Answer:
Step-by-step explanation:
Let A represent the area of the triangular base and h the height of the prism. Then the volume of this triangular prism is V = (1/3)(A)(h).
Answer:
Angle E = 73 degrees
Step-by-step explanation:
Supplementary means it equals 180 degrees.
So to find x, you add the 2 equations.
2x + 15 + 5x - 38 = 180
which equals 7x + (-23) = 180 = 7x - 23 = 180
7x = 203 You move the -23 to the other side
203/7 = 29 So x = 29 degrees
So to find angle E, you put in 29 degrees for x.
2 x 29 + 15 = 73 degrees
The circle was 126 meters around.
Step-by-step explanation:
Step 1; It is given that the big circle was 40 feet across the center. This implies the distance from any particular point on the circle to any other point is 40 feet. This means the diameter of this given circle is 40 feet. Any given circle's radius is 0.5 times the diameter of that same circle. So we divide 40 by 2 to get the circle's radius. So the radius is 40/2=20 feet. So the radius of this given circle is 20 feet.
Step 2; To find how many feet around means we need to find perimeter and not area. Area means the region inside the circle whereas perimeter is how long the circle is i.e how long the circle around is. So the distance around this circle is 2 multiplied with pi and its radius. The distance around any given circle = 2πr.
Perimeter of this circle = 2 × 3.141592 × 20 = 125.6637 feet.
Not sure but I believe letter B) 3+4 is rational since the answer is 7 and 7 is a rational number and it can be expressed as a quotient. The sum of a rational number and an irrational number is irrational. The sum of two rational numbers is rational
Answer:
Time at which the hammer reaches the ground is 2.3 seconds.
Step-by-step explanation:
We are given the formula as, 
.
It is known that, when height i.e. 
meter, then velocity 
m/sec.
So, we get the formula as, 
.
Now, when the hammer hits the ground, the height 
meter.
Thus, we have,
⇒ 
⇒ 
⇒ 
i.e. t= ±2.3 sec
Since, time cannot be negative.
So, t= 2.3 sec
Hence, the time at which the hammer reaches the ground is 2.3 seconds.
