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madreJ [45]
2 years ago
6

A slice is made parallel to the base of a right rectangular pyramid, as shown. What is the area of the resulting two-dimensional

cross-section? Enter your answer in the box.
Rectangular pyramid intersected horizontally by a rectangle. The front edge of the base of the pyramid is labeled 7 millimeters, and the right edge is labeled 4 millimeters. The height of the pyramid is labeled 5 millimeters. The part of the larger rectangle that intersects the pyramid is a smaller gray rectangle. The front side of the smaller rectangle is labeled 3.5 millimeters, and the right side is labeled 2 millimeters.
Mathematics
1 answer:
hodyreva [135]2 years ago
8 0

Answer:

  7 mm²

Step-by-step explanation:

The area of any rectangle is the product of its side lengths. The area of the cross section is the product of its dimensions:

  (3.5 mm)·(2 mm) = 7 mm²

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Tim and Al are bricklayers. Tim can construct an outdoor grill in 5 days. If Al helps Tim, they can build it in only 3 days. How
KATRIN_1 [288]

Answer:

It would take Al 7.5 days to build the grill alone.

Step-by-step explanation:

Since Tim and Al are bricklayers, and Tim can construct an outdoor grill in 5 days, and if Al helps Tim, they can build it in only 3 days, to determine how long would it take Al to build the grill alone should be done the following calculation:

1/5 + X = 1/3

0.20 + X = 0.333

X = 0.333 - 0.20

X = 0.1333333

X = 1 / 7.5

Therefore it would take Al 7.5 days to build the grill alone.

4 0
3 years ago
The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is t
Anon25 [30]

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

3 0
3 years ago
Ron needed to buy a new jacket for his upcoming ski trip. The ticket price of the jacket was $199.00. After the sales tax was ad
Levart [38]

Answer: 5%

Step-by-step explanation:

Given that:

Ticket price of jacket = $199

Final price after addition of sales tax = $208.95

Percentage sales tax on the jacket =?

Final price after addition of sales tax = price of jacket + amount of sales tax paid

208.95 = 199 + amount of sales tax paid

amount of sales tax paid = 208.95 - 199

amount of sales tax paid = $9.95

Let Percentage of sales tax = x

(x / 100) * 199 = 9.95

199x / 100 = 9.95

199x = 995

x = 5

Hence percent sales tax paid = 5%

8 0
3 years ago
Does the graph represent a function?
stiv31 [10]
No it does not. Any function that has any of the same X vaules (The line going up left to right) is not a function.
6 0
3 years ago
Read 2 more answers
According to the graph, what is the value of the constant in the equation
BaLLatris [955]

Answer:

The answer is C: 75

Step-by-step explanation:

The constant is found by multiplying your height and width, so thats really all you do.

25x3=75

15x3=75

3x15=75

25x3=75

75 would be the constant.

7 0
3 years ago
Read 2 more answers
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