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2 years ago

11 The two trapezoids shown below are

Mathematics

1 answer:

Damm [24]2 years ago

3 0

Answer:

9.6 (D)

Step-by-step explanation:

You know that when they are similar, they have a ratio. Assume that WT is x. 6:10 is the ratio, or 3:5.

So, what number is x when x:16=3:5?

(two ways)

1. You can cross multiply

x/16 = 3:5, 3x16=5x

48=5x

x=9.6

2. You can do it by looking at the answer choices and simplifying them.

10:16=5:8

3.8:16=1.9:8

12:16=3:4

9.6:16=4.8:8=

2.4:4

0.6:1

6:10

YES

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Okay, help me out here!!

luda_lava [24]

Answer:

65.8

Step-by-step explanation:

(2.6*4.7)/2=6.11

11*4.7=51.7

(4.7(17-(2.6+11)))/2=7.99

6.11+51.7+7.99=65.8

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4 years ago

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julsineya [31]

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2 years ago

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marta [7]

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Then, we subtract

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2 years ago

Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (

Alexxandr [17]

Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

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3 years ago

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

3 years ago