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3 years ago

6/7 x 56 in multiplied and in its simpliest form

Mathematics

2 answers:

Llana [10]3 years ago

7 0

6/7 x 56
you can simplify that to 6/1 x 8
which equals to 48

vazorg [7]3 years ago

6 0

So, 6/7*56/1
56*6/7
336/7
the answer is 48

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You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre

natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

$ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$Z(0, 5) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}$

$AB = \sqrt{(15)^2 + (0)^2}$

$AB = \sqrt{225 + 0} = \sqrt{225}$

$AB = 15$

Distance between X(15, 20) and Y(15, 5):

$XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$X(15, 20) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}$

$XY = \sqrt{(0)^2 + (-15)^2}$

$XY = \sqrt{0 + 225} = \sqrt{225}$

$XY = 15$

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0

3 years ago

Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below. Joaquin's scores: 7

alekssr [168]

Answer:

Step-by-step explanation:

Given

Joaquin's score is $75,72,85,62,58,91$

and Trisha's score is $92,90,55,76,91,74$

Arranging score in order of value we get

Joaquin's : $58,62,72,75,85,91$

Trisha's : $55,74,76,90,91,92$

as no of values is even therefore their median is

Joaquin's $=\frac{72+75}{2}=73.5$

Trisha's $=\frac{76+90}{2}=83$

Therefore median of Joaquin's is lower

Thus Joaquin wins the game

5 0

3 years ago

Read 2 more answers

The sum of two numbers is 64. One number is 8 more than the other. What are the two numbers?

lisabon 2012 [21]

Answer:

28 and 36.

Step-by-step explanation:

Alright, so we are given that the sum of two numbers is 64. Based on this, we know that we are going to be adding because the question said "the sum of two numbers is 64." Sum is the answer to an addition problem. Lets write an equation.

We need a variable, let x be the variable which is the value of the smaller number.

the equation is x+x+8=64

x= to the smaller number

x+8= to the number that is eight more than x or the smaller number.

Before we isolate for x, we need to simplify the expression by combining the like terms.

x plus x equals 2x.

Therefore, we have 2x+8=64.

Our goal is to isolate x, so we need to subtract 8 from both sides. 8 mius 8 is 0, and 64 mius 8 is 56.

Now, we have 2x=56.

We still need to isolate x by dividing both sides by 2. 2 divided by 2 is 1, so we are left with 1x or x. 56 divided by 2 is 28.

x=28.

Great, we found what x or the smaller value is.

Now, we need to find the larger number.

Substitute x as 28 into x+8 to find the number that is 8 more than the smaller number or x. You'll then get 36. If you add 36 and 28, you get 64. Also, 36 is 8 more than 28, so this answer is correct.

Hope this helps!

4 0

4 years ago

Solve the given initial-value problem. y'' + 9y = 0, y(0) = 6, y'(0) = −3

Taya2010 [7]

I believe it's y'(0)=-3

I was only able to simplify the equation.

Hope this helps

5 0

4 years ago

Measure of the interior angles of the triangle

scoray [572]

Answer:

Angle A: 45, Angle B: 110, and Angle C: 25.

Step-by-step explanation:

A triangle is 180 degrees total. One angle is 25 degrees. 180- 25 leaves us with 155 degrees. We know that one angle is more than 65 degrees. 155-65 is 90. 90/2 is 45. Therefore, x= 45. Angle A: 45, Angle B: 110, and Angle C: 25. We can double check our work by adding 45+110+25= 180

3 0

3 years ago

Read 2 more answers