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3 years ago

Please help! Fast! It needs to be done and show me the steps.

Mathematics

1 answer:

mr_godi [17]3 years ago

4 0

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Formula
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Sum of all exterior numbers = 360°

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Apply Formula
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z + 45 + 55 + 78 + 74 + z = 360

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Combine likes term
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2z + 252 = 360

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Take away 252 from both sides
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2z = 360 - 252
2z = 108

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Divide by 2 on both sides
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2z = 108
z = 108 ÷ 2
z = 54

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Find z + 45
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z + 45 = 54 + 45
z + 45 = 99°

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Answer: 99°
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Help Me With This Question Please!

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Answer:

60°

Step-by-step explanation:

x + 160° + 140° = 360°

x + 300° = 360°

x = 360° - 300°

x = 60°

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3 years ago

a team of runners need to run a 1/4 mile relay, if each runner must run 1/16 mile,,how many runners will be needed.

kirza4 [7]

4 runners are needed to do the race

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3 years ago

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A 2,000-foot-long fence will be used to enclose a rectangular field that is three times as long as it is wide. What is the lengt

BartSMP [9]

I think it's another trick question and the answer is 2000.

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2 years ago

When a person is breathing normally the amount of air in their lawns varies sinusoidally. When full Karen’s lungs hold 2.8 L of

makkiz [27]

Answer:

$A(t) = 2.2\sin \frac{(t - 2)\pi }{6} + 0.6$

Step-by-step explanation:

Let the function of quantity in the lung of air be A(t)

So $A(t) \alpha \sin (\frac{t - \alpha }{k} )$

so, A(t) = Amax sin t + b

A(t) = 2.8t⇒ max

A(t) = 0.6t ⇒ min

max value of A(t) occur when sin(t) = 1

and min value of A(t) = 0

So b = 0.6

and A(max) = 2.2

$A(t) = 2.2\sin \frac{(t)}{k} + 0.6$

at t = 2 sec volume of a is 0.6

So function reduce to

$A(t) = 2.2\sin \frac{(t - 2)}{k} + 0.6$

and t = 5 max value of volume is represent

so,

$\sin \frac{t - \alpha }{k} = 1$

$\frac{t - 2}{k} = \frac{\pi }{2}$ when t = 5

$\frac{6}{\pi } = k$

so the equation becomes

$A(t) = 2.2\sin \frac{(t - 2)\pi }{6} + 0.6$

7 0

3 years ago

Find the value of x and y so that both proportions will be correct:

andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

<em><u>Explanation</u></em>

The given proportions are.....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}$ and $y:1.5=0.2:0.75$

From the second proportion, we will get....

$y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4$

Now, we will plug this $y=0.4$ into the first proportion. So we will get....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2$

So, the values of x and y are 0.2 and 0.4 respectively.

6 0

3 years ago