Answer:
a = 34°
Step-by-step explanation:
1. We know that the straight line is a straight angle (180°), and the right angle is worth 90°.
2. This means that a + 90 + 56 = 180.
3. (Solving equation above).
Step 1: Simplify both sides of the equation.
Step 2: Subtract 146 from both sides.
Step 3: Check if solution is correct.
Therefore, a = 34°.
Dr. Newton needs 5000 dollars, and 3000 dollars have already been saved. So, 2000 dollars remain.
If these 2000 dollars must be saved withint 8 months, we can divide the amount needed by the time given, to find out that Dr Newton needs to save
dollars each month.
Answer:
152
Step-by-step explanation:
Hello there!
The prism shown is a triangular prism
There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one
Formula: SA = bh + L(s1 + s2 + s3) (found in the image)
b = base length
h = height
L = length
s1 = (same thing as the base length)
s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)
The triangular prism has the following dimensions
b = 6
h = 4
L = 8
s2 and s3 = 5
Now that we have identified each dimension we plug in the values into the formula
SA = 6*4 + 8(6+5+5)
6*4=24
8*6=48
8*5=40
40*2=80
80+48=128
128 + 24 = 152 so the surface area of the triangular prism is 152 cm²
Answer:
113.04 feet²
Step-by-step explanation:
Use the circle area formula, A = r²
Sine the diameter is 12 feet, the radius is 6 feet
Plug in 6 as r into the formula, and 3.14 as pi, then solve:
A = r²
A = (3.14)(6²)
A = (3.14)(36)
A = 113.04
So, the area of the circle is approximately 113.04 feet²