Answer:
a =7.5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10 ^2 = 12.5^2
a^2 + 100 =156.25
Subtract 100 from each side
a^2 = 56.25
Take the square root of each side
sqrt(a^2) = sqrt( 56.25)
a =7.5
Answer:
C.
Step-by-step explanation:
Recall that the sum of the (3) interior angles of a triangle <em>must</em> equate to 180.
In other words:

Where x is our unknown angle. So, we need to solve for x.
On the left, add 55 and 20:

Subtract 75 from both sides. The left side cancels:

Therefore, the third angle is 105 degrees.
Our answer is C.
Answer:
$116
Step-by-step explanation:
The Simple Interest formula is i = prt. Here,
i = ($1,450)(0.04)(2 yr) = $116
Answer:
3.4*10^1159
Step-by-step explanation:
2,000,000 x 10,000 x 170 x 10E1146
2,000,000 x 10,000 = 2*10^10
2*10^10*170 =340*10^10
Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent
3.4*10 ^ (10+2)
3.4*10^12
10E 1146 means 10*10^1146
This is really 1 * 10^(1146+1)
3.4*10^12 * 10^1147
We add the exponents
3.4*10^(12+1147)
3.4*10^1159
Answer:
8x^3
Step-by-step explanation:
(2x)3
=(2x)3
=2x*2x*2x
=8x^3