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3 years ago

Please can someone help me answer and explain this to me thanks x

Mathematics

1 answer:

son4ous [18]3 years ago

7 0

Answer:

22 cm
14 cm

Step-by-step explanation:

When solving any problem, you start by understanding the given information and the question that you're being asked to answer. Here, you are given the volume of a triangular prism and asked to find its height. All other relevant dimensions are given.

Next, you need to draw on your memory (and perhaps other resources) to find the necessary relationship(s) between the given information and what you are asked to find. Here, that relationship is the formula for the volume of the triangular prism.

If b is the base of the triangle, and h is its height, then the area of the triangle is ...

A = (1/2)bh

If w is the distance from one triangular face of the prism to the other, then the volume is given by ...

V = Aw = (1/2)bhw

Solving for h by dividing by its coefficient, we get ...

h = 2V/(bw)

This formula works for both problems.

Left Problem

V = 880 cm^3, b = 8 cm, w = 10 cm

h = 2(880 cm^3)/((8 cm)(10 cm))

h = 22 cm

Right Problem

V = 1176 cm^3, b = 12 cm, w = 14 cm

h = 2(1176 cm^3)/((12 cm)(14 cm))

h = 14 cm

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Now, If the exponent was negative like you asked....

$\left( \frac{27x^3}{8y^9}\right)^ {-\frac{5}{3}} \\\\\\ =\left( \frac{8y^9}{27x^3}\right)^ {\frac{5}{3}}\\\\\\ =\left( \frac{(2y^3)^3}{(3x)^3}\right)^ \frac{5}{3} \\\\\\ = \frac{(2y^3)^{3 \times \frac{5}{3} }}{(3x)^{3 \times \frac{5}{3} }} \\\\\\ =\frac{(2y^3)^{5 }}{(3x)^5} \\\\\\ =\frac{32y^{15}}{243x^5}$

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3 years ago

Find the LCM of 6 and 8. A) 12 B) 18 C) 24 D) 36

frez [133]

Answer:

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3 years ago

for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b

marusya05 [52]

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To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

⇒ 300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

= 101/2 (300+100)

= 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

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1 year ago

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jeka94

Answer:

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

Step-by-step explanation:

The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.

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3 : 2 : 5

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To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.

The total ratio is:

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$\frac{2}{10} * 176500$ = $35300

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