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docker41 [41]
3 years ago
10

Carmen is painting a wall that is 26 feet by 16 feet. What is the perimeter on the wall , in inches?

Mathematics
2 answers:
strojnjashka [21]3 years ago
8 0
26×2=52
16×2=32
52+32=84
Perimeter=84
LenKa [72]3 years ago
6 0

Answer:

1,008 Inches

Step-by-step explanation:

Wall has two pairs of parallel sides. Each pair has equal lengths  and therefore the wall is 26 ft. By 16ft. By 26 ft. By 16ft.  In order to find the total perimeter of the wall, add 26+16+26+16 = 84.  Because the measurement is in feet, you have to multiply the 84‘ x 12“ per foot to find the total number of inches around the wall which equals 1008 inches  

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A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year. This situation
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Answer:

This situations represents the depth of the lake after t years.

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount is given by:

D(t) = D(0)(1-r)^t

In which D(0) is the initial amount and r is the decay rate, as a decimal.

A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year.

This means that D(0) = 30, r = 0.02

So

D(t) = D(0)(1-r)^t

D(t) = 30(1-0.02)^t

D(t) = 30(0.98)^t

This situation represents

The depth of the lake after t years.

The rate of growth or decay, r, is equal to

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is times the depth in the previous year.

1 - 0.02 = 0.9

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take between years for the depth of the lake to reach 26.7 meters.

This is t for which D(t) = 26.7. So

D(t) = 30(0.98)^t

26.7 = 30(0.98)^t

(0.98)^t = \frac{26.7}{30}

\log{(0.98)^t} = \log{\frac{26.7}{30}}

t\log{(0.98)} = \log{\frac{26.7}{30}}

t = \frac{\log{\frac{26.7}{30}}}{\log{0.98}}

t = 5.77

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

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The angles of a quadrilateral are in the ratio 2:4:5:6 what is the difference between the largest angle and the smallest angle​
Annette [7]

Answer:

85

Step-by-step explanation:

From the question given above, the following data were obtained:

Ratios of the angle => 2 : 4 : 5 : 6

Difference between the largest angle and the smallest angle​ =?

Next, we shall determine the various angles in the quadrilateral. This can be obtained as follow:

Ratios of the angle => 2 : 4 : 5 : 6

Total ratio = 2 + 4 + 5 + 6

Total ratio = 17

Angle in a quadrilateral = 360

For ratio 2:

Angle = 2/17 × 360 ≈ 42

For ratio 4:

Angle = 4/17 × 360 ≈ 85

For ratio 5:

Angle = 5/17 × 360 ≈ 106

For ratio 6:

Angle = 6/17 × 360 ≈ 127

SUMMARY:

The angles are => 42°, 85°, 106° and 127°

Finally, we shall determine the difference between largest angle and the smallest angle​. This can be obtained as follow:

Smallest angle = 42°

Largest angle = 127°

Difference between the largest angle and the smallest angle​ =?

Difference = Largest – Smallest

Difference = 127 – 42

Difference = 85

Thus, the difference between the largest angle and the smallest angle​ is 85.

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2 years ago
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