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3 years ago

Help please, also explain

Mathematics

2 answers:

olga55 [171]3 years ago

8 0

Firstly, It says that the two triangles are similar .

The scale factor is 2 as 12 / 6 = 2

25 + 85 = 110

180 - 110 = 70.

70 degrees

galina1969 [7]3 years ago

8 0

Answer:

A: 70

Step-by-step explanation:

Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.

Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.

Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.

Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.

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A metallurgist has an alloy with 5% titanium and an alloy with 30% titanium. He needs 100 grams of an alloy with 15% titanium. H

andrey2020 [161]

Let us convert the percentages to decimal format first.. so 5% is just 5/100 or 0.05 and 15% is just 15/100 or 0.15

so hmmm, so, let's say it needs "x" amount and "y" amount of each respectively, so, whatever "x" and "y" are, they must add up to 100, and whatever their concentration is, must add up to what the mixture yields

thus

$\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{30\% alloy}&y&0.30&0.3y\\
-----&-----&-------&-------\\
mixture&100&0.15&15
\end{array}
\\\\\\
\begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.3y=15\\
----------\\
0.5x+0.3\left( \boxed{100-x} \right)=15
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4 0

3 years ago

A company makes pens. They sell each pen for $99.

Sindrei [870]

Answer:

a) Profit = 84000

b) at break even number of pens sold = 46

Step-by-step explanation:

Profit = Selling price - Cost price

Total revenue generated = 99 * 1000

Total revenue generated = 99000

Total cost on making the pen = 11 * 1000

Total cost on making the pen = 11000

Total cost including the initial cost = 11000 + 4000

Total cost including the initial cost = 15000

Profit = 99000 - 15000

Profit = 84000

Break even is when the cost are equal to Revenue thus no profit or loss

Revenue = total cost (break even)

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9x - x = 4000

8x = 4000

x = 500

At breakeven Revenue = 9 * 500

At breakeven Revenue = 4500

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at break even number of pens sold = 46

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3 years ago

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Zanzabum

Answer:

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Step-by-step explanation:

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Add 505 to both sides.

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