MATHEMATICS HIGH SCHOOL

What is the measure of DE?
51

56

68

85

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given: From the given figure, it is given that arcDC=112° and arcAB=72°.

To find: the measure of DE.

Solution: From the given figure, it is given that arcDC=112° and arcAB=72°.

Now, it is given that ∠DOC=112° and ∠EOC=180° (straight line)

thus, using the property that the sum of angles around a point is 360°, therefore

∠EOD+∠DOC+∠EOC=360°

⇒∠EOD+112°+180°=360°

⇒∠EOD=68°

Thus, the measure of DE is 68.

Hence, option (C) is correct.

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A recursive function is shown below:f(1) = 2 and f(n) = f(n - 1) - 5; n > 1

Which of the following lists the terms in the sequence defined by this recursive function? (4 points)

2, 3, 8, 13, 18, ...
2, 7, 12, 17, 22, ...
2, -3, -8, -13, -18, ...
2, -7, -12, -17, -22,

Help ill give medal or anything!!!

Answers

$f(1)=\fbox2\ and\ f(n)=f(n-1)-5\n\underline{f(2)}=f(2-1)-5=f(1)-5=2-5=\fbox{-3}\n\underline{\underline{f(3)}}=f(3-1)-5=\underline{f(2)}-5=-3-5=\boxed{-8}\nf(4)=f(4-1)-5=\underline{\underline{f(3)}}-5=-8-5=\boxed{-13}\n\vdots\nAnswer:\boxed{\boxed{2;-3;-8;-13;-18;...}\leftarrow answer}$

You want to leave a nice tip on a $36 meal. So you decide to add 20% to the bill. How much is the total bill?

Answers

Answer:

43.20

Step-by-step explanation:

First find the tip

36 * 20 %

36 * .2

7.20

Then add the tip to the amount of the meal

36+7.20

43.20

You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.

$20\%$ of the total meal.

So, First we need to find the tip by multiplying the percentage with the cost of meal

Tip:

$20\% \: of \: 36$

$(20)/(100) * 36$

$(1)/(5) * 36$

$7.2$

Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:

$36 + 7.2$

$\boxed{ 43.2}$

This is our required answer.

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Keith exercises x hours a week. Troy exercises three hours less than Keith and Joe exercises two times more than Troy. Which expression represents the amount of time Joe exercises?A)
2(3x)
B)
2x - 3
C)
2x + 3
D)
2(x - 3)

Answers

If you would like to know which expression represents the amount of time Joe exercises, you can calculate this using the following steps:

Keith ... x hours a week
Troy ... three hours less than Keith: x - 3
Joe ... two times more than Troy: 2 * (x - 3)

The correct result would be D) 2 * (x - 3).

Answer:

The answer is D because

Step-by-step explanation:

Keith = x

And Troy exercises three hours less than Keith. Thus,

Troy = x - 3

And Joe exercises two time more than Troy. Thus,

Joe = 2(x - 3)

solving fraction equations: Write the solution in simplest form

6 1/4 = z + 1 5/8

Answers

6 1/4 = z + 1 5/8
6 1/4 - 1 5/8 = z + 1 5/8 - 1 5/8 Isolate variable
6 2/8 - 1 5/8 = z Least common denominator
4 5/8 = z Simplify

Answer:4 5/8 = z Simplify

If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert. A) 12.39 mg
B) 27.44 mg
C) 45.24 mg
D) 91.11 mg