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ololo11 [35]
3 years ago
11

The base of a triangle and a parallelogram are the same length. Their heights are also the same. If the area of the parallelogra

m is 48 m² , what is the area of the triangle?
A.12 m²
B.24 m²
C.48 m²
D.96 m²
Mathematics
1 answer:
Orlov [11]3 years ago
4 0
B. 24 because the formula for a triangle area is 1/2bh, and the formula for a parallelograms area is bh
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How many gallons of water will be in the fish tank after 3 minutes?
enyata [817]

If Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes, then the tank will be filled with 4.8 gallons of water after 3 minutes.

As per the question statement, Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes.

We are required to calculate the volume of water in gallons, that will be filled in the above mentioned tank after 3 minutes.

Here, it is given that, the tank gets filled with 0.8 gallons of water in 0.5 minutes, and that, the water flows into the tank at a constant rate.

So first, let us calculate the water flow rate into the tank per minute, that is, [(0.8 * 2) = 1.6 gallons] per minute, since [(0.5 minutes * 2) = 1 minute]

Therefore, the tank will get filled with [(1.6 * 3) = 4.8 gallons] of water in 3 minutes, if the water inflow rate is 1.6 gallons per minute.

  • Gallons: A gallon (gal) is a measuring unit for volume and capacity, typically used by the U.S. customary and earlier by the British Imperial Systems of Measurement, with 1 US gallon being equal to 3.785411784 Litres, and 1 imperial gallon being equal to 4.54609 L.

To learn more about Gallons and Constant Flow Rates, click on the link below.

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4 0
1 year ago
The table below shows the number of customers that come eat lunch at a local deli each week.
jek_recluse [69]

The table of the number of customers illustrates two different patterns

Deli should expect 90 customers to serve during week 8

<h3>How to determine the number of customers</h3>

From the table, the even number of week increases by 10, while the odd number of weeks reduces by 5.

At week 6, the number of customers is 80.

So, the number of customers at week 8 is:

Week 8 = Week 6 + 10

This gives

Week 8 = 80 + 10

Week 8 = 90

Hence, deli should expect 90 customers to serve during week 8

Read more about sequence and patterns at:

brainly.com/question/15590116

8 0
2 years ago
A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

8 0
3 years ago
the angle of depression from the top ski lift is 57 degrees if the vertical distance from the top and bottom ot the lift is 1200
dedylja [7]

Answer:

1200

Step-by-step explanation:

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7 0
3 years ago
How can knowing 4 times 7 help find the product of 8 times 7.
Nadya [2.5K]
Because 4x2 = 8, so 4x7=28, then you times 28 by 2 which equals 56 and 8x7=56
7 0
3 years ago
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