Answers
Related Questions
1.3.7Rock-paper-scissorsHave you ever played rock-paper-scissors (or Rochambeau)? It’s considered a "fair game" in that the two players are equally likely to win (like a coin toss). Both players simultaneously display one of three hand gestures (rock, paper, or scissors), and the objective is to display a gesture that defeats that of your opponent. The main gist is that rocks break scissors, scissors cut paper, and paper covers rock, which explored players’ choices in the game rock-paper-scissors.Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 times out of 400 games, Friend B chose scissors 20 times out of 120 games, and Friend C chose scissors 65 times out of 300 games. Suppose that for each friend you want to test whether the long-run proportion that the friend will pick scissors is less than 1/3.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The number of outcome is 3 (rock paper and scissors)
The number of game you and the first friend played is a = 400
The number of times friend A chose scissors is b = 100
The number of game you and the second friend played is c= 120
The number of times friend B chose scissors is d = 20
The number of game you and the third friend played is e = 300
The number of times friend B chose scissors is f = 65
Generally the probability of success of each outcome is
[tex]p = \frac{1}{3} = 0.33[/tex]
Generally the probability of failure of each outcome is
[tex]q = 1-p[/tex]
=> [tex]q = 1-\frac{1}{3}[/tex]
=> [tex]q = \frac{2}{3} = 0.67[/tex]
Generally the proportion of scissors chosen by friend A is mathematically represented as
[tex]p_1 = \frac{b}{a}[/tex]
=> [tex]p_1 = \frac{100}{400}[/tex]
=> [tex]p_1 = 0.25[/tex]
Generally the proportion of scissors chosen by friend B is mathematically represented as
[tex]p_2 = \frac{d}{c}[/tex]
=> [tex]p_2 = \frac{20}{120}[/tex]
=> [tex]p_2 = 0.167[/tex]
Generally the proportion of scissors chosen by friend B is mathematically represented as
[tex]p_3 = \frac{f}{e}[/tex]
=> [tex]p_3 = \frac{65}{300}[/tex]
=> [tex]p_3 = 0.2167[/tex]
Generally the standardized value for friend A is mathematically represented as
[tex]z_1 = \frac{p_1 - p}{\sqrt{\frac{p* q}{a} } }[/tex]
=> [tex]z_1 = \frac{0.25- 0.33}{\sqrt{\frac{0.33* 0.67}{400} } }[/tex]
=> [tex]z_1 = -3.4[/tex]
Generally the standardized value for friend B is mathematically represented as
[tex]z_2 = \frac{p_2 - p}{\sqrt{\frac{p* q}{c} } }[/tex]
=> [tex]z_2 = \frac{0.167- 0.33}{\sqrt{\frac{0.33* 0.67}{120} } }[/tex]
=> [tex]z_2 = -3.8 [/tex]
Generally the standardized value for friend C is mathematically represented as
[tex]z_3 = \frac{p_3 - p}{\sqrt{\frac{p* q}{e} } }[/tex]
=> [tex]z_3 = \frac{0.2167- 0.33}{\sqrt{\frac{0.33* 0.67}{300} } }[/tex]
=> [tex]z_3 = -4.17 [/tex]
Answer: C
reason: There are special rules to follow when an expression is raised to the power of 0 or 1. Remember these rules when using numerical expressions involving the exponents 0 and 1:
Any number raised to the power 0 is equal to 1. For example, 120 is equal to 1 and 300 is equal to 1. However, this rule does not apply when 0 is the base: 0 raised to any power other than 0 is equal to 0, and 00 is not defined.
Any number raised to the power 1 is equal to the number itself. For example, 121 is equal to 12, 301 is equal to 30, and 01 is equal to 0
A numerical expression contains numbers and operations but not the equality symbol (=). Here are some examples of numerical expressions:
15 + 4 − 2
56 ÷ 7 + 5 × 5 × 5
32 × 5 + 7
Numerical expressions can also be written in words, such as "nine times six minus seven" and "five divided by ten plus two."
Look at the expression 56 ÷ 7 + 5 × 5 × 5. Instead of writing 5 three times in the expression, we can replace it with a whole-number exponent. For that, we write 5 × 5 × 5 as 53:
56 ÷ 7 + 5 × 5 × 5
56 ÷ 7 + 53.
