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Eddi Din [679]
3 years ago
11

It is found that 5 out of every 8 college students like algebra. If a certain college has 4,000 students, how many of them like

algebra?
Mathematics
2 answers:
EastWind [94]3 years ago
5 0
To solve this you put it into a ratio
the number of students that like it will go on top and the total college students will be on bottom
5/8
if a college has a total of 4000 students, that will go on bottom and x will be on top
x/4000
to solve for x you would multiply 5 by 4000, and then divide by 8
this would give you x=2500
solniwko [45]3 years ago
3 0
5 out of 8 turned into a fraction is 5/8. 5/8 turned into a percentage is 62.5%. 62.5% of 4,000 is 2,500. 2,500 students in the college like algebra.
Hope this helped.
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3 years ago
the ratio of an equal side of an isosceles triangle to it's base is 3:4 and it's perimeter is 60 cm. find its area.​
Ann [662]

Answer:

160.10 (2 dp.)

Step-by-step explanation:

So when you have ratio questions, similar to this one, you should always add up the parts.

This question actually involves many steps.

We are trying to find the length of all the sides first, we already know that the 3 sides add up to 60cm.

The triangle is made up of 3:3:4, as it has two equal sides and one base. The total parts is 3 + 3 + 4 = 10.

To find how much one part is. we divide the perimeter by the total parts

60/10 = 6

If one part equals 6, then we just multiply by the number of parts to find the entire length, this means that the sides equal 6 x 3 = 18 and the base is

6 x 4 = 24.

Now, we need to find the height in order to find the area of the triangle, to find the height we will be using Pythagoras theorem.

Pythagoras theorem states that a^2 + b^2 = c^2

If we split the triangle in half down the middle, we have a right angle triangle, we know the length of hypotenuse and one side.

The hypotenuse would be one of the equal sides of the isosceles triangle, which is 18cm, and the other side would be half of the base which is 24/2 = 12cm , as we are splitting the isosceles triangle down the middle.

Now we can use the theorem to find the height:

a = height

b = 12

c = 18

Formula:

h^2 + 12^2 = 18^2

rearrange and simplify:

18^2 - 12^2 = h^2

324 - 144 = h^2

180 = h^2

h = root 180 (we will leave this as a surd as it is not a perfect square)

Now that we know the height we can find the area, the formula of a triangle is half x base x height:

1/2 x 24 x root 180

= 160.10 (2 dp.)

Hope this helps,

Cate

5 0
2 years ago
tickets to a production of a midsummer night's dream at broward college cost $5 for general admission or $4 with a student ID. I
Elena-2011 [213]

Answer:

76 *5 = 380 $

184 - 76 = 108

108 * 4 = 432

432 + 380 = 812

Step-by-step explanation:

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3 years ago
35 344 minus 17 943 is 17 401 but to show the sum in how to get 17 401 is hard. In calculating I keep getting 22 601. please hel
bezimeni [28]
Well umm check calculator again maybe you did a mistake in typing one of the numbers
8 0
3 years ago
Answer pleaseee :)))
Mrac [35]

Answer:

m∠XYZ=106°, m∠XWY = 53°

Step-by-step explanation:

XYZ is a central angle, its arc is XY = 106°. so m∠XYZ = mXY=106°

XWY is an inscribed angle, its arc XY = 106°, so m∠XWY =1/2 mXY=1/2*106=

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4 0
3 years ago
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