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NARA [144]
3 years ago
13

Sarah swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Sarah swim in

the morning than in the evening?
Mathematics
1 answer:
ryzh [129]3 years ago
8 0
1/3 is the answer
Hope this is correct
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All of the edges of a regular triangular pyramid have length 12. A frustum of the pyramid has height half of that of the pyramid
vlada-n [284]

Answer:

1) The volume of the frustum is 27·(√3)·h

2) The surface area the frustum is 24·h + 54·√3

Step-by-step explanation:

1) A frustum of the regular triangular prism is a portion of the triangular prism

The length of the edge of the triangle prism = 12

The area of the triangular face, A = (√3/4)·a²

∴ A = (√3/4)·12² = 36·√3

When

The volume of the triangular prism, V = A·h = (36·√3)·h

By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism =  (√3/4)·6² = 9·(√3)

The volume of the top half, V₂ = 9·(√3)·h

The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h

The volume of the frustum = 27·(√3)·h

2) The surface area of the triangular side of the frustum is given as follows;

A = 36·√3- 9·(√3) = 27·(√3)

The surface area the frustum, F_A = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3

The surface area the frustum = 24·h + 54·√3

4 0
3 years ago
A rectangle has a width of 9 inches. The area of the rectangle is 648 square inches. What is the length, in inches, of the recta
Ivan

Answer:

The length is 72

Step-by-step explanation:

length x width = area

9 x length = 648

length = 72

7 0
3 years ago
Luca made a scale drawing of the auditorium. in real life, the stage is 45 feet long. it is 18
ollegr [7]

Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30

8 0
2 years ago
Help please n ty :P<br> sdhgfahedgewkgfzndb
Ugo [173]

Answer:

y=-3.2\\\\y=-2.2\\\\y=-1.8

Step-by-step explanation:

Insert the given x values for the given equation to find the corresponding y coordinate:

y=0.2x-2

x:-6,-1,1

Insert -6:

y=0.2(-6)-2

Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):

y=-1.2-2

Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):

y=-3.2

Insert -1:

y=0.2(-1)-2\\\\y=-0.2-2\\\\y=-2.2

Insert 1:

y=0.2(1)-2\\\\y=0.2-2\\\\y=-1.8

:Done

3 0
3 years ago
Someone please help!!&lt;3
Nataliya [291]

Answer:

the answer is c

Step-by-step explanation:

the answer is c

4 0
2 years ago
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