Let's write 2 × 3 × 3 × 3 × 3 × 3 × 3 with a whole-number exponent. Here, 3 is multiplied by itself and occurs 6 times in the expression. Instead of writing 3 six times, we can write 3 × 3 × 3 × 3 × 3 × 3 as 36. So, 2 × 3 × 3 × 3 × 3 × 3 × 3 is the same as 2 × 36.
A bookshelf is 3 feet long. Each book on the shelf is 3/4 inches wide. How many books will fit on the shelf? (Remember, there are 12 inches in a foot.)
Answers
Answer:
48
Step-by-step explanation:
3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48
An airliner carries 200 passengers and has doors with a height of 72in. Height of men is normally distributed with a mean of 69 in, and a standard deviation of 2.8 in. and half of 200 passengers are men. Find z score of the sample means. Find the probability that mean height of 100 men is less than 72 in.
Answers
Answer:
Step-by-step explanation:
a) 0.6406; b) 1.000; c) C. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend; d) B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.
Solve for x and graph the solution on the number line below.
4x−2≤−26 or−6<4x−2
Answers
Answer:
- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10
i hope this work for you
and sory if im wrang
(PLS HELP WILL GIVE BRAINLIEST AND PTS FOR FIRST ANSWER)
A={1, 9,11,14}
List all the subsets of this set.
Write the number of proper subsets of this set.
SHOW YOUR WORK
Answers
Answer:
Power Set = {{1,9,11,14},{1,11,14},{1,9,11},{1,9,14},{9,11,14},{1,11},{1,14},{1,9},{11,14},{9,11},{9,14},{1},{11},{14},{9},{}}
Step-by-step explanation:
The power set of a set S is the set of all subsets of S. The first subset will be set S itself. Next, find all subsets that contain one less element (in this case 3 elements). Continue with this process until finding all subsets including the empty set.
Select the correct answer.
y – 6 = 4(x- 4)
Which of the following shows a graph of the equation above?
Answers
Answer:
D) Graph Z
Step-by-step explanation:
Convert from point-slope to slope-intercept form
[tex]y-6=4(x-4)\\\\y-6=4x-16\\\\y=4x-10[/tex]
This tells us that the line intersects the y-axis at (0,-10) and that our slope is 4. Therefore, the best choice given the options is D, graph Z.
The linear equation y = 4x - 10 represents the graph z. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 6 = 4(x - 4)
Convert the equation into slope-intercept form. Then we have
y - 6 = 4(x - 4)
y - 6 = 4x - 16
y = 4x - 16 + 6
y = 4x - 10
The slope of the line is 4 and the y-intercept of the line is negative 10. Then the equation represents the graph z, then option D is correct.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Gwen has a cooler that holds 3 quarts. About how many liters does the cooler hold?
Answers
Answer:
one quart is about 0.95 liters, so its about 2.84 liters after dividing because you want to see how many times that 3 quarts can go into liters
Step-by-step explanation:
mr clean
Answer:
The cooler holds 2.85 liters.
Step-by-step explanation:
Convertion: 1 quart = 0.95 liters
3 × 0.95
= 2.85 Liters
Tanisha and elicia and ana are cousins. Tanisha is twice as old as Ana, and Elicia is two years older than tanisha. the summ if all their ages is 37. use the 5D process to determine the age of each girl
Answers
Answer:
Tanisha = 14 years
Ana = 7 years
Elicia = 16 years
Step-by-step explanation:
Let T = age of Tanisha
Let A = age of Ana
Let E = age of Elicia
Tanisha is twice as old as Ana:
T = 2A
⇒ A = (1/2)T
Elicia is 2 years older than Tanisha:
E = 2 + T
Sum of all their ages is 37:
A + E + T = 37
Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:
⇒ (1/2)T + 2 + T + T = 37
⇒ (5/2)T = 35
⇒ T = 14
If T = 14, then
A = (1/2)T = (1/2) 14 = 7
If T = 14, then
E = 2 + T = 2 + 14 = 16
Can someone help me please <3
Answers
Step-by-step explanation:
4(2x-3):reason - Distributive property
8x-12=:reason - addition property of equality
8x=40: reason - division property of equality
x=5: reason - given
hope this answer helps u.
please mark it as the brainliest
PLEASE HELP ME!
