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lora16 [44]
2 years ago
7

Solve for a side triangles please help it’s urgent please answer

Mathematics
1 answer:
rodikova [14]2 years ago
7 0

Answer:

AC ≈ 2.87

Step-by-step explanation:

Using the sine ratio in the right triangle

sin35° = \frac{opposite}{hypotenuse} = \frac{AC}{AB} = \frac{AC}{5}

Multiply both sides by 5

5 × sin35° = AC , thus

AC ≈ 2.87 ( to the nearest hundredth )

You might be interested in
Whats the square of a negative number?
Doss [256]

Answer:

A negative number squared is a positive number. Squaring is multiplying a number by its self.

Step-by-step explanation:

X^2 = x * x

Squaring something is just multiplying it by its self.

A negative times a negative = a positive

A positive times a positive = a positive

A negative times a positive = a negative

A positive times a negative = a negative

- * - = +

+ * + = +

- * + = -

+ * - = -

Here is how my 6th grade teacher helped me to remember it:

If something bad (-) happens to a bad guy (-), that is good.

If something good (+) happens to a good guy (+), that is good.

If something bad (-) happens to a good guy (+), that is bad.

If something good (+) happens to a bad guy (-), that is bad.

I hope I helped!

Let me know if you need anything else!

~ Zoe

3 0
3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
vitfil [10]

Answer:

a) The minimum head breadth that will fit the clientele = 4.105 inches to 3d.p = 4.1 inches to 1 d.p

b) The maximum head breadth that will fit the clientele = 8.905 inches to 3 d.p = 8.9 inches to 1 d.p

Step-by-step explanation:

This is normal distribution problem.

A normal distribution has all the data points symmetrically distributed around the mean in a bell shape.

For this question, mean = xbar = 6.1 inches

Standard deviation = σ = 1 inch

And we want to find the lowermost 2.3% and uppermost 2.3% of the data distribution.

The minimum head breadth that will fit the clientele has a z-score with probability of 2.3% = 0.023

Let that z-score be z'

That is, P(z ≤ z') = 0.023

Using the table to obtain the value of z'

z' = - 1.995

P(z ≤ - 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z' = (x - xbar)/σ

- 1.995 = (x - 6.1)/1

x = -1.995 + 6.1 = 4.105 inches

The maximum head breadth that will fit the clientele has a z-score with probability of 2.3% also = 0.023

Let that z-score be z''

That is, P(z ≥ z'') = 0.023

Using the table to obtain the value of z''

P(z ≥ z") = P(z ≤ -z")

- z'' = - 1.995

z" = 1.995

P(z ≥ 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z'' = (x - xbar)/σ

1.995 = (x - 6.1)/1

x = 1.995 + 6.1 = 8.905 inches

6 0
3 years ago
2. Which of the following is an equation? <br> A. y/9 - 3<br> B. 9 - 2<br> C. y/9 = 3<br> D. 7 + y
andrew11 [14]
An equation is something with a = sign btw and it’s C because it’s the only one with the = sign
7 0
2 years ago
The room shown below right is 14 ft by 10 ft. Find the dimensions of each piece of furniture to the nearest tenth . 16))
DENIUS [597]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the image file of the question:

The dresser dimension is:

L= 6.0 \ feet\\\\ W= 3.0 \ feet

The bed dimension is:

L = 7.1\  feet\\\\W = 5.7\  feet

 The table dimension is:

L = 2.8 \ feet\\\\W= 2.8 \ feet

6 0
3 years ago
Simplify the given expression below: 4 divided by the quantity of 3 minus 2i
svetoff [14.1K]
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.

To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.

The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:

4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13

This is the answer you are looking for. I hope this helps :)
3 0
2 years ago
Read 2 more answers
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