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3 years ago

15 points if you answer the question

Mathematics

1 answer:

kap26 [50]3 years ago

3 0

The mnemonic SOH CAH TOA helps you remember that

... Sin = Opposite/Hypotenuse

The side opposite angle K is marked with length 5. The hypotenuse KM is marked with length 10. Using the above relationship ...

... sin(∠K) = 5/10 = 1/2

The first choice is appropriate: $\dfrac{1}{2}$

You might be interested in

What is the value of the equation

olga nikolaevna [1]

Solve the equation (d + 12 = 15) for d, and then substitute the value of D into the expression ( -2(d+8) ) and simplify in order to find your answer.

1) Equation. Use algebraic properties to isolate d on one side.

d + 12 = 15
d + 12 - 12 = 15 - 12
d = 3

2) Expression. Substitute 3 into D and simplify.

-2(d - 8)
-2(3 - 8)
-2(-5)
10

Therefore your answer is 10.

5 0

4 years ago

Read 2 more answers

1. Mila spends $71.05 at the craft store.

marshall27 [118]

Answer:

$3.4

Step-by-step explanation:

Total amount spent by Mila equals $71.05

She bought 5 yards of fabric at $12.85 per yard. Hence, the total amount she spent on fabric is 12.85 × 5 = $64.25

It should be noted that since she bought only 2 kinds of things, this mean that Amount spent of fabric + Amount spent on thread = $71.05

Amount spent on thread = $71.05 - Amount spent on fabrics.

Amount spent on thread = $71.05 - $64.25 = $6.8

This is the total amount spent on thread.

But the question asks amount spent on one spool of thread. Since 2 spools would cost $6.8, one spool would cost $6.8 ÷ 2 = $3.4

7 0

3 years ago

What is the slope of the line that has an equation of Y equals X -3

Mariana [72]

Answer:

m = 1

Step-by-step explanation:

y = x -3 and y = mx + b are the same thing

Since you have mx and x as the same thing, then m = 1 (for which slope is m)

Please mark for brainliest!! :D Thanks!!

If you have any questions or need more information, please comment below and I'll respond asap!!

3 0

4 years ago

Read 2 more answers

g A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a rando

Tema [17]

Answer:

We accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Step-by-step explanation:

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

This means that the null hypothesis is:

$H_{0}: \mu = 50$

And the alternate hypothesis is:

$H_{a}: \mu \neq 50$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

50 tested at the null hypothesis:

This means that $\mu = 50$

In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.

This means that $n = 36, X = 50.67, \sigma = 3.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{50.67 - 50}{\frac{3.9}{\sqrt{36}}}$

$z = 1.03$

p-value:

Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03.

z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

2*0.1515 = 0.3030

0.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

5 0

3 years ago

Geometry math question no Guessing and Please show work

sweet [91]

As we know that remote exterior angle can be given by

m<z=m<x+m<y

151-5n=4n-18+n+9

151+18-9=5n+4n+n

160=10n

n=16

m<z=151-5*16

m<z=151-80=71

6 0

3 years ago