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3 years ago

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Mathematics

1 answer:

grin007 [14]3 years ago

4 0

I believe the volume of the shape is 210mm. the formula is v=lwh. so you multiply all the numbers to get 210. hope that helped!

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Calculate the angle of depression, x, if the boat is 850 ft. away from the lighthouse and the lighthouse is 250 ft. high. Round

trapecia [35]

Firstly , we can draw diagram

we can see that

adjacent = 850

opposite =250

so, we can use tan formula

$tan(x)=\frac{250}{850}$

$x=tan^{-1}(\frac{250}{850})$

16.38

$x=16.38$

so,

angle of depression is 16.38 degree........Answer

6 0

3 years ago

What is 37 more than t

AleksAgata [21]

37 more than t would simply be defined as $t+37$

That's all!

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=Simplify%5C%3Beach%5C%3Bof%5C%3Bthe%5C%3Bfollowing%5C%3Bequations%5C%3Bfor%5C%3B50%5C%3Bpoints

jekas [21]

Answer:

y= -12
x = 7
q = -1
x = 24

Step-by-step explanation:

1. ..............................................

6(y + 7) = 2(y - 3)
6y + 42 = 2y - 6
6y - 2y = -6 - 42
4y = -48
y = -12

2...............................................

3x + 2(x - 5) = 25
3x + 2x - 10 = 25
5x = 25 + 10
5x = 35
x = 7

3 . ..............................................

10q + 3q + 5 = 2(q - 3)
13q + 5 = 2q - 6
13q - 2q = -6 - 5
11q = -11
q = -1

4. ..............................................

1/3(x + 6) = 2/3(x - 9)
3*1/3(x+6) = 3*2/3(x - 9)
x + 6 = 2(x - 9)
x + 6 = 2x - 18
2x - x = 6 + 18
x = 24

3 0

3 years ago

Read 2 more answers

Your company is considering submitting a bid on a major project. You determine that the expected completion time is 130 weeks an

Olenka [21]

Answer:

Option C) 146.5

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 130 weeks

Standard Deviation, σ = 10 weeks

We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X<x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 130}{10})=0.95$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 130}{10} = 1.645\\x = 146.45 \approx 146.5$

The project should be completed in 146.5 weeks or less.

Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.

7 0

3 years ago

Which is not an equation of the line going through (3,6) and (1, -2)?

frosja888 [35]

Step-by-step explanation:

Answer is B but what kind of question is this? You don't even have to find the equation just find which one is different from the others.

A) y+2 = 4x-4

y = 4x-6

B)y-2 = 4x+4

y= 4x+6

C)y = 4x-6 (same with A )

D)y-6 = 4x-12

y= 4x-6 (Same with A and C)

So b is the different one.

3 0

3 years ago

Read 2 more answers