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ahrayia [7]
3 years ago
8

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 35 feet, and the

Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Answer:

Step-by-step explanation:

a = 35 feet

b = 54 feet

h = 28 feet

Area=\frac{[a+b]*h}{2}\\\\=\frac{[35+54]*28}{2}\\\\=\frac{89*28}{2}\\\\=89*14\\\\

= 1246 square feet

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Characterize the slope of the line in the graph
katen-ka-za [31]

Answer:

Please check the attached graph.

Step-by-step explanation:

<em>Note: You did not add the graph; so I am taking a sample graph to clear the concept anyway. Please check the referred graph attached below.</em>

<em />

The slope on the graph basically tells us the time rate of change.

  • In other words, it describes the steepness of a straight line.

The slope can also be termed as:

  • Slope = rise / run

<em />

From the attached graph, taking twp points

  • (0, 3)
  • (-1, 0)

Finding the slope between (0, 3) and (-1, 0) using the formula

\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{0-3}{-1-0}

m=3

Thus, the slope of the given line on the graph = m = 3

3 0
3 years ago
Mr. Thompson, a retiree, looks at his check register.
sukhopar [10]

As given,

Weekly rent of Mr. Thomson is = $104.92

Part A: What is Mr. Thompson's yearly rent (using 52 weeks)?

Rent for 1 week = 104.92

Rent for 52 weeks = 104.92\times52 = $5455.84

Part B: What was the average grocery expense in this time period?

Mr. Thomson purchased groceries on 2/18 for $33.45 and on 3/5 for $28.56

Hence average grocery expense is = \frac{33.45+28.56}{2}

= $31 per week or $62.01 per month

Part C: Mr. Thompson estimates his yearly expense for groceries to be:

The monthly expense for groceries is = $62.01

So yearly expense will be = 62.01\times12 = $744.12

4 0
3 years ago
I need help! Please and thank you-
Ymorist [56]

Answer:

Well, I'm not really sure what to do, but if you just need the numbers to multiply to get the latter numbers in the question they are: 10/11 (for the first question) and 81/80 for the second.

Step-by-step explanation:

For Question #1: You just multiply 5/11 by two to get the number that 1/2 has to multiply to get 5/11. And 5/11 * 2 is 10/11. So I guess the answer is 10/11...

For Question #2: The common denominator for them both is 180, and 4/9 times 81/ 80 is what 80/180 (4/9) has to multiply by to get 81/180.

I used the equation 4/9x=9/20

Multiplied the 9 and then divided by 4 to get the answer, which was 81/80.

***I also noticed, that 1/2 is 1/22 away from 5/11, and 4/9 is 1/180 away from 9/20.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the length of the other w
nekit [7.7K]

<em>Marilyn is having shelves installed to create a corner pantry. </em><u><em>The length of one wall is 21 inches and the length of the other wall is 25 inches.</em></u><em> The contractor who is making the shelves, which are shaped like right triangles, needs to know the measure of the angle opposite the short side of the pantry, \left[\begin{array}{ccc}m </em>

Question:

<em>What is the measure of that angle? Round your answer to the nearest degree.</em>

Answer:

40°

Step-by-step explanation:

\left[\begin{array}{ccc}m

4 0
3 years ago
If all the sides of a prism are multiplied by 5, by what factor does the volume increase?
NISA [10]
I'd say increasing each side by 5 increases the volume by a factor of 125 because 5*5*5 = 125.

Example:
A 4*5*6 prism has a volume of 120

Increasing each side by a factor of five
(20*25*30) = 15,000

15,000 / 120 = 125

4 0
3 years ago
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