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Using the Pythagorean Theorem, it is found that the group will have to travel 90 miles.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem:

[tex]d^2 = 25^2 + 60^2[/tex]

[tex]d = \sqrt{25^2 + 60^2}[/tex]

d = 65.

The total distance is given by:

Td = 25 + 65 = 90 miles.

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Answer:

IM FROM THE FUTURE :3

Step-by-step explanation:

the answer is -6 8-

i think 3:

25

hope it helps...!!!!

The probability that the company will have to pay at least $150,000 in benefits next year is 0.047 if the there are 120 women.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

The probability of dying:

P(dying) = 1/150

P(living) = 1 - P(dying) = 1 - 1/150 = 140/150

There are 120 women.

P(x≥3) = 1 - [P(x=0) +P(x=1) + P(x=2)]

[tex]\rm P(x\geq 3)=1-[(120 \ choose \ 0)(1/150)^0)((149/150)^{120})+[/tex]  

                  [tex]\rm (120 \ choose \ 1) ((1/150)^1) ((149/150)^{119}) +[/tex]

                  [tex]\rm (120 \ choose \ 2)((1/150)^2)((149/150)^{118})][/tex]

P(x≥3) = 0.047

Thus, the probability that the company will have to pay at least $150,000 in benefits next year is 0.047 if the there are 120 women.

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Answer:

the answer of the perimeter is B

Answer:

It takes 3 hours for the train to be 600 Miles apart

Answer: 540 nearest hundred is 500

Step-by-step explanation:

I multiplyed them together to get the answer.

Answer:

4834.9

Step-by-step explanation:

1) Split the Figure into a Cone and a Cylinder

2) Cylinder Formula V=πr²h And Cone  V=1/3hπr²

3) π[tex]9^{2}[/tex]15 + 1/2(12)π([tex]9^{2}[/tex])

4) 3817.04+1017.88

5) 4834.9

Answer:

a) decay

b) 2,950,000

c) 0.025

d) [tex]f(x)=2950000(0.975)^x[/tex]

e) 2,409,123

Step-by-step explanation:

Part (a)

Exponential DECAY, since the population was decreasing annually.

Part (b)

Initial amount = 2,950,000 people (in the year 2000)

Part (c)

Decay factor = 2.5% = 0.025 (in decimal form)

Part (d)

General form of exponential decay function:

[tex]f(x)=a(1-r)^x[/tex]

where:

Given:

[tex]\implies f(x)=2950000(1-0.025)^x[/tex]

[tex]\implies f(x)=2950000(0.975)^x[/tex]

Part (e)

To determine the city's population in 2008:

[tex]x = 2008 - 2000 = 8[/tex]

[tex]\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}[/tex]

Answer:

2/15

Step-by-step explanation:

there are only 2 numbers which are multiples of 6, which are both 6 and 12. That means it would be a 2/15 probability. You cannot simplify it more, so it will remain the same.

Answer:

2/15

Step-by-step explanation:

:)

Answer:

1/3

Step-by-step explanation:

Hope this helps!

Answer:

2 students out of 20 have blonde hair.

Step-by-step explanation:

20 was the total number if u divide 20 ÷ by 10 = 2

so 2 is 1/10

because is only 1 out of 10

Answer:

2 students.

Step-by-step explanation:

20 divided by 10 = 2

Answer:

They are adjacent and supplementary

Step-by-step explanation:

The surface area of the box that Melissa will paint is 24 square units

A cube is a solid figure with 6 faces. The formula for calculating the surface area of the cube is expressed as:

A = 6L^2

where

L is the side length of the cube

Given

L = 2units

Substitute

A = 6(2)^2
A = 6 * 4
A = 24 square units

Hence the surface area of the box that Melissa will paint is 24 square units

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Answer:

AB = 21

Step-by-step explanation:

the line EB is parallel to the side of the triangle DC and intersects the other 2 sides proportionally , that is

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] ( substitute values )

[tex]\frac{14}{12}[/tex] = [tex]\frac{AB}{18}[/tex] ( cross- multiply )

12 AB = 14 × 18 = 252 ( divide both sides by 12 )

AB = 21

Answer:

Step-by-step explanation:

scale factor bigger than one,  in math   greater than,  the figure is larger than the object being used    a figure smaller than 1 creates a figure smaller than the original  

Luckily you can just use your web browser to scale a screen up or down in it's scale.  try it.. top right  ellipse for go ogle chrome lets you scale over 100 per cent  or 1  and also under 100 per cent  or less than 1  remember   100 per cent = 1.00  

Answer:

4000 yd^2

Step-by-step explanation:

50 yd   *   80 yd  =  (50*80) ( yd * yd) = 4000 yd^2

An octagon is a polygon with 8 sides and angles. The two equal angles are 140 degrees each

An octagon is a polygon with 8 sides and angles

The formula for calculating the sum of interior angle of a regular polygon is expressed as:

S = (n-2) * 180

If the sum of six interior angles of a regular octagon is 800 the other two angles are equal, then;

800 + 2x = (8-2)*180

800 + 2x = 1080
2x = 1080 - 800
2x = 280
x = 140

The two equal angles are 140 degrees each

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Answer:

56  feet.

