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3 years ago

Original Slope __ Perpendicular Slope

Mathematics

1 answer:

ololo11 [35]3 years ago

5 0

Answer:

-1/2, 2

Step-by-step explanation:

Use rise/run to find the original slope of this function. The rise is -1 and the run is 2, so you divide these and get -1/2. To find the perpendicular slope, flip the sign (from negative to positive) and find the reciprocal of this (1/2 becomes 2 because you flip the fraction).

Original slope: -1/2

Perpendicular slope: 2

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Analyze the diagram below and complete the instructions that follow.

bija089 [108]

Given:

ABC is a right triangle.

Opposite of C = AB = 6

Adjacent of C = BC = 8

Hypotenuse = AC = 10

To find:

The value of sin C.

Solution:

Using basic trigonometric ratio formula:

$$\sin \theta = \frac{\text{Opposite of }\theta}{\text{Hypotenuse}}$

$$\sin C = \frac{\text{Opposite of C}}{\text{Hypotenuse}}$

$$\sin C = \frac{AB}{AC}$

$$\sin C = \frac{6}{10}$

Cancel the common factors.

$$\sin C = \frac{3}{5}$

The value of sin C is $\frac{3}{5}$ .

7 0

3 years ago

I need help pls its not that hard!!

stiv31 [10]

Answer:

they need to plug in 2 for y instead or just subtracting it?

6 0

3 years ago

PLSSSSSSSSSSSSSSSS HELP Determine the quotient of 2 over 5 divided by 3 over

muminat

Answer:

Step-by-step explanation:

$\frac{2}{5}$ ÷ $\frac{3}{4}$ = $\frac{2}{5}$ × $\frac{4}{3}$ = $\frac{8}{15}$

6 0

3 years ago

What's the height of a triangle if we know the base is 20 m and the area is 100 m squad

blsea [12.9K]

Answer:

10 m

Step-by-step explanation:

$bh/2$

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3 0

3 years ago

Read 2 more answers

Last year, 50% of MNM, Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

anygoal [31]

Answer:

We conclude that there has been a decrease in the percentage of females in the company from last year.

Step-by-step explanation:

We are given that Last year, 50% of MNM, Inc. employees were female. It is believed that there has been a reduction in the percentage of females in the company.

This year, in a random sample of 400 employees, 180 were female.

Let p = percentage of females in the company this year.

So, Null Hypothesis, $H_0$ : p $\geq$ 50% {means that there has not been a decrease in the percentage of females in the company from last year}

Alternate Hypothesis, $H_A$ : p < 50% {means that there has been a decrease in the percentage of females in the company from last year}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = proportion of female in a sample of 400 employees = $\frac{180}{400}$ = 0.45

n = sample of employees = 400

So, test statistics = $\frac{0.45-0.50}{{\sqrt{\frac{0.45(1-0.45)}{400} } } } }$

= -2.0101

The value of the test statistics is -2.0101.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.0101 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there has been a decrease in the percentage of females in the company from last year.

4 0

3 years ago

Original Slope ______ Perpendicular Slope____

Original Slope __ Perpendicular Slope