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2 years ago

3(7+x to the power of two);x=2

Mathematics

1 answer:

JulijaS [17]2 years ago

5 0

Answer:

$33$

Step-by-step explanation:

$3(7+x^{2}); x=2$

$=3(7+2^{2})$

$=3(7+4)$

$= 33$

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Help of using proportion to solve problems

Sindrei [870]

Hint: it will help to change all denominators to the same one using gcf or lcm

4 0

3 years ago

Is anyone able to figure this out, I can't do this

katrin [286]

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem $a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

$\implies r^2 + r^2 = c^2$

$\implies 2r^2 = c^2$

$\implies c=\sqrt{2r^2}$

So the diagonal of the square = $\sqrt{2r^2}$

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

$\implies \sqrt{2r^2}+r=1$

$\implies \sqrt{2r^2}=1-r$

$\implies 2r^2=(1-r)^2$

$\implies 2r^2=1-2r+r^2$

$\implies r^2+2r-1=0$

Using the quadratic formula to calculate r:

$\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}$

$\implies r=\dfrac{-2\pm\sqrt{8}}{2}$

$\implies r=-1\pm\sqrt{2}$

As distance is positive, $r=-1+\sqrt{2}=\sqrt{2}-1$ only

5 0

2 years ago

Read 2 more answers

Will someone help me with this

Marina CMI [18]

hope this helps :)

.........

3 0

2 years ago

Simplify. 6/2 + 4/2

antiseptic1488 [7]

The answer is 5. You get 5 by added the 6 and 4 together to get 10 and the 2 is lowest you can go so you keep that the same.

8 0

3 years ago

Read 2 more answers

Three judges measure the lap times of a runner and each measurement is different from the others by a few hundredths of a second

ohaa [14]

Answer:

Systematic error

Step-by-step explanation:

Assuming that none of the judges are biased, the most likely reason for this difference is the occurrence of systematic errors.

Systematic errors are errors introduced by inaccuracy in the experimental design, be it in the observation or measurement process.

In this case, the reaction time from observing the finish and stopping the clock for each judge might be different, which configures a systematic error.

6 0

3 years ago