A 40-foot pipe is cut into three sections. The longest section is three times as long as the shortest, and the middle-sized section is 5 feet longer than the shortest. Complete the diagram
by giving a and b as expressions involving x. Do not solve the problem.
P = 40 ft
12
X
b
21
X
P
1
a
Length of
middle-sized
Length of
shortest
section
Length of
longest
section
section

Answer: 59.98

Step-by-step explanation: :)

The distance between them is 59.92 ft

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

Given that, a scenario that is making an arrangement of a right-angled triangle, we need to find the base, [refer to the figure attached]

So, here we will use the Pythagoras theorem

75²+base² = 96²

base² = 96²-75²

base = √3591

base = 59.92

Hence, the distance between them is 59.92 ft

Learn more about Pythagoras theorem click;

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Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

Answer:

I hope this helped you :)

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

Answer:

y = x + 11

Step-by-step explanation:

The table is showing 4 x and y values. With the question of which equation gives the rule of the table.

To solve, all we have to do is plug in x with the correspondant equation, same goes with y.

y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.

Answer:

y = x + 11

Step-by-step explanation:

y + 11 = 11

1 + 11 = 12

2 + 11 = 13

3+ 11 = 14

4+ 11 = 15

y is the first row, 1,2,3,and 4

11 is 11 (lol)

x is the answer

your answer is y=x+11

Answer: =−3x^3−9x^2+3

Step-by-step explanation:

Distribute the Negative Sign:

=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)

=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)

=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7

Combine Like Terms:

=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7

=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)

=−3x^3+−9x^2+3

Answer:

m∠Z= 23°

Step-by-step explanation:

if they're equal, as are their angles

124°+33°= 157°

180°-157°= 23°

m∠Z = 23°

The triangles are congruent. Therefore,

ΔXYZ ≅ ΔMNL

∠Y ≅ ∠N

Therefore,

∠Y = 124°

Sum of angles in a triangle = 180°

33 + 124 + m∠Z = 180°

157 +  m∠Z  = 180°

m∠Z = 180 - 157

m∠Z = 23°

Read more here: https://brainly.com/question/22834723?referrer=searchResults

Answer:

Let's say that x is sam's age and y is Amy's age

x=y-4

and five years ago:

x-5=(y-5)/2

y-4-5=(y-5)/2

2y-18=y-5

y=13

x=9

then:

sam's age is 9 and Amy's age is 13

Answer:

Sam: 9, Amy: 13

Step-by-step explanation:

So five years ago, lets say Sam was 4, and Amy was 8. That would be half Amy's age. If we add on 5 to Sams age, as it says, Amy would then be 13, and Sam would be 9. This is also four years apart. Thus, the answers are Sam: 9 and Amy: 13

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Answer:

165.00 dollars

Step-by-step explanation:

Step-by-step explanation:

Consider a function

f

(

x

)

which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.

Answer:

51

b+129=180

b+95+34=180

Step-by-step explanation:

hope this helped :)

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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Answer:

1. 9 minutes

Step-by-step explanation:

1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes

2. Find out how many each person sells per week:

Emily: 4 boxes = 2 weeks

divide both sides by 2

2 boxes = 1 week

Jose: 9 boxes = 3 weeks

divide both sides by 3

3 boxes = 1 week

This means that jose sells more, because 3 boxes > 2 boxes

Answer:

Step-by-step explanation:

90°

Answer:

7

Step-by-step explanation:

7²÷3²-2 = 49/9-2 =49/7 =7

Answer:

2 on 15, 4 on 16, 1 on 17, 3 on 18, 1 on 19 5 on 20

Step-by-step explanation:

I took the test                          <>_<>

Answer: (-4,-7)

Step-by-step explanation:

The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.

-6 + -2 = -8

-8+-6=-14

-8 divided 2 = -4

-14 divided 2 = -7

(-4,-7)

Answer:

W=2001.24 newton meters

Caution: check units and arithmetic - I often make errors.

Step-by-step explanation:

Work is force times distance.

Denote height by h where h=0 is at ground level.

Denote the mass of the bucket and rope at height h by m(h).

The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m

The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m

The initial mass of the bucket and rope is

[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]

The mass at height h is

[tex]m(h)=24.4-0.8h[/tex]

The force required at height h is

m(h)g

where g is the gravitational acceleration.

g=9.81 meters/sec/sec

The work required is

[tex]\int\limits^b_a {m(h)g} \, dh[/tex]

Where a=0 and b=10

[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]

g(244-40)=204g

W=2001.24 newton meters

Answer:

9 containers

Step-by-step explanation:

$4.20 for 4 containers

Form that we can find the cost per container, the unit cost.

$4.20 / 4 containers = $1.05/container

Each container costs $1.05

Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.

$9.45/($1.05/container) = 9 containers

Answer: 9 containers

Step-by-step explanation:

Four containers of pudding cost $4.20.

4x = 4.20

x = 1.05

Using this we know that one container of pudding costs $1.05.

Then, divide the maximum amount that you have by the cost of one.

9.45/1.05 = 9

With $9.45, you can buy nine cups of pudding.

In the case that you can buy the four containers in bulk (4 at a time)...

You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.

Answer:

3 hours

Step-by-step explanation:

(60km)/(20km/hr)=3

Answer:

first you multiply both sides by k. that makes kU equals x

Answer:

[tex]y = x - 4[/tex]

Step-by-step explanation:

Given

[tex]2y - 2x = -8[/tex] -- correct expression

Required

Represent as slope intercept form

[tex]2y - 2x = -8[/tex]

Make 2y the subject

[tex]2y = 2x - 8[/tex]

Divide through by 2

[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]

[tex]y = x - 4[/tex]

Answer:

[tex]T > 45[/tex]

Step-by-step explanation:

Given

[tex]\frac{T}{3} > 15[/tex]

Required

Graph the solution

[tex]\frac{T}{3} > 15[/tex]

Multiply both sides by 3

[tex]3 * \frac{T}{3} > 15*3[/tex]

[tex]T > 15*3[/tex]

[tex]T > 45[/tex]

See attachment for graph (Assume T is on the x-axis)

Answer: 3.25 = 13/4

Step-by-step explanation:

I got 13/4

A mixed number is an addition of its whole and fractional parts.

3 + 1/4

add 3 and 1/4

To write

3

as a fraction with a common denominator, multiply by 4/4

3 x 4/4 + 1/4

Combine 3 and 4/4

3x4/4+ 1/4

Combine the numerators over the common denominator.

3x4+1/4

Simplify the numerator.

Multiply 3 by 4

12+1/4

Add 12 and 1

And your final answer is

13/4

Answer: 4 dollars for each notebook

Step-by-step explanation:

21-9= 12

12/3=4

each notebooks costs 4 dollars

Answer:

$4

Step-by-step explanation:

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

B 56

Step-by-step explanation: