Answers
Answer:
26.75 units²
Step-by-step explanation:
Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.
Find the area of each then sum all together to get the area of the figure.
✔️Area of Triangle 1 (the biggest triangle):
Area = ½*base*height
height = 3.5
base = 2 + 2 + 5 = 9
Area = ½*9*3.5 = 15.75 units²
✔️Area of Triangle 2 (the medium triangle):
Area = ½*base*height
height = 2
base = 5
Area = ½*5*2 = 5 units²
✔️Area of Triangle 3 (the smallest triangle):
Area = ½*base*height
height = 2
base = 2
Area = ½*2*2 = 2 units²
✔️Area of the square:
Area = s²
s = 2
Area = 2² = 4 units²
✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²
Related Questions
A partnership between two companies calls for company A to get a flat fee of $25,000 from Company B each month, plus 15% of all sales for the jointly developed product sold by company B. If Company B sells a total of $1,200,000 of the jointly developed product in the first twelve months, what will be the total amount owed Company A by Company B?
Answers
Answer:
no idea what the answer is, good luck!
Step-by-step explanation:
Which equation has a slope of 2 and y-intercept of -3
Answers
y = 2x -3
fhfjdydtsfxbnpurwsgh
(3x + 5) (x - 2)
Multiply?
Answers
Answer:
[tex]3x^2-x-10[/tex]
Step-by-step explanation:
This equation cannot be simplified by much, so, the final answer is still an equation, [tex]3x^2-x-10[/tex].
Hope this helped! :)
Answer:
Here,
(3x+5)(x-2)
=3x^2-6x+5x-10
=3x^2-x-10
=3x^2-6x+5x-10
=3x(x-2)+5(x-2)
=(3x+5)(x-2)
A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.
Answers
Answer:
a
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
b
The 95% confidence interval is [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The first sample mean is [tex]\= x_1 = 11.4[/tex]
The first standard deviation is [tex]s_1 = 2.5[/tex]
The second sample mean is [tex]\= x_2 = 9.9[/tex]
The second standard deviation is [tex]s_2 = 3.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]
=> [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]
=> [tex]z = 2.3[/tex]
From the z table the area under the normal curve to the left corresponding to 2.3 is
[tex]P( Z > 2.3 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 2.3 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.02[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
Considering question b
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}} [/tex]
=> [tex]E = 1.276 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E [/tex]
=> [tex]( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276 [/tex]
=> [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Find the slope of the line that passes through the pair of points.
4. (1, 6), (6, -1)
7
a.
5
b.
5
7
c.
7
5
d.
5
7
Answers
Answer:
-7/5
Step-by-step explanation:
Is this a function?
Answers
Answer:
yes
Step-by-step explanation:
Find all missing angles
Answers
Answer:
m1=30
m2=41
m3=96
Step-by-step explanation:
m1=180-66-84
m2=180-96-43
m3=180-84
99+99x=0 how to solve this
Answers
Step-by-step explanation:
99+ 99x = 0
99 = - 99x
x = - 99/99
x = -1
Hope it helps :)
Answer:
X = -1
Step-by-step explanation:
99 + 99x = 0
99x = -99
x = -99/99
x = -1
What is the y-intercept of the graph of 4y = 2x + 8?
4
2
6
00
N
Answers
Answer:
2
Step-by-step explanation:
4y = 2x + 8
First get the equation in slope intercept form y= mx+b where m is the slope and b is the y intercept
Divide each side by 4
4y/4 = 2x/4 +8/4
y = 1/2x +2
The slope is 1/2 and the y intercept is 2
Answer:
2
Step-by-step explanation:
Manipulate your equation into slope-intercept form: y = mx + b, where b is the y-intercept.
To do this, divide 4 from both sides:
[tex]y=\frac{1}{2} x+2[/tex]
b = 2
assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.
Answers
Answer:
72.9%
Step-by-step explanation:
Given that :
27.1% of all possible observation of a certain variable are less than 17 ;
That is ;
Let variable = y ;
Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271
Proportion that lies to the right :
P(y > 17) = 1 - P(y < 17)
P(y > 17) = 1 - 0.271
P(y > 17) = 0.729 = 72.9%
Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5,280 feet)
Answers
Answer:
Quincy is 5.5 mi/h faster than Marissa
Step-by-step explanation:
Speed
It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.
The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.
4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:
[tex]\displaystyle \frac{1\ mile}{0.0667\ h}=15\ mi/h[/tex]
Quincy rides at 15 miles/hour.
Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:
13,376 / 5,280 = 2.533 miles
16 minutes = 16/60 = 0.2667 hours
Marissa's speed is:
[tex]\displaystyle \frac{2.533\ mile}{0.2667 \ h}=9.5\ mi/h[/tex]
The difference is 15 - 9.5 = 5.5 mi/h
Quincy is 5.5 mi/h faster than Marissa
Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)
Answers
Answer:
3 - 30+15
Step-by-step explanation:
take the outside number and multiply it by each individual number in the parenthesis one at a time
You want to buy 4 pens, each costing 27 cents. How many dollar bills should you take to the store? im not in college btw lol
Answers
Answer:
108c so 2 dollar bills.
Step-by-step explanation:
Coach Coleman is ordering thigh and knee pads for the football players. There are 20 players. Thigh pads come in packs of 2 and knee pads come in packs of 4. What is the least number of packs of thigh and knee pads can he order so that none will be left over?
Answers
Answer:
100 or 80
Step-by-step explanation:
I HAD A SIMILAR QUESTION.
