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Harrizon [31]
3 years ago
9

What is the length of the third side of the window frame below?

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:

15 inches

Step-by-step explanation:

The longest side of the right triangular window frame is 39 inches

The height is 36 inches

Let the base of the window frame be x inches

So according to Pythagoras theorem,

x² + 36² = 39²

x² = 39² - 36² = 225

x = \sqrt{225} = 15 inches

The third side of the window frame is therefore equal to 15 inches.

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Suppose that y varies directly with x and y=10 when x=-20. What is y when x =15?
USPshnik [31]

Answer:

15/2

Step-by-step explanation:

You want to first find the connection between the first statement, y=10 and x=20. The connection is that Y is X divided by 2. Then you want to just do the same equation to the y and keep it a fraction. (Hint. a fraction is the same as what you do to divide, its just the equation before you find your answer.) so your answer is 15/2.

Hope its right, and i hope this helped.

8 0
2 years ago
There are fewer than 30 students in the A-level mathematics class. One half of them
masya89 [10]

The number of students that play hockey is 7

The proportion is given as:

Piano =\frac 12

Hockey =\frac 14

School\ Play =\frac 17

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

Hockey =\frac 14 \times 28\\

Multiply

Hockey =7

Hence, 7 students play hockey

Read more about common multiples at:

brainly.com/question/290451

7 0
3 years ago
Will mark brainliest if done within 20 minutes of this being posted! NO LINKS NO FILES. Solve the radical equations and show you
Simora [160]

Step-by-step explanation:

5√x+3 = -20

÷5. : √x+3 = -4

square: x+3 = 16

-3: x = 13

√x+18 -2 = x -4

+2 : √x+18 = x -2

square: x+18 = x^2 - 4x +4

-18: x = x^2 -4x -14

-x : 0 = x^2 -5x - 14

foil: (x- 7) (x+2) = 0

x = 7, -2

6 0
3 years ago
Kayla bought 9/4 pounds of apples. What is that weight as a mixed number? A. 1 1/4 B. 1 4/9 C.2 1/4 D. 2 3/4
kotykmax [81]
C 2 1/4

9÷4= 2 with a remainder of 1
4 0
3 years ago
Question and choices are in the photo please explain the answer
horsena [70]

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

8 0
3 years ago
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