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ioda
3 years ago
10

3. If the lateral surface area of a

Mathematics
2 answers:
azamat3 years ago
6 0

Step-by-step explanation:

natulia [17]3 years ago
3 0

Answer:

<em>I) R = 3 cm;</em>

<em>II) V = 14.3 cm³.</em>

Step-by-step explanation:

<em>I) C = 94.2 ÷ 5 = 18.84</em>

<em>A cylinder has a base with a circumference of 18.84cm.</em>

<em />R=\dfrac{C}{2\pi } =\dfrac{18.84}{2 \cdot 3.14} =\dfrac{18.84}{6.28} =3 \: (cm)<em />

<em />

<em>II) </em>V=\pi R^{2}H=3.14 \cdot 3^{2}  \cdot  5 = 141.3 \: (cm^{3})<em />

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If Lin runs 21 laps at the same rate (1.2 minutes per lap) how long does it take her?
Firlakuza [10]

Answer:

It takes her 25.2 mintes

Step-by-step explanation:

You can just multiply 21 by 1.2 because that's how long she takes per lap and you can get 25.2

8 0
3 years ago
Read 2 more answers
Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati
Helen [10]

Step 1.

Calculate measure of angle α:

47^o-38^o=9^o

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

\dfrac{9^o}{360^o}=\dfrac{1}{40}

Step 3.

Calculate the circumference of the Earth (circle):

C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi

Step 4.

The length of arc is equal 1/40 of the circumference:

\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi

\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi


<h3>Answer: A) 628 miles</h3>

7 0
4 years ago
5x+7y=10 into slope form
marysya [2.9K]
The answer is y=10/7-5/7x, subtract the 5x and put it on the other side then divide the 7 from the y and divide it to 10-5x to get the answer.
3 0
3 years ago
Solve for x in the equation 2x^2-4x-9=29
Andrews [41]

Answer:

x = 1  ±2sqrt(5)

Step-by-step explanation:

2x^2-4x-9=29

Add 9 to each each side

2x^2-4x-9+9=29+9

2x^2-4x=38

Divide by 2

2/2x^2-4/2x=38/8

x^2 -2x =19

Complete the square

x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2

x^2 -2x +1 = 19+1

(x-1)^1=2 = 20

Take the square root of each side

sqrt((x-1)^2) = ±sqrt(20)

x-1 =  ±sqrt(20)

Add 1 to each side

x-1+1 = 1  ±sqrt(20)

x = 1 ±sqrt(20)

Simplifying the square root of 20

x = 1  ±sqrt(4)sqrt(5)

x = 1  ±2sqrt(5)

3 0
4 years ago
Divide these polynomials. (8x³ + 2x² - 7x + 2) ÷ (2x - 1)
Novay_Z [31]

Answer:

The answer is letter A.

(8x³ + 2x² - 7x + 2) ÷ (2x - 1)

8x³ + 2x² - 7x + 2 ÷ 2x - 1

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cancel 2x-1 so that the answer is 4x²+3x-2.

6 0
3 years ago
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