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3 years ago

What is being constructed based on the markings in the following diagram?

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

7 0

Answer:

Answer is off a point i took the test and got it right

Step-by-step explanation:

just took test

Galina-37 [17]3 years ago

4 0

Answer:

The correct option is;

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.

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megan hughes deposits 2100 in an account that pays simple interest. when she withdraws her money 11 months later, she receives $

USPshnik [31]

Answer:

The rate at which the account pay the deposit is 2 %

Step-by-step explanation:

Given as :

The principal amount deposited in account = $2100

The rate of interest = r % simple interest annually

The time period = 11 months = $\frac{11}{12}$ year

The amount received = $2138.50

Now, From Simple Interest method

Simple Interest = $\dfrac{\textrm Principal\times \textrm rate\times \textrm time}{100}$

Or, Interest = $\dfrac{2100\times r\times \frac{11}{12}}{100}$

Or, Interest = $\frac{21\times r\times 11}{12}$

Or, Interest = 19.25 r

Now, Interest = Amount - Principal

So, 19.25 r = $2138.50 - $2100

Or, 19.25 r = $38.5

∴ r = $\frac{38.5}{19.25}$

I.e r = 2

So, rate of interest = r = 2 %

Hence The rate at which the account pay the deposit is 2 % Answer

8 0

4 years ago

What equation represents the proportional relationship displayed in the table? x 0 2 7 12 y 0 10 35 60

mojhsa [17]

Y = 5x because 5 times the x number ( for ex. 12) is equal to the y number (60)

7 0

4 years ago

Read 2 more answers

Estimate large and small values using powers of ten

Darya [45]

Answer:

100 times

Step-by-step explanation:

125x100=12500

because its an estimate this is the closest value

6 0

3 years ago

Read 2 more answers

I need help with #13 please

defon

13.) (t⁻⁴)⁻⁹t² Now if the exponents outside of the parenthesis, that means you multiply them. t⁻⁴⁽⁻⁹⁾=t⁴⁵ Next, When it look like this: t⁴⁵ · t², don't multiply! When it comes to this, you had to add the exponents because it has the same base number: t⁴⁵⁺²=t⁴⁷.
Here's your answer to your question, t⁴⁷.

3 0

4 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

3 years ago