Answer:
10 + (2 x 3)^2 / 4 x (1/2) ^3
First do the parentheses
2 x 3 = 6
1 / 2 = 0.5
We are left with
10 + 6^2 /4 x 0.5^3
Do exponents
6 x 6 = 36
0.5 x 0.5 x 0.5 = 0.125
10 + 36 / 4 x 0.125
Divide by 4 and multiply by 0.125
36 / 4 = 9
9 x 0.125 = 1.125
We are left with
10 + 1.125 = 11.125
The answer is 11.125
Step-by-step explanation:
Answer:
w= 8
Step-by-step explanation:
180-90= 90
(5w + 1) + (7w- 7) = 90
solve
w= 8
Answer:
Length of the side opposite to angle 
is 31.49
Step-by-step explanation:
Included angle can be defined as the angle in between two sides of the triangle.
So angle is in between sides 16 and 21.
Refer to the attachment for triangle diagram.
To find the length of opposite side, use cosine rule as follows
From the diagram, 
Substituting the values in the formula,
Simplifying,
Taking square root on both sides,
Therefore length of third side is 31.49
Answer:
Step-by-step explanation:
Current Weight Weight after adding Marbles
Giulio: 2x 2x + 10
Jim: x x + 5
You didn't post the options so hopefully you can determine the answer based on the info I provided above.
Answer:
Area of the triangle = 210 cm^2 .
Step-by-step explanation:
Perimeter of triangle = 4x + 1 + 3x - 1 + 3x = 70
10x = 70 - 1 + 1 = 70
x = 7.
Area A = 1/2 * base * height
= 1/2 * 3x * (3x - 1)
= 1/2 * 3(7) * (3(7) -1)
= 1/2 * 21 * 20
= 210.
