Picturing the tent helps, but we can actually solve this question using simple algebra and no knowledge of triangles.
The key is this function:
(b/h) = 2/√3
We want to get h by itself. First, multiply both sides by h:
b = h(2/√3) Now multiply both sides by the reciprical, (√3/2)
(√3/2) b = h
Therefore, the answer is C) h= b(√3/2)
Answer:
1) 36
b) 5
c) 3.0
Step-by-step explanation:
1) The recursive formula that defines the given sequence is

That means we keep adding 4 to the subsequent terms:
The sequence will be:
12,16,20,24,28,32,36,...
Therefore the seventh term is 36.
2) The sequence is recursively defined by;

This means, we have to keep subtracting 5 from the subsequent terms.
The sequence will be;
20,15,10,5,...
Therefore the fourth term is 5
3) The sequence is recursively defined by:
f(n+1)=f(n)+0.5
where f(1)=-1.5
This means that, the subsequent terms can be found by adding 0.5 to the previous terms.
The sequence will be:
-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....
Therefore f(10)=3.0
Answer:

and

Step-by-step explanation:
First make all the fractions into improper fractions

After doing that put them back into the problems
Problem 1)
÷
, plug in the improper fractions
÷
to divide, you need to flip the second fraction and multiply
·
=
then reduce

Problem 2)
÷
Plug in improper fraction
÷
Then flip second fraction and multiply
·
Multiply
Reduce, or make it a mixed number

Answer:
120
Step-by-step explanation:
I'm assuming your looking for the area (if not pls tell me and I will make corrections)
So to get the area of a 3D shape you multiply the length, width, and height
5×4×6=120
Answer: You need a grade of 78 on the final exam to earn a final grade average of at least 87 in each grading system.
Step-by-step explanation:
(85 + 90 + 95 + x)÷ 4 =87
Simplify:
(270 + x) ÷ 4 = 87
Rearrange:
(x + 270) ÷ 4 = 87
Multiply terms to Reduce:
4((x + 270) ÷ 4) = 4 * 87
Cancel Multiplied terms in Denominator:
x + 270 = 4 * 87
Multiply:
x + 270 = 348
Subtract 270 on both sides of the equation:
x + 270 - 270 = 348 - 270
Simplify:
x = 78