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lapo4ka [179]
3 years ago
14

Triangle XYZ is rotated 90° clockwise about the origin.

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

(1,3)

Step-by-step explanation:

Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.

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Choose the best answer:
Oksi-84 [34.3K]

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = \frac{1}{2} × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = \frac{1}{2} × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 =  \frac{1}{2} × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = \sqrt{(leg1)^{2}+(leg2)^{2}}

∴ hypotenuse = \sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}

∵ The simplest form of \sqrt{52} = 2\sqrt{13}

∴ The length of the hypotenuse = 2\sqrt{13} inches

3 0
3 years ago
The equation 7×+1=4×+10 ?
HACTEHA [7]
7x-4x=10-1
3x=9
3/3x=9/3
x=3
5 0
3 years ago
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Leorys favorite basketball player is 6 feet 8 inches tall how tall i leorys favorite basketball player in inches
sladkih [1.3K]
Answer:  " 80 inches " .
_______________________________
Explanation:
_______________________________
6 feet  + 8 inches = ?

Note: 12 inches = 1 ft.

6 ft * (12 inches/ ft) = 72 inches; 
______________________________
72 inches + 8 inches = 80 inches.
_______________________________
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3 years ago
without building a model tell whether a long row of 8 cubes or a cube made from 8 would have a greater volume. explain
Viktor [21]
I'm presuming that the 'large cube' is made from 8 cubes the same size as the 8 cubes in the long row. They both have the same volume, the only difference between them is that they are arranged in a different order. Hope this helps. If not feel free to ask again and give more information.
7 0
3 years ago
506,709 in word form
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Five hundred six thousand seven hundred and nine.
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