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photoshop1234 [79]
3 years ago
9

62. A roof in the e

Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

9.4m

Step-by-step explanation:

Let the diagram of the rectangular pyramid be as shown in the attached

If a point C' is selected midway between C and B and F' is selected midway between D and C as shown in pyramid 2

FC can then be computed using pythagoras theorem such that

FC^2 = FC'^2 + CC'^2

FC^2 = (14.6/2)^2 + (9.8/2)^2

FC^2 =53.29 + 24.01

FC^2 = 77.3

FC = sqrt(77.3) = 8.8

To determine the height of the attic, we estimate EF, Pythagoras theorem can be used for triangle EFC

such that EC^2 = EF^2 + FC^2

therefore EF^2 = EC^2 - FC^2

EF^2 = 12.9^2 - 8.8^2

EF^2 = 166.41 - 77.44

EF^2 = 88.97

EF = sqrt(88.97)

EF = 9.4

The height of the attic is therefore 9.4m

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A car rental company charges $11 a day and 18 cents per mile to rent their cars. If the total charge for a 2-day rental was $61.
Ne4ueva [31]

Answer:

220 miles

Step-by-step explanation:

.18m + 11d = 61.60

d = 2

.18m + 22 = 61.60

Subtract 22 from both sides

.18m = 39.60

Divide both sides by .18

m = 220

6 0
3 years ago
What is the equation of the line that is perpendicular to y=2x+4 and passes through the points (4 6)
Anuta_ua [19.1K]

Answer:

y=-0.5x+8

Step-by-step explanation:

Opposite reciprocal of 2: -0.5

6=-0.5*4+b

6=-2+b

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4 years ago
Matthew bought snacks for soccer team. He bought a bag of apple slices for $5.65, and he bought a 12 pack of Gatorade bottles. T
agasfer [191]

Answer:

6.48/12=B

Step-by-step explanation:

B=6.48

6.48/12=0.54

Each Gatorade bottle costs 54 cents.

5 0
4 years ago
Read 2 more answers
What is the mean median and mode of 99, 69, 96, 69, 78. Round to the nearest tenth if necessary
KiRa [710]
A median is the middle number of a data set.
To find it put the numbers in order.
78, 69, 69, 96, 99
Then find the middle number
78, 69, *69,* 96, 99

The median is 69

A mode is the number that appears the most in a set of numbers.
78, *69, 69,* 96, 99

The mode is 69

To find the mean or average of a set of numbers, add all the numbers together then divide by the number of numbers there are.
99+69+96+69+78 = 411
411/5 = 82.2

The mean is 82.2

Hope this helped! If you have anymore questions or don't understand, please comment on my profile or DM me. :)
6 0
3 years ago
Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There a
Ira Lisetskai [31]

Answer:

Points B and C are opposite

Step-by-step explanation:

0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.

Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left

3 0
3 years ago
Read 2 more answers
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