MATHEMATICS MIDDLE SCHOOL

Find the exact length of the third side

Answers

Answer 1

Answer:

Answer: 3 times the square root of 5! (Or the square root of 45 if you don’t want to simplify)

Step-by-step explanation:

First, you would need to use the Pythagorean Theorum, a^2 + b^2 = c^2, since it is a right triangle.

So in this case,

6^2 + 3^2 = c^2

This simplfys to:

36 + 9 = c^2

45 = c^2

Now you have to take out the square in the c. What you do to one side, you have to do to the other, so you have to put 45 in a square root. This simplies to 3 times the square root of 5.

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Which of the following is most likely the next step in the series?

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The answer is D (i think lol) <3

The next step in the series is A

The length of a rectangle is (2x+5) units and the breadth is (3x-1) units .Find the perimeter and the area of the rectangle.

Answers

Answer:

Perimeter = 10x + 8 units.

Area = 6x^2 + 13x - 5 units^2.

Step-by-step explanation:

The perimeter is 2*length + 2*breadth

= 2(2x + 5) + 2(3x - 1)

= 4x + 10 + 6x - 2

= 10x + 8 units.

The area = length * breadth

= (2x + 5)(3x - 1)

= 6x^2 - 2x + 15x - 5

= 6x^2 + 13x - 5 units^2.

Why is 21/30 greater than 2/3

Answers

Because 2/3 equals 20/30 and 21/30 is greater than that

3x10=30
2x10=20, so 21 over 30 is a little bigger

1. What is the length of the segment joining the points at (-1,6) and (-5,3) 2. What is the length of the segment joining the points at (-4, 1) and (3,7)

Answers

QUESTION 1

We want to find the length of the segment joining the points at (-1,6) and (-5,3).

We use the distance formula which is given by the formula,

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

$d=√(( - 5 - - 1)^2+(3 - 6))^2)$

$d=√(( - 5 + 1)^2+(3 - 6)^2)$

$d=√(( - 4)^2+( - 3)^2)$

$d=√(16+9)$

$d=√(25)$

$d = 5 \: units$

QUESTION 2

We want to find the length of the segment joining at (-4,1) and (3,7).

We use the distance formula to get,

$d = \sqrt{(3 - - 4)^(2) + {(7 - 1)}^(2) }$

$d = \sqrt{(3 + 4)^(2) + {(7 - 1)}^(2) }$

$d = \sqrt{7^(2) + {6}^(2) }$

$d = √(49+ 36 ) .$

$d = √(85 ) \: units$

A cylinder has a radius of 12m and a height of 8m. What is the approximate surface area of the cylinder? use 3.14 for Pi.

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Surface Area = 2 × π × r × (r+h). So 2 × π × 12 × (12+8). Then 2 × π × 12 × 20. And then 480 π. And your answer is about 1507.

Simple, A=2πrh+2πr²=2*π*12*8+2*π*12²=1507.96447m². If you want to round your answer, it would be 1507.96m²

It is recommended that an adult drink 64 fluid ounces of water every day. Josey has already consumed 700 milliliters of water. How manymore liters should he drink today?

Answers

Answer: 1.19271 liters

Step-by-step explanation:

Given: The recommended amount of fluid to adult =64 fluid ounces

We know that 1 fluid ounce = 0.0295735 liters

Then, $64\text{ fluid ounces }=64*0.0295735\n\Rightarrow 64\text{ fluid ounces }=1.89271\ l$

Since, Josey has already consumed 700 milliliters of water.

We know that 1 liter = 1000 ml

1 ml= $(1)/(1000)$ l

Thus, 700 ml =0.7 liters

The required amount of liquid he need to drink more = $1.89271-0.7=1.19271$ ml

1.19271 liters. The reason for this is 64 fluid ounces is 1.89271 liters and 700 milliliters is equal to 0.7 liters. Take 1.89271 and subtract 0.7 liters and you will get your answer.

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