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2 years ago

A circle has a circumference of 120 meters What is the measure of its radius? Round

Mathematics

1 answer:

pishuonlain [190]2 years ago

4 0

Answer:

C.) 19.1

Step-by-step explanation:

$C=2$ π $r$

$120=2*3.14*r$

Divide by pi

$\frac{120}{3.14}=2r\\ \\38.22=2r$

Divide both sides by 2

$\frac{38.22}{2} =\frac{2r}{2} \\\\19.11=r\\\\r=19.1$

Done.

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

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3 years ago

The table shows Malena's bank account summery for a month. Which two values could be the remaining two debits ?

Bogdan [553]

b, but I'm not sure. this could very easily be incorrect. you may need to look this up on google first.

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3 years ago

What’s 5 4/9 as an improper fraction

strojnjashka [21]

Answer: 49/9

Step-by-step explanation:

9x5=45

45+4=49

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2 years ago

In calm water, the motorboat of Jana is moving at the speed of 16.5km/h. On a river, because of the current, the boat moves fast

ki77a [65]

Answer: 707 km/h

Step-by-step explanation:

let c = speed of current

16.5 + c = speed of sailboat downstream

16.5 - c = speed of sailboat upstream

distance = travel time * speed

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2(16.5 + c) = 5(16.5 - c)

33 + 2c = 82.5 - 5c

7c = 49.5

c = 7.07 km/h

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1 year ago

Two of the angles in a triangle measure 15° and 27°. What is the measure of the third angle?

VashaNatasha [74]

Answer:

103

Step-by-step explanation:

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2 years ago