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12345 [234]
2 years ago
12

Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood. How much wood did it take to

cover the ramp, including the bottom? feet^2 2 squared

Mathematics
1 answer:
Tema [17]2 years ago
6 0

Answer:

144 squared ft

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

  • height - 3
  • length - 11
  • width - 4
  • slant height - 5

As we know that, the ramp is a triangular Prism, so to find how much wood did it take to cover the ramp we need to find the total surface area of the triangular prism

1/ The area of the central rectangle

A = lw = 11*4 = 44 squared ft

2/ The area of the rectangle to the left

A = hw = 3*4 =12 squared ft

3/ The area of the rectangle to the right

A = slant height* length = 5*11 = 55 squared ft

4/ The area of the two triangles

A = 2 (1/2*h*l) = h*w = 3*11 = 33 squared ft

=> the total surface area of the ramp is: 44 + 12 + 55 + 33 = 144 squared ft

Hope it will find you well.

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On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
A group of 247 people are traveling in vans to a zoo. The greatest number of people who can travel in
NeTakaya

Answer:

B

Step-by-step explanation:

247 divided by 15 equals 16 and a whole bunch of nunbers

7 0
2 years ago
The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges fo
Lelu [443]
We know from the slope intercept form that y=mx+b so the y intercept is 12 while every hour the cost goes up by 8
4 0
3 years ago
Read 2 more answers
Evaluate the function f(x)= -2x +1 for f(3). <br><br> A)-5<br> B)6<br> C)7<br> D)10
pantera1 [17]
<span>f(x)= -2x +1 for f(3)

f(3) = -2(3) + 1 = -5

answer
</span><span>A)-5</span>
4 0
2 years ago
Read 2 more answers
3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

5 0
3 years ago
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