 years ago
4 0

SOH CAH TOA tells you

... cos(B) = a/c

... 4/5 = 8/c

... c = 10 . . . . . multiply by 5c/4

By the Pythagorean theorem,

... b = √c² -a²) = √(10² -8²) = √36 = 6

The lengths of the other two sides are: b = 6, c = 10.

_____

You can tell from the value of the cosine that this is a 3-4-5 right triangle. You can tell from the value of "a" that the scale factor is 2. That means the other two sides are 6 and 10.

You might be interested in
2.3 repeating as a fraction​
Marat540 [252]
23/10 = 2 and 3/10




I hope this helped
7 0
3 years ago
Read 2 more answers
Help me please !!! <br><br><br><br> And thank you
Neko [114]

Answer:

804.4

Step-by-step explanation:

the formula for the volume of a cube is the side length cubed,

so:

(9.3)(9.3)(9.3) = 804.357

then round it to 804.4

hope this helped!

4 0
3 years ago
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional
Blizzard [7]

Given :

A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional  $110 per hour for each hour worked over 35 hours per week.

To Find :

A cashier worked 39  hours one week and 37 hours the second week.

Show and explain to the cashier how her salary calculated in this two-week period.

Solution :

Week 1 :

For first 35 hours he will get fixed amount i.e $540.

Now, for next four hours he will get $110 per hour.

So, total salary, T = 540 + (110×(39 - 35)

T = $980

Week 2 :

Total salary, T = 540 + ( 110×( 37 - 35 ))

T = $760

Therefore, salary of two week period is $( 980 + 760 ) = $1740.

3 0
3 years ago
33 1/3% of what number is 12?
Novosadov [1.4K]
33.33% of 36 ≈ 12

It’s actually something like 11.99... but close enough when rounded.

5 0
2 years ago
Which table shows a function that is decreasing over the interval (−2, 0)?
zhenek [66]

Answer : Image 3

Which table shows a function that is decreasing over the interval (−2, 0)?

We look at the interval -2 to 0 on x

In option 1 table , f(x) is 0 then -5 and then becomes 0

It means -2 to -1 , f(x) decreases but from -1 to 0 y values increases

In option 2 table , f(x) is increasing from -15 to -5

In option 3 table, f(x) values goes on decreasing over the interval -2 to 0

So , option 3 table shows a function that is decreasing over the interval (−2, 0)

8 0
3 years ago
Read 2 more answers
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