Which is a solution of the inequality x + 2 <8?
Group of answer choices
z < 4
z < 6
z = 6
z < 10
Answers
Answer:
x < 6
Step-by-step explanation:
[tex]x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]
[tex]x+2-2 < 8-2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x < 6[/tex]
~Learn with Lenvy~
Answer:
z < 6
Step-by-step explanation:
this is the correct answer
-4/9 divided by -1/3=
Answers
[tex] \dfrac{ \dfrac{ - 4}{9} }{ \dfrac{ - 1}{3} } = \dfrac{ 4}{9} \times \dfrac{3}{1 } [/tex]
[tex] = \dfrac{4}{3} [/tex]
Answer:
1 1/3
Step-by-step explanation:
Flip -1/3 to be -3/1
Multiply -4/9 to -3/1
-4/9 x -3/1 = 12/9
(The two negatives equal a positive)
Simplify.
4/3
Simplify some more.
1 3/9
Simplify even more.
1 1/3
Hope I helped :)
Please consider Brainliest :)
Adding and subtracting fractions with different denominators
Answers
Answer:
1)23/20
2)14/5
3)47
4)27/56
5)10/7
6)23/14
7)73/35
8)7/4
Step-by-step explanation:
1)multiply both fractions to get 20 as a common denominator
15/20+8/20=23/20
2)make 1 be 5/5
5/5+9/5=14/5
3)multiply both fractions to get 14 as a common denominator
26/14+21/14=47
4) multiply both sides to get 56 as a common denominator
35/56-8/56=27/56
5)make one 7/7
7/7+3/7=10/7
6)make 14 as the common denominator
2/14+21/14=23/14
7)make 35 the common denominator
28/35+45/35=73/35
8)make 1/2 be 2/4
5/4+2/4=7/4
Answer:
1.[tex]1\frac{3}{20}[/tex]
2.[tex]2\frac{4}{5}[/tex]
3.[tex]3\frac{5}{14}[/tex]
4.[tex]\frac{27}{56}[/tex]
5.[tex]1\frac{3}{7}[/tex]
6.[tex]1\frac{9}{14}[/tex]
7.[tex]2\frac{3}{35}[/tex]
8.[tex]1\frac{3}{4}[/tex]
Step-by-step explanation:
Given the following questions:
In order to add or subtract fractions we must find the common denominator, and then add the numerators. To subtract we complete the same steps but subtract the numerators instead of adding them. Of course, converting the improper fraction into a mixed number if needed.
Question one:
[tex]\frac{3}{4} +\frac{2}{5}[/tex]
[tex]CD=20[/tex]
[tex]\frac{3}{4} \times5=\frac{15}{20}[/tex]
[tex]\frac{2}{5} \times4=\frac{8}{20}[/tex]
[tex]\frac{15}{20} +\frac{8}{20}[/tex]
[tex]15+8=23[/tex]
[tex]=\frac{23}{20}[/tex]
Convert into mixed number:
[tex]\frac{23}{20}[/tex]
[tex]=\frac{23}{20}=23\div20=1\frac{3}{20}[/tex]
[tex]=1\frac{3}{20}[/tex]
Your first answer is indeed "1 3/20."
Question two:
[tex]1+\frac{9}{5}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]\frac{1}{1} +\frac{9}{5}[/tex]
[tex]CD=5[/tex]
[tex]\frac{1}{1} \times5=\frac{5}{5}[/tex]
[tex]\frac{9}{5} \times1=\frac{9}{5}[/tex]
[tex]\frac{5}{5} +\frac{9}{5}[/tex]
[tex]5+9=14[/tex]
[tex]=\frac{14}{5}[/tex]
Convert into mixed number:
[tex]\frac{14}{5}[/tex]
[tex]\frac{14}{5}\di=14\div5=2\frac{4}{5}[/tex]
[tex]=2\frac{4}{5}[/tex]
Your second answer is indeed "2 4/5."
