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3 years ago

A pump can fill a 750 gallon tank in 35 minutes.how long will it take to fill 1200 gallons

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

7 0

Answer:

56 minutes

Step-by-step explanation:

use ratio to solve for x,

750 gal 1200 gal

______ = __________

35 min x

$\frac{750}{35}$ = $\frac{1200}{x}$

solve for x = (1200 * 34 )/750 = 56 min

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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What

ivann1987 [24]

Step-by-step explanation:

We have to find the measures of other two angles of triangle.

$\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}$

We know that,

The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

$\rule{200}{3}$

$\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}$

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

$\rule{200}{3}$

Second AnglE :

3x
3 × 10
30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

$\rule{200}{3}$

Third AnglE :

14x
14 × 10
140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0

3 years ago

Eli runs 2 miles on his first day of training for a road race. The next day, he increases his distance run by 0.25 miles. The da

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He will run 40.5 miles in 12 days

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3 years ago

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In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to

Anvisha [2.4K]

Answer:

5 + 3p ≥ 30

Step-by-step explanation:

"at least" means greater than are equal to. ≥

So we already know he has 5 points, but the other 3 rounds we don't. 5 + 3p

30 is the overall points he has.

5 + 3p ≥ 30

4 0

3 years ago

Find the Surface Area of the cylinder

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Answer:

the answer is D according to my scorrs

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3 years ago

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Find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30

Katarina [22]

Answer:

70 degrees

Step-by-step explanation:

x = angle

180 - x = it's supplement

90 - x = it's compliment

(180 - x) - 4(90 - x) = 30

180 - x - 360 + 4x = 30

reducing

3x = 210

x = 70

7 0

3 years ago