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Nat2105 [25]
3 years ago
13

The University of Ballygobackwards has three colleges: the College of Science, which has 12 staff, 8 of whom are female; the Col

lege of Engineering, which has 10 staff, 2 of whom are female; and the College of Arts, which has 20 staff, 9 of whom are female. Each college has a Dean, who is chosen from the staff in that college. What is the total number of ways these three Deans can be chosen?
Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

just split the awnser

Step-by-step explanation:

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Bob is making a curtain to surround a table she bought 3 1/4 yards of fabric her total cost was $13 what was the cost per yard
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3 dollars and 25 cents is what it cost per yard
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The surface are I cannot find
Ilia_Sergeevich [38]

check the picture below.


so the triangular prism is really just 3 rectangles and 2 right-triangles,

now, we know the base of one of the triangles is 2.6, what's its height?

since it's a right-triangle, we can simply use the pythagorean theorem to get "h".


\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad
\begin{cases}
c=\stackrel{hypotenuse}{5.2}\\
a=\stackrel{adjacent}{2.6}\\
b=\stackrel{opposite}{h}\\
\end{cases}
\\\\\\
\sqrt{5.2^2-2.6^2}=h\implies 4.5\approx h


so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.


\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)}
\\\\\\
11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft

5 0
2 years ago
Read 2 more answers
The figure shows the front side of a metal desk in the shape of a trapezoid.
Alenkinab [10]

Answer:

Area of trapezoid is 16ft^2.

Therefore, option 2nd  is correct.

Step-by-step explanation:

We have been given both the sides a=3 and b=5.

And height that is h=4

We will use the formula find the area of trapezoid is:

\frac{a+b}{2}\cdot h

Substitute the formula we get:

\frac{3+5}{2}\cdot 4

\Rightarrow \frac{8}{2}\cdot 4

\Rightarrow 16.

Area of trapezoid is 16ft^2.

Therefore, option 2nd  is correct.

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3 years ago
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Answer:

21/4 or 5.25

Step-by-step explanation:

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3 years ago
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The people of Whoville were shopping like crazy to get their lists completed! one customer bought a wreath for $12 and seven orn
Bezzdna [24]

Answer: 6 dollars

Step-by-step explanation: since the total price is 54 dollars and we know the price of the wreath, we subtract the wreath from the total, leaving us with 42. Then we do 42 divided by 7 to get the price per ornament(which is too high to be reasonable in any universe), 6 dollars.

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