Question three:
[tex]\frac{13}{7} +\frac{3}{2}[/tex]
[tex]CD=14[/tex]
[tex]\frac{13}{7} \times2=\frac{26}{14}[/tex]
[tex]\frac{3}{2}\times7=\frac{21}{14}[/tex]
[tex]\frac{26}{14} +\frac{21}{14}[/tex]
[tex]26+21=47=\frac{47}{14}[/tex]
[tex]=\frac{47}{14}[/tex]
Convert into mixed number:
[tex]\frac{47}{14}[/tex]
[tex]\frac{47}{14}=47\div14=3\frac{5}{14}[/tex]
[tex]=3\frac{5}{14}[/tex]
Your third answer is indeed "3 5/14."
Question four:
[tex]\frac{5}{8} -\frac{1}{7}[/tex]
[tex]CD=56[/tex]
[tex]\frac{5}{8} \times7=\frac{35}{56}[/tex]
[tex]\frac{1}{7} \times8=\frac{8}{56}[/tex]
[tex]\frac{35}{56} -\frac{8}{56}[/tex]
[tex]35-8=27[/tex]
[tex]=\frac{27}{56}[/tex]
Your fourth answer is indeed "27/56."
Question five:
[tex]1+\frac{3}{7}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]CD=7[/tex]
[tex]\frac{1}{1}\times7=\frac{7}{7}[/tex]
[tex]\frac{3}{7} \times1=\frac{3}{7}[/tex]
[tex]\frac{7}{7} +\frac{3}{7}[/tex]
[tex]7+3=10[/tex]
[tex]=\frac{10}{7}[/tex]
Convert into mixed number:
[tex]\frac{10}{7}[/tex]
[tex]\frac{10}{7} =10\div7=1\frac{3}{7}[/tex]
[tex]=1\frac{3}{7}[/tex]
Your fifth answer is indeed "1 3/7."
Question six:
[tex]\frac{1}{7} +\frac{3}{2}[/tex]
[tex]CD=14[/tex]
[tex]\frac{1}{7} \times2=\frac{2}{14}[/tex]
[tex]\frac{3}{2} \times7=\frac{21}{14}[/tex]
[tex]\frac{2}{14} +\frac{21}{14}[/tex]
[tex]2+21=23[/tex]
[tex]=\frac{23}{14}[/tex]
Convert into mixed number:
[tex]\frac{23}{14}[/tex]
[tex]\frac{23}{14}=23\div14=1\frac{9}{14}[/tex]
[tex]=1\frac{9}{14}[/tex]
Your sixth answer is indeed "1 9/14."
Question seven:
[tex]\frac{4}{5} +\frac{9}{7}[/tex]
[tex]CD=35[/tex]
[tex]\frac{4}{5} \times7=\frac{28}{35}[/tex]
[tex]\frac{9}{7} \times5=\frac{45}{35}[/tex]
[tex]\frac{28}{35} +\frac{45}{35}[/tex]
[tex]28+45=73[/tex]
[tex]=\frac{73}{35}[/tex]
Convert into mixed number:
[tex]\frac{73}{35}[/tex]
[tex]=\frac{73}{35}=73\div35=2\frac{3}{35}[/tex]
[tex]=2\frac{3}{35}[/tex]
Your seventh answer is indeed "2 3/35."
Question eight:
[tex]\frac{5}{4} +\frac{1}{2}[/tex]
[tex]CD=8[/tex]
[tex]\frac{5}{4}\times2=\frac{10}{8}[/tex]
[tex]\frac{1}{2} \times4=\frac{4}{8}[/tex]
[tex]\frac{10}{8}+\frac{4}{8}[/tex]
[tex]10+4=14[/tex]
[tex]=\frac{14}{8}[/tex]
Simplify by reducing:
[tex]\frac{14}{8}[/tex]
[tex]\frac{14}{8}\div2=\frac{7}{4}[/tex]
[tex]=\frac{7}{4}[/tex]
Convert into mixed number:
[tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4} =7\div4=1\frac{3}{4}[/tex]
[tex]=1\frac{3}{4}[/tex]
Your final answer is indeed "1 3/4."
Hope this helps.
PLEASE SOMONE ANSWER ILL GIVE BRAINLIST!
