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3 years ago

the interior angle of a regular hexagon is 120° work out the sum of the six reflex angles at the vertices of a regular hexagon

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer:

I'm not 100% sure but isn't a reflex angle the difference between the angle and 360°?

Then 360° - 120° = 240°

240° x 6 = 1440°

Step-by-step explanation:

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19 1/2 is 3/4 of what number?

steposvetlana [31]

Answer:

19.5 = 0.75x

x = 26

I hope this finds you well and have a great day.

7 0

2 years ago

Write a formula that will compute the final grade for the course, using G to represent the final grade, H to represent the homew

Tasya [4]

Answer:

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

Step-by-step explanation:

Solution:

Suppose grade breakdown for certain college course is as follow:

Homework = 15%

Quizzes = 20%

Project = 10%

Test = 40%

Final exam= 15%

Let G represent the final grade

H represents homework average,

Q represents quizzes and P represent project, T represent test average and F represent final exam.

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

8 0

3 years ago

A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

3 years ago

Solve the inequality and graph the solution on the line provided.<br> -7x + 8< -6

HACTEHA [7]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-7x+8<-6 Equation/Question

Step 2

-7x+8<-6 Simplify

-7x+8<-6

Step 3

-7x+8<-6 Subtract 8

-7x<-14

Step 4

-7x<-14 Divide sides by -7

answer

x>2

Hope this helps

7 0

2 years ago

What is the mean of the set {4, 6, 8, 10}?

olga2289 [7]

Answer:

Step-by-step explanation:

8 I think

3 0

3 years ago

Read 2 more answers