The trapezoid consists of a triangle and a parallelogram. The area of the trapezoid is 48 square feet. Find the length of the base of the triangle.

Answer:

[tex]y-9=-3(x-5)[/tex]

Step-by-step explanation:

The equation of the line in point-slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here m=-3 and (x1, y1)=(5, 9)

Therefore,

[tex]y-9=-3(x-5)[/tex]

Answer:

7.48

hope this helps!!:)

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

7(4+x)

Distribute: 28 + 7x

Substitute: 28 + 7(5)

Simplify: 28 + 35

Simplify: 63

Answer:

n = a + 99

Step-by-step explanation:

Given that :

a = number of pages in algebra book 1

n = number of pages in geometry book

a = n - 99

The number, n of pages in a geometry book is ;

Pages in algebra book = (pages in geometry book - 99)

a = n - 99

a + 99 = n - 99 + 99

a + 99 = n

Answer:

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

Step-by-step explanation:

Geometrically speaking, the volume of the cylindrical tank ([tex]V[/tex]), measured in cubic centimeters, is determined by the following formula:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

By Differential Calculus, we obtain a formula of the rate of change of the volume of the cylinder ([tex]\dot V[/tex]), measured in cubic centimeters per seconds:

[tex]\dot V = \pi\cdot r^{2}\cdot \dot h[/tex] (2)

Where [tex]\dot h[/tex] is the rate of change of the water level, measured in centimeters per second.

Given that the rate of change of the water level is constant, then the rate of change of the volume of the cylinder is also constant. Hence, the change in the volume of the cylinder ([tex]\Delta V[/tex]), measured in cubic centimeters, is:

[tex]\Delta V = \pi\cdot r^{2}\cdot \dot h \cdot \Delta t[/tex] (3)

If we know that [tex]r = 25\,cm[/tex], [tex]\dot h = 10\,\frac{cm}{s}[/tex] and [tex]\Delta t = 35\,s[/tex], then the change in the volume of water in the tank is:

[tex]\Delta V = \pi\cdot (25\,cm)^{2}\cdot \left(10\,\frac{cm}{s} \right)\cdot (35\,s)[/tex]

[tex]\Delta V \approx 687223.393\,cm^{3}[/tex]

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

Answer:

0.45

Step-by-step explanation:

30% of 1.5 = 0.45

Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. [tex]1.5[/tex] quarts of seafoam paint is made of [tex]70[/tex]% blue, [tex]30[/tex]% yellow.

So,

[tex]30[/tex]% of [tex]1.5[/tex] is

[tex]\frac{30}{100}[/tex] ×[tex]1.5=0.45[/tex] %

Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.

To know more about the percentage

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Answer:

<G=57°

Step-by-step explanation:

x+2x+9=180

3x=180-9

x=171/3=57

Answer:D

Step-by-step explanation:

Answer:

4 years

Step-by-step explanation:

Answer:

YZ=8

Step-by-step explanation:

1/2*VX=yz

1/2(106-10x)=21-x

106-10x=42-2x

106-42=10x-2x

64=8x

x=8

sub in 21-x

=21-8

=13

Answer:

YZ = 13 units

Step-by-step explanation:

VX = 2YZ

106 - 10x = 2(21 - x)

106 - 10x = 42 - 2x

8x = 106 - 42

x = 8

YZ = 21 - 8 = 13 units

Answer:

29.15 feet

Step-by-step explanation:

Pythagorean theorem

Answer:

the first graph

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

75 x - 30 = 45

Inequality

45 x 3 =

135 (Inequality)

Answer:

I believe the answer is 103.

Step-by-step explanation:

Since line a is parallel to line b, angle m1 = angle m3.

Supposedly, angle m4 + angle m5 = 180 degrees, since it's a line. That also means that angle m3 + angle m4 = 180 degrees too.

That means:

angle m4 + angle m5 = angle m3 + angle m4

Subtract angle m4 from both sides of the equation.

You get,

angle m5 = angle m3.

Angle m5 is 103, and as we stated earlier, angle m3 = angle m1.

Thus, angle m1 = 103 degrees.

Answer:

No

Step-by-step explanation:

10 times 10 equal 100

5 times 10 only equal 50.

Not equal.

Hope this helps.

Answer:

1. D

2. C

3. A

4. B

Step-by-step explanation:

mark me brainliest if im right

Answer:

1. D

2. C

3. A I think

4. B

Step-by-step explanation:

1. The shown equation has a value of negative twelve and so does the equation 4n+8

2. If you use distributive property than you can get this answer

3. It shows the equation to a solve the problem

4. It is the best example that shows how to find how many nickels that Jeremy has

Answer:

x = 35

Step-by-step explanation:

5(x + 20) = 7x + 30​

Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.

5x + 100 = 7x + 30

Subtract 7x from both sides.

-2x + 100 = 30

Subtract 100 from both sides.

-2x = -70

Divide both sides by -2.

x = 35

Answer:

Let the share's be 4x and 5x

[tex]4x + 5x = 45000 \\ 9x = 45000 \\ \boxed{x = 5000}[/tex]

Taiwo's share = 4x =4×5000= 20,000

Kehinde's share = 5x =5×5000= 25,000

Answer:

[tex]Area \: of \: the \: quilt \: is \: length \times breadth \\ = (2x + 4)(3x + 3) \\ = 6 {x}^{2} + 6x + 12x + 12 \\ = 6 {x}^{2} + 18x + 12[/tex]

Answer:

No solution

Step-by-step explanation:

If you were to do elimination, both the x and the y would cancel out and get 0=1, which is not true. And if you were to do it as substitution, then it would still get an answer that doesn't make sense.

