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prisoha [69]
3 years ago
14

What is the equivalent degree angle measure of 5π3 radians?

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

300 degrees

Step-by-step explanation:

"To convert from radians to degrees, we use the following fact: π radians = 180°" - study

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A right rectangular prism's edge lengths are 14 inches, 6 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 2/5
DochEvi [55]

ANSWER

4375 unit cubes

EXPLANATION

The volume of a right rectangular prism is given by;

V=lbh

We substitute the given dimension to obtain,

V=14 \times 6 \times  \frac{10}{3}  = 280i {n}^{3}

The volume of the unit cube with edge lengths

\frac{2}{5}

is

(\frac{2}{5})^{3}  =  \frac{8}{125}  {in}^{3}

To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.

=  \frac{280}{ \frac{8}{125} }

= 4375

7 0
3 years ago
The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
Fill in the table of values for the equation y = x + 2​
sweet [91]

Answer:

-3

2

5

Step-by-step explanation:

3 0
3 years ago
What integer is equivalent to 9 and 3 halves
sweet [91]

Answer:

6 is the integer which is equivalent to 9 and 3 halves

Step-by-step explanation:

we have to find the integer which is equivalent to 9 and 3 halves

Rule of halves means the restatement of meaning of median. Therefore, we have to find the median of these two integers 9 and 3.

Median of 9 and 3 is \frac{9+3}{2}=\frac{12}{2}=6

Hence, 6 is the integer which is equivalent to 9 and 3 halves

7 0
3 years ago
What is the greatest common factor (GCF) of the numerator and denominator in the rational expression below? 6x-18/x^2-5x+6
brilliants [131]

Numerator 6x - 18 = 6(x - 3)

Denominator x^2 - 5x + 6 = (x - 3)( x - 2)

8 0
3 years ago
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