Answer:
5
Step-by-step explanation:
Use the exponent rule
Simplifying the top of the fraction
5^2*5*5^3=5^2+1+3=5^6
Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5
Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.
Therefore, the answer is 5.
Answer:
75°
Step-by-step explanation:
There are 180° in a triangle, so using the ratios and the 180° setup an equation. Solve for x.
5x + 9x + 10x = 180
24x = 180
24x/24 = 180/24
x = 7.5
To find the largest angle measure, use 10x since 10 is bigger than 5 and 9.
10x
10(7.5)
75°
Answer:
5/7
Step-by-step explanation:
A common factor of 8 can be canceled from numerator and denominator.
40/56 = (5·8)/(7·8) = (5/7)·(8/8) = (5/7)·1 = 5/7
_____
Since you know your multiplication tables, you know that 40 and 56 are both multiples of 8.
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If you don't know your multiplication tables, you can find the greatest common divisor (GCD) of the two numbers and divide each by that. The GCD can be found using Euclid's algorithm. For that, you divide the larger by the smaller and use the remainder as the new smaller number. The original smaller number is now the larger number. For these numbers, that looks like ...
56 ÷ 40 = 1 r 16
40 ÷ 16 = 2 r 8
16 ÷ 8 = 2 r 0 . . . . . the zero remainder signals that the divisor (8) is the GCD
Now, your fraction is ...
(40/8) / (56/8) = 5/7
To make an equation that solves for the height as according to the volume of a pyramid, you must isolate the variable h on one side.
The first thing you have to do is to multiply both sides by 3 to get 3V=Bh.
Then, divide both sides by B to get your answer as h=3V/B.
The product of (x1)^2 is 20