In the solution to the equation shown, what property allows you to transform from one step to the next?
image below
Group of answer choices
Addition Property of Equality
Subtraction Property of Equality
Multiplicative Inverse Property
Multiplicative Identity Property
Answers
Hi!
Your answer is "Multiplicative Inverse Property".
We can see that it's multiplying both sides by [tex]\cfrac{5}{4}[/tex] to get [tex]x[/tex] by itself.
This is known as the "multiplicative inverse" because the numerator and the denominator are swapped.
When a number is multiplied by its multiplicative inverse, it equals 1.
-------------------------------------------------------------------------------------------------------------
For another example, see:
https://brainly.com/question/13715269
Question
Melissa is starting an IT business, and she wants to calculate her cost function. She estimates that to start the business she
will need to spend $2,000 on equipment, $1,000 on advertising, and $5 for every computer that she services. If x is the
number of computers that Melissa services, write down the cost function C(x) and use it to calculate the total cost if Melissa
services 50 computers.
Provide your answer below:
Answers
Answer:$3250
Step-by-step explanation:
At the movies, Chris can buy 2 tickets for $20.50. At this rate, how much will it cost to buy 7 tickets?
Answers
Divide by 2 to find the unit rate and multiply by 7 to find the cost of 7 units.
20.5/2 = 10.25.
10.25 times 7 = 71.75
It will cost $71.75 to buy 7 tickets.
The hotel in the example offer a double room for $20 more than a standard room, before tax. What is the total cost of a double room, including tax? Show your work.
Answers
After Assuming a tax percentage of 3.5%, the tax amount gotten is $0.7
and the total cost of a double room, including tax is $20.7
Tax CalculationGiven Data
Cost of double Room = $20Say the Tax is = 3.5%Amount of Tax paid = 3.5/100 * 20
= 0.035* 20
= $0.7
The total cost of a double room, including tax
= Cost of double + Amount of Tax
= 20+0.7
= $20.7
Learn more about Tax Calculation here:
https://brainly.com/question/25783927
write as a single power of 7.
7¹⁰ ÷ 7 =
Answers
Answer:
7^9
Step-by-step explanation:
when dividing you take away powers.
Answer:
7 to the power of 9
Step-by-step explanation:
7 by it self is 7 to the power of 1, and when you are dividing a power to subtract the power on top, so 10-1=9 and the answer is 7 to the power of 9 or 7^9
Find the sum:
mZ1+mZ2 +mZ3
Answers
Answer:
180
Step-by-step explanation:
m(< 1) + m (< 2) + m (< 3) = 180
because sum of angles on same straight line = 180
PLEASE HELP!!!
a^3 and a^7 are examples of __________________ with the same base. What is the missing blank?
Answers
Answer:
I'm not sure of the exact term in the blank, but a^3 and a^7 are both exponents with the same base meaning you can add the exponents to create one.
Step-by-step explanation:
9 1/6 multiplied 1 1/11.
Answers
Answer: 10
Step-by-step explanation:
9 1/6 x 1 1/11
55/6 x 12/11
cross reduce
5/1 x 2/1
10
Brainliest if correct
Answers
Answer:
4
Step-by-step explanation:
6 - (-12) / (-6)
6 + 12 / (-6) (because subtracting a negative is the same as adding)
6 + (-2)
4
I hope this helps! Have a lovely day! :)
(Give brainliest to the other person bc they got it right first)
Answer:
Evaluate 6-(-12) / (-6)
6+12 / -6(The minus change to plus because when 2 minuses meet they make +(plus))
6-2(This is 6-2 because 12 /-6 is -2 because the negative takes over it like dividing 12 by 6 but with not negative)
4
The answer is 4
Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)
Answers
Step-by-step explanation:
if you are making double the number of batches, then yout would want to double the # of cups of beans to keep the same recipe.
Since you are doubling the ingredients, all the measurements would change. So yes, the amount of beans that occured most often would change by twice
what are the kinds of symetry?
I'm stuck on this horrible question
Answers
Answer:
Brainliest would be appreciated. This image has horizontal symmetry.
Step-by-step explanation:
If you put a horizontal line on the image, both sides will be symmetrical.
