Answer: 11 sqrt3
Well, since this is an equilateral triangle, you know that all of the sides have the same length: 22 inches. If you want to find the altitude (height), you would have to use the Pythagorean theorem: a^2 + b^2 = c^2
This means that the sum of the two legs squared is equal to the hypotenuse of the triangle squared.
We already know that the hypotenuse is 22 inches, so we can plug that in as c.
We also know that to make the triangle a right triangle, we will need to halve the bottom side, getting 11 inches, which we can plug in as b.
Lastly, we need to know a, so that is our variable to solve (the height). Here is the equation:
a^2 + (11^2) = (22^2)
This is equal to:
a^2 + 121 = 484
Now subtract 121 from both sides to get a^2 on its own:
a^2 = 363
Lastly, take the square root of both sides to solve for a:
a = 11 sqrt3
Answer:
846^% and then to rond it is 850^%
Step-by-step explanation:
e radius of a 10” pizza is 5”. Using A= pi2, what is the area of the 10” pizza? (Round to the nearest tenth)
It would be $80.50 or $3,580.5
<u><em>Answer:</em></u>
slope =
<u><em>Explanation:</em></u>
<u>The general form of the linear line is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>The given equation is:</u>
7x + 4y = 20
<u>We will start by putting the equation in the general form:</u>
7x + 4y = 20
4y = -7x + 20
y =
<u>Now, comparing our equation with the general form, we would find that:</u>
m = slope =
c = y-intercept = 5
Hope this helps :)
Answer:
,
Step-by-step explanation:
Part 1) Find the lateral area of the given prism
we know that
The lateral area of the prism is equal to
where
P is the perimeter of the triangular base
L is the length of the prism
<em>Find the perimeter P</em>
we have
substitute
Part 2) Find the surface area of the given prism
we know that
The surface area of the prism is equal to
where
B is the area of the triangular base
LA is the lateral area of the prism
<em>Find the area B</em>
we have
substitute