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denis23 [38]
3 years ago
7

Which is a factor of 10x - 20x2 - 2x + 4?

Mathematics
1 answer:
sveta [45]3 years ago
7 0
Add like terms and then simplify
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The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the
Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be 1.5r.

We will use lateral surface area of pyramid to solve our given problem.

LSA=2\pi r h, where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

LSA=2\pi r\cdot (1.5)r  

Now we will find the total surface area of cylinder.

TSA=2\pi r(r+h)

TSA=2\pi r(r+1.5r)

TSA=2\pi r(2.5r)

\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}

\frac{TSA}{LSA}=\frac{2.5r}{1.5r}

\frac{TSA}{LSA}=\frac{25}{15}

\frac{TSA}{LSA}=\frac{5}{3}

Therefore, the ratio of total surface area to lateral surface area is 5:3.

4 0
3 years ago
The length of 13 pink earasers lined up end to end is 29 1/4 inches. What would be the length of two earaser?
stepladder [879]
First you would want to find the length of one eraser and then multiply that by 2. To find the length of one you take the total length or all of them and divide it my the total number of them. 29 1/4 is 117/4.

(117/4) / 13 Dividing by something is the same as multiplying by the opposite.

117/4 × 1/13 = 117/52

Now you multiply by 2.

117/52 * 2/1 Cross simplify

117/26 * 1/1

117/26 inches or 4 1/2 inches.
7 0
3 years ago
Please help, thanks.
Svetllana [295]

\text{Apply Pythagorean theorem,}\\ \\~~~~~~12^2 = 3^2 + h^2\\\\\implies h^2 = 12^2 -3^2\\\\\implies h^2 = 144-9\\\\\implies h^2 = 135\\\\\implies h = \sqrt{135}\\\\\implies h = 3\sqrt{15}\\\\\implies h \approx 11.62

6 0
2 years ago
Read 2 more answers
A statue is 70 cm tall. when its shadow is 61 cm? long, the shadow of a certain tree is 22 m long. how tall is the? tree
Ann [662]
Ratio and Proportions
61:70=ratio of statue

?:22=61:70
?/22=61/70
Move 22 over the equal sign
?=61*22/70
?=1342/70
?=19.1714286 

The tree is 19.1714286m tall

Hope this helps!

8 0
3 years ago
There are a total of 84 students in the robotics club and the science club. The science club has 12 more students than the robot
Dafna11 [192]

Answer:

48 students in science

Step-by-step explanation:

Let r = students in robots club

s = students in science club

r+s = 84

s = r+12

Substitute the second equation into the first

r+(r+12) = 84

Combine like terms

2r+12 = 84

Subtract 12 from each side

2r = 84-12

2r = 72

Divide by 2

r = 72/2 = 36

We need to find s

s = r+12

s = 36+12

s = 48

There are 48 students in the science club

4 0
3 years ago
Read 2 more answers
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