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scoray [572]
3 years ago
14

Jackie cut a piece of paper along its diagonal, as shown below, forming two triangles. A rectangle is cut diagonally to form 2 e

qual triangles. How do the height and base length of the two triangles compare to the height and base length of the original piece of paper?
Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

The two dimensions are the same in the triangles as they were in the rectangle.

Step-by-step explanation:

Height of a triangle is the perpendicular distance from the one vertex of the triangle to the one side of the triangle( that side is called base of the triangle).

Let the length of the given rectangle is l unit and width of the rectangle is b unit,

When the rectangle is cut along its diagonal,

Then we found two right triangles,

In which both having dimensions,

height = b and base = l,

Thus, the dimension of the triangles are same as the rectangles.

⇒ First option is correct.

Read more on Brainly.com - brainly.com/question/12150549#readmore

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Y_Kistochka [10]
The only solution is x=7
Although the problem is solves correctly, always makes sure to check it by inputting it back into the equation. Putting -3 into the equation, one side turns negative and the other is positive. For this reason, it is impossible for one of the answers to be -3.
6 0
2 years ago
Find the measurement of the indicated angle to the nearest degree
MaRussiya [10]

Answer:

42

Step-by-step explanation:

This time, you'll be doing SOH.

sin (x) = 39/59=0.66

then do sin^-1 (0.66)

x = 42 degrees (think this is correct I hope)

4 0
3 years ago
Please solve these equations much appreciated
Reptile [31]

Answer:      

Part c) V=16,500\ m^3

Part d) V=93,312\pi\ mm^3  or V=292,999.68\ mm^3

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the rectangular base

h is the height of pyramid

<em>Find the area of the base B</em>

B=(60)(15)=900\ m^2

h=55\ m

substitute

V=\frac{1}{3}(900)(55)

V=16,500\ m^3

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

V=\pi r^{2}h

we have

r=36\ mm\\h=72\ mm

substitute

V=\pi (36)^{2}(72)

V=93,312\pi\ mm^3 -----> exact value

<em>Find the approximate value</em>

assume

\pi =3.14

V=93,312(3.14)=292,999.68\ mm^3

7 0
3 years ago
Looking at the histogram, how many students took the exam? <br>A: 37<br>B: 14<br>C: 5<br>D: 28​
zavuch27 [327]

Answer:

(-2, 33) and (5, - 16)?

A. 7x- y=51

B. 7x+ y= -47

C. 7x+ y= -14 D. 7x+y= 19

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which of the following are true statements.
Mariulka [41]

Answer:

Second statement is true.

The lengths 7, 40 and 41 can not be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

Step-by-step explanation:

for first part of statement

The lengths 7, 40 and 41 can not be sides of a right triangle.

If the square of long side is equal to the sum of square of other two sides

then the given length can be sides of a right triangle.

Check the given length by Pythagoras Theorem.

c^{2} =a^{2} +b^{2}----------(1)

Let c=41 and a = 7 and b=40

Put all the value in equation 1.

41^{2} =7^{2} +40^{2}

1681=49+1600

1681=1649

Therefore, the square of long side is not equal to the sum of square of other two sides, So given lengths 7, 40 and 41 can not be sides of a right triangle.

for second part of statement.

The lengths 12, 16, and 20 can be sides of a right triangle.

Check the given length by Pythagoras Theorem.

Let c=20 and a = 12 and b=16

20^{2} =12^{2} +16^{2}

400=144+256

400=400

Therefore, the square of long side is equal to the sum of square of other two sides, So given the lengths 12, 16, and 20 can be sides of a right triangle.

Therefore, The lengths 7, 40 and 41 can not be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

8 0
3 years ago
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