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3 years ago

Find the length of the third side. If necessary, write in simplest radical form. (15 POINTS!!)

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

Step-by-step explanation:

perpendicular (p) = 4

hypotenuse (h) = 2√5

base (b) = ?

We know by using Pythagoras theorem

b = √(h² - p²)

= √ (2√5)² - 4²

= √ 16

= 4

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Given: m space measured angle space C space equals space 76, a = 20, and b = 13. What is the length of c to the nearest tenth?

Komok [63]

Based on the given parameters, the length of c is 8.0 units

<h3>How to determine the side length of c?</h3>

The given parameters are

Angle c = 76 degrees

Side a = 20

Side b = 13

The length of c is then calculated using the following law of sines

c^2 = a^2 + b^2 - 2absin(C)

Substitute the known values in the above equation

So, we have

c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)

Express 20^2 as 400

c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)

Express 13^2 as 169

c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)

Evaluate the product and sin(76)

c^2 = 400 + 169 - 520 * 0.9703

Evaluate the product

c^2 = 400 + 169 - 504.55

Evaluate the exponents

c^2 = 400 + 169 - 504.55

So, we have

c^2 = 64.45

Evaluate the square root

c = 8.0

Hence, the length of c is 8.0 units

Read more about law of sines at:

brainly.com/question/16955971

#SPJ1

5 0

2 years ago

for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep

Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

$T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000$

1,404,000 different plates possible.

4 0

3 years ago

A ball is thrown from a height of 32 meters with an initial downward velocity of 2/ms. The ball's height h (in meters) after t s

Bumek [7]

0=65-10t-5t^2

now what you want to do is multiply a and c

-5(t^2+2t-13)

Now just find the zeros

6 0

3 years ago

Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?

Akimi4 [234]

Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

7 0

3 years ago

Read 2 more answers

the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side

VARVARA [1.3K]

Answer:

Step-by-step explanation:

A 30-60-90 triangle's sides equal as follows:

Hypotanuse= x (a number)

Long side= x/2( also can be calculated as x* 1/2) * $\sqrt{3}$

Short side = x/2 or x * 1/2

5 0

3 years ago