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solmaris [256]
3 years ago
6

X(15-x)=50 quadratic equations

Mathematics
1 answer:
meriva3 years ago
3 0

Answer:

15x -  {x}^{2}  =50 \\  {x }^{2}  - 15x  + 50 = 0 \\  {x}^{2} - 10x - 5x + 50 = 0 \\ x(x - 10) - 2(x - 10) = 0 \\ (x - 2)(x - 10) = 0 \\ x = 2 \: and \: x = 10

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A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
Anton [14]

Answer:

Height of cylinder is \frac{4}{5}\ ft.

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

R = \dfrac{D}{2}

So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

V = \pi R^{2} H

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

V = \dfrac{36 \pi}{5} ft^{3}

Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

Hence, Height of cylinder is \frac{4}{5}\ ft.

7 0
3 years ago
Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days?
Alecsey [184]
The total amount is 0.75 inches or 3/4 inches.
7 0
3 years ago
PLEASE HELP ASAP!!!!!!!!! PLEASE
Elanso [62]
The given above is are triangles, as per the proof the line segments on top and bottom part are parallel. Also, it is given that two pairs of the angles of the triangles are congruent. 

The triangles also share one common side, CA. Since, this side is between the angles the postulate that will prove the congruence of the triangles is ASA. 

The answer to this item is the third choice. 
7 0
3 years ago
The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for pi.. Single choice.
Sonbull [250]

Answer:

379.94 mi²

Step-by-step explanation:

The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).

We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.

The equation now becomes

3.14(11²)

11 squared is 121.

3.14(121)

I recommend splitting the 121 into 100, 20, and 1.

(3.14 * 100) + (3.14 * 20) + (3.14 * 1)

Multiply 3.14 by 100, 20, and 1.

314 + 62.8 + 3.14

Add 314 and 62.8.

376.8 + 3.14

Add 376.8 and 3.14

379.94 mi² is the area of a circle with a 22-mile diameter.

6 0
3 years ago
Given the following exponential function, identify whether the change represents
Nookie1986 [14]

The percentage rate of increase is 36.2% and the exponential function represent the growth.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where 'a' is a constant and a>1

We have exponential function:

\rm y = 8900(1.362)^x

If we compare with

\rm y =a(1+r)^x

If 1+r > 1

1.362 > 1

So the growth rate r is

1 + r = 1.362

r = 0.362

r = 0.362×100

r = 36.2%

Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

4 0
2 years ago
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