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3 years ago

A town's yearly snowfall in inches over a 10-year period is recorded in this table. What is the mean of the snowfall amounts?

Mathematics

1 answer:

lawyer [7]3 years ago

4 0

So to find the mean you add them all together and divide by the number of numbers there is so 11+15+19+17+23+20+17+18+21=174 and there are 10 numbers so it would be 174/10 which is 17.4 so you answer is 17.4

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A ball is kicked in the air. The height of the ball can be calculated using the equation h(t) =-16t^2+64t+190, where h is in hei

gregori [183]

Answer:

Therefore the ball strikes the ground 5.98 s after kick.

Step-by-step explanation:

Given that , a ball is kicked in the air. The height of the ball can be calculated using the equation $h(t)=-16t^2+64t+190$ where h is height in feet and t is time in second.

When the ball touches the ground then the height will be zero.

i.e h(t)=0

Therefore

$-16t^2+64t+190=0$

$\Rightarrow -2(8t^2-32t-95)=0$

Since -2≠0 then $(8t^2-32t-95)=0$

$(8t^2-32t-95)=0$

[The solution of a quadratic equation ax²+bx+c=0 is

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$ here a=8, b=-32 and c=-95]

$\Rightarrow t =\frac{-(-32)\pm\sqrt{(-32)^2-[4\times8\times(-95)]} }{2\times8}$

$\Rightarrow t =\frac{32\pm\sqrt{4064} }{16}$

Therefore t= 5.98 or -1.98

since time can not be negative So , t=5.98 s

Therefore the ball strikes the ground 5.98 s after kick.

5 0

3 years ago

7.75 in expanded form

Elina [12.6K]

Answer: 7+0.7+0.05

Since 7 is in the ones place it goes in front of the decimal. .7 is in the tenth place because it's behind the decimal. .05 is also behind the decimal so it's in the hundredths place.

4 0

3 years ago

If the value of y varies directly with x when y=50, x=4. What is the value of y when x=2

den301095 [7]

Answer:

Step-by-step explanation:

The general equation for a direct variation is y = k*x

So your first step (usually) is to find k

y = k x

when x = 4

then y = 50

y = k*x
50 = k * 4 Divide by 4
50 / 4 = k*4/4
12.5 = k

Now you can find the value of y when x = 2

y = k*x
k = 12.5
x = 2
y = ?

y = 12.5 * 2

y = 25

8 0

3 years ago

Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.

Darina [25.2K]

Answer:

$\cos( \theta) = \frac{5}{8} \\ {8}^{2} = {5}^{2} + {opp}^{2} \\ {opp}^{2} = 64 - 25 = 39 \\ opp = \sqrt{39} \\ \sin(\theta) = \frac{\sqrt{39}}{8} \\ \tan(\theta) = \frac{ \sqrt{39} }{5} \\ \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{1}{\frac{ \sqrt{39} }{5}} \\ \cot(\theta) = \frac{5}{ \sqrt{39} } \\ \csc( \theta) = \frac{1}{\sin(\theta)} = \frac{1}{\frac{\sqrt{39}}{8}} \\ \csc( \theta) = \frac{8}{ \sqrt{39} } \\ \sec( \theta) = \frac{1}{\cos( \theta) } = \frac{1}{ \frac{5}{8} } \\ \sec( \theta) = \frac{8}{5}$

5 0

2 years ago

Write each improper fraction as a mixed number. 9/4. 8/3. 23/6. 11/2. 17/5. 15/8. 33/10. 29/12.

yanalaym [24]

Aloha~! My name is Zalgo and I am here to provide a bit more knowledge to you today. The following Improper Fractions have been changed into Mixed Numbers (and also into decimals because I like Math :3):

9/4 - 2.25 - 2 4/1
8/3 - 2.67 - 2 2/3
23/6 - 3.83 - 3 5/6
11/2 - 5.5 - 5 1/2
17/5 - 3.4 - 3 2/5
15/8 - 1.875 - 1 7/8
33/10 - 3.3 - 3 3/10
29/12 - 2.416 - 2 5/12

I hope that this info helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Mahalo~! XP)

7 0

3 years ago

Read 2 more answers