Find the distance between (6, −2) and (1, −2).

Question 14 options:

5 units

6 units

7 units

4 units

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

Answer:

b) 8/40 = 1/5

The probability of the relative frequency for females in the age group 60-69 is 0.625.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

here we have to find the probability that a resident is female.

[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]

here the total number of females are=19+2+4

                                                              =25

and the total number of males=1+9+5

                                                   =15

Hence, the total number of people=25+15=40

So Probability=25/40

                      =0.625

Hence option D is correct.

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Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

Answer:

question 7: 280 and question 8: 86

Step-by-step explanation:

Answer:

1) 70

2) 82

Step-by-step explanation:

Answer:

14168

Step-by-step explanation:

15400 / 100 x 8 = 1232

1232 = 8%

15400 - 1232 = 14168

Answer:

A) Dilation  C)Reflections or B) Rotations

Step-by-step explanation:

Answer:

Answer:

She could use coupon deals, she could research what stores have it cheapest, see what deals online has

Answer:

Step-by-step explanation:

length² + width² = diagonal²

24² + width² = 40²

576 + width² = 1600

width² = 1600 - 576

width² = 1024

width = √1024 = √32*32

width = 32"

Width of the TV is more than 30"

Answer:

32

Step-by-step explanation:

First off, Bruh, 30" is not prime prime. That's 30 inches.

The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.

So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.

1600-576=1024.

So now, the root of 1024 is the base. Which is 32. Hope that helped.

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

Answer:

Negative skew; skewed right.

Step-by-step explanation:

It is a negative skew, because the peak of the graph is located towards the left (5- 9, respectively). The skewed is on the right, for the tail stretches out to the right of the graph (10-14 all the way to 25 - 29, respectively).

~

Answer:I believe it would be answer choice, 235 meters

Step-by-step explanation:

I’m not super good at explain but, the height and incline both go at the right slope when they interact. Have a good day, hope it helps.

The length of the pyramid's base would be:

C). 235 meters

Given that,

Height of the pyramid [tex]= 221[/tex]

Elevation/angle of the base [tex]= 62[/tex]°

Employing the trigonometric function,

Tan 62 [tex]= 221/[1/2 base][/tex]

⇒ Base [tex]= (2[/tex] × [tex]221)[/tex][tex]/Tan[/tex][tex]62[/tex]

[tex]= 2[/tex] × 221/[tex]1.88[/tex]

[tex]= 235.10[/tex]

Thus, option C is the correct answer.

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Answer:

Step-by-step explanation:

We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by

[tex](y-k)^2 = 4p(x-h)[/tex]

Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that

[tex]y^2 = 4px[/tex]

Answer:

y^2 = 4px

Step-by-step explanation:

edg 2021

Answer:

12 because if you add 6 and 12

Step-by-step explanation:

hope it helps uou !!

Answer:

It's 12

Step-by-step explanation:

hope it helps you !!

Answer:

M=25-3D

Step-by-step explanation:

Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.

Step-by-step explanation:

Total marbles = 25

Probability of white marble = 3/ 25 = 0.12

Answer:

The answer is B) G

Step-by-step explanation:

G is at the center of the triangle. It is a centroid because it is where all the medians meet.

First off, notice that this is a right triangle.

You can use this to help write equation.

Equation : x+ (4x-85)=90. The correct answer is "c"

Answer:ones

Step-by-step explanation:

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

Answer:

17.3

Step-by-step explanation:

(2+18)=(20mph*2miles)=6 minute

(18-2)=16mph*3miles=11.25

17.25

Answer:

Value of x = 25

Step-by-Step Explanation:

~ Knowing that, in a right triangle ~

sin(40-x)=cos(3x) ⇒

sin(40-x)=sin(90-3x) ⇒

40 - x = 90 - 3x ⇒

40 - x  +3x=90 - 3x  +3x =>

40+2x=90 =>

2x=50 =>

x = 25

Now it is proven to be that,

x = 25

Answer:

34

Step-by-step explanation:

There is the same opposite arch for both angles so they should be equal.

Hope this is helpful!

Answer:

5x (3-2x^2)

Step-by-step explanation:

so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.

The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].

The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

Given that,

Equation; [tex]\rm 15x - 10x^3[/tex]

We have to determine,

Factorize the equation and factor of the equation.

According to the question,

To factorize the equation and determine the factor of the equation following all the steps given below.

Equation; [tex]\rm 15x - 10x^3[/tex]

                   [tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]

                   [tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]

                    [tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]

                    [tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]

Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

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Answer:

a) 5c-3d

b) 2x+7y

c) 7g+3h

d) 1t-6r

hope this helps ;)

Answer:

a) 6c + 4d - c - 7d =  5c -3d

b) 3x + 5y - x + 2y =  2x + 7y

c) 3g + 5h + 4g - 2h =  7g + 3h

d) 8t + 3r - 7t - 9r = t - 6r

Step-by-step explanation:

combine like terms:

a) 6c + 4d - c - 7d =  5c -3d

b) 3x + 5y - x + 2y =  2x + 7y

c) 3g + 5h + 4g - 2h =  7g + 3h

d) 8t + 3r - 7t - 9r = t - 6r

Answer:

Step-by-step explanation:

No of cubes that can fit into rectangular prism =   Volume of rectangular prism

                                                                                   Volume of cube

Find the volume of rectangular prism and divide that by the volume of cube

Answer:

A - 29%

Step-by-step explanation:

Bianca's 1/5 would be converted to 20%

Chelsea's .26 would be 26%

Darnell's is 25%

Adding these together you get 71. To find the remaining votes that Francisco received you would..

Subtract

100 - 71 = 29%

Therefor, your answer is A.

If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.

Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%

Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,

100 - 71 = 29%

Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.

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Answer:

SAS

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

FOIL

8(n^2 +2n+4n+8) = 1144

Divide each side by 8

8/8(n^2 +2n+4n+8) = 1144/8

(n^2 +2n+4n+8) = 143

Combine like terms

n^2 +6n+8 = 143

Subtract 143 from each side

n^2 +6n+8 -143= 0

Combine like terms

n^2 +6n -135 =0

Factor

What two terms multiply to -135 and add to 6

-9*15 =-135

-9+15 = 6

(n-9) (n+15) =0

Using the zero product property

n-9 =0    n+15=0

n = 9   n=-15

The length cannot be negative so n = -15 cannot be  a solution

n =9

Answer:

n = 9

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

(n + 2)(n + 4) = 143

n² + 2n + 4n + 8 = 143

n² + 6n - 135 = 0

n² + 15n - 9n - 135 = 0

n(n + 15) - 9(n + 15) = 0

(n - 9)(n + 15) = 0

n = 9, -15

since n is a length, it can not be negative

Therefore the only solution is n = 9

Answer:

The loan was $28184.81

Step-by-step explanation:

Let the loan amount be x

Rate of interest on Loan = 9%

Time = 8 years

Amount of loan over 8 years = $56160

Formula : [tex]A=P(1+r)^t[/tex]

Where A = Amount =56160

P = Principal = x

r = rate of interest = 9% = 0.09

t = time = 8 years

Substitute the values in the formula :

So,[tex]56160=x(1+0.09)^8[/tex]

[tex]\frac{56160}{(1+0.09)^8}=x[/tex]

$28184.81=x

Hence The loan was $28184.81