Mathematics College

Find the area of a composite figure.

Answers

Answer 1

The area of the composite figure is 800m²

What is area of a figure?

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Composite geometric figures are made from two or more geometric figures.

The figure consist of a rectangle , a semi circle and a triangle.

Area of the semicircle = 1/2 πr²

= 1/2 × 3.14 × 10²

= 314/2 = 157 m²

Area of the rectangle = l × w

= 25 × 20

= 500m²

area of the triangle = 1/2bh

= 1/2 × 10 × 25

= 25 × 5

= 125 m²

Therefore the area of the composite figure

= 125 + 500 + 175

= 800m²

learn more about area of composite figures from

https://brainly.com/question/21135654

#SPJ1

Related Questions

Nadia wants to find out if students in her year like the school lunches. She
decides to ask her class to complete a survey.
Which of the statements below describes:
ack to task
a) the population?
b) the sample?
All the students in the school
All the students in Nadia's class
All the students in Nadia's year
All the students not in Nadia's class
All the students not in Nadia's year

Answers

Answer:

a) All the students in Nadia's year are the population

b) All the students in Nadia's class are the sample

Step-by-step explanation:

She wants to find out if students in her year like the school lunches.

So, this is the population.

i.e All the students in Nadia's year

She asks her class to complete a survey,

So, this is the sample of the population (Her classmates are in the same year as her and so on)

i.e All the students in Nadia's class

In a controlled laboratory experiment, scientists at the University of Minnesota discovered that
25% of a certain strain of rats subjected to a 20% coffee
bean diet and then force-fed a powerful cancer-causing
chemical later developed cancerous tumors. Would we
have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased
if the experiment were repeated and 16 of 48 rats developed tumors? Use a 0.05 level of significance.

Answers

Yes, we would have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased if the experiment were repeated and 16 of 48 rats developed tumors.

To determine whether there is an increase in the proportion of rats developing tumors when subjected to a coffee bean diet, we can conduct a hypothesis test using the 0.05 level of significance.

1. State the hypotheses:

- Null hypothesis (H0): The proportion of rats developing tumors remains the same.

- Alternative hypothesis (Ha): The proportion of rats developing tumors has increased.

2. Identify the test statistic:

We will use a z-test to compare the observed proportion of rats developing tumors with the expected proportion.

3. Set the significance level:

The significance level (α) is given as 0.05.

4. Collect data:

In the original experiment, 25% of rats developed tumors. In the repeated experiment, 16 out of 48 rats developed tumors.

5. Compute the test statistic:

The test statistic formula for comparing proportions is:

z = (p - P) / sqrt(P(1-P)/n)

where p is the observed proportion, P is the hypothesized proportion, and n is the sample size.

Using the observed proportion (16/48 = 0.333), the hypothesized proportion (0.25), and the sample size (48), we can calculate the test statistic.

6. Determine the critical value:

Since we are using a 0.05 level of significance and conducting a one-tailed test (Ha: >), we can find the critical value from the standard normal distribution table. The critical value for a 0.05 significance level is 1.645.

7. Make a decision:

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the proportion of rats developing tumors has increased.

8. Calculate the test statistic:

Plugging in the values into the formula, we calculate the test statistic:

z = (0.333 - 0.25) / sqrt(0.25 * 0.75 / 48) = 1.404

9. Compare the test statistic and critical value:

The test statistic (1.404) is less than the critical value (1.645).

10. Make a decision:

Since the test statistic is not greater than the critical value, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the proportion of rats developing tumors has increased when subjected to this diet.

In summary, based on the given data and conducting a hypothesis test, we do not have reason to believe that the proportion of rats developing tumors has increased if the experiment were repeated and 16 of 48 rats developed tumors.

