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AnnyKZ [126]
2 years ago
14

HELP DUE TODAY!

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
3 0

Answer:

25

Step-by-step explanation:

2 + 2+ 2 + 2 = 8

3 + 3 + 3 = 9

4 + 4 = 8

8

8

9

____+

25

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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
A bus service drives passengers between San Diego and Los Angeles every day. They make 8 roundtrips a day. The distance between
yawa3891 [41]

Answer

Yes

Step-by-step explanation:

(8 roundtrips)(89 miles)(28 days) = 19,936

3 0
3 years ago
Someone explain it please
Alina [70]

9514 1404 393

Answer:

  ∠A = 44°

Step-by-step explanation:

In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.

Happily, that relation is "the sum of angles in a triangle is 180°." This means ...

  84° +(x +59)° +(x +51)° = 180°

  (2x + 194)° = 180° . . . collect terms

  2x = -14 . . . . . . . . . . divide by °, and subtract 194

  x = -7 . . . . . . . . . . . .divide by 2

Now, the measure of angle A is ...

  ∠A = (x +51)° = (-7 +51)°

  ∠A = 44°

4 0
3 years ago
9 + 5m = 5m - 1<br><br> Please help! Thanks :))
vfiekz [6]

Answer:

No solution

Step-by-step explanation:

In pic

<u><em>(Credits: Symbolab) </em></u>

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(Hope this helps can I pls have brainlist (crown)☺️)

3 0
2 years ago
Read 2 more answers
How many rectangular arrays can Pablo make with all 36 tiles so none of the arrays show the same factor
anastassius [24]
He can make 12 or 9 because 9x4=36 and 12x3=36
5 0
3 years ago
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