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4 years ago

I need an answer again for this question.

Mathematics

2 answers:

Naddika [18.5K]4 years ago

8 0

Answer:

The area of these combined rectangles would be 40 square meters.

Step-by-step explanation:

First, let's partition this irregular shape into 3 rectangles. Let's begin with the first or larger rectangle. The formula of the area of a rectangle is length times width. So, we know the length is 10 meters, but we don't know the width. We can see the 5 meters measurements and subtract 6 meters with 5 meters to get us to 1 meter. We just found the width of the first rectangle; it is 1 meter. So, let us calculate 10 meters times 1 meter which equals 10 square meters. Keep this aside. Now, notice that the left and right rectangles are visually congruent. Let us focus on one rectangle, the left or right one; you choose. The length is 3 meters. Now, we have to deal with the width. 6 meters minus 1 meter is 5 meters. So do 3 meters times 5 meters which equals to 15 meters squared. Since we have two similar rectangles multiply that by two; so 15 square meters times two rectangles is 30 square meters. Now, add 30 square meters with the preliminary 10 meters and you get 40 square meters. Therefore, the area of the combined rectangles is 40 square meters. If this helps, please rank Brainliest. Thank you!

Sergeeva-Olga [200]4 years ago

6 0

Answer:

Step-by-step explanation:

The area of big rectangle is 60 because 10 multiple by 6 equal 60. And the area of small rectangle is 4 multiple by 5 equal 20.

So the answer is 60-20=40.

Thank you

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Question: Consider the similarity transformation of ΔABC to produce ΔEDF.

german

Answer:

see the explanation

Step-by-step explanation:

we have triangle ΔABC

step 1

Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'

Remember that

A rotation is a rigid transformation

An object and its rotation are the same shape and size, but the figures may be turned in different directions

ΔABC and ΔA'B'C' are congruent

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step 2

Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF

Remember that

A dilation is a non rigid transformation

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Find the scale factor of the dilation

The scale factor is equal to the ratio of corresponding sides

In this problem

Let

z ----> the scale factor

$z=\frac{ED}{AB}=\frac{DF}{BC}=\frac{EF}{AC}$

Multiply the length sides of triangle ΔA'B'C' by the scale factor z to obtain the length sides of triangle ΔEDF

Note: in this problem the scale factor z is less than 1

That means ----> the dilation is a reduction

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4 years ago

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A survey in September 2020 of 1000 gas stations found that the price charged for a gallon of regular gas could be closely approx

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Now to solve the questions
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Basically because we’re finding the amount of values that are greater than that it should be percentage to the right of 2 SD. Which is 2.2% or 0.022 Then multiply that by the number of gas station.
So 0.022 * 1000 = 22.
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C. For this one we just find percentage to the left of -1 SD or simpler just subtract half(the right half) and the percentage in 1 SD from 1 to find the remainder which is the value left of -1SD.
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2 years ago

A chemist has 20% and 50% solutions of acid available. How many liters of each solution should be mixed to obtain 75 liters of 2

mash [69]

Answer:

we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.

Step-by-step explanation:

let the 20% solution = x liters

let the 50% solution = y liters

total solution of the mixture of the two solutions in % = 28%

total solution of the mixture of the two solutions in liters = 75 liters

considering the total solutions given, we will have the following equations if we mix the solutions in equal proportion;

20x + 50y = 28 (75)

0.2x + 0.5y = 0.28(75)

0.2x + 0.5y = 21 -------equation 1

Also,

x + y = 75 ------equation 2

y = 75 - x

(substitute this into equation 1)

0.2x + 0.5(75 - x) = 21

0.2x + 37.5 - 0.5x = 21

0.2x - 0.5x = 21 - 37.5

-0.3x = -16.5

x = -16.5 / -0.3

x = 55 liters

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y = 75 -55

y = 20 Liters

Thus, we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.

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