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2 years ago

If 110% of a number is 528, then the number is:

Mathematics

2 answers:

kolezko [41]2 years ago

8 0

Answer:

Step-by-step explanation:

the original number represents 100%

divide 528 by 110 to find the value of 1% then multiply by 100 for number

528 ÷ 110 = 4.8 , then

number = 100 × 4.8 = 480

Anuta_ua [19.1K]2 years ago

6 0

Answer:

c) 480

Step-by-step explanation:

Any percentage can be converted to a number ratio by dividing by 100%.

E.g. 100%/100% = 1

Following this concept, we can find the equivalent of 110% :

110%/100% = 1.1

Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1

528/1.1 = 480

Hope this helped!

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2 years ago

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Sveta_85 [38]

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

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Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

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Step-by-step explanation:

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2 years ago

Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein

Bad White [126]

Answer:

The rate at which water is being pumped into the tank is 13,913.27 cubic centimetre per minute

Step-by-step explanation:

Given that, the height of the conical tank is 13 meters and diameter is 3 meters.

Radius = $\frac32$ meters

$\therefore \frac{radius }{height}=\frac {\frac{3}{2}}{13}$

$\Rightarrow \frac{radius }{height}=\frac {3}{26}$

$\Rightarrow radius=\frac {3}{26}\times height$ ......(1)

The volume of the cone is $V=\frac13 \pi r^2 h$

Now putting $r=\frac{3}{26} h$

$V=\frac13 \pi (\frac3{26}h)^2 h$

$\Rightarrow V=\frac{3}{676} \pi h^3$

Differentiating with respect to t

$\frac{dV}{dt}=\frac{3}{676}\pi .3h^2 \frac{dh}{dt}$

$\Rightarrow \frac{dV}{dt}=\frac{9}{676}\pi h^2 \frac{dh}{dt}$

Given that, the water level is rising at a rate of 17 cm per minute when the height 1 meter= 100 cm .i.e $\frac{dh}{dt}=17$ cm/min

Putting $\frac{dh}{dt}=17$

$\frac{dV}{dt}=\frac{9}{676}\pi h^2 \times 17$

$\frac{dV}{dt}|_{h=100}=\frac{9}{676}\pi (100)^2 \times 17$

≈7,113 cubic centimetre per minute

The volume of water increases 7,113 cubic centimetre per minute while 6,800 cubic centimetre per minute is leaking out.

It means the required rate at which water is being pumped into the tank is

=(7,113+6,800)cubic centimetre per minute

=13,913 cubic centimetre per minute

4 0

3 years ago

The circumference of a circle is 19 pi meters. What is the radius in meters?

Sliva [168]

Answer:

<h3>Area of a circle in terms of radius:</h3>

Area = π·r^2 = 3.14·9.5^2 = 283.5 square meters(*)

Area of a circle in terms of diameter:

Area = π·(d/2)^2 = 3.14·(19/2)^2 = 3.14·(9.5)^2 = 283.5 square meters(*)

Area of a circle in terms of circumference:

Area = C^2/4π = 59.69^2/4π = 3562.9/(4·3.14) = 3562.9/12.56 = 283.5 square meters(*)

(*) 283.52873698648 meters, exactly or limited to the precision of this calculator (13 decimal places).

Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Step-by-step explanation:

Hope it is helpful....

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2 years ago