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Burka [1]
2 years ago
8

9. Three minutes after a hot tub starts to fill, the tub contains 24

Mathematics
1 answer:
Marianna [84]2 years ago
6 0

Answer:

8 gallons per minute

Step-by-step explanation:

24 gallons in 3 minutes

you divide 24 by 3 which is 8

40 gallons in 5 minutes

you divide 40 by 5 which is 8

the relationship is that in both the answer was 8 as in 8 gallons per minute

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A square pyramid has base area 64 square centimeters. The surface area of this pyramid is 224 square centimeters. Find the heigh
dolphi86 [110]

Answer:

h \approx 12.7\,cm

Step-by-step explanation:

The side of the square base is:

l = \sqrt{64\,cm^{2}}

l = 8\,cm

The formula for the surface area of the pyramid is:

A_{s} = \frac{1}{2}\cdot (3\cdot l)\cdot \sqrt{0.25\cdot l^{2}+h^{2}} + l^{2}

The height is cleared in the previous expression:

A_{s} - l^{2} = \frac{3}{2}\cdot l\cdot \sqrt{0.25\cdot l^{2}+h^{2}}

\frac{2}{3}\cdot \frac{A_{s}-l^{2}}{l} = \sqrt{0.25\cdot l^{2} + h^{2}}

\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} = \frac{1}{4} \cdot l^{2} + h^{2}

h = \sqrt{\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} - \frac{1}{4}\cdot l^{2}}

h = \sqrt{\frac{4}{9}\cdot \left[\frac{224\,cm^{2}-(8\,cm)^{2}}{8\,cm}\right]^{2}-\frac{1}{4}\cdot (8\,cm)^{2} }

h \approx 12.7\,cm

6 0
3 years ago
What is the volume of a rectangular prism with the following dimensions
MAXImum [283]

The formula of finding volume is <em>l x w x h</em>.

So now just plug in the numbers they gave.

5 x 10 x 2 = 100.

The volume of the rectangular prism is 100 ft^3.

5 0
3 years ago
A 2-yard piece of string costs $5.04. What is the price per foot?
Nikitich [7]
The price per foot would be .84 cents, 1 yard equals 3 feet so 2 yards is 6 feet. if you take $5.04 and divide it by 6 then you get 0.84
4 0
3 years ago
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Based on the triangles, which statement is true?
AlladinOne [14]

The sum of interior angles of a triangle is 180°, and a linear pair is supplementary (adds to 180°). The appropriate choice is

... G. w = 105°, because ...

_____

In short, an exterior angle is equal to the sum of the opposite interior angles.

... w = 180 - (180 - (45 + 60)) = 180 -180 +45 +60

... w = 45 +60

4 0
3 years ago
What is 7/6 ÷ 4 in simplest form
serg [7]
\frac{7}{6} \div 4= \frac{7}{6} \times \frac{1}{4} = \frac{7\times 1}{6\times 4} = \frac{7}{24}

7/24 is your answer :)
7 0
3 years ago
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