Step-by-step explanation:

4k+6k+8k=18k=126⟹k=7

Therefore, the lengths are 4⋅7=28, 6⋅7=42 and 8⋅7=56 feet.

Answer:

Step-by-step explanation:

In order to solve this, you must use the distributive property.

[tex]\sf{\dfrac{4\left(5t+1\right)}{5}}[/tex]

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 4(5t+1)

Multiply by expand.

4*5t=20t

4*1=4

Rewrite the problem down.

20t+4

20t+4/5

[tex]\text{FRACTION RULES: }\\\\\\\Longrightarrow: \sf{\dfrac{A\pm \:B}{C}=\dfrac{A}{C}\pm \dfrac{A}{C}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{20t+4}{5}=\dfrac{20t}{5}+\dfrac{4}{5}}[/tex]

You have to divide the numbers from left to right.

⇒ 20/5=4

[tex]\Longrightarrow: \boxed{\sf{4t+\dfrac{4}{5} }}[/tex]

Answer:

[tex]4t + \frac{4}{5}[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]\frac{4(5t + 1)}{5}[/tex]

[tex]\frac{(4 * 5t) + (4 * 1)}{5}[/tex]

[tex]\frac{20t + 4}{5}[/tex]

Step 2:  Isolate the numerator into two fractions

[tex]\frac{20t +4}{5}[/tex]

[tex]\frac{20t}{5} + \frac{4}{5}[/tex]

[tex]4t + \frac{4}{5}[/tex]

Answer:  [tex]4t + \frac{4}{5}[/tex]

The sampling strategy she use was a quota.

Quotas are meant to establish boundaries on the number of specific goods that are allowed to be lawfully imported into the country throughout a distinct period of time. In that, quotas are similar embargoes, except quotas don´t have explicit political purposes as embargoes do.

A Fixed quota would be a maximum amount not to be surpassed, while a tariff rate surcharge allows it, but with a higher duty.

Answer: 11

Step-by-step explanation:

Ans: The measure of exterior angle i.e angle A is -52⁰.

You meant to say that the measure of an angle A is on exterior angle so let me elaborate it you clearly,

[tex]x + 59 \\ = - 7 + 59 \\= - 52[/tex]

Let's solve the equation.

4 (2m -6) - 3p - 2m + 8

= 8m - 24 - 3p - 2m + 8 (We simplified 4 (2m -6))

= 6m - 16 - 3p (We added the 8 to the 24)

= 6m - 3p - 16 (We organized the variables together so it matches an answer.)

The answer is A!

Answer: hii

Step-by-step explanation:

How to solve your problem:

4 (2m -6) - 3p - 2m + 8

Simplify.

Distribute.

4 (2m -6) - 3p - 2m + 8

8m - 24 - 3p - 2m + 8

Add the numbers:

8m - 24 - 3p - 2m + 8

8m - 16 - 3p - 2m

Combine like terms:

8m - 16 - 3p - 2m

6m - 16 - 3p

Rearrange terms:

6m - 16 - 3p

6m - 3p - 16

Solution:

6m - 3p -16

Hopefully this helps you ~

- Matthew

Answer:

(a) mintutes, seconds

(b) Randomly pick 55 students to run a lap around the track and measure their times

Step-by-step explanation:

(a) When measuring distance like running you measure it in minutes and seconds

(b) When finding the average of a population you have to pick randomly and to get the best results you time them youself

Randomly pick 55 students to run a lap around the track and measure their times.

Answer:

[tex]-\frac{2}{3} x[/tex]

Step-by-step explanation:

Hey there!

To find slope, you take [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case

y2: 6

y1: 4

x2: -3

x1: 0

Now we plug in this information

[tex]\frac{6-4}{-3-0} \\\\\frac{2}{-3} \\\\-\frac{2}{3}[/tex]

Since this is the slope, you have to add a "x"

So, the slope is [tex]-\frac{2}{3} x[/tex]

Answer:

16

Step-by-step explanation:

The figure shown is a trapezoid

Area of a trapezoid = 1/2(bottom base length + top base length) × height

Bottom base length = 7 units

Top base length = 1 unit

Height = 4 units

So area = 1/2 ( 7 + 1 ) × 4

==> add 7 and 1

Area = 1/2 (8) × 4

==> multiply 1/2 and 8

Area = 4 × 4

==> multiply 4 and 4

Area = 16

Answer:

D. (x^3 - 10)(x^2 + 10x^3 + 100).

Step-by-step explanation:

Using  the identity a^3 - b^3 = (a - b)(a^2  + ab + b^2):

We have  x^9-1000 :

- here a = x^3 and b = 10 so:

x^9-1000 = (x^3 - 10)(x^2 + 10x^3 + 100)