A Crime scene investigator arrived at an auto accident to collect information. A car had hit a pedestrian sending a box he was carrying into the air. Luckily, the pedestrian was unharmed. In order to determine the speed the car was travelling at impact, the investigator needs to find out how high the box went into the air. Here aare the notes that he took from the scene. A 5 foot tall witness said that he saw the box fly up just above a tree next to where the accident happened. He was standing 25 feet from a tree. The angle of elevation as the witness looked up at the tree was 45. Determine the height of the tree, which will tell you the height the box flew into the air.

Answer:

1. AE= 312

2. AC = 161

Step-by-step explanation:

Hey there!

In order to solve the first question, we need to think of possible "C" values

Then after finding the "C" value, we can then find the "A" and "E" values

So:

AC = 24 and CE = 13

What factors do 24 and 13 have in common?

Well, only 1 since 13 is a prime number]

So this means that C has to be 1

Now we know that A is 24 and E is 13

Now we have to multiply them together

24 x 13 is 312

So AE= 312

Now we go on to the second question

We can use the same strategy we used for number one

Instead of finding what C is, we need to find out what E is, since there is E in both of the statements

So:

CE = 7 and AE = 23

What common factors do these two numbers have?

Again, only 1, meaning that E can only be 1

Now we know that C is 7 and A is 23

Since we know this, we can multiply these two numbers together and get our final answer: 161

So AC = 161

Answer:

Angle B is 155 degrees

Step-by-step explanation:

Vertical angles are congruent; they have the same angle measure.

[tex]m\angle{A} = 155 \cong m\angle{B} = 155[/tex]

2x²+5y²

= 2×(-4)²+5×3²

=2×16+5×9

= 32+45

=77

Answer:

He will need a total of 168.8 total gallons of oil.

He will need 34.4 gallons of oil for machine A.

He will need 134.4 gallons of oil for machine B.

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Step-by-step explanation:

first, let's bring them to the same exponent of 10.

8.5 × 10⁸ is already scientific notation

42 × 10⁷ = 4.2 × 10⁸ (this is now scientific notation AND it is using the same exponent of 10)

so, how many times is the first one greater ?

(8.5 × 10⁸) / (4.2 × 10⁸) = 8.5 / 4.2 = 2.023809524...

so, the first number is 2.023809524... times greater than the second number.

maybe you made a typo ?

maybe the second number was actually 42.5 × 10⁷ ?

because then

42.5 × 10⁷ = 4.25 × 10⁸

and

8.5 / 4.25 = 2

so,

8.5 × 10⁸ is 2 times greater than 42.5 × 10⁷ or 4.25 × 10⁸.

Answer:

56 units^2

Step-by-step explanation:

Area of a parallelogram = base length times height length

Base = 7 units
Height = 8 units

A = BH
A = 7x8

A = 56 units^2

The volume of the cube given the dimensions of the side length is [tex]64x^{6} + 144x^{4} + 108x^{2} + 27[/tex]

A cube is a 3-dimensional object that has six faces, twelve edges and eight vertices.

Volume of a cube = a³

Where a = length of a side

(4x² + 3) × (4x² + 3) = 16x^4 + 24x² + 9

(16x^4 + 24x² + 9) × (4x² + 3) = [tex]64x^{6} + 144x^{4} + 108x^{2} + 27[/tex]

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Quotient means we have to divide

Here

So

Divide

or

9/C

Answer:

[tex]\sf \dfrac{9}{C}[/tex]

Step-by-step explanation:

A quotient is produced by dividing two numbers.

"The quotient of a and b" means "a divided by b".  So the first number "a" is the numerator, and the second number "b" is the denominator of a fraction.

Therefore, "the quotient of 9 and C" is:

[tex]\sf \dfrac{9}{C}[/tex]

Answer:

see below

Step-by-step explanation:

Each person payed a specific amount, so you would divide the rental cost by the amount of people and get $38.75 per person

Answer:

3

Step-by-step explanation:

7a+3b=20

3a+7b=10

Substitution:

[tex]\begin{bmatrix}3\cdot \frac{20-3b}{7}+7b=10\end{bmatrix}[/tex]

[tex]a=\frac{20-3\cdot \frac{1}{4}}{7}[/tex]

[tex]a=\frac{11}{4},\:b=\frac{1}{4}[/tex]

11=4 + 1=4 = 12/4

12/4 = 3

The smallest value of k when the LCM(Lowest common factor) of 14 and

k is 140 is 10.

Factors are numbers or algebraic expressions that divide another number or expression evenly

From the question,

If 14 and k  is 140

⇒ (14×k) = 140

⇒ 14k = 140

⇒ k = 140/14

⇒ k = 10

Hence, the smallest value of k is 10.