9514 1404 393

Answer:

  C)  12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

  A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

  A/P = (1 +r/12)^(12t)

  log(A/P) = (12t)·log(1 +r/12)

  t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

  t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

Answer:

Let x equal “a number”

3x+5=9

Answer:

x = 4/3 or 1.33333333333333333333333(infinite 3)

Step-by-step explanation:

3 times a number =  3x

sum = addition

3x + 5 = 9

now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.

3x = 4, now divide by 3 on each side to get x on one side

3x/3 = 4/3

x=4/3

4/3 = 1.33

3 x 1.33 +5 = 9

Answer:

Deepak only wants to make 16 cupcakes.

How much of each ingredient does he need?

Recipe: Makes 16 cupcakes

8 ounces butter

4 ounces sugar

6 ounces flour

2 eggs

Step-by-step explanation:

Answer:

butter: 8

sugar: 4

flour: 6

eggs: 2

Step-by-step explanation:

Multiply by 2/3.

Answer:

What's at stake?

Mountaer their local fish stocks in a sustainable way. Local fishers are now responsible for confiscating fishing equipment that damages the environment and collecting fees for fishing licenses—providing them with an extra income while conserving their livelihoods in the long-term.

Namibia: elephants, cheetahs and other wildlife have made an amazing comeback in the last couple of decades. With strong government backing, we've helped local communities to set up and run “conservancies”, which allow them to manage and benefit from their own natural resources.  Read more about our successes in Namibia.

Philippines: We've helped eco-tourism to flourish in Donsol, where visitors now flock to see schools of endangered whale sharks, the world's largest fish, bringing hundreds of thousands of dollars into the local economy. Communities benefit—and so do the fish and other marine species, as local people recognize the need to conserve their largest asset.

India: Arunachal Pradesh is one of the only regions in India where indigenous people control their own forest regions. We've been working with them to create Community Conserved Areas, special areas where development is carefully managed and conservation regulations are strictly enforced. It's helping people preserve their way of life, and benefiting species like red pandas that live in the forest.

Brazil: We're helping local people in the state of Acre to make a better living by protecting the Amazon rainforest than by clearing it for logging or farming. We worked with the state government to introduce a new law that recognizes the huge value of the environmental services—such as storing carbon—that the rainforest provides, and offers people incentives to conserve it.  

These include payments to local people who look after their land, money for community projects, and technical help with sustainable agriculture and forestry. We're helping people develop sustainable livelihoods, such as rubber tapping and selling forest products like brazil nuts.

Did you know?

Mountain gorillas weren't discovered until 1902, and there were fears they would not survive into the 21st century. They're the largest type of gorilla—adult males weigh 220kg and have an arm span of over 2m.

Facts and stats

26 percent—increase in the mountain gorilla population in the Virunga volcanoes since 2003, up from 380 to 480

US$678,000—money local communities in Uganda earn each year from tourists who come to see mountain gorillas

US$1 million—annual value to the Ugandan economy of each of its gorillas

120,000 sq km—area of wildlife habitat sustainably managed by communities in Namibia, where wildlife sightings have almost doubled since 2004

What next?

We involve local people in all our conservation work, and we're looking to replicate the success of our community-led conservation projects in other areas

We believe that what's worked for mountain gorillas can do the same for lowland gorillas in central Africa. We're bringing the Namibian model of community-run wildlife conservancies to neighbouring Botswana and Zambia. We think that Acre can provide a model for international efforts to reduce carbon emissions from deforestation.

But we're also looking to a much bigger community: the global one.

Ultimately, we all benefit from nature's services—from food, materials and medicines to clean water and fertile soils, as well as the joy and wonder nature brings. We want to show people all over the world that looking after our one and only planet is in everyone's interest.

How you can help

Buying Forest Stewardship Council (FSC)-certified wood and paper benefits local people as well as wildlife: always look out for the FSC label when you're shopping.

Planning an exotic holiday? Be an ecotourist! Choose a trip that benefits wildlife and local communities.

Find out more about mountain gorillas.

Step-by-step explanation:

Function A changes at a faster rate than Function B.

A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run."

Given Two functions in form of a graph and chart.

For function A

Two random coordinates are(4, 32) and (8, 44)

Thus, the slope of function A = (44 - 32)/ (8-4) = 12/4 = 3

For function

Two random coordinates are(0, 2) and (6, 9)

Thus, the slope of function A = (9 - 2)/ (6 - 0) = 7/6 = 1.17

Since Slope of the function A is Bigger than the slope of the function B

Therefore, Function A has a greater rate of change than B.

Learn more about the slope here:

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Answer:

5.60/6= 0,93 for one soda

11.23/9= 1.24 for one soda

so better buy is 6-pack

Answer:

I Think it a 6 pack i could be wrong...

Step-by-step explanation:

Answer:

the answer is 28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

Distribute the -6 and combine like terms which are the x's

Also combine the numbers

Step-by-step explanation:

Answer:

x + 59 = 0    

X= -59

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

3.) Boys║5║10 ║60

    Girls ║7║ 14 ║84

7 × 2 = 14

5 × 2 = 10

5 × 12 = 60

7 × 12 = 84

Hope I helped!