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alexira [117]
3 years ago
7

A conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. The belt makes a 60Á angle w

ith the ground. How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot. If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor?
A. 45 ft; 37 min

B. 37 ft; 22.5 min

C. 30 ft; 0.4 min

D. 15 ft; 1.1 min Reset Selection
Mathematics
2 answers:
Andrei [34K]3 years ago
7 0
The answer is <span>C. 30 ft; 0.4 min 
</span>proof
D= H/sin(60)=  26/0.86=30.02 feet
for D =30ft
V75ft/mn
so t= D/V= 30/75=0.4mn

C. 30 ft; 0.4 min 
Travka [436]3 years ago
6 0

the answer is C. 30 ft; 0.4 min  

proof

D= H/sin(60)=  26/0.86=30.02 feet

for D =30ft

V75ft/mn

so t= D/V= 30/75=0.4mn

C. 30 ft; 0.4 min

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ANSWER

Quotient:

q(x) = 4 {x}^{2} + 3x + 2

Remainder:

r(x) = 3x + 1

EXPLANATION

The given functions are

f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9

and

g(x) = 3 {x}^{2} + 3x + 4

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

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The remainder is

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The answer is a = \frac{4}{-3}

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2\frac{2}{3} will be \frac{8}{3}

<em>2. Now the equation is,</em>

\frac{3}{2} a - \frac{4}{3} a = \frac{10}{3} + \frac{8}{3} a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by \frac{3}{3} and multiply the second fraction by \frac{2}{2}

\frac{3*3}{2*3} a - \frac{4*3}{3*3} a = \frac{10+8a}{3}

<em>4. Solve by making a the subject</em>

\frac{9a-8a}{6} = \frac{10+8a}{3}

\frac{a}{6} = \frac{10+8a}{3}

\frac{3a}{6} =10+8a

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a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

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a = \frac{20}{-15}

a = \frac{4}{-3}

Therefore, the answer is a = \frac{4}{-3}

Keyword: Equations

Learn more about equations at

  • brainly.com/question/10666510
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#LearnwithBrainly

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zaharov [31]

Answer:

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Step-by-step explanation:

We can use similar triangles and proportions to solve this problem.

Put the smaller triangle on top and the larger triangle on bottom

12         9

------ = -------

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Solve by using cross products

12 t = 9*16

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Divide by 12

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