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Fittoniya [83]
3 years ago
6

ULT ma 4. Write an expression, then evaluate. a. 1/4of the sum of 18 and 6

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Answer: Required expression: \dfrac14\times(18+16)

Result: \dfrac{17}{2}

Step-by-step explanation:

Given phrase:  " \dfrac14\text{ of the sum of } 18\text{ and }6. "

Required expression: \dfrac14\times(18+16)    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

\dfrac14\times(18+16)=\dfrac14\times34  \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}

Hence,     \dfrac14\times(18+16)=\dfrac{17}{2}.  

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1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in
olga_2 [115]

<u>Given:</u>

It is given that the ridge is 360 inches tall.

<u>Assumptions:</u>

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is 360+67 = 427 inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

<u>To find the distance from you to your dog.</u>

<u>Solution:</u>

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

cos \theta = \frac{adjacent side}{hypotenuse} .

cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.

x=\frac{427}{0.5} = 854.

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0
3 years ago
-5(4+2x)-14x simplify the expression
siniylev [52]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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Step-by-step explanation:

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5 0
3 years ago
Marcie jogs each morning. The relationship between the total number of miles she jogged this week, m, to the total number of mil
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Answer: Marcie jogged twice as many miles this week as she jogged last week

Step-by-step explanation:

5 0
2 years ago
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PSYCHO15rus [73]

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The volume of a cone is 1/3 of a cylinder with the same measurements.

If the cylinder is 175π then the cone is 175/3 π.-

8 0
2 years ago
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