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Romashka-Z-Leto [24]
3 years ago
13

The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7

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jeka57 [31]

Answer:

$196 for twenty-four months. $130 for twelve months  

$80 for one month. $100 dollars for five months.

Step-by-step explanation:

y=mx+b solved is y=5x+75

note- X is the amount of months

y=5(24)+75       y=5(11)+75      y=5(1)+75         y=5(5)+75

y=120+75          Y=55+75        y=5+75            y=25+75

y=195                 y=130             y= 80               y=190

7 0
2 years ago
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0
2 years ago
5,-30,180,-1,080 what are the two next numbers
Sedbober [7]

Answer: The next two numbers are 6,480, -38,880.

Step-by-step explanation:

The pattern is to multiply each consecutive term by (-6).  Understand that a negative number times a positive number is a negative number (eg: 5 x - 6 = -30).

A negative number times a negative number is a positive number

(eg: -30 x -6 = 180).  Also, (-1,080 x -6 = 6,480.)  (6,480 x -6 = 38,880).

Hope this helps.

5 0
3 years ago
Mr. Corpulence decides to go on a diet where he will lose 4 pounds a month he now weighs 288 pounds
quester [9]

Answer:

y=-4x+288

Step-by-step explanation:

every month he loses 4 lbs starting from his weight is at now

7 0
3 years ago
Todd is 81 years younger than Rosa. 3 years ago, Rosa’s age was 4 times Todd’s age. How old is Todd now?
Delvig [45]
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
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Todd is 30 now.

_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
8 0
3 years ago
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