A person that is 5 ft tall that casts a shadow of 4 ft is standing next to a tree that is 9 ft tall. How much of a shadow will it cast?

Answer:

9/16 yd^2

Step-by-step explanation:

2 1/4 as an improper fraction is 9/4, 9/4 * 1/4 = 9/16, and since you are multiplying two yards, thats yard^2, so 9/16 yd^2

The sample was 10 numbers.

4 of the numbers are less than 301.

So 4 out of 10 would be defective.

4/10 = 0.4 x 100 = 40%

He would expect 40% to be defective.

Answer:

86 i think

Step-by-step explanation:

Answer:

4.35 miles if rounded 4.5 miles

Step-by-step explanation:

7 divided by 1.609 sums up to 4.35052

Answer:

D.8

Step-by-step explanation:

Since your chance of success is only 1 out of 5 or rather, 20%, so

40 divided by 5 equals 8, so the answer is D.

(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)

Expected number of answers to be correct = 8.

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Number of questions = 40

One of 5 choices is correct

then, probability of getting correct option = 1/5

Number of correct answers = 40 × 1/5 = 8

Hence, 8 answers are expected to be correct.

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Answer:

y = 4x - 7

Step-by-step explanation:

Slope = 4 ; x1 = 2 , y1 = 1

Slope point form: y -y1 = m(x -x1)

y - 1 = 4(x - 2)

y - 1 = 4x - 2*4

y -1 = 4x - 8

   y = 4x - 8 +1

  y = 4x - 7

Answer:

m > 21

Step-by-step explanation:

Given the inequality expression

2/3m + 3 < m - 4

Multiply through by 3

2/3 m * 3 + 3(3) < 3(m-4)

2m+9 < 3m-12

Collect the like terms

2m - 3m < -12 - 9

-m < -21

Multiply through by -1

-1(-m)>-1(-21)

m > 21

Hence the required solution is m > 21

Answer:

2.3718759×10^9

Step-by-step explanation:

Its the answer

Answer:

2.371875908 × 109 is ur answer.

Step-by-step explanation:

hope this helps!

~mina

Answer:

D.) 400

Step-by-step explanation:

I started by adding all the votes together

4+4+17+21=46

I then rounded 46 up to 50 to make the next step easier

I divided 5000 by 50 and got 100.

With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)

4*100=400

4*100=400

17*100=1700

21*100=2100

Now Ben has 2100 votes while Scott has 1700

Subtract 1700 from 2100 and you get 400

So Ben is expected to get approx. 400 more votes than Scott.

Hope I helped!! Maybe Brainliest answer?

The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.

With m + m + m you are adding it 3 times.

So instead multiply m by 3:

The answer is 3m

Answer:

In the Question the concept used is the algebra

We know that

[tex] \sf \: x \times x = {x}^{2} [/tex]

and

[tex] \sf \: x + x = 2x[/tex]

Similarly

[tex] \sf \: m + m + m = 3m[/tex]

The method is also known as property of addition in algebra

Answer:

128 :)

Step-by-step explanation:

The area of the given triangle in the figure is 64 ft.².

A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.

Given that

The height of the given triangle is 16 ft. and the length of the base is 16 ft.

As it is known that the area of a triangle is defined as

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]

So,

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]

Thus, the area of the given triangle is 64 ft.².

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9514 1404 393

Answer:

  x ≤ -14

Step-by-step explanation:

We assume you want to solve ...

  x/(-7) +14 ≥ 16

Subtract 14, then multiply by -7.

  x/(-7) ≥ 2 . . . . subtract 14

  x ≤ -14 . . . . . . multiplying by a negative number reverses the inequality

The solution is shown on the number line below.

Answer:

Infinitely many solutions.

Step-by-step explanation:

The given system of equations are :

3x+y=-5 ...(1)

3y+15=-9x

y+5 = -3x

or

3x+y = -5 ....(2)

Here, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

It means, two lines are coincident. It means they have infinitely many solutions.

Answer:

gay

Step-by-step explanation:

Answer:

Its 32

Step-by-step explanation:

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

Answer:

two dollars

Step-by-step explanation:

12-8=4/2=2

Answer:

3sqrt3 cm

Step-by-step explanation:

6^2-3^2

36-9=27

sqrt27 = 3sqrt3

Answer:

c. 3 square root ( 3 ) cm

Step-by-step explanation:

C^2 = A^2 + B^2

A^2 = C^2 - B^2

= 6^2 - 3^2

= 36 - 9

A^2 = 27

A = 3√3 cm

Answer:

Step-by-step explanation:

I hope it helped you

Step-by-step explanation:

5x² - 8x + 2 + x² - 6x +3

= 6x²- 14x + 5

Answer: C) 1/a^12•b^8

Step-by-step explanation:

Answer:

38 pound

STEP  BY STEP

Answer:

6$

Step-by-step explanation:

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Hope its correct

Answer:

Step-by-step explanation:

AB and DC are parallel, so ∠B and ∠C are supplementary angles.

∠B = 180°-∠C = 79°

AD and BC are congruent. ∠A = ∠B = 79°

9514 1404 393

Answer:

  sin(D) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(D) = FE/DF

  sin(D) = 4/5

Answer:

[tex]12.7[/tex]

Step-by-step explanation:

[tex]180 - 167.3 = 12.7 \\ < angle \: on\: a \: stright \: line \: is \: 180[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

Answer:

52

Step-by-step explanation:

Ok, so first, we should find the fraction and turn that into a decimal. Do this by dividing the numerator by the denominator.

17/83 = 0.2048192771.

Now, we simply multiply our decimal by the new amount of people.

0.2048192771 x 250 = 51.2048192771.

Lastly, we should round our number up, as you can't possibly have a fraction of a person.

Our final answer is that roughly 52 people will be choosing fish, according to this sample

Answer:

The median is 6.

Step-by-step explanation:

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:  58 .23

Step-by-step explanation:

Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is

a 45% chance they'll win.