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2 years ago

HELP QUICK! which graph represents the solution set for the inequality PICTURE INCLUDED

Mathematics

1 answer:

grandymaker [24]2 years ago

5 0

The answer is C because it equals 9

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Michael is looking up at an object. Michael points one arm at the object and

iragen [17]

Answer:

42.6 ft

Step-by-step explanation:

APEX

8 0

3 years ago

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

Pls help picture provided

dusya [7]

U need to divide 100 by the number of what’s given

6 0

2 years ago

Yall help im drowning in work. 19 = 4a − 12

miss Akunina [59]

Answer:

a=7.75

Step-by-step explanation:

19 = 4a − 12. 19+12=31. 31/4=7.75

3 0

2 years ago

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Anne has a broken ruler. It starts at the 3-inch mark and ends at the 12-inch mark. Explain how Anne could use the ruler to meas

Alexandra [31]

She would start at the 3 inch mark and count from there.

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3 years ago