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Tresset [83]
2 years ago
14

1

Mathematics
1 answer:
hjlf2 years ago
8 0

The area of the shape is 110 square centimeters

From the diagram, the shape can be subdivided into rectangles of the following dimensions:

  • 6cm by 11cm
  • 5cm by 6cm
  • 7cm by 2cm

So, the area of the shape is the sum of the areas of the three rectangles.

This gives

Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm

Evaluate the products

Area = 66cm^2 + 30cm^2 + 14cm^2

Add the terms

Area = 110cm^2

Hence, the area of the shape is 110 square centimeters

Read more about areas at:

brainly.com/question/8408690

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Which of the following is a sum of cubes?
saul85 [17]

Answer:

D) x^3+8y^6

Step-by-step explanation:

We have been given four choices.

A) 3x^3+8y^6

B) 8x^3-27y^6

C) 125x^6-9y^3

D) x^3+8y^6

Now we need to find about which of the above choices is a sum of cubes.

Basically we need to check which one of the given choices can be represented in cubic form along with addition sign.

3 and 9 can't be written in cubic form unless we use radical numbers.

So the only choice left is D)

D) x^3+8y^6

=x^3+2^3(y^2)^3

=x^3+(2y^2)^3

which is clearly visible as sum of cubes.

6 0
3 years ago
Read 2 more answers
Marie noticed that she was eating 2100 calories per day she began a diet and limited herself to 1300 calories per day. What is t
sasho [114]

Answer:

decrease of 38% (to nearest percent)

Step-by-step explanation:

Percent change = [ (difference between final and initial value) ÷ initial value] x 100

⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)

6 0
3 years ago
A (0, 2), B (–2, 6), and C (4, 0). Find the coordinates of the orthocenter
Dafna1 [17]

Answer:

The answer is (12, 10)

8 0
3 years ago
Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is
zysi [14]

Answer:

hello your question is incomplete below is the complete question

Case-Control Calculation Enter only numeric values into the answer line. Place a leading 0 before the decimal and remember to round to two decimal places. Note your answers for the next short essay question. Swine Influenza (SI) is a growing concern at the local Broncoville Health Department in Lawrence, Kansas. You are working for a pharmaceutical company which is developing a human vaccine against SI. You are in charge of testing the vaccine’s effectiveness. You need to determine if one or two doses of vaccine is required to provide immunity. You field test and collect the following information about the vaccine status of persons who did and did not contract SI after getting either one or two doses of vaccine. Develop a 2 x 2 table with the following information: Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine?

1. Calculate the incidence of persons with one dose of vaccine for SI

2. Calculate the incidence of persons with two doses of vaccine for SI

3. Calculate the odds ratio of developing SI among those with one dose of vaccine for SI

answer : 1) ≈ 0.53 , (2)  ≈ 0.21,  (3)  ≈ 1.12

Step-by-step explanation:

cases of SI = 727

number of SI cases that received two doses of vaccine = 203

number of SI cases that received one dose of vaccine = 727 -203 = 524

controls = 1239

number of controls that received two doses of vaccine = 771

number of controls that received one dose of vaccine = 1239 - 771 = 468

I) The incidence of persons with one dose of vaccine for SI

= 524 / 992 = 0.528 ≈ 0.53

2) The incidence of persons with two doses of vaccine for SI = 203/974 = 0.208 ≈ 0.21

3) The Odds of SI in one dose group

=  524/468 = 1.119 ≈ 1.12

7 0
3 years ago
Leah needs 3 ounces of brown rice. She has 7/8 of an ounce of brown rice. What is the amount of brown rice, r, Leah still needs?
padilas [110]
17/8 or 2 1/8 this is correct I am pretty sure your welcome for the help man
6 0
4 years ago
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