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2 years ago

What is the area of the following circle?

Mathematics

1 answer:

alukav5142 [94]2 years ago

8 0

Answer:

3.14

Step-by-step explanation:

area of circle = pi * radius^2

3.14 * (1^2) = 3.14 * 1 = 3.14

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9 (1/3)^n-1 what is the tenth term

NARA [144]

Answer:

$a_{10}=\frac{1}{2187}$

Step-by-step explanation:

Simply plug in 10 for <em>n</em>

9(1/3)¹⁰⁻¹

9(1/3)⁹

9(1/19683)

9/19683

$a_{10}=\frac{1}{2187}$

7 0

3 years ago

The length of RT is 4x-4.Given that point S is between point R and T,

Monica [59]

Answer:

RS = 32

Step-by-step explanation:

Set-up equation like this -- 2x+6+16=4x-4

Solve for x

Then plug x in for the length of RS. You should get 32 for RS.

7 0

3 years ago

The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many se

Masja [62]

Answer:

6.64 seconds

Step-by-step explanation:

Given that:

Distance between roof of the terminal and ground = 709 feet

A bucket was dropped from the roof.

To find:

The time taken by the bucket to hit the ground?

Solution:

Distance traveled, $s$ = 709 feet

Initial velocity of the bucket, $u$ = 0 feet/sec (because initially it was at rest)

Acceleration of the bucket will be equal to acceleration due to gravity i.e.

$g$ or 32.1741 $ft/sec^{2}$

Let the time taken is $t$ seconds.

Formula for distance is given as:

$s = ut+\dfrac{1}{2}at^2$

Putting all the values:

$709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}$

6 0

2 years ago

Substitute r=3 and h=5 into the formula V=piR^2h then evaluate

nikitadnepr [17]

To evaluate when plugging in numerical values for variables, simply put the numerical values in the place of the corresponding variables:

$V = \pi \cdot 3^2 \cdot 5$

$\boxed{V = 45\pi \approx 141.37}$

4 0

3 years ago

Read 2 more answers

On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot

poizon [28]

<h3>Answer: 0.47178 Step-by-step explanation: Find the probability for each p(X=x) up to 5 using the equation: (x-1)C(r-1)*p^r * q^x-r, where x is number of days, p = .3 (prob of rain). q=.7 (prob of not rain), and r=2 (second day of rain). also C means choose. So p(X=1) = 0 p(X=2) = 1C1 * .3^2 * .7^0 = .09 P(X=3) = 2C1 * .3^2 * .7^1 = .126 P(X=4) = 3C1 * .3^2 * .7^2 = .1323 P(X=5) = 4C1 * .3^2 * .7^3 = .12348 Then add all of them up 0+.09+.126+.1323+.12348 = .47178</h3>

3 0

2 years ago