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3 years ago

Jayden bought four shirts and three pairs of pants for $200. His

Mathematics

1 answer:

Trava [24]3 years ago

5 0

A pair of pants cost 30 and a shirt cost 40

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Simplify 6^7/6^5 I have no idea math is hard

MrMuchimi

Step-by-step explanation:

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3 years ago

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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

4 years ago

The planning committee voted to increase the customer service budget by 10% from last year. If the budget last year was 56,000,

sveticcg [70]

Answer:

B. $61600

Step-by-step explanation:

Increase the initial value by 10%.

56000 × (1 + 10%)

56000 × (1.1)

= 61600

The budget for the new year is $61600.

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4 years ago

True or False: -10 > -65 Help plz

blondinia [14]

Answer:

True

Step-by-step explanation:

on a number line -10 is further right than -65.

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3 years ago

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N amount of $15,000 is borrowed for 10 years at 8.75% interest, compounded annually. if the loan is paid in full at the end of t

Marrrta [24]

We should determine amount of interest per year.
Multiply the percentage to the former loan.
interest per year = 8.75% × 15,000
interest per year = 0.0875 × 15,000
interest per year = 1,312.5
Amount of interest each year is $1,312.5

Estimate interest for 10 years
interest 10 years = interest per year × 10
interest 10 years = 1,312.5 × 10
interest 10 years = 13,125
Amount of interest for 10 years is $13,125

Calculate how much he pay
total = the loan + the interest
total = 15,000 + 13,125
total = 28,125
The total he must pay is $28,125

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4 years ago