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Sedbober [7]
2 years ago
10

If you follow a similar approach by drawing a line through point C that is perpendicular to and using the associated defects for

∠A or ∠B instead of ∠C, what are the resulting equations? (Do not go through the complete derivation again, just think about the result you came up with in question 9 and what similar formulas for ∠A or ∠B would look like.)

Mathematics
1 answer:
liq [111]2 years ago
5 0

Answer:

n

Step-by-step enxplanation:

n

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Please Help. 25 points. <br>​
vodomira [7]

Answer:

\boxed{x = 7, y = 9, z = 68}

Step-by-step explanation:

We must develop three equations in three unknowns.

I will use these three:

\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}

\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}

\boxed{\mathbf{ x = 7, y = 9, z = 68}}

4 0
3 years ago
The camp cook made 1 1/2 pints of baked beans. Each serving of beans is 3/10 of a pint. How many servings of beans did the cook
Marta_Voda [28]
Answer:
number of servings = 5 servings

Explanation:
We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:

1 serving ....................> 3/10 pint
?? servings ................> 1.5 pints

number of servings = (1.5*1) / (3/10)
number of servings = 5 servings

Hope this helps :)
6 0
2 years ago
Read 2 more answers
Answer two questions about Equations A and B: A. 5x = 20
marusya05 [52]

Answer: 20/5

Step-by-step explanation:

Divide 20/5

8 0
3 years ago
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The prem
MAVERICK [17]

x = 160 gal

y = 80 gal

160 gallons of water and 80 gallons of premium antifreeze solution must be mixed.

8 0
2 years ago
I need to find the volume of a nose cone.
rjkz [21]

well then, the volume of the nose cone will just be the sum of the volume of the cylinder below and the cone above.

since the diameter for both is 8, then their radius is half that, or 4.

\bf \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\cfrac{\pi (4)^2(6)}{3}\implies V=32\pi \\\\\\ \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\pi (4)^2(6)\implies V=96\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the nose cone}}{32\pi +96\pi \implies 128\pi }\qquad \approx \qquad 402.12

8 0
3 years ago
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