Answer:
Step-by-step explanation:
Total cost
C (x) = 35+ 60x
Where,
Fixed cost= $35
Variable cost = 60x
x= number of hours of work
Total cost is the addition of fixed and variable cost
C (x) = 35+ 60x
C(5)= 35 + 60(5)
= 35 + 300
=335
C(5) = 335
C(5) = 335 is Olivia's total cost of hiring the electrician
x=5 is the electrician's number of hours of work
35= fixed cost of hiring the electrician
60(5) = 300 is the variable cost of hiring the electrician for 5 hours
Answer:
Step-by-step explanation:
2 in 2:3 is the amount of blue paint
3 in 2:3 is the amount of yellow paint
Figure out how many times to multiply 2 to get 16:
16/2=8
Now, multiply 3 by 8, which would be equal to 24.
Ratio: 16:24
The formula for the volume of a triangular pyramid is:
V=1/3AH (where A=area of the base and H=height)
The formula for the volume of a triangular prism is:
V=AH (where A=area of the base and H=Height)
Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.
Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.
V(pyramid)=1/3V(prism)
Now lets input the volume of the pyramid
26cm³=1/3 V(prism)
Divide both sides by 1/3
78cm³=V(prism)
Answer=78cm³
Answer:
Alix does. See below.
Step-by-step explanation:
Givens
<em><u>Jenny</u></em>
- b1 = 90 cm
- b2 = 80 cm
- height = 23 cm
<em><u>Alex</u></em>
- b1 = 90 cm
- b2 = 70 cm
- height = 27 cm
Formula
For both territories the answer is based on the formula
Solution
<em><u>Jenny</u></em>
- Area = (90 + 80)23/2
- Area = 170 * 23 / 2
- Area = 85 * 23
- Area = 1955 units.
<em><u>Alex</u></em>
- Area = (70 + 90)*27/2
- Area = 160*27 / 2
- Area = 80* 27
- Area = 2160
Alix does by 205 cm
Answer:
1. B) 5.7
2. A) 12
3. A) 11.4
4. A) 5.7
5. A) 16.2
6. A) 11.2
7. No, they do not form a right triangle
8. Yes, they do form a right triangle
Step-by-step explanation:
Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.
1.
16² + b² = 17²
256 + b² = 289
256 - 256 + b² = 289 - 256
b² = 33
√b² = √33
b = 5.74 or 5.7
2.
16² + b² = 20²
256 + b² = 400
256 - 256 + b² = 400 - 256
b² = 144
√b² = √144
b = 12
3.
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
11.40 or 11.4 = c
4.
7² + b² = 9²
49 + b² = 81
49 - 49 + b² = 81 - 49
b² = 32
√b² = √32
b = 5.65 or 5.7
5.
a² + 5² = 17²
a² + 25 = 289
a² + 25 - 25 = 289 - 25
a² = 264
√a² = √264
a = 16.24 or 16.2
6.
10² + b² = 15²
100 + b² = 225
100 - 100 + b² = 225 - 100
b² = 125
√b² = √125
b = 11.18 or 11.2
7.
15² + 8² = 16²
225 + 64 = 256
289 ≠ 256
8.
5² + 12² = 13²
25 + 144 = 169
169 = 169
