MATHEMATICS HIGH SCHOOL

The measure of central angle RST is radians. What is the area of the shaded sector? 4Pi units squared8Pi units squared
16Pi units squared
20Pi units squared

Answers

Answer 1
Answer:

Answer:

"8\pi units squared"

Step-by-step explanation:

The image of the circle is attached.

The shaded area of the circle is basically HALF of the whole circle. If we can get the area of the circle, we will halve it, to get our answer for area of shaded region.

Area of circle is given as:

A=\pi r^2

Where

A is area

r is the radius

Looking at the pic, the radius is "4", so we substitute and find area of circle:

A=\pi r^2\nA=\pi (4)^2\nA=\pi (16)\nA=16\pi

THe shaded area is HALF of that, so:

Area of Shaded = (16\pi)/(2)=8\pi sq. units.

Answer is "8\pi units squared"
Answer 2
Answer:

Answer:

its 8

Step-by-step explanation:

i got it right

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assume the substance has a half-life of 11 years and the initial amount is 126 grams.How long will it be until only 15 % remains?

Answers

(126) times (1/2 to the x/11 power) = 15% times 126

(1/2) to the x/11 power = 0.15

Take the log of both sides :

(x/11) times log(1/2) = log(0.15)

Multiply both sides by 11 :

'x' times log(1/2) = 11 x log(0.15)

Divide both sides by " log(1/2) " :

x = 11 x log(0.15)/log(1/2) = 30.107 years (rounded)

That's the time it takes for any-size sample of this substance
to decay to 15% of its original size.

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

Answers

so we want to know the vertex point of the equation f(x)=-(x+8)(x-14). First lets simplify the equation: f(x)=-x^2+6x+112. Now lets calculate the vertex by transforming the function to the form: f(x)=a(x-h)^2 + k where h and k are vertex coordinates. So: f(x)= (-x^2+6x+9)+121=-(x-3)^2+121 and the vertex point is (3,121).

Answer:

D.121

Step-by-step explanation:

What is 3/5 minus 1/4?

Answers

7/20 since 3/5 is 12/20 and 1/4 is 5/20
first get a common denominator, 5 and 4 share 20 as a least common denominator. next, multiply the tops to match the bottom. 12/20 – 5/20 = 7/20

How many radians are in 300 degrees?

Answers

There are 5π/3 radians in 300 degrees.

To convert degrees to radians, we can use the formula:

Radians = Degrees x (π / 180)

Given that we want to convert 300 degrees to radians, we can plug this value into the formula:

Radians = 300 x (π / 180)

Simplifying this expression, we get:

Radians = 5π/3

Therefore, there are 5π/3 radians in 300 degrees.

Learn more about radians here;

brainly.com/question/28990400

#SPJ6
There are 2\pi radians in 360 degrees, so there are 5\pi/3 radians in 300 degrees.

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q

Answers

If p is not the hypothesis of a conditional statement then q is not the conclusion

A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 toppings?

Answers

  You need to "choose" three toppings, which means you need to do a combination (versus a permutation, which would only be needed if you cared about the order that the toppings are added to the pizza, which you obviously don't care about). The combination formula is n!/(r!(n-r)!). 
12!/(12-3)!(3!)= 220 ways to choose toppings. 
**know that ! Means 12*11*10*9...*3*2*1 

Then multiply that by the 6 cheeses to get 220*6 = 1,320 ways. (Each choice of three different toppings can be paired with six different choices for cheese)
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