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3 years ago

What is the value of x? sin 49° = COS X Enter your answer in the box. X =

Mathematics

1 answer:

Vitek1552 [10]3 years ago

3 0

Answer:

x = 41°

Step-by-step explanation:

Using the cofunction identity

sinx = cos(90 - x) , then

sin49° = cos(90 - 49)° = cos49°

with x = 41°

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The measure of angle A is 15°, and the length of side

dangina [55]

Answer:

Part 1) $AB=30.9\ units$

Part 2) $AC=29.9\ units$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(15^o)=\frac{8}{AB}$

solve for AB

$AB=\frac{8}{sin(15^o)}=30.9\ units$

Part 2

Find the length side AC

we know that

$tan(A)=\frac{BC}{AC}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(15^o)=\frac{8}{AC}$

solve for AC

$AC=\frac{8}{tan(15^o)}=29.9\ units$

8 0

3 years ago

The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is

Alborosie

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

$P(A\cap B)=P(A)\cdot P(B)$

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., $P(A\cap B)$ , therefore $P(A\cap B)=P(A)\cdot P(B)$ .

Hence, the correct option is A.

5 0

3 years ago

Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo con

ch4aika [34]

Answer:

8 Shampoo Concentrate

Step-by-step explanation:

There's a ratio of 9:2 so for every 9 cups of water there's two cups of shampoo concrete.

We'll need 9 multiplied by 4 is 36

so we need to multiply 2 with 4

4 multiplied by 2 is 8

7 0

3 years ago

Read 2 more answers

Why is doing long division so complicated?

tankabanditka [31]

Simply put, its a LONGER way to do division. You take a longer time on showing the work.

6 0

3 years ago

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Part B

Georgia [21]

Answer:140

Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer

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3 years ago