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4 years ago

What’s the trapezoids missing length?

Mathematics

1 answer:

V125BC [204]4 years ago

5 0

Answer:

Step-by-step explanation:

Let CD = x

(x + 40)/2 = 31 The midline is 1/2 the sum of the 2 bases. multiply by 2 on both sides.

x + 40 = 31 * 2

x + 40 = 62 Subtract 40 from both sides.

x +40-40 = 62 - 40 Combine

x = 22

Check

(22 + 40)/2

62 / 2

31 = PQ

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One more time!

CaHeK987 [17]

Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

$\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}$

so we conclude that
$q(\frac{\sqrt{19} }{2} ) = 1/4$

therefore

$p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right) \right)$

plug $x=\sqrt{19}/2$ into p( q(x) ) to get answer

$p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left( \frac{\sqrt{19} }{2}\right)^2 }{ \left( \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow$

$\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow -\dfrac{6\sqrt{19} }{361}$

$p(1/4) = -\dfrac{6\sqrt{19} }{361}$

3 0

3 years ago

Help me please I'm stuck!

alisha [4.7K]

My teachers taught me a trick make a C from the top to bottom

so 5 1/2 would be

5 times 1 + 2 so denominator stays the same so it 7/2.

bottom one is 22/4

make a C from top to bottom and multiply outer number to top add the bottom to that then keep denominator the same.

Hope i helped.

3 0

3 years ago

What is this expression in simplest form?<br> x²+x-2/x³-x²+2x-2

Nonamiya [84]

Answer:

Simplified to lowest possible would be $\frac{x +2}{x^{2} + 2}$

Step-by-step explanation:

4 0

3 years ago

the sugar-sweet company is going to transport its sugar in to Market it will cost $6,500 to rent trucks plus $150 for each ton o

Inessa05 [86]

Answer:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

Step-by-step explanation:

3 0

3 years ago

The diagram shows a scale drawing of a playground the scale of the drawing is 1:500 work out the perimeter of the real playgroun

liraira [26]

Answer:

Check Explanation

Step-by-step explanation:

The complete question plus diagram is presented in the attached image to this solution.

From the attached image, the dimensions of the playground drawn will be a bit variable now as zooming and some editing might have tampered with the original intended dimensions to be measured.

But still, let us assume that on measuring the rectangular playground shown, we obtain approximately that the length is 4.5 cm and the breadth is 2 cm.

The scale to convert to real life is 1;500 indicating that

1 cm on the drawing = 500 cm lenght units of the real playground.

So,

4.5 cm on the drawing = 4.5 × 500 = 2250 cm of the playground

2 cm on the drawing = 2 × 500 = 1000 cm of the playground.

Hence, the real life dimensions of the playground is 2250 cm by 1000 cm.

In meters, that is 2.25 m by 1 m

The perimeter of a rectangular figure is given as

Perimeter = 2(Length + Breadth)

= 2(2.25 + 1)

= 6.5 m

Hope this Helps!!!

5 0

3 years ago