9514 1404 393
Answer:
- surface area: 456 cm²
- volume: 408 cm³
Step-by-step explanation:
The surface area of the figure is the total of the areas of the two triangular bases and the three rectangular faces.
SA = 2(1/2)(8 cm)(6 cm) + (17 cm)(6 cm + 8 cm + 10 cm)
= 48 cm² + 408 cm²
SA = 456 cm²
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The volume is the product of the area of the triangular base and the length of the prism.
V = (1/2)(8 cm)(6 cm)×(17 cm) = (24 cm²)(17 cm)
V = 408 cm³
Answer:71
Step-by-step explanation:
range is the difference between the highest number and the smallest number in a group of data
Highest number=85
Smallest number=14
Range=highest number-smallest number
Range=85-14
Range=71
Answer:
<em>(-8,4)</em>
Step-by-step explanation:
<u>System of Equations:</u>
Solve the following system of equations by the substitution method:
5x - 6y = -64 [1]
y = 20 + 2x [2]
Substituting y from [2] in [1]:
5x - 6(20 + 2x) = -64
Operating:
5x - 120 - 12x = -64
Simplifying:
-7x - 120 = -64
Adding 120:
-7x = -64 + 120 = 56
x = 56/(-7) = -8
x = -8
From [2]:
y = 20 + 2(-8) = 4
Solution (-8,4)
19 x (42 + 58) or 19*(42 + 58) is the expression she can use. You factor out the common term 19. The distributive rule says that we can multiply the outer 19 with each term inside to get the original expression again.
