Two Boys are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. One of them thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.

This is one of theirs work.

a2 + b2 = c2
32 + b2 = 52
9 + b2 = 25
b2 = 16
b = 16−−√
b = 4

Why is his reasoning incorrect? Explain.


How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Round your answer to the nearest tenth of a foot. Show your work.

Another boys parents bought a 10 foot piece of plywood for him and his friend to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Draw

Answer:

7.5 cm

Step-by-step explanation:

A rod 123.75 cm long is sawn into 16 equal lengths.

The length of each rod is calculated as:

123.75cm/16 =

= 7.734375cm

If a wastage takes place of ¼ cm for each saw cut,

The length of each piece is calculated as:

7.734375cm - 1/4 cm

7.734375cm − 0.25 cm

7.484375cm

Approximately = 7.5 cm

Therefore, the length of each piece = 7.5 cm

Answer:

781

Step-by-step explanation:

you need to separe the two shapes, find the area of both, then add

Answer:

Hello! answer: 781

Step-by-step explanation:

There's multiply ways to solve this but What im going to do is find the area of the whole thing as if it didnt have a huge chuck cut out of it then i will find the area of that separately and subtract so...

41 × 29 = 1189

29 - 12 = 17

17 × 24 = 408

1189 - 408 = 781 therefore the area is 781 Hope that helps!

Answer:

ok so if he starts by doing 10 and does 2 evrey day that means he will be doing 70 push ups on the last day of the month since

2*30+10=70

Answer: 160 chicken sandwiches were sold.

To convert a percentage into a decimal, move the decimal two places back.

40%=0.40, or 0.4

This means that 0.4 is still equivalent to 40%

Remember that "of" means multiplication.

So 0.4*400=160

160 chicken sandwiches were sold

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Step-by-step explanation:

hear is your both answer

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Work Shown:

(5 oranges)/(2 dollars) = (20 oranges)/(x dollars)

5/2 = 20/x

5x = 2*20 .... cross multiply

5x = 40

x = 40/5 .... dividing both sides by 5

x = 8

20 oranges cost $8

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Another way to approach the problem is to note that the jump from "5 oranges" to "20 oranges" is "times 4".

5*4 = 20

So we'll apply the "times 4" operation to the old cost of $2 to get the new cost being 2*4 = 8 dollars

Answer:

$8

Step-by-step explanation:

if 5 oranges cost $2 then 1 orange costs 2/5 of a dollar, or 40 cents

20 oranges multiplied by 40 cents is $8

or you can set up a proportion:

2/5 = x/20

cross-multiply to get:

5x = 40

x = 8

Answer:

1,184 sq cm

Step-by-step explanation:

Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12

                    = 1,184 sq cm

Hope this helps!

Answer:

125x³+240xy²+64y³ +300yx²

Step-by-step explanation:

Row of pascals triangle to use is 1 3 3 1

For binomial expansion, use a³ +3a²b+3ab²+b³

Answer:

y = -5

Step-by-step explanation:

y = x / 2

For x = -10

Plug -10 into the equation

y = -10/2

y = -5

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For the remaining values

x     y

0     0

4     2

10     5

Answer:

-5 ≠ 23

Step-by-step explanation:

5(3−4)=8+15

5(-1) = 8 + 15

-5 = 23

-5 ≠ 23

Answer: 10.8%

Step-by-step explanation:

The question is asking what the percentage of the down payment is of the purchase price of the house.

For such a question, the purchase price needs to be known.

We shall therefore assume a purchase price and you can use the process to find out your percentage.

Assume the purchase price is $1,000,000.

The percentage would be:

= Down payment / Purchase price * 100%

= 108,000 / 1,000,000

= 10.8%

Answer:

10.8%

Step-by-step explanation:

see above

Answer:

A = $1,871.77

Step-by-step explanation:

A = P(1 + r/n)nt

Where,

A = Total money in the bank

P = principal = $1,600

r = interest rate = 4% = 0.04

n = number of periods = 1 year

t = time = 4 years

A = P(1 + r/n)^nt

A = 1,600(1 + 0.04/1)^1*4

A = 1,600(1 + 0.04)^4

= 1600(1.04)^4

= 1600(1.16985856)

= 1,871.773696

Approximately,

A = $1,871.77

Answer:

b=112°

Step-by-step explanation:

two complementary angles

b=180°-68°=112°

sum of 2 angles is

x= 35°+25°=60°

Answer:

3. b=112

4. x = 60

Step-by-step explanation:

3.

b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.

4.

35+25 = 60, therefore x = 60.

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

Answer:

looks like C is best guess

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

Answer: An equation is *629 = n - 99. The geometry book has 728 pages*

Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.

Hope this helps! :)

Answer:

The answer is 70 ways.

Step-by-step explanation:

8C4 = 70.

40320/576 is equal to 70.

Answer:

Step-by-step explanation:

1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa

15 * 50 = 750 square units

3) Area = base x height = 12 * 9 = 108 cm^2

4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2

6) Area of the square = side ^ 2 = 12^2 = 144 cm^2

height of the triangle = 20 - 12 = 8 cm

Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2

Total area = 144 + 48 = 192 cm^2

7) radius = diameter / 2 = 20 : 2 = 10 cm

circumference = radius * 2 * pi = 20 * pi = 62.8 cm

area = radius^2 * pi = 100 * pi = 314.2 cm^2

10) √25 = 5

we have to find a  positive number that multiply by itself gives 25

12) √100 = 10

we have to find a positive number that multiply by itself gives 100

15) √64 = 8

we have to find a positive number that multiply by itself gives 64

a, I see, you split the workload :D

this answer is just a greeting,making you able to choose a brainliest.

if someone leaves a greeting in the other topic, it works there to. :D

Answer:

Jomar needs to study for 3 hours on Thursday to be prepared for his test.

Step-by-step explanation:

If we want to make the average a certain amount of time over a certain number of days, we can first figure out the number of days and total amount needed. Here, we can see that the average is 1 hour and 30 minutes, and there are 6 days (Saturday-Thursday). Therefore, as

average = total / length, we can multiply both sides by length to get

average * length = total

Plugging 1.5 hours in for average and 6 days for length, we get

1.5 * 6 = 9 hours as the total amount needed to get an average of 1.5 hours a day

Our total so far is 2 hours for Saturday, 2 hours for Sunday, and 2 hours for Monday. This adds up to 6 hours, and we need 9. The difference between 9 and 6 is 3, meaning that Jomar needs to study for 3 hours on Thursday to be prepared for his test.

Answer:

your answer is C

Answer:

D and E

Step-by-step explanation:

Let's double check:

D. 9 ÷ 3 = 3

E. 4 × 9 = 36

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Have a great summer :)

Answer:

the answers would be A, D, and E

Step-by-step explanation:

just replace the Cs with the number 9 and solve from there.

for example c/3=3 would say 9/3=3