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3 years ago

What is the area of a sector with a central angle of 3pi/5 radians and a diameter of 21.2cm

Mathematics

1 answer:

Elenna [48]3 years ago

8 0

Answer: 105.84 cm^2

To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%.

Now, find the area of the circle. It's pi x r^2, so the area is 352.810.

Multiply this by 30% to find our area of 105.84 cm^2

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there is a line that includes two point (-1,0) and has a slope of 19. What is its equation in slope-intercept form?

shusha [124]

Answer:

Step-by-step explanation:

m = 19 ; (-1,0)

y - y₁ = m (x - x₁)

y - 0 = 19 (x - [-1] )

y = 19 ( x + 1 )

y = 19x + 19

4 0

3 years ago

A light bulb consumes 960 watt-hours per day. How many watt-hours does it consume in

Kobotan [32]

960 watt-hpd

5 x 60/6 = 50

50 x 960 = 48,000

Answer is: -->> 48,000

5 0

3 years ago

What is a simplified eCarlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?Xpression

stira [4]

Questions:

(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that $3y + 5y^3$ is the same as $8y^4$ . Which statement shows that it is NOT the same?

Answer:

$(x + y) - (x - y) =2y$

$3y + 5y^3 \ne 8y^4$

Step-by-step explanation:

Solving (a):

Given

$(x + y) - (x - y)$

Required

Simplify

$(x + y) - (x - y)$

Open brackets

$(x + y) - (x - y) = x + y - x + y$

Collect Like Terms

$(x + y) - (x - y) = x - x+ y + y$

$(x + y) - (x - y) = y + y$

$(x + y) - (x - y) =2y$

Solving (b):

Given

$3y + 5y^3$ and $8y^4$

Required

Which expression shows they are not the same

The expression that shows this is:

$3y + 5y^3 \ne 8y^4$

Take for instance; y=2

Substitute 2 for y in $3y + 5y^3 \ne 8y^4$

$3*2 + 5*2^3 \ne 8*2^4$

Evaluate all exponents

$9 + 5*8 \ne 8*16$

$9 + 40 \ne 128$

$49 \ne 128$

The above expression supports $3y + 5y^3 \ne 8y^4$

5 0

3 years ago

Joanna went school supply shopping. She spent $27.75 on notebooks and pencils. Notebooks cost $2.30 each and pencils cost $1.25

GaryK [48]

Answer:

The answer is A. 5 notebooks and 13 pencils

Step-by-step explanation:

1. Identify your x and y variables.

x - number of notebooks

y - number of pencils

2. Set up two equations to come up with a system of linear equations.

x + y = 18

2.3x + 1.25y = 27.75

3. In order to solve for one of the variables (either x or y), multiply the first equation with the additive inverse (when added together, the answer is zero; one number will be positive while the other number will be negative) of the coefficient of either x or y, so you can eliminate that variable. In this case, I choose the coefficient of y which is 1.25. So, the first equation will look like this:

-1.25(x + y) = 18

-1.25x - 1.25y = -22.50

4. Next, eliminate the y variable and solve for x.

-1.25x - 1.25y = -22.50

2.3 x + 1.25 y = 27.75

__________________

1.05 1.05

x = 5 Joanna bought 5 notebooks.

5. Then, solve for y.

5 + y = 18

y = 18 - 5

y = 13 Joanna bought 13 pencils.

If you want to check your work, just plug in 5 and 13 into one of the two original equations. Simplify the equations, and you should get a true statement.

5 + 13 = 18

18 = 18

6 0

4 years ago

I need help with 3 and 4 pls

vladimir2022 [97]

Answer U cant answer 4 without answering 3 good luck

Step-by-step explanation:

7 0

3 years ago