Circumference of a circle with the given radius 36 inches

Answers

Answer 1
Answer: the answer is 226.19 in

Answer 2
Answer: Answer is 226.08 inches As circumference is 2πr Where π=3.14 radius r = 36 inches Circumference will be 2 π r 2 x 3.14 x 36 6.28 x 36 226.08 So the answer will be 226.08 inches

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Solve for y y ^ (2/3) = 4

Two angles in a triangle add up to 135 degrees what is the size of the third angle?

Answers


This question is checking to see if you remember what the three angles
of any triangle always add up to.  Apparently you don't, or you would not
need to go out looking for somebody who does.

The three angles inside every triangle always add up to  180° .

If two of them add up to  135° , then that leaves

                           (180° - 135°) =  45° .

for the one remaining angle.

A certain bacteria population is known to quadruples every 150 minutes. Suppose that there are initially 200 bacteria. What is the size of the population after t hours?

Answers

This is a geometric progression
The size of the population afeter t hours will be=a₁*r^n

a₁= the first term =200
r=common ratio=4

150 minutes=150 minutes * (1 hour /60 minutes)=2.5 hours.

In this case:
the size of the populatation after t hours=200*4^t/2.5=200*4^0.4t

To check
 t=0⇒ the size will be=200*4⁰=200*1=200
t=2.5 hours=150 minutes; the size will be =200*4¹=800
t=5 hours; the size will be=200*4²=200*16=3200

Answer: the size will be= 200*4^(0.4t)

Final answer:

The growth of the bacteria is represented by the exponential growth equation. Given the initial population, the four-fold increase, and the time interval for the increase, we can find the population after any given time by using the equation P = 200 * 4^(t/2.5).

Explanation:

The problem given is an example of an exponential growth problem. For these types of problems, we use the formula P = P0 * e^(kt), where P is the final population, P0 is the initial population, k is the growth rate, and t is time. However, in this case, we were given that the bacteria quadruples, meaning 'quadrupling' is not a continuous rate, so we use a slightly different form of the equation: P = P0 * (b)^(t/t0), where b is the times increase and t0 is the time interval for the b-fold increase.

Given that the initial population P0 is 200 bacteria, b is 4 because the population quadruples every 150 minutes, and time t0 is 150 minutes or 2.5 hours. We need to find the population P after t hours. Substituting these values into our equation gives us: P = 200 * 4^(t/2.5).

So, after t hours, the population of the bacteria will be given by the equation P = 200 * 4^(t/2.5).

Learn more about Exponential Growth here:

brainly.com/question/12490064

#SPJ2

Each week, Marcia travels to the office where she works, the supermarket, and a local fitness center. The three locations represent the vertices of a triangle. Marcia wants to move to an apartment that is equidistant from these three places. Where should her new apartment be located? The center of the inscribed circle of the triangle

the center of the circumscribed circle of the triangle

the point of intersection of the angle bisectors for the triangle

the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle

Answers

the point of intersection of the  perpendicular bisectors and the angle bisectors

Answer:

D

Step-by-step explanation:

Just did the test.

A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon of gas?

Answers

we know that
by using proportion
(311 miles)/(12 gallons) = (x miles)/(1 gallon)  \n x= (31.1)/(12)  \n x=25.9 miles

the answer is
25.9 miles
Number of miles that can be traveled on one gallon of gas=311/12
                                                                                           =25.92miles
                                                                                 =25.9miles(to the nearest tenth)

Which shows a correct order to solve this story problem? Each morning Mike bikes 3.5 miles. Each afternoon he bikes 2.3 miles. How many miles will Mike have biked in 6 days? A. Step 1: Multiply 3.5 by 6. Step 2: Multiply 2.3 by 6. Step 3: Subtract the two products.
B. Step 1: Multiply 3.5 by 2.3. Step 2: Divide the product by 6.
C. Step 1: Multiply 3.5 by 2.3. Step 2: Multiply the product by 6.
D.Step 1: Multiply 3.5 by 6. Step 2: Multiply 2.3 by 6. Step 3: Add the two products. 10 points + 5 points if you have the brainly's answer

Answers

ok so
since we h ave
3.5=1 day's morning
and
2.3=1 day's afternoon
we need to add them to find 1 day and multiply by 6 (number of days)
that answer is not listted so we make into anohter form
this wold be
6 times (3.5 +2.3)
if we distributed
a(b+c)=ab+ac
6(3.5+2.3)=6 times 3.5+6 times 2.3

this is D
The answer is D
Step 1 (3.5 X 6 ) = 21 miles
Step 2 (2.3 X 6 ) = 13.8 miles
Step 3 So total is (21 + 13.8) miles = 34.8 miles

A triangular bandana has an area of 78 square inches. The height of the triangle is 9 3
4
inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base.

An equation to find the length of the base of the triangle is 78=
The length of the base of the triangle is inches.

Answers

Area of a triangle = 1/2 × base × height

Plug in what we know.

78 = 1/2 × b × 9¾

Multilply each side by 2 to get rid of the 1/2...

156 = b × 9¾

Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)

156 = b × 39/4

Multiply each side by 4...

624 = b × 39

Divide each side by 39...

16 = b

Done! The length of the base of the triangle is 16 inches.