Answer:
3w+7
Step-by-step explanation:
Let's simplify step-by-step.
8v+w+7−8v+2w
=8v+w+7+−8v+2w
Combine Like Terms:
=8v+w+7+−8v+2w
=(8v+−8v)+(w+2w)+(7)
=3w+7
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
Answer:
1.6 cups
Step-by-step explanation:
Each batch needs 0.4 cups of sugar, and she is making 4 batches. Therefore, we can multiply 0.4 times 4 to find how much sugar is needed.
0.4*4=1.6
So, she needs 1.6 cups of sugar for 4 batches
Answer:
= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a
Or
= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)
Answer:
Height of the pyramid = 3v/y² units
Step-by-step explanation:
We are given;
- The volume of a solid right pyramid with a square base = v units³
- The length of the base edge = y units
The formula for volume of a pyramid is given as;
V = ⅓ x base area x height.
Since the base is square, we will use the formula for square area which is A = side × side.
Thus, v = ⅓ × (y × y) × height
Making height the subject, we have;
Height = 3v/y²
height of the pyramid would be given by the expression 3v/y² units
