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Andreyy89
3 years ago
5

This is Core Focus: Working With Scientific Notation

Mathematics
1 answer:
asambeis [7]3 years ago
6 0
A. 3272.4
b.349.92
c. 198.432
d. 194.688
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You built a skateboard ramp in the shape of a triangular prism. If you want to paint the entire ramp, even the bottom, what is t
olchik [2.2K]

Answer:

180 ft²

Step-by-step explanation:

In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides.  Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces.  The sides of the ramp are triangles with a base of 12 ft and height of 5ft.  The area of a triangle is: A = 1/2bh.  Since there are two triangles with the same dimensions:

12 x 5 = 60 ft²

Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:

13 x 4 = 52 ft²

The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:

12 x 4 = 48 ft²

Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:

5 x 4 = 20 ft²

Add them all together:

20 + 48 + 52 + 60 = 180 ft²

7 0
4 years ago
Can someone answer this please: 37.3 rounded to the nearest integer<br><br>thank you &lt;3​
Elenna [48]

Answer:37

Step-by-step explanation:

6 0
3 years ago
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umka21 [38]
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8 0
3 years ago
1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
Natalka [10]

Answer:

  24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

3 0
3 years ago
The sum of two numbers is 310. The difference between the two numbers is 24. a. Find the smaller number, b. Find the greater num
Julli [10]

Answer:

143 and 167 hope this helps

7 0
3 years ago
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