If a sector in a circle of radius 14 has an area of 10 pi what is the measure of the central angle that forms the sector?

Mathematics

1 answer:

Marianna [84]2 years ago

3 0

25 sec. si your answer to this question

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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

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

solve for "x"

what's "y"? well, y = 100 - x

4 0

2 years ago

How do I solve this question

sammy [17]

The picture is kind of blurry could you please take a clearer one?

4 0

2 years ago

Find the slope.<br> (if it's a fraction with a whole number, write it as an improper fraction)

tiny-mole [99]

As you can see, every time x increases by 2, y decreases by 5.

So, we have

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{-5}{2}=-2\dfrac{1}{2}$

6 0

3 years ago

Question 30

aleksklad [387]

Answer:3

Step-by-step explanation:

6 0

3 years ago

As shown in the diagram of the right triangles below, Triangle: ABC ~ Triangle: DEF, AB = 7x, BC = 4, DE = 7, EF = x. What is th

charle [14.2K]

since triangles are similar

4/x = 7x/7

=》 4/x = x

=》x^2 = 4

=》 x = 2

for right triangles a^2 = b^2+c^2

DF^2 = 7^2+2^2 = 53

=》 DF = 7.28

perimeter of DEF = 7 +2+7.28 = 16.28

8 0

2 years ago