Answer:
268.0 in²
Step-by-step explanation:
refer to attached graphic as reference
volume of cone, V = (1/3) πr²h
in our case, we are given r = 4" and h = 16"
substituting this into equation:
V = (1/3) πr²h
= (1/3) ·(3.14) · (4)²· (16)
= 267.94667 in²
= 268.0 in² (nearest tenth)
Ok the ladder and the ground will make a right triangle/right angle. This is because the ground is flat, the wall is straight and only the ladder is leaning/slanted. I hope this helps.
Lets quickly run through the prime numbers and see what it is not divisible by
39 is not divisible by 2
39 IS divisible by 3
So lets stop right here.
What is 39 divided by 3? 13 !
And 13 is a prime number too!
So that is all we can do.
So prime factorization of 39 is <u>3 x 13</u><u><em /></u>
The equation y=2x+1 has the same slope , so will be parallel to the given line.
<h3>What is a linear function ?</h3>
A function that can be represented in the form of y =mx +c , is called a Linear Function.
here m is the slope and c is the y intercept.
The slope of the given line can be found as follows
The y intercept is 4
at x = -2 , y =0
0 = -2m + 4
m = 2
The line parallel to this line will have the same slope
In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.
To know more about Linear Function
brainly.com/question/21107621
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Answer:
m<A = 70 deg
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.
m<A + m<B + m<C = 180
5x - 25 + 2x + 10 + 3x + 5 = 180
10x - 10 = 180
10x = 190
x = 19
m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70
Answer: m<A = 70 deg