Answer:
Identity, reflection, inversion, proper rotation, and improper rotation
5(x-2)+3(2-x)
simplify
Answers
Answer:
=2x-4
Step-by-step explanation:
Answer:
The fully simplified form is2x-4
Step-by-step explanation:
Use Distributive property
5(x-2)=5x-10
3(2-x)=6-3x
5x-10+6-3x
Combine like terms
2x-4
Someone please help me ASAP
Answers
A chocolate company makes chocolate malt balls that are 0.8 inches in diameter. The carton they are to be packed in is approximately a rectangular prism with the dimensions 4 inches by 3 inches by 7.5 inches. How many malt balls will fit in the
Answers
Given parameters:
Diameter of the malt balls = 0.8in
Dimensions of the prism = 4in x 3in x 7.5in
Unknown:
Number of malt balls that will fit in the carton = ?
Solution:
To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.
Volume of the malt balls = [tex]\frac{4}{3} \pi r^{3}[/tex]
This is because we assume that the balls have a spherical shape.
Where r is radius and π is a constant
Radius of the malt balls = [tex]\frac{0.8}{2}[/tex] = 0.4in
So, volume = [tex]\frac{4}{3} x 3.142 x 0.4^{3}[/tex] = 0.27in³
Volume of the rectangular prism = l x w x h
where l is the length
w is the width
h is the height
So the volume is 4 x 3 x 7.5 = 90in³
The number of malt balls that can be packed here = [tex]\frac{90}{0.27}[/tex] = 333 malt balls
Please Help! Fast! Multiple Choice! Like really fast lol! A little bit of work show please
Answers
Answer:
Its answer B!
Step-by-step explanation:
find the slope of the line below. enter your answer as a fraction or a decimal. use a slash mark (/) as the fraction bar if necessary.
Answers
Answer:
[tex]m = \frac{4}{3} = 1.3334[/tex]
Step-by-step explanation:
To find the slope of a line, all you have to do is determine 2 points that pass through this line;
for example, in this case,
(-4,-2) (4,4)
Use the equation;
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 4)}{4 - ( - 2)} = \frac{4 + 4}{4 + 2} [/tex]
[tex]m = \frac{8}{6} = \frac{4}{3} [/tex]
This line passes through the point (1,0) and that is your y-intercept.
[tex]y = \frac{4}{3} x + 1[/tex]
The requried slope of the given line is m = 3/4.
What is the slope of the line?The slope of the line is defined as the ratio of the rise and run of the straight line on the curve is given as;
m = (y₂ - y₁) / (x₂ - x₁)
Here,
From the graph, we have (-4, -2) and (4, 4).
The slope of the line is given as:
m = (y₂ - y₁) / (x₂ - x₁)
m = (4+2)/(4+4)
m = 6/8
m = 3/4
Thus, the requried slope of the given line is m = 3/4.
Learn more about slopes here:
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Find the area of the figure. (Sides meet at right angles.)
5 cm
4 cm
A cm
5 cm
5 cm
4 cm
4 cm
Answers
Answer:
80 cm²Step-by-step explanation:
to get the area of the given figure,
we need to split it in to two (see attached)
then area of a rectangle = length x width
A1 = 15 cm x 4 cm = 60 cm²
A2 = 5 cm x 4 cm = 20 cm²
Area = A1 + A2
= 60 + 20
= 80 cm²
Area in this figure will be 80cm².
How to calculate the area of the rectangle?The area of the rectangle can be calculated by the product of length and breadth of the rectangle.
A=l*b
where l is length and b is the breadth.
So according to asked question in the drawn figure,
connect the point B and G.
now this figure will give two rectangle i.e. ABGH and CDEF
Rectangle ABGH has length l=5cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²
Now CF=CB+BG+GF=5+5+5=15
Rectangle CDEF has length l=CF=15cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²
Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF
=20cm²+60cm²
=80cm²
Therefore area in this figure will be 80cm².
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Choose the equation that represents a line that passes through points (-6, 4) and (2.0).
Answers
Answer:
y=-1/2x-1
Step-by-step explanation:
4-0 = 4 = 1
-6-2 = -8 = -2
4=-6(-1/2)
4= 3
-4 -4
b= -1
y=mx+b
y=-1/2x-1