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Travka [436]
2 years ago
12

How do i write mixed numbers as an improper fraction? Explain with examples.

Mathematics
2 answers:
andre [41]2 years ago
6 0

Answer:

A mixed fraction can be written as an improper fraction by multiplying the whole number with the fraction's denominator and adding that to the numerator, and finally writing that result on top of the denominator.

Step-by-step explanation:

irinina [24]2 years ago
3 0

Answer:

You have to multiply the whole number by the denominator and then add the answer you get with the numerator.

Step-by-step explanation:

For example, the fraction 10 \frac{1}{3} is a mixed number right? So then you multiply 10x3=30. Then you add 30+1=31. So then the answer would be \frac{31}{3}.

Hope this helps! Please give brainlist!

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All of the edges of a regular triangular pyramid have length 12. A frustum of the pyramid has height half of that of the pyramid
vlada-n [284]

Answer:

1) The volume of the frustum is 27·(√3)·h

2) The surface area the frustum is 24·h + 54·√3

Step-by-step explanation:

1) A frustum of the regular triangular prism is a portion of the triangular prism

The length of the edge of the triangle prism = 12

The area of the triangular face, A = (√3/4)·a²

∴ A = (√3/4)·12² = 36·√3

When

The volume of the triangular prism, V = A·h = (36·√3)·h

By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism =  (√3/4)·6² = 9·(√3)

The volume of the top half, V₂ = 9·(√3)·h

The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h

The volume of the frustum = 27·(√3)·h

2) The surface area of the triangular side of the frustum is given as follows;

A = 36·√3- 9·(√3) = 27·(√3)

The surface area the frustum, F_A = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3

The surface area the frustum = 24·h + 54·√3

4 0
3 years ago
BRAINLIEST PLZ JACOB HELP MEE
Viktor [21]
It’s 13 and 15 you felllmeeyebebenr
8 0
2 years ago
In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°
Vinvika [58]
<span>The complete question is shown in the attached image

<u><em>Answer:</em></u>
measure angle H = 42</span>°<span>

<u><em>Explanation:</em></u>
<u>There is a theorem that states that:</u>
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

<u>In the given, we have:</u>
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

<u>Based on the above rule:</u>
measure angle E = measure angle D + measure angle H

<u>We are given that:</u>
angle E = 87</span>°<span>
angle D = 45</span>°<span>

<u>Substitute with the givens in the above rule and solve for the measure of angle H as follows:</u>
angle E = angle D + angle H
87</span>°<span> = 45</span>°<span> + measure angle H
measure angle H = 87</span>°<span> - 45</span>°<span>
measure angle H = 42</span>°<span>

Hope this helps :)</span>

3 0
3 years ago
Sophia went to see a play at the theater downtown. 8:30 PM. The first act was 55 minutes long. Intermission lasted for 20 minute
Westkost [7]
10:45 is when the play is done
8 0
2 years ago
A. 3<br> B. 3.1<br> C. 3.8<br> D. 11.6
pishuonlain [190]
Mean = (2+4+6+5+2)/5 = 19/5 = 3.8

answer

<span>C. 3.8</span>
4 0
3 years ago
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