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Answer:

0.23

Step-by-step explanation:

Was the answer on khan academy

Answer:

Discount

Step-by-step explanation:

A discount is a deduction from the original price of an item.

Answer:

y - 4 = 1/5(x-7)

Step-by-step explanation:

Find slope:

4-3 / 7-2

1 / 5

y - y1 = m(x-x1)

y - 4 = 1/5(x-7)

mark brainliest pls

Answer:

Square C is comprised of the areas of squares A and B

It proves that this triangle is a right triangle

By adding the areas of two perfect squares, A and B, square C can only be the sum. This proves the Pythagorean Theorem to be true, as the ratios to the sides, and therefore the equation, will remain fixed in any scalene right triangle.

Step-by-step explanation:

It doesn't really need further explanation

I like this question, though :)

Answer:

They just have to go, 'cause they don't know wack

Step-by-step explanation:

Answer:

We saw in the last video that when you multiply or you divide numbers, or (I guess I should say when you multiply or divide measurements) your result can only have as many significant digits as the thing with the smallest significant digits you ended up multiplying and dividing. So just as a quick example, if I have 2.00 times (I don't know) 3.5 my answer over here can only have 2 significant digits This has 2 significant digits, this has 3. 2 times 3.5 is 7, and we can get

Answer:

The school will have 535 books.

Step-by-step explanation:

12 books a month * 5 months = 60 additional books.

60 + 475 = 535 books.

Answer:

535

Step-by-step explanation:

12*5 = 60

475 + 60 = 535

\HOPE THIS HELPS

Hi Student!

Looking at this problem, it is pretty straight forward and we don't need to do much information gathering to help answer our question.  The main point is that we just need to solve the equation also known as solving for the unknown variable.

Subtract 2 from both sides

Divide both sides by 5

Therefore, our final solution to this problem is that x is equal to 4/5 or we can convert this to a decimal to which we will then get 0.8.

Answer:

The answer would be B or 2

Step-by-step explanation:

Answer:

model 2 or B

Step-by-step explanation:

Answer:

I and II

Step-by-step explanation:

In a 'linear function,' the exponents of x and y are both 1.  

This characteristic is found in both I and II but not in III (which is a quadratic function).

Answer:

110687192.78951, 6488.47368421, 4214, 0.0464, 0.03626

SIMPLIFIED WAY OF SAYING IT:

Last One to First Box

3rd One to 2nd Box

1st one to 3rd box

2nd one to 4th box

4th one to 5th box

Step-by-step explanation:

(4.3*10^(6))*(9.8*10^(-4)) = 4,214

(2.9*10^7)*(1.6*10^-9) = 0.0464

(4.7*10^3)*(8.6*10^-7)/(3.8*10^-4)*(6.1*10^2) = 6488.47368421

(4.9*10^3)*(7.4*10^-6) = 0.03626

Last one = 110687192.78951

Answer:

Radius = 10

Step-by-step explanation:

Volume of a cylinder=πr^2h

1600πcm^3=πxr^2x16

π cancels out

1600=r^2x16

1600/16=r^2

100=r^2

√100=r

r=10

Answer:

45

Step-by-step explanation:

We know that B is 90 because its a right angle, and in that triangle it has to add up to 180

So 180 - 90 = 90

90 ÷ 2 = 45

And thats a right angled triangle so it has a right angle and two equal angles.

Hope it helps :))

Answer:

Exponential growth

From the z table the critical value corresponding to the level of significance level for a two-tailed test is z = 1.64.

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test.

The hypothesis which we put against the null hypothesis is an alternate hypothesis.

The null hypothesis is the one that researchers try to disprove.

From the question, we are told that

The number of observations is greater than 50  i.e. n > 50

The  level of significance is  [tex]\alpha = 0.1[/tex]

Generally given that n >  30  then we will make use of the z table

So From the z table the critical value corresponding to the level of significance level for a two-tailed test is z = 1.64.

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What you need to write in each blank is:

1) positive x-axis.

2) negative x-axis.

3) positive y-axis.

To plot a point (R, θ) on the polar plane. First, if R is positive the angle is measured from the positive x-axis, if R is negative, the angle is measured from the negative x-axis.

Because here R is 4, positive, the point will lie on the x-axis. Then, she needs to move it clockwise by an angle of (3/2)pi (a total of 3 quadrants) This means that the point will end up in the positive y-axis.

So what you need to write in each blank is:

1) positive x-axis.

2) negative x-axis.

3) positive y-axis.

If you want to learn more about polar coordinates:

https://brainly.com/question/14965899

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