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ipn [44]
3 years ago
9

Share 45 in the ratio 1:2.

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0
1+2 = 3
45/3 = 15
15x1 = 15
15x2 = 30
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Complete the square and put this function in vertex form: f(x)=x^2+20x+97
Fofino [41]

Answer:

Step-by-step explanation:

f(x)=(x²+20x+100) -3  because : 97 = 100 -  3

f(x) = (x+10)² -3 ....vertex form

3 0
3 years ago
Joanne has a cylindrical, above ground pool. the depth (height) of the pool is 1/2 of its radius, and the volume is 1570 cubic f
diamong [38]

Answer:

314 ft²

Step-by-step explanation:

Data provided in the question:

Depth (height) of the pool = \frac{1}{2} of its radius

let the radius be 'r' ft

thus,

Depth (height) of the pool, h = \frac{r}{2} ft

Volume of the pool = 1570 ft³

also,

Volume of cylinder = πr²h

thus,

1570 ft³ = πr²h

or

1570 ft³ = \pi r^2(\frac{r}{2})

or

3140 = 3.14 × r³                     [ π = 3.14 ]

or

r³ = 1000 ft³

or

r = 10 ft

Thus,

Area of the bottom surface = πr²

= 3.14 × 10²

= 314 ft²

5 0
3 years ago
Geometry
SSSSS [86.1K]
Sorry man, don’t know it, hopefully you get someone who knows
7 0
3 years ago
Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the
melisa1 [442]

Answer:

C) 1/6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We have 8 + 10 + 4 + 2 = 24 coins

Of those, 4 are nickels. So

p = \frac{4}{24} = \frac{1}{6}

The correct option is given by option C.

3 0
3 years ago
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mash [69]
Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
Area= \frac{5}{2} x\times2.8=7x

Therefore, the volume of the prism is given by
Volume=7x(2x+1)=14x^2+7x
5 0
3 years ago
Read 2 more answers
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