Answer:
58 units squared
Step-by-step explanation:
We want to find the area of the square. To do so, we need to find the hypotenuse of the right triangle because this coincides with the side length of the square.
We use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a^2 + b^2 = c^2
Here, a = 7 and b = 3, so:
7^2 + 3^2 = c^2
c^2 = 49 + 9 = 58
Now, the area of a square is: A = s^2, where s is the side length. Well, c is the side length, and we've already found what c^2 is (it's 58), so that means the area of the square is 58 units squared.
Thus, the answer is 58 units squared.
10 miles per second in feet per second is 14.67 feet per second
Step-by-step explanation:
The average speed of one team in a relay race = 10 miles per hour.
We need to find the speed in feet per second.
1 mile per hour = 1.467 feet per second
So, Speed in feet per second is:
1 mile per hour = 1.467 feet per second
10 miles per hour = 10*1.467 feet per second
= 14.67 feet per second
So, 10 miles per second in feet per second is 14.67 feet per second
Keywords: Conversion of units
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Answer:
y=1/2x-3
is the slope intercept form
Step-by-step explanation:
Hope this helps :) Have a great day!!!
Answer:
Ratio: 3:2
LN = 18
Step-by-step explanation:
"similar" means that all the angles are the same and the sides were all increased by the same proportion.
Thus, we know that MN/YZ = LM/XY = NL/ZX
First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.
MN/YZ = 15/10 = 3/2
(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)
To find the missing side, we simply multiply XZ by 3/2.
12 * 3/2 = 18, so LN = 18.