Answer:66
Step-by-step explanation:
The first thing we should know is that a kite has two pairs of adjacent congruent sides, so to find the value of x we are going to set the equations equal to each other. The value of x is 4. After, plugging the value of x into the equations the measure of both angles is 33. Angle TUV is made up of angles TUW, and VUW because of the measure of angle TUV is 66.
10x-7=5x+13
5x=20
x=4
10(4)-7=33
5(4)+13=33
Answer:
Option a.
Step-by-step explanation:
By looking at the options, we can assume that the function y(x) is something like:


such that, y(0) = √4 = 2, as expected.
Now, we want to have:

replacing y' and y we get:

Now we can try to solve this for "a".

If we multiply both sides by y(x), we get:


We can remove the x factor in both numerators if we divide both sides by x, so we get:

Now we just need to isolate "a"


Now we can subtract a*x^2 in both sides to get:

Then the solution is:

The correct option is option a.
Answer:
The volume of the triangular pyramid
V = 566.66 in³
Step-by-step explanation:
<u><em>Step(i):-</em></u>
The volume of the triangular pyramid

Base area = Area of the triangle

Given the base of the triangle (b) = 17in
Given Height of the triangle (h ) =10 in

The base area of the pyramid ( A) = 85 in²
<u><em>Step(ii):-</em></u>
<u><em>Given the height of the pyramid (h) = 20in</em></u>
The volume of the triangular pyramid

The volume of the triangular pyramid
=
<u><em>Final answer:-</em></u>
The volume of the triangular pyramid
V = 566.66 in³
Answer: cos30
Step-by-step explanation: