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il63 [147K]
3 years ago
8

For the first four months of the year , rain fell as follows : 2 1/2 inches , 3 1/4 inched , 1 1/8 inches and 1 1/2 inches . Wha

t was the total rainfall for these four months ?
Mathematics
1 answer:
RSB [31]3 years ago
4 0
8 3/8 would be the answer because first off you would have to find the 8th of the 1/2 and 1/4. Then after you get all of them then you would add them together which would be 8 3/8.
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13.   There are 45 employees who each put in 97 hours on a project. What are the total number of hours worked on the project?
Tcecarenko [31]
You would do 45 x 97 which equals 4365
7 0
3 years ago
A golfball is hit from the ground with an initial velocity of 200 ft/sec. The horizontal distance that the golfball will travel,
algol13

Answer:

The golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of \pi/4.

Step-by-step explanation:

The formula from the maximum distance of a projectile with initial height h=0, is:

d(\theta)=\frac{v_i^2sin(2\theta)}{g}

Where v_i is the initial velocity.

In the closed interval method, the first step is to find the values of the function in the critical points in the interval which is [0, \pi/2]. The critical  points of the function are those who make d'(\theta)=0:

d(\theta)=\frac{v_i^2\sin(2\theta)}{g}\\d'(\theta)=\frac{v_i^2\cos(2\theta)}{g}*(2)\\d'(\theta)=\frac{2v_i^2\cos(2\theta)}{g}

d'(\theta)=0\\\frac{2v_i^2\cos(2\theta)}{g}=0\\\cos(2\theta)=0\\2\theta=\pi/2,3\pi/2,5\pi/2,...\\\theta=\pi/4,3\pi/4,5\pi/4,...

The critical value inside the interval is \pi/4.

d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\d(\pi/4)=\frac{v_i^2sin(2(\pi/4))}{g}\\d(\pi/4)=\frac{v_i^2sin(\pi/2)}{g}\\d(\pi/4)=\frac{v_i^2(1)}{g}\\d(\pi/4)=\frac{(200)^2}{32}\\d(\pi/4)=\frac{40000}{32}\\d(\pi/4)=1250ft

The second step is to find the values of the function at the endpoints of the interval:

d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\\theta=0\\d(0)=\frac{v_i^2sin(2(0))}{g}\\d(0)=\frac{v_i^2(0)}{g}=0ft\\\theta=\pi/2\\d(\pi/2)=\frac{v_i^2sin(2(\pi/2))}{g}\\d(\pi/2)=\frac{v_i^2sin(\pi)}{g}\\d(\pi/2)=\frac{v_i^2(0)}{g}=0ft

The biggest value of f is gived by \pi/4, therefore \pi/4 is the absolute maximum.

In the context of the problem, the golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of \pi/4.

4 0
3 years ago
Solve this question. a/7-3<0
valkas [14]

Answer:

\boxed{\sf{a

Step-by-step explanation:

You only need to isolate the term a to solve this problem.

Add by 3 from both sides.

\sf{\dfrac{a}{7}-3+3

Solve.

0+3=3

a/7<3

Multiply by 7 from both sides.

\sf{\dfrac{7a}{7}

Solve.

3*7=21

<u>a<21</u>

As a result, the solution is a<21, which is our answer.

7 0
2 years ago
Kenji earned the test scores below in English class.
lutik1710 [3]

Answer:

mean=87

median=87

Step-by-step explanation:

mean=sum of test score/number of subject

mean=79+91+93+85+86+88/6

mean=522/6

mean=87

Literal meaning of median is medium.

To find the number which lies in the medium, we must rearrange the number in ascending.

79, 91, 93, 85, 86, 88

79, 85, 86, 88, 91, 93

86+88/2=87

Hope this helps ;) ❤❤❤

Let me know if there is an error in my answer.

7 0
3 years ago
What is the slope? I will give brainliest
IgorC [24]

Answer:

The rise over run is -1/2

Step-by-step explanation:

6 0
2 years ago
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