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3 years ago

A circle has a radius of 6 ft.

2 answers:

8 0

I'm assuming that 5π3 is in fact 5π/3

convert radian to degrees:

5π / 3 = 5(180°) / 3 = 900° / 3 = 300°

Area of the circle = π r²
A = 3.14 * (6 ft)²
A = 3.14 * 36 ft²
A = 113.04 ft²

Area of the sector:

113.04 ft² * 300°/360° = 94.2 ft²

The area of the sector formed by a central angle measuring 5π/3 radian is 94.2 ft²

ella [17]3 years ago

7 0

Answer: 94.2 I just took the test!

Step-by-step explanation:

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Please help, ill give brainliest, only if its right

alexira [117]

Answer:

it would be in the fourth quadrant, directly underneath where it is now. the base would be c and d

5 0

3 years ago

Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

19

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be 19.

4 0

3 years ago

Find the measure of the missing angle Please help me, I’ll give you points

Leno4ka [110]

Answer:

a = 28°

Step-by-step explanation:

62°+a° = 90°

a = 90 - 62

a = 28°

5 0

2 years ago

Read 2 more answers

From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.

Colt1911 [192]

Given:

• AD = 3

• DC = 27

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

$\frac{AD}{BD}=\frac{BD}{DC}$

Where BD is the altitude.

Cross multiply:

$BD^2=AD*DC$

Plug in the values and solve for x:

$\begin{gathered} (x+3)^2=3*27 \\ \\ (x+3)^2=81 \end{gathered}$

Take the square root of both sides:

$\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\ \\ x+3=9 \\ \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\ \\ x=6 \end{gathered}$

Therefore, the value of x is 6 .

ANSWER:

d. 6

4 0

1 year ago

How is 3 divided by 1.4 ...2.14? Working please!

musickatia [10]

Turn 1.4 into a whole number. Which makes 1.4 to 14. We know that 3 has a decimal point at the end. So move the decimal point of 3 to the right, making it 30. Now do 30/14. You will get...

30/14 = 2.14

GG ;)

5 0

3 years ago