I'M SORRY IF ITS WRONG.
What is the solution for this inequality?
need help fast please!
Answers
Answer:
[tex]x\geq -4[/tex]
Step-by-step explanation:
[tex]-10x\leq 40[/tex]
divide by -10, which means you need to flip the inequality sign since youre dividing by a negative number
[tex]x\geq -4[/tex]
Answer:
The anwer is D
Step-by-step explanation:
up up up......
If Tim has 2/3 pizza to share with 6 friends how much does he friend get
Answers
Answer:
Each friend gets 1/9th of the pizza.
Step-by-step explanation:
Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.
what is m% of n please help
Answers
m% of n would technically be some amount of n. To find m%, you would have to do n * 0.m to find your answer
NEED HELP ASAP!!!! WILL MARK BRAINLIEST!!!!!
Which statement best compares the rate of change of the two functions?
O The rate of change of both functions is 2
O The rate of change of both functions is 3.
O The rate of change of function A is greater. than the rate of change of function B.
O The rate of change of function B is greater than the rate of change of function A.
Answers
Answer: The rate of change is 2
Step-by-step explanation:
Divide the Y by X for each of them and they all are 2
The perimeter of the square below is 36 yards. What is the length of each side?
yards
Answers
Answer:
9 yards
Step-by-step explanation:
36 divided by 4 = 9
The length of each side is 9 yards.
What is perimeter?A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.
Given:
The perimeter of the square below is 36 yards.
The length of each side,
= perimeter/ number of sides.
= 36/4
= 9 yards.
Therefore, each side is 9 yards.
To learn more about the perimeter of a shape:
https://brainly.com/question/28161250
#SPJ6
What is the equation of the line shown in the graph below? *
Answers
Answer:
y=1/2x−2
Step-by-step explanation:
if you find the 2 point that touch the y and x-axis on the graph, (4,0) and (0,-2), and put it in y=mx+b formula, you get the answer.
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
How much shampoo concentrate should Devin add to the water to make the shampoo solution?
Answers
Answer:
8 cups of shampoo concentrate
Step-by-step explanation:
let x=how much shampoo concentrate Devin should add
[tex]\frac{2}{9} =\frac{x}{36}[/tex]
cross multiply
2*36=9x
72=9x
72/9=x
x=8
Devin should add 8 cups of shampoo concentrate to the water to make the shampoo solution.
ANYONE WANNNA HELP MATH!!!!! HRW BTW
Answers
Answer:
1/4 off
Step-by-step explanation:
1/4 is 0.25. 0.25 times 100 is 25. It would be 25% off. 25 is more than 20 and why buy 3 to get 1 free. Hope this helps!!!! Let me know if i'm right please.
Please help i’m giving out brainliest || Q1
Answers
the answer would be a I'm my mind
there is 8 box shaded and half of one box shaded
[ 0.5 = 1/2 ]
please help
2×1,000+9×100+5×1+1×1100+3×11,000
2×1,000+9×10+5×110+1×1100+3×11,000
2×1,000+9×10+5×1+1×110+3×11,000
Answers
Answer:
37005
36740
35205
Step-by-step explanation:
plz help! will give brainliest!
Answers
Answer:
B
Step-by-step explanation:
The graph shows 3 spaces up every our on the y axis I hope this helped you! im very good at these so I can help is u have more questions! can I have brainliest? I was the first
Answer: 3 miles per hour
Step-by-step explanation:
looking at the graph you have (1,3) (2,6) and (3,9) and everytime its multiplying by 3... 1x3=3 , 2x3=6, 3x3=9
Therefore, your answer is 3 miles per hour
Estimate 32% of 19.
Answers
Answer: 6.08.
Explanation: 32% × 19 = 6.08.
Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?
Image of a coordinate grid with point R R located at negative 1, negative 3.
(3 points)
(−1, −3)
(−1, 3)
(5, −3)
(5, 3)
Answers
Answer:
Point R is located at the point (-1,-3)
The car needs to park 6 units above point R.
When you are moving something up or down on the coordinate grid, you are affecting the y- axis. So to find the coordinates we would keep the x value and add 6 to the y value.
Coordinates of the second car
(-1, -3 +6)
(-1 , 3)
The answer to this question is B
Adding a positive to a negative is the same as subtracting.
EX:
We were adding 6 and -3
Adding 6 and -3 is the same as subtracting 3 from 6.
Either way we get the same answer.
B is your answer
Hope this helps!
A group of students are standing in rows. There are as many students in a row as there are rows. If there are 64 students in the group, how many students are standing in pach row?
A. 4
B 6
C. 8
D 12.
Answers
Answer:
B..im pretty sure
Step-by-step explanation:
First it cant be D because 12 x __ = 64. There is no whole number multiplied by 12 that equals 64. So cross that out. then it's not B because 6 x ___ = 64. So also cross that out. the only thing u have left is 4 and 8. Then u can cross out A because the group of students has to be the same number of rows. Which is 8 x 8 aka B. The answer is B
Answer:
B
Step-by-step explanation:
Here we go someone help me with this!
Answers
Answer:
I think they are-
Step-by-step explanation:
I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-
When the price of Xis RM4 and the price of Y is RM10, which of the following combinations would be the intercept of axes
(X,Y) if you have an income of RM 100?
Select one:
A. (25X, 10Y)
B. (20X, 5Y)
C. (10X, 25Y)
D. (5X, 20Y)