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Alik [6]
3 years ago
8

What is the length of the hypotenuse of the triangle below?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square oh the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = (9\sqrt{2} )² + (9\sqrt{2} )² = 162 + 162 = 324 ( take the square root of both sides )

h = \sqrt{324} = 18 → D

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What is the area of trapezoid ABCD?
Pani-rosa [81]
Determine the measure of bases a and b and height h of the given trapezoid. Given the coordinates of the points, the distance is calculated through the equation,

     d =  sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Base 1: (-2,2) and (1,-2):
    d= sqrt ((-2 - 1)² + (2 - -2)²) = 5

Base 2: (2,5) and (11, -7)
   d = sqrt ((2 - 11)² + (5 - -7)²) = 15

Height: (-2,2) and (2, 5)
   h = sqrt ((-2 -2)² + (2 - 5)²) = 5

The equation for the area of the trapezoid is,
    A = (1/2)(base1 + base2)h

Substituting the known values,
   A = (1/2)(5 + 15)(5) = 50

ANSWER: 50 square units
7 0
3 years ago
A jar contains 6 yellow marbles, 14 red marbles, and 7 green marbles. what is the probability of selecting a red or yellow marbl
Mama L [17]
Add all the marbles up: 6 + 14 + 7 = 27 marbles
There are 6 yellow marbles and 14 red marbles. 6 + 14 = 20

The probability of selecting a red/yellow marble is a 20 out of 27 chance.
8 0
4 years ago
Please answer this question in two minutes
Stells [14]

Answer:

D: 57 units

hope this helps!!

8 0
3 years ago
What is the volume of the following cylinder?
tigry1 [53]
If the diameter is 12, then its radius is half that, or 6.

\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=6\\
h=15
\end{cases}\implies V=\pi (6)^2(15)\implies V=540\pi
6 0
3 years ago
Read 2 more answers
PLEASE HELP! Fill in the blank!<br> 5 - _ = 14
pochemuha

-8

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
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