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2 years ago

Approximately how many square inches of space are blank?

Mathematics

1 answer:

ddd [48]2 years ago

3 0

Answer:

blank area = 1.5π units²

Step-by-step explanation:

area of full circle = πr² = π6² = 36π units²

blank area = (15/360)(36π) = 1.5π units²

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Input output please

dlinn [17]

Step-by-step explanation:

<h2>hope it helps.</h2><h2>stay safe healthy and happy.</h2>

8 0

2 years ago

Trisha noticed that three copies of a certain triangle could be arranged in a way that the three angles of the triangle form a s

anyanavicka [17]

C) sum of interior angles must be 180°.

This is because a straight line = 180°, so if the interior angles of a triangle = 180° they can form a straight line if arranged correctly.

8 0

3 years ago

A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

5 0

2 years ago

-x+4y=24 and -2x+y=-8 as an ordered pair

Stels [109]

Answer: (8,8)

Step-by-step explanation:

First you need to get a x or y by itself.

I choosed to get y by itself since it would be faster.

-2x + y = -8 (first get -2x to the other side so add 2x)

y = -8 + 2x (then you want to insert that to the other equation)

-x + 4( -8 +2x) = 24 -> -x -32 + 8x = 24 -> 7x -32 = 24

(add 32 to the other side)

7x = 56 (divide 7 to 56 to get x) x = 8

now insert into the other equation

-2( 8 ) + y = -8 -> -16 + y = -8 ( move -16 to the other side, so add 16)

then you get your answer, y= 8

5 0

3 years ago

Read 2 more answers

What is 80 increase by 75%

11111nata11111 [884]

Answer: 80, percentage increased by 75% (percent) of its value = 140

Step-by-step explanation:

8 0

3 years ago