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evablogger [386]
3 years ago
9

Jacob and issac decided to run to the basketball court after school the basketball court is 5 1/4 Miles from school the boys run

at a pace 3 3/8 miles per hour

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer: 1\dfrac{5}{9}\text{ minutes}

Step-by-step explanation:

Complete question is provided in the attachment below.

Given: Jacob and Issac decided to run to the basketball court

Distance between basketball court and school = 5\dfrac{1}{4} miles

=\dfrac{21}{4} miles

Speed = 3\dfrac{3}{8} miles per hour

=\dfrac{27}{8} miles per hour

Since, time = (distance) ÷ ( speed)

Now, the time taken by boys to arrive at the basketball court = \dfrac{21}{4}\div\dfrac{27}{8} hours

=\dfrac{21}{4}\times\dfrac{8}{27}\\\\=\dfrac{7\times2}{9}=\dfrac{14}{9}\\\\=1\dfrac{5}{9}\text{ minutes}

Hence, the required length of time = 1\dfrac{5}{9}\text{ minutes}

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Multiply each equation by a constant that would help to eliminate the y terms.
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Answer:

Therefore the required resulting equation is

6x-15y=-63\\-15x+15y=90

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

Step-by-step explanation:

Given:

2x-5y=-21         ......................Equation ( 1 )

3x-3y=-18         ......................Equation ( 2 )

To Find:

Expression after multiplying to eliminate y term,

Solution:

So to eliminate 'y' term we need to multiply equation 1 by a constant 3 and equation 2 by a constant -5,  such that equations  becomes

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so now by adding new equation one and two we can eliminate y term that means -15y and +15y will get cancel,

Therefore the required resulting equation is

6x-15y=-63\\-15x+15y=90

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

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3 years ago
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The sum of 2 numbers is 20 and their difference is 6. What are the two numbers
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bc i said

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<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%2B%2036x%20%2B%20324%20%3D%20%28x%20%2B%20m%29%5E%7B2%7D%20" id="TexFormula1
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The following cone has a height of 12 cm and a slant height of 13 cm. A right angle is formed between the height and radius of t
Pachacha [2.7K]

Length of the radius of the cone is equals to 5 cm.

<h3>What is right circular cone?</h3>

" A right circular cone is the 3 dimensional solid shape, which has an axis that is perpendicular to its circular base."

Formula used

Pythagoras theorem

(Hypotenuse)² = (adjacent side)² + (opposite side)²

According to the question,

Slant height 'l' of the cone = 13cm

height 'h'  of the cone = 12cm

Let 'r' be the radius of the base of the cone.

As per the diagram,

InΔABC,

Apply Pythagoras theorem, we get

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Substitute the values of 'l' and 'h' in the formula we get,

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