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3 years ago

Geometry what is the answer

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

x ≈ 58.0°

Step-by-step explanation:

Since the triangle is right use the cosine ratio to solve for x

cos x° = $\frac{adjacent}{hypotenuse}$ = $\frac{9}{17}$ , thus

x = $cos^{-1}$ ( $\frac{9}{17}$ ) ≈ 58.0°

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The points(0,2) and (4,-10) lie on the same line and the points (-5,-3) and (2,11) lie on another line. Determine by graphing wh

joja [24]

You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.

If this were homework or a test, you'd get full credit only if you follow the directions given.

If The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or m =-3. Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.

If points (-5,-3) and (2,11) lie on another line, the slope of this line is:

m = 14/7 = 2. Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.

Where do the 2 lines intersect? Set the 2 equations equal to one another and solve for x:

y = -3x + 2 = y = 2x + 7. Then 5x = 5, and x=1.

Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.

That results in the point of intersection (2,9).

Doing this problem by graphing, on a calculator, produces a different result: (-1,5), which matches D.

I'd suggest you find and graph both lines yourself to verify this. If you want, see whether you can find the mistake in my calculations.

3 0

3 years ago

3 folders cost $2.91 which equation would help determine the cost of 2 folders

eimsori [14]

Answer:

The equation that will determine the cost of two folders is; 3x = 2× $2.91

and the cost of the 2 folders is $1.94

Step-by-step explanation:

To solve this problem, we will follow the steps below;

Using proportion;

Let x be the cost of 2 folders

3 folders = $2.91

2 folders = x

Cross-multiply

3x = 2× $2.91

The equation that will determine the cost of two folders is

3x = 2× $2.91

We can go ahead and solve

3x = $5.82

Divide both-side of the equation by 3

$\frac{3x}{3}$ = $\frac{5.82}{3}$

x = $ 1.94

The cost of 2 folders is $1.94

5 0

3 years ago

Read 2 more answers

Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar

xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ $_{e}^2$ → $S_{e} ^{2}$ ), you have to use the following formula: