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3 years ago

College Algebra: Systems of Equations & Inequalities

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

3 0

play the video it will help you

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If there are 52 cards in a standard deck, what is the fractional probability of randomly pulling the Queen of diamonds from the

Free_Kalibri [48]

Answer: 1/52

Step-by-step explanation:

Pulling out a card from a deck out of 52 cards means you have 1/52 chance to pull out the queen of diamonds!

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2 years ago

Read 2 more answers

PLEASE HELP I REALLY NEED HELP

Rainbow [258]

Answer:I believe that your asnwer is c.

Step-by-step explanation:

This is because -4 + 4 = 0 10 - 10 = 0 7-7 = 0

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3 years ago

1. Consider the following word arrangements:

LuckyWell [14K]

SAME QUESTION SOMEONE PLEASE ANSWER

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3 years ago

I need the statement and reasons <br>and whether its a sss sas asa hl

andrew-mc [135]

Answer:

it's sas

Step-by-step explanation:

statement: angle pqr is congruent to angle sqt. reason: they are vertical angles

statement: line pq is congruent to line qt

reason: definition of midpoint

statement: line sq is congruent to line qr

reason: definition of midpoint

hope this helps

3 0

2 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