MATHEMATICS HIGH SCHOOL

A circle has a diameter of 6 cm. What is its area?18.84 cm 2
37.68 cm 2
28.26 cm 2
9.42 cm 2

Answers

Answer 1
Answer:

C. 28.26 cm 2

How do you calculate the diameter of a circle?

Diameter = 2 * Radius (r) Area of the circle radius. The radius of the circle calculator uses the following area of the circle formula, Area of a circle = π * r 2

What is the area of a circle with diameter 6 centimeters?

Area = π· ( d2) 2 = 3.14· ( 62) 2 = 3.14· (3) 2 = 28.27 square centimeters (*) Area = C2 4π = 18.852 4π = 355.32(4·3.14) = 355.3212.56 = 28.27 square centimeters (*)

The first formula is A=πr², or the second formula is d=2r. Now, we could solve for a,

A=1/4πd²=1/4*π*6²=28.27433cm²,

Therefore, the solution is 28.26 cm 2

Learn more about diameter of a circle here brainly.com/question/732113

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Answer 2
Answer: Hey there, we are going to use two formula's, the first formula is A=πr², and the second formula is d=2r. Now, we can solve for a, A=1/4πd²=1/4*π*6²=28.27433cm², Therefore, the answer is 28.26 cm 2

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What is √25 times√81 times 0?

Answers

Well, when any equation has a 0 multiplied into it, the answer will be zero.
Anyway, √25 equals 5 
√81 equals 9 
9*5 = 45
45 * 0 = 0
I hoped I helped!

Which sentence uses punctuation correctly? a. The last book in the series, borrowed from a classmate, is quite long.
b. The last book in the series borrowed from a classmate is quite long.
c. The last book in the series borrowed from a classmate, is quite long.
d. The last book in the series, borrowed from a classmate is quite long.

Answers

It would probably be A because it makes more sence

transform the quadratic function y=-2x^2-12x-10 into vertex form. find the vertex, x and y intercepts.

Answers

The\ vertex\ form\ of\ y=ax^2+bx+c:y=a(x-h)^2+k\n\nwhere\ h=(-b)/(2a)\ and\ k=f(h)=(-(b^2-4ac))/(4a)\n-----------------------------\n\ny=-2x^2-12x-10\n\na=-2;\ b=-12;\ c=-10\n\nh=(-(-12))/(2(-2))=(12)/(-4)=-3\n\nk=f(-3)=-2(-3)^2-12(-3)-10=-2\cdot9+36-10=-18+26=8\n\ntherefore:y=-2(x-(-3))^2+8\to\boxed{y=-2(x+3)^2+8}\leftarrow The\ vertex\ form


y-intercept\to f(0)=-2(0^2)-12(0)-10=\boxed{-10}\leftarrow y-intercept


x-intercept\ if\ y=0\n\n-2x^2-12x-10=0\ \ \ \ \ |divide\ both\ sides\ by\ (-2)\nx^2+6x+5=0\nx^2+x+5x+5=0\nx(x+1)+5(x+1)=0\n(x+1)(x+5)=0\iff x+1=0\ or\ x+5=0\n\n\boxed{x=-1\ or\ x=-5}\leftarrow x-intercept
y=-2x^2-12x-10
to find the x value of the vertex find the axis of symmetry which is
-b/2a
=12/2(-2)
=-3
to find the y value of the vertex sub the axis of symmetry back into the original equation. 
y=-2(-3)^2-12(-3)-10
y=8
vertex=(-3,8)
to put it into vertex form use y=a(x-h)^2 +k where h and k are the x and y values of the vertex respectively. 

y=-2(x--3)^2 +8
y=-2(x+3)^2+8

to find the x intercept let y=0

-2x^2-12x-10=0
x^2+6x+5=0 
use quad formula and you will get 
x=-5 and -1

to find the y intercept let x=0

y= -2(0)^2-12(0)-10
y=-10

Andre bought a new bag of cat food. The next day, he opened it to his cat. The graph shows how many ounces was left in the bag on the days after it was bought. How many ounces of food were in the bag 24 days after Andre bought it?

Answers

16 ounces of cat food was in the bag, on 24th day

Given : The y axis represents dependent variable ie the 'ounces of cat food' , and x axis represents independent variable ie 'days since bag was bought'

To find : Value of y ie ounces of food - on a particular value of x ie days since bag bought , we draw a straight vertical line from value of x to the curve & correspond it to y axis.

From x = 24, if we draw a straight vertical line to the graph - it touches the point ( x,y ) = (24, 16). Extending it further to y axis, we get value of y ie 'ounces of food' = 16

To learn more, refer brainly.com/question/18385183?referrer=searchResults

Answer:

There were 16 ounces of Cat Food after 24 days.

Step-by-step explanation:

From the graph attached,

For an ordered pair (x, y) lying on the graph,

x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.

Now the value x = 24 on x-axis shows the number of days since the bag was bought.

For x = 24, ounces of cat food in the bag ( y ) = 16 ounce

Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.

A city is concerned that cars are not obeying school zones by speeding through them, putting children at greaterrisk of injury. The speed limit in school zones is 15 miles per hour. Throughout the course of one day, a police officer
hides his car on a side street that intersects the middle of the school zone and records the speed of each car that
passes through. The 36 cars that he recorded had an average speed of 16.33 mph with a sample standard deviation
of 2.54 mph.
Calculate the appropriate test statistic (Give as a decimal rounded to the nearest thousandth).

Answers

Answer: test statistic = 0.002

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 15

For the alternative hypothesis,

µ > 15

The inequality sign means that it is right tailed.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 36,

Degrees of freedom, df = n - 1 = 36 - 1 = 35

t = (x - µ)/(s/√n)

Where

x = sample mean = 16.33

µ = population mean = 15

s = samples standard deviation = 2.54

t = (16.33 - 15)/(2.54/√36) = 3.14

We would determine the p value using the t test calculator. It becomes

p = 0.002

I’m dumb so I need help

Answers

yea ur smarter than u think
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