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3 years ago

35 POINTS! BRAINLIEST! Please help! SHOW WORK!!

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

the solution is here,

the coordinate of centre of circle A is (3,2)

and the coordinate of centre of circle B is (3,0).

so the translation point from A to B is (3-0,0-2)=(3,-2).

Now the translation rule is given by (x+h,y+k)

where h is the tranalation anlong the x-axis and k is the translation along the y-axis.

For this problem, translation ruleis (x+3,y-2).

Then, radius of circle A(r1)=2 units

radius of circle B (r2)= 3 units

as the circle A is translated to B, the scale factor is

r2/r1=3/2=1.5

In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5

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1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m

LUCKY_DIMON [66]

Answer:

1.) $\sqrt{13.341}$ ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) $a^2 = b^2 + c^2 - 2bccosA$ --> law of cosines formula.

$a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)$ --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

$a^2 = 18 - 18cos75$ --> in between steps.

$a^2 = 13.341$ --> more simplifying.

$a(hypotenuse) = \sqrt{13.341} or 3.652$ --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

6 0

3 years ago

Each morning Kol rides 500m on an exercise bike. How many kilometers does he ride in one week?

fredd [130]

Answer:

3.5 km

Step-by-step explanation:

We know that 1000 meters = 1 kilometer

500 meters * 1 kilometer/1000m = 500/1000 kilometer = .5 km

He goes .5 km per day

There are 7 days in 1 week, so multiply by 7

7 * .5 km = 3.5 km

8 0

3 years ago

Please help me understand how to solve this(include steps)

Sidana [21]

I will say it is 8/4 if you simplified 8/4 by 4 it will be 2/1.

5 0

3 years ago

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu.Assume that the

worty [1.4K]

Answer:

95% confidence interval for the true mean cholesterol content of all such eggs.

(173.8175 , 196.1825)

Step-by-step explanation:

Step(i):-

Given mean of the sample x⁻ = 185 milligrams

Given standard deviation of the sample 'S' = 17.6 milligrams

Level of significance

∝ = 0.05

$t_({\frac{\alpha }{2} , n-1 }) = t_{0.025 ,11} = 2.2010$

Step(ii):-

95% confidence interval for the true mean cholesterol content of all such eggs.

$(x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })$

$(185 - 2.2010 \frac{17.6}{\sqrt{12} } , 185 + 2.2010 \frac{17.6}{\sqrt{12} })$

( 185 - 11.1825 , 185 + 11.1825)

(173.8175 , 196.1825)

Final answer:-

95% confidence interval for the true mean cholesterol content of all such eggs.

(173.8175 , 196.1825)

3 0

3 years ago

How would you solve this equation? Please show steps

Serhud [2]

Simple....

you have: $3x= \sqrt{12-12x}$

So...first you know you're trying to find x..

But, you have a square root on one side...to remove this you'd have to square both sides--->>>

$(3x)^{2} = \sqrt{12-12x} ^{2}$

Leaving you with....

$9x^{2} =12-12x$

Move the terms over and set it equal to zero.

-->>

$9x^{2}+12x-12=0$

Factor out a 3...

$3( 3x^{2} +4x-4=0)$

What multiplies to -12 and adds to 4?

6*-2=-12

6+-2=4

Leaving you with...

$3(3x-2)(x+2)=0$

Remember you're solving for 0....

3x-2=0

3x-2=0
+2 +2

3x=2

$\frac{3x}{3} = \frac{2}{3}$

x= $\frac{2}{3}$

Then-->>

x+2=0

x+2=0
-2 -2

x=-2

Thus, your answer.

4 0

3 years ago