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Fiesta28 [93]
3 years ago
7

What is the T.A. = and V =

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0
The formula of the area of the equilateral triangle:
A_\Delta=\dfrac{a^2\sqrt3}{4}\\\\a=3\to A_\Delta=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}

The formula of the area of the rectangle:
A=width\times length=wl\\\\w=3;\ l=6\\\\A=3\cdot6=18

T.A.=2A_\Delta+3A\\\\T.A.=2\cdot\dfrac{9\sqrt3}{4}+3\cdot18=\dfrac{9\sqrt3}{2}+54=(54+4.5\sqrt3)\ in^2
The formula of the volume of the triangular prism:
V=A_\Delta\cdot l\\\\V=\dfrac{9\sqrt3}{4}\cdot6=\dfrac{9\sqrt3}{2}\cdot3=\dfrac{27\sqrt3}{2}=13.5\sqrt3\ in^3





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3 years ago
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Step-by-step explanation:

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A triangle has two sides that measure 4ft. and 3ft. Which could be the measure of the 3rd side?
Aneli [31]
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4 0
3 years ago
What is 9% of 42 pls help fast!
joja [24]

Answer:

3.78

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=9$.

Step 4: In the same vein, $x\%=42$.

Step 5: This gives us a pair of simple equations:

$100\%=9(1)$.

$x\%=42(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

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$\frac{100\%}{x\%}=\frac{9}{42}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{42}{9}$

$\Rightarrow x=466.67\%$

Therefore, $42$ is $466.67\%$ of $9$.

4 0
3 years ago
Read 2 more answers
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