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yan [13]
3 years ago
13

Help please (will give brainliest)

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0
Step 1, all the exponents are multiplied by 2
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A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.
fenix001 [56]

The grade is the ratio of rise to run, i.e. the slope aka the tangent.

\tan \theta = \dfrac{1}{10}

\theta = \arctan 0.1 \approx 5.711^\circ

Answer: (a) 6 degrees

For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10.    The height h or rise is the side opposite the small angle.

\sin\theta = \dfrac h c

h = c \sin \theta

We could just take the sine of the angle we got but let's get it from the tangent exactly.

\cos^2 \theta + \sin ^2 \theta = 1

Dividing by squared cosine

1 + \tan ^2 \theta = 1/\cos^2 \theta = 1/(1- \sin^2 \theta)

(1- \sin^2 \theta) = 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + (1/10)^2) = 1-1/(101/100) = 1/101

h = c \sin \theta = 2 \sqrt{1/101} \approx 0.199

Answer: (b) Rise of 0.199 km

6 0
3 years ago
What is equivalebt to 6/12
Savatey [412]
3/6
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4 0
3 years ago
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1) Jan is buying new flooring for her kitchen. The kitchen is a rectangle that is 3
Temka [501]

Answer:

6 meters of Flooring.

Step-by-step explanation:

I could be wrong but I’m pretty sure this question is Length x Width to find the Area of the “Room” or “Triangle.”. <3

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Which statements are true regarding undefinable terms in geometry?All that apply.
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Vsevolod [243]

Answer:

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Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

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The slope intercept form of the equation for a line is

y= mx+b

y =2/3 x +b

We know the y intercept is 2  (the y intercept is when x=0)

y = 2/3x +2

7 0
3 years ago
Read 2 more answers
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