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Ahat [919]
3 years ago
7

Find the Value of x in each proportion

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

A) 49.4

B) 40

C) 0.00539

D)583.33

Step-by-step explanation:

A)

1 meter/3.25 feet = 15.2 meters/x feet

x feet * 1 meter =  15.2 meters* 3.25 feet

x = 15.2 meters* 3.25 feet/1 feet* meter

x = 49.4

B) 1.6 kilometers/1 mile = x kilometers/25 miles

multiplying both sides by 25 miles

(1.6 kilometers/1 mile )* 25 miles =( x kilometers/25 miles)  * 25 miles

=> 40 kilometers = x kilometers

x = 40

C) 0.926 meter/1 yard = 200 meters/x yards

dividing both sides 200 meters

0.926 meter/(1 yard*200 meters) = 200 meters/(x yards *200 meters)

185.2 /1 yard = 1/ x yards

x yards = 1 yards/185.2

=> x = 0.00539

D) 1 kilometers/0.6 mile = x kilometers/350 miles​

multiplying both sides by 350 miles

(1 kilometers/0.6 mile ) 350 miles= (x kilometers/350 miles​) 350 miles

=> 583.33 kilometers = x kilometers

x = 583.33

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hoa [83]

Answer:

A=22.5\ \text{feet}^2

Step-by-step explanation:

We have,

Height of a cone is 12 feet

Volume of the cone is 90 feet

It is required to find the area of the base of the cone.

The base of a cone is circular in shape.

The formula used to find the volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h

here, \pi r^2=A (area of base of cone)

V=\dfrac{1}{3}\times Ah\\\\A=\dfrac{3V}{h}\\\\A=\dfrac{3\times 90}{12}\\\\A=22.5\ \text{feet}^2

So, the area of the base of the cone is 22.5\ \text{feet}^2.

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3 years ago
Please help 6TH GRADE MATH HELP ME OUT PLEASE
wel

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▹ Answer

<em>d. 7/20</em>

▹ Step-by-Step Explanation

\frac{1}{4} + \frac{1}{10} \\= Common denominator is 20\\\\\frac{1}{4} = \frac{5}{20} \\\\\frac{1}{10} = \frac{2}{20}  \\\\\frac{5}{20} + \frac{2}{20} \\\\= \frac{7}{20}

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7 0
4 years ago
Read 2 more answers
I need help with this please
hoa [83]

Answer:

z = 113

y = 31

Step-by-step explanation:

j || n and line a is their transversal. (given)

Therefore,

z° = 180° - 67° (exterior angles on the same side of transversal)

z°= 113°

z = 113

(5y - 88)° = 67° (exterior alternate angles)

5y - 88 = 67

5y = 67 + 88

5y = 155

y = 155/5

y = 31

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3 years ago
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valina [46]

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

 

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

 

We know that the formula for calculating distance is:

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therefore,

vA tA = vB tB

 

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

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10 tB = 8

tB = 0.8 hours = 48 min

 

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

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