For more such questions on developed, click on:

https://brainly.com/question/17019717

#SPJ8

Other Questions

In addition to entire species going extinct, the Anthropocene is also causing many species to ________________ which can _______________.a. Increase in ecological niche space; decrease inter-specific competitionb. Decline in population size; lead to greater heterozygosityc. Decline in population size; increase the detrimental effects of genetic driftd. Increase in ecological niche space; increase coevolutionary arms racese. Shift their life-history; increase the speed of evolution A particle is moving with acceleration $ a(t)=30 t+8 $. its position at time $ t=0 $ is $ s(0)=11 $ and its velocity at time $ t=0 $ is $ v(0)=10 $. What is its position at time $ t=5 $ ? which of the following accounts increases when raw materials are used? a. finished goods inventory b. raw materials expense c. raw materials inventory d. work-in-process inventory Lamar is making a snack mix that uses 3 cups of peanuts forevery cup of M&M's. How many cups of each does he need to make12 cups of snack mix? Find the function to which the given series converges within its interval of convergence. Use exact values.2x + 4x^3 6x^5 + 8x^7 10x^9 + 12x^11 ......= Which major piece of immigration legislation made passports and visas a requirement for entry to the united states and established national-origin quotas for european immigrants? balance the following chemical equation (if necessary): zns(s) alp(s) > al2s3(s) zn3p2(s) what kind of document is used as a secondary data source to determine the reason a patient is seeking care? Consider the set of real numbers: {xx1} Grap Given that F(x)=13xdx and F(3)=0, what is the value of theconstant of integration when finding F(x)? Complete the balanced molecular chemical equation for the reaction below. If no reaction occurs, write NR after the reaction arrow. Be sure to include the proper phases for all species within the reaction. Al(NO3)3(aq) +Na3PO4 (aq) -------> A penetration tester successfully gained access to a companys network. The investigating analyst determines malicious traffic connected through the WAP despite filtering rules being in place. Logging in to the connected switch, the analyst sees the following in the ARP table:10.10.0.33 a9:60:21:db: a9:8310.10.0.97 50:4f:b1:55:ab:5d10.10.0.70 10:b6:a8:1c:0a:5310.10.0.51 50:4f:b1:55:ab:5d10.10.0.42 d5:7d:fa:14:a5:46 b) Determine the 8-point DFT of the following sequence. x(n) = (/2,/2,/2,/2,0,0,0,0} using radix-2 decimation in time FFT (DITFFT) algorithm. In the expression -56.143 7.16 both numerator and denominator are measured quantities. Evaluate the expression to the correct number of significant figures. Select one: A. -7.841 B. -7.8412 C.-7.84 D. -7.84120 Use synthetic division to divide $ x^{3}+4 x^{2}+6 x+5 $ by $ x+1 $ The quotient is: The remainder is: Question Help: $ \square $ Video A pyramid has a height of 539 ft and its base covers an area of 10.0 acres (see figure below). The volume of a pyramid is given by the expressionV =1/3 bh where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft2) Here is the prompt: Determine the value of b so that the area from x=0 to x=b under f(x)=x 2is 9. In mathematical notation, I am asking you to solve for b in the following equation: 0b(x 2)dx=9 Identify and compute total discretionary fixed costs and total committed fixed costs from the followiing list prepared by the accounting supervisor for Kasay Building Supply:_________________________________________________________Advertising $21,000 DiscretionaryDepreciation 48,000 Committed fixed costHealth insurance for the companys employees 24,000 DiscretionaryManagement salaries 87,500 Committed fixed costPayment on long-term debt 48,500 Committed fixed costProperty tax 30,000 Committed fixed costGrounds maintenance 7,000 DiscretionaryOfce remodeling 24,000 DiscretionaryResearch and development 45,000 Discretionary At equilibrium the Fermi level at the Drain and the Fermi level at the Source are: Select one: Different by an amount equals to V Different by an amount equals to q None of the other answers Different by an amount equal to qV O Different by an amount equals to -qV Relative to the free-trade outcome, the imposition of the tariff reduces total surplus. What is the dead weight loss resulting from domestic consumers being priced out because of the tariff?