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Yuki888 [10]
3 years ago
9

Pls help ASAP it’s number nine

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

Answer:

<h2>150°</h2>

Step-by-step explanation:

Sum \:of\:angles = 360\° \\\\1/3x\° +(x-20)\° +(x-10)\° +40\° = 360\°\\\\1/3x\° +x\°-20+x\°-10+40=360\°\\\mathrm{Group\:like\:terms}\\\frac{1}{3}x\°+x\°+x\°-20-10+40=360\°\\\\\mathrm{Add\:similar\:elements:}\:x+x=2x\\\frac{1}{3}x\°+2x\°-20-10+40=360\°\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-20-10+40=10\\\frac{1}{3}x\°+2x\°+10=360\°\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\\frac{1}{3}x\°+2x\°+10-10=360\°-10\\\\\frac{1}{3}x\°+2x\°=350\°\\

\mathrm{Multiply\:both\:sides\:by\:}3\\\frac{1}{3}x\°\times \:3+2x\times \:3=350\°  \times \:3\\Simplify\\x+6x=1050\°\\\\7x=1050\\\\\frac{7x}{7}=\frac{1050\°}{7}\\\\x =150\°

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Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even
IrinaK [193]

Answer:

The small tire would make about  127 rotations.

The large tire would make about  38 rotations.

b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.

Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.

A bicycle with would allow you to travel farther with each rotation of the pedal.

The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.

C= 188.49\text{inches}

C= 56.55\text{inches}

Step-by-step explanation:

- Big wheel 60 inches

- Small wheel 18 inches.

a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.

Considering: C=\pi d

Large tire:

C=60\pi

C= 188.49\text{inches}

$C=\frac{188.49}{12} = 15.7 \text{feet}$

$\frac{600 }{15.7} = 38 \text{rotations}$

Small tire:

C=18\pi

C= 56.55\text{inches}

$C=\frac{56.55}{12} = 4.71 \text{feet}$

$\frac{600 }{4.71} = 127 \text{rotations}$

8 0
3 years ago
Are the expressions equivalent 7y + 21 and 3(2y+7)+y
DochEvi [55]

Answer:

Yes

Step-by-step explanation:

3(2y + 7) + y

6y + 21 + y

7y + 21

4 0
3 years ago
Read 2 more answers
Click here please. The problems are in picture format
padilas [110]

First picture:

You got the first two right (good job!), so I'll just tackle the third one. If you have to compute f(x-4), it means that you have to substitute x-4 in place of x. Differently from the first two points, this will generate a new function, rather than a specific value:

f(x) = \sqrt{x+4}+2 \implies f(x-4) = \sqrt{(x-4)+4}+2 = \sqrt{x}+2

Second picture:

Given the point (x,y) highlighted in the picture, you can deduce that the base is 2x units long (since it spans from (-x,0) to (x,0)) and the height is y units long (because it spans from (x,0) to (x,y)). So, the area of the rectangle is the multiplication between base and height:

A = 2xy

But we know that y=f(x)=\sqrt{36-x^2}, so we have

A = 2x\sqrt{36-x^2}

The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have

36-x^2 \geq 0 \iff x^2 \leq 36 \iff -6 \leq x \leq 6

But since the problem is symmetric, the answer is

0 \leq x \leq 6

You can only see the answer 0 < x < 6 because, if you choose x=0 or x=6, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently

4 0
4 years ago
Sarah has $100 in her saving account. She saves $50 per month. How much will she have in x amount of months?
vitfil [10]
A month =$50
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8 0
4 years ago
QUESTION 11
notsponge [240]

Answer:

8

Step-by-step explanation:

3( 2 + 2 ) - 4

3( 4 ) - 4

12-4

8

3 0
3 years ago
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