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Elden [556K]
2 years ago
13

A windowpane is 28 centimeters by 96 centimeters. What is the distance between opposite corners of the windowpane? ( In cm)

Mathematics
1 answer:
melisa1 [442]2 years ago
8 0

Answer:

100 cm

Step-by-step explanation:

Using the Pythagore theorem :

Imagine that your window is a triangle, and that the distance you search is AC

So you have :

AC² = AB² + BC²

AC² = 28² + 96²

AC² = 784 + 9216

AC² = 10000

AC = √10000

AC = 100

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expeople1 [14]

thats the answer just look at the picture :)

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8 0
3 years ago
Is this correct? If not can you explain why?
krok68 [10]
BOTH of your answer ARE CORRECT!
3 0
3 years ago
(2×-5) for ×=-3 and for ×=3.​
Brut [27]

Answer:

<h2>-11 and 1</h2>

Step-by-step explanation:

Put the values of x to the given expression:

for x = -3:

2(-3) - 5 = -6 - 5 = -11

for x = 3

2(3) - 5 = 6 - 5 = 1

6 0
3 years ago
Eric made a drawing of his rectangular bedroom with the scale 1 inch=3 feet. The drawing was 5 inches long 4 inches wide. What w
kolbaska11 [484]

Answer:

180 square feet

Step-by-step explanation:

We know that the rectangular drawing has:

  • 5 inches long (L)
  • 4 inches wide (W)

And we also know that:

<em>1 inch = 3 feet</em>

We will find how many feet long and wide is the actual room, by multiplying:

Long: 5 inches * 3 feet/inch = 15 feet

Wide: 4 inches * 3 feet/ inch = 12 feet

Now we want to know the area of the rectangle, and the area of the rectangle is:

<em>A = L*W</em>

<em>A = 15 feet * 12 feet</em>

A = 180 square feet

3 0
3 years ago
Find the value of x and y.
zysi [14]

Answer:

<em>x = 9</em>

<em>y = 36</em>

Step-by-step explanation:

<u>Lines and Angles</u>

Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):

7x + 1 = 4x + 28

Subtracting 4x + 1:

3x = 27

Dividing by 3:

x = 9

Substituting in the expression for the angles:

7x + 1 = 7*9 + 1 = 64°

The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°

This last angle is equal to the expression of y:

-2(3 - y) + 19 = 85

Subtracting 19:

-2(3 - y) = 66

Removing the parentheses:

-6 + 2y = 66

Adding 6:

2y = 72

Dividing by 2:

y = 36

Final answer:

x = 9

y = 36

8 0
2 years ago
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