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Korolek [52]
3 years ago
8

9. The volume of a triangular prism is 30 cm. Each triangular face has an area of 4 cm. How long is the prism?

Mathematics
2 answers:
Nana76 [90]3 years ago
4 0

Answer:

12

Step-by-step explanation:

stealth61 [152]3 years ago
3 0

Answer:

12

Step-by-step explanation:

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how many circles can be drawn passing through three non collinear points and how many circles can be drawn passing through three
MrRissso [65]

Answer:

Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points

Step-by-step explanation:

A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.

7 0
2 years ago
To estimate the length of the lake, caleb starts at one end of the lake and walk 95m. He then turns a 60° angle and walks on a n
aivan3 [116]

Answer:

Length of the lake is 97.30 m

Step-by-step explanation:

We have given Caleb starts at one end of the lake and walk 95 m

So d_1=95m

And then he turns at an angle of 60°

So \Theta =60^{\circ} and then again walk 8 m

So d_2=8m

We have to fond the total length of the lake , that is d

Total length of the lake is given by d=\sqrt{d_1^2+d_2^2+2d_1d_2cos\Theta }=\sqrt{95^2+8^2+2\times 95\times 8\times cos60^{\circ}}=97.30m

So length of the lake is 97.30 m

3 0
3 years ago
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)

7 0
2 years ago
Find the product. Simplify your answer.<br> (2u–4)(u2+2u–1)
Goshia [24]
It would be 2u3+4u2-2u-4u2-8u+4= 2u3-10u+4
4 0
2 years ago
Which one that doesn’t belong ? 1/20, 20/25, 2/3, 5,4 <br> Need help!!
Setler [38]

Answer:

\frac{5}{4}

Step-by-step explanation:

Out of the given options, \frac{5}{4} is the only fraction that is improper. All other options are not improper. Therefore, \frac{5}{4} would not belong is the given group of fractions.

Hope this helps.

3 0
3 years ago
Read 2 more answers
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