Answer:
w = -7
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide -2 from both sides:
(14)/-2 = (-2w)/-2
(14)/-2 = w
Note that when you are dividing:
- 1 negative & 1 positive sign will result in a negative answer
- 2 negative sign will result in a positive
- 2 positive sign will result in a positive
In this case:
(14)/-2 = -7
-7 is your answer for w.
~
Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.
To solve this problem you must apply the proccedure below:
1. You have that:
- Sarah sights the top of the statue of liberty at an angle of elevation of 61°.
- She is standing 166 feet from the base of the statue.
<span>
- Sarah is 5.5 feet tall.
2. Therefore, the heigth of the statute is:
Tan(61°)=x/166
x=(166)(</span>Tan(61°)
x=299.47 feet
Height of the statue=299.47 feet+5.5 feet
Height of the statue=304.97 feet
Midpoint formula : (x1 + x2)/2 , (y1 + y2)/2
(12,4)...x1 = 12 and y1 = 4
(12 + x) / 2 = -8
12 + x = -8 * 2
12 + x = -16
x = -16 - 12
x = - 28
(4 + y) / 2 = 8
4 + y = 8 * 2
4 + y = 16
y = 16 - 4
y = 12
so ur other point is (-28,12) <==
Answer:
15units
Step-by-step explanation:
Area=pi×r², where r is the radius.
706.5=3.14×r²
r²=225
r=15units