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algol [13]
3 years ago
5

Calculate the volume of the prism

Mathematics
1 answer:
Maslowich3 years ago
5 0

Answer:

96 cm³

Step-by-step explanation:

Volume of prism = A of triangle that is the base * hight

Volume of prism = 12 cm² * 8 cm

Volume of prism = 96 cm³

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Partition a line segment in the given ratio.
mestny [16]

Check the picture below.

\textit{internal division of a line segment using ratios} \\\\\\ T(-5,9)\qquad U(9,2)\qquad \qquad \stackrel{\textit{ratio from T to U}}{5:2} \\\\\\ \cfrac{T\underline{V}}{\underline{V} U} = \cfrac{5}{2}\implies \cfrac{T}{U} = \cfrac{5}{2}\implies 2T=5U\implies 2(-5,9)=5(9,2)

(\stackrel{x}{-10}~~,~~ \stackrel{y}{18})=(\stackrel{x}{45}~~,~~ \stackrel{y}{10}) \implies V=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +45}}{5+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{18 +10}}{5+2} \right)} \\\\\\ V=\left( \cfrac{ 35 }{ 7 }~~,~~\cfrac{ 28}{ 7 } \right)\implies {\Large \begin{array}{llll} V=(5~~,~~4) \end{array}}

4 0
1 year ago
In the data set below, what is the upper quartile?
Bingel [31]
77 is the upper quartile. middle number between the half way mark and highest number.

5 0
3 years ago
Solve 4x + 3y = 2 for y. Question 1 options: A) y = –4∕3x + 2∕3 B) y = 4x – 2 C) y = 4∕3x – 2∕3 D) y = –4x + 2
svlad2 [7]

Answer:

A

Step-by-step explanation:

4x+3y=2

3y = - 4x + 2

y = - 4x / 3 + 2/3

5 0
3 years ago
Read 2 more answers
Simplify the expression x^5*x^7
goldenfox [79]

Answer:

x^12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE! :)<br> thanks
luda_lava [24]

Formula: A = pq/2

p = d1

q = d2

Substitute with the given values and solve.

A = 12*14/2

A = 168/2

A = 84

Therefore, the ansewr is 84in²

Best of Luck!

3 0
3 years ago
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