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2 years ago

Convert the angle \theta=70^\circθ=70 ∘ theta, equals, 70, degrees to radians.

Mathematics

1 answer:

Daniel [21]2 years ago

4 0

Answer:

7/18 pi

Step-by-step explanation:

To convert from degrees to radians, multiply by pi/180

70 * pi/180

7/18 pi

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A bag contains 14 green, 12 orange and 19 purple tennis balls.

Nataliya [291]

Answer:

See explanation

Step-by-step explanation:

There are 14 green, 12 orange and 19 purple tennis balls in the bag,

$14+12+19=45$ balls in total.

A. The propbabilities that

a randomly chosen ball from the bag is green $=\dfrac{14}{45};$

a randomly chosen ball from the bag is orange $=\dfrac{12}{45}=\dfrac{4}{15};$

a randomly chosen ball from the bag is purple $=\dfrac{19}{45}.$

A probability model for choosing a tennis ball from the bag is

$\begin{array}{lccc}\text{Ball}&\text{Green}&\text{Orange}&\text{Purple}\\ \\\text{Probability}&\dfrac{14}{45}&\dfrac{4}{15}&\dfrac{19}{45}\end{array}$

B. Suppose a tennis ball is randomly selected and then replaced 75 times. You can expect that orange ball appear

$\dfrac{4}{15}\times 75=4\times 5=20$ times

5 0

2 years ago

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Natalija [7]

Answer:

$4(x-5)(3{x}^{2}+1)$

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into $12x^3,-60x^2,4x,$ and $-20$ ?

It is $4.$

2 - What is the highest degree of $x$ that divides evenly into $12x^3,-60x^2,4x,$ and $-20$ ?

It is 1, since $x$ is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

$4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})$

3) Simplify each term in parentheses.

$4(3{x}^{3}-15{x}^{2}+x-5)$

4) Factor out common terms in the first two terms, then in the last two terms.

$4(3{x}^{2}(x-5)+(x-5))$

5) Factor out the common term $x-5$ .

$4(x-5)(3{x}^{2}+1)$

5 0

1 year ago

Solve for x in simplest form.<br>14 = 1/3(8x + 6)

elena-s [515]

Answer:

x = 4.5

Step-by-step explanation:

14 = 8/3x + 2

12 = 8/3x

36 = 8x

x = 4.5

5 0

3 years ago

8x + 6 - 2x = 34 x= ?

e-lub [12.9K]

8x + 6 - 2x = 34x

Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x

Subtract 6x from both sides:
6 = 34x- 6x

Simplify 34x - 6x to 28x:
6 = 28x

Divide both sides by 28:
$\frac{6}{28}$ = x

Simplify $\frac{6}{28}$ to $\frac{3}{14}$ :
$\frac{3}{14}$ = x

Now switch sides and the answer is:

x = $\frac{3}{14}$

:) <3

5 0

3 years ago

Read 2 more answers

Sales rise from £400 a week to £504 a week. Calculate a percentage increase

soldier1979 [14.2K]

Step-by-step explanation:

previous =£400

present=£504

percentage=(£504-£400)/£504*100

=104/£504*100

=20.63%

3 0

3 years ago