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Ulleksa [173]
1 year ago
7

A conveyor belt carries supplies from the first floor to the second floor, which is 39 feet higher.

Mathematics
1 answer:
Murljashka [212]1 year ago
8 0

The supplies travelled 45ft and it took 0.6min to get to the next floor.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics dealing with the relationship between the sides of a triangle and the angles.

Analysis:

The supplies distance travelled, distance of first floor from second floor and the ground form a right angled triangle.

so that sin 60 = 39/distance travelled by supplies

distance travelled by supplies = 39/sin 60 = 39/0.866 = 45 feet.

speed = distance / time

time = distance / speed = 45/70 = 0.6 min

In conclusion, the distance and time time taken for the supplies to get to the next floor is 45feet and 0.6 min respectively.

Learn more about trigonometry: brainly.com/question/24349828

#SPJ1

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How to solve 5a + c = -8a
sergey [27]

Solve for a:

5a+c=-8a\ \ \ |-c\\\\5a=-8a-c\ \ \ |+8a\\\\13a=-c\ \ \ |:13\\\\\boxed{a=-\dfrac{c}{13}}

Solve for c:

5a+c=-8a\ \ \ \ |-5a\\\\\boxed{c=-13a}

6 0
3 years ago
If the parent function is \root(3)(x), describe the translation of the function y=\root(3)(x+4)-3
xeze [42]

The parent function moves 4 units right and 3 units down. This is a translation by the vector.

According to the question,

Transformation \sqrt[3]{x} maps  onto \sqrt[3]{x+4} -3 . Take f(x) =  \sqrt[3]{x} and f(x+4)=\sqrt[3]{x+4}.

f(x) =  \sqrt[3]{x}

f(x+4)=\sqrt[3]{x+4}

f(x+4) - 3=\sqrt[3]{x+4} - 3

Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.

Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.

Learn more about parent function here

brainly.com/question/7154028

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7 0
2 years ago
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i
Murljashka [212]

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

138 - n = 2n + 3           <em>subtract 138 from both sides</em>

-n = 2n - 135               <em>subtract 2n from both sides</em>

-3n = -135            <em>divide both sides by (-3)</em>

n = 45

n + 1 = 46

n + 2 = 47

6 0
3 years ago
What is 60,978 in expanded form
lana66690 [7]

Expanded Notation Form: 60,978= 60,000 +0 +900 +70 +8 

Expanded Factors Form:  60,978= 6 × 10,000 +0 × 1,000 +9 × 100 +7 × 10 +8 × 1 

Expanded Exponential Form: 60,978 = 6 × 104+0 × 103+9 × 102+7 × 101+8 × 100

Word Form:60,978 =sixty thousand nine hundred seventy-eight

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2 years ago
WdkNEIOEWHDEIWDHWWD/
KiRa [710]

Answer:

ok brainliest pls

Step-by-step explanation:

4 0
2 years ago
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