MATHEMATICS HIGH SCHOOL

Marcia drew a plan for a rectangular piece of material that she will use for a blanket. Three of the vertices are ​(-2.6, -1.5), ( -2.6,3.3), and (2.7, 3.3). What are the coordinates of the fourth​ vertex?

Answers

Answer 1
Answer:

Answer:

(2.7,-1.5)

Step-by-step explanation:

The points are A(-2.6,1.5), B(-2.6,3.3), C(2.7,3.3)

The fourth vertex will can be found by the points A and C.

The angles between the sides of a rectangle are 90^(\circ).

The x coordinate will be the same as C and the y coordinate will be the same as A. The fourth verex is D.

So, the fourth vertex of the rectangular piece will be (2.7,-1.5).

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Identify whether these series are divergent or convergent geometric series and find the sum, if possible.

Answers

A geometric series:
\sum^(\infty)_(i=1)=a_1 * r^(i-1)
It's convergent if |r|<1.
It's divergent if |r|≥1.
The sum can be found if it's a convergent series; it's equal to (a_1)/(1-r).

3.
\sum^(\infty)_(i=1) 12 ((3)/(5))^(i-1) \n \na_1=12 \nr=(3)/(5) \n \n|r|<1 \hbox{ so it's convergent} \n \n\sum^(\infty)_(i=1) 12 ((3)/(5))^(i-1)=(12)/(1-(3)/(5))=(12)/((5)/(5)-(3)/(5))=(12)/((2)/(5))=12 * (5)/(2)=6 * 5=30

The answer is: This is a convergent geometric series. The sum is 30.

4.
\sum^(\infty)_(i=1) 15(4)^(i-1) \n \n a_1=15 \n r=4 \n \n |r| \geq 1 \hbox{ so it's divergent}

The answer is: This is a divergent geometric series. The sum cannot be found.

Grade 10 Conversion Question Okay I do online school and I've been stuck on this question for 2 weeks now. The teacher does it differently then I learned and I don't like talking to my teacher over skype so here I'll attach pictures of the question

Answers

so you need to know that
1pound=16ounches
1oz=1ounce
1ton=2000pounds=2000 times 16=32000oz

therefor just divide

134893oz/16=pounds=8430 and 13/16 pounds or 8430.8125 pounds
to find tons, just divide the pounds by 2000
8430.8125/2000=4.21541 tons

134893oz=8430.8125 pounds=4.21541 tons

Glen is being tested for a contagious disease. The test is 99% accurate and in actuality 0.1% of the population has the disease. Should Glen demand to be retested or start treatment right away? Explain.

Answers

I think Glen should demand to be rested than start treatment right away. Although the test is 99% accurate and only .1% of the population has the disease, there is no assurance that he will not get included in the .1% of the population. Also, he should be retested for the sake of reliability.

Answer:

The answer is B. Glen should demand to be retested as the probability that he has the disease given he test positive is only 0.08

Step-by-step explanation:

You are looking for a conditional probability. P(has disease given he tested positive).

This probability is  9 /109  = 0.082. Which means that there is only an 8% chance that he actually has the disease for a test that is 99% accurate.

Therefore, Glen should demand to be retested as the probability that he has the disease given he tested positive is only 0.08

What is 23% of 256?
a. 58.88
b. 5.89
c. 1,113.04
d. 11.13

Answers

A is the correct answer.

What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ?

Answers

Each successive number is the sum of the 2 previous numbers, so the next number in the sequence would be

21 + 34 = 55

Answer:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55

Step-by-step explanation:

What is one third plus one fourth and what is 1/3 + 1/2

Answers

(1)/(3)+(1)/(4)=(4)/(12)+(3)/(12)=(7)/(12)\n \n \n(1)/(3)+(1)/(2)=(2)/(6)+(3)/(6)=(5)/(6)

1/3+1/2=5/6
and 1/4+1/3=7/12
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