Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bottom face included), what is the surface area of the roof of the kennel, including the bottom face?
Answers
Answer:
Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2
Step-by-step explanation:
The image is attached below
For the triangular sides of the roof, area is
A = [tex]\frac{1}{2}bh[/tex]
where b is the base = 4 ft
h is the vertical height = 2.24 ft
A = [tex]\frac{1}{2}*4*2.24 =[/tex] 4.48 ft^2
for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2
For the rectangular sections of the roof, area is
A = [tex]lh[/tex]
where [tex]l[/tex] is the length of the rectangle = 5 ft
h is the height of the rectangle = 3 ft
A = 5 x 3 = 15 ft^2
For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2
For the bottom face, area is
A = [tex]lw[/tex]
where [tex]l[/tex] is the length of the house = 5 ft
w is the width of the house = 4 ft
A = 5 x 4 = 20 ft^2
Surface area of the roof of the dog kennel is
8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2
Related Questions
pls help me with this (ill give brainliest)
Answers
Answer:
72.96
Step-by-step explanation:
Let the first circle's radius be r and quarter circle's radius be R
Area of circle = π[tex]r^{2}[/tex]
= 3.14 × 8 × 8
= 200.96 [tex]cm^{2}[/tex]
Area of quarter circle = π[tex]R^{2}[/tex]/4
= 3.14 × 16 × 16
= 803. 84/4
=200.96
Area of shaded portion = (Area of Quarter circle - Area of semi-circle ACD - Area of triangle ABC) + (Area of the circle - Area of semi-circle ACD - Area of triangle ABC)
Area of Semi-circle = Area of the circle divided by 2
= 100.48
Area of triangle = [tex]\frac{bh}{2}[/tex]
= [tex]\frac{16 * 8}{2}[/tex]
= 64
Therefore, The area of shaded portion= (200.96-100.48-64) + (200.96 - 100.48 - 64)
= 36.48 +36.48
=72.96
PLs help ASAP will make you brainist
Answers
Answer:
c.18
Step-by-step explanation:
32/24=1.33333333333
40/30=1.33333333333
24/1.33333333333=18
Side ST correlates to side BC. Let's use these two sides to find the scale factor between the two triangles
[tex]\text{Scale Factor}=\dfrac{30}{40}=\dfrac{3}{4}[/tex]
Triangle ABC has side lengths are the 3/4 smaller than that of RTS. The value of x is the length of side AC, which correlates with side RS
Multiply 24 by 3/4 to find the value of x
[tex]x=\dfrac{3}{4}\times24=18[/tex]
This is answer choice C. Let me know if you need any clarifications, thanks!
Please answer this in two minutes
Answers
Answer:
[tex] s = 14.1 [/tex]
Step-by-step explanation:
Given:
<S = 31°
SQ = r = 9
SR = q = 21
s = ?
To find s, use the Law of Cosines:
s² = r² + q² - 2rs*cos(S)
[tex] s^2 = 9^2 + 21^2 - 2*9*21*cos(31) [/tex]
[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]
[tex] s^2 = 522 - 324.02 [/tex]
[tex] s^2 = 197.98 [/tex]
[tex] s = 14.1 [/tex] (nearest tenth)
What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?
a.the oval method
b.the divide-center method
c.the area method
d.the regression calculator method
ty if you answer! :3
Answers
Answer:
c.the area method
Step-by-step explanation:
A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.
In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers
Therefore the option c is correct
Answer:
c.the area method
Step-by-step explanation:
c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method c.the area method c.the area method
Two trains 150 miles apart are traveling toward each other along the same track. The first train goes 60 miles per hour; the second train rushes along at 90 miles per hour. A fly is hovering just above the nose of the first train. It buzzes from the first train to the second train, turns around immediately, flies back to the first train, and turns around again. It goes on flying back and forth between the two trains until they collide. If the fly's speed is 120 miles per hour, how far will it travel?
Answers
Answer:
120 miles
Step-by-step explanation:
Distance = 150 miles
train 1 = 60 mph
train 2 = 90 mph
directions of trains = towards each other
Time to meet = 150/(60+90) = 150 miles / 150 mph = 1 hour
Speed of fly = 120 mph
Since fly has been flying for one hour, it travelled 120 miles.
Below, is the sample size, is the population proportion and is the sample proportion. Use the Central Limit Theorem and the TI-84 calculator to find the probability. Round the answer to at least four decimal places.
n=111
p=0.54
P (P > 0.60) =
Answers
Answer:
Binomial probability online calculator gives P([tex]\hat p[/tex]>0.60) =0.1054
Step-by-step explanation:
Given that n = 111
p = 0.54
To find P([tex]\hat p[/tex]>0.60)
We have;
P([tex]\hat p[/tex]>0.60) = [tex]P \left (\dfrac{0.6 - p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}} > Z \right )[/tex]
P([tex]\hat p[/tex]>0.60) = [tex]P \left (\dfrac{0.6 - 0.54}{\sqrt{\dfrac{0.54(1-0.54)}{111}}} > Z \right )[/tex]
P([tex]\hat p[/tex]>0.60) = P(1.268 > Z) = 1 - 0.8962 = 0.1038
The above result was obtained from calculation
Binomial probability online calculator gives P([tex]\hat p[/tex]>0.60) =0.1054.
squirrel, 37 feet up in a tree, sees a dog 29 feet from the base of the tree. Find the measure of the angle of
depression to the nearest degree.
Answers
Answer:
angle of depression = 38.1°
Step-by-step explanation:
tan x = 29/37
tan x= 0.784
x = tan-¹ 0.784
x = 38.1°
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
Domain: 0 [tex]\leq[/tex] t [tex]\leq[/tex] 40 Range: 0 [tex]\leq[/tex] V(t) [tex]\leq[/tex] 200
Step-by-step explanation:
The domain is greater than or equal to 0 and less than or equal to 40 because in 40 months, she will lose all her money ($5 x 40months = $200) since she loses 5 dollars per month. Not to mention, time can't be negative in any situation. For the range, the value has to be greater than or equal to zero and less than or equal to 200 because she only has $200, the more time she spends using the phone, the more money she will lose over the course of the month( limiting her time). I hope this helps!
Answer:
Domain: [tex]0\leq t\leq 40[/tex]; Range: [tex]0\leq V(t)\leq 200[/tex]
Step-by-step explanation:
The price of the cellphone was initially of $200. Each month, its price decreases by $5. Then, you have that for 200/5 = 40 month the price of the cellphone will be of $0.
The price of any object always will have a positive value. If V(t) is a function that describes the price of the cellphone in time t, with t in months, you have that the domain of the function is given by the total amount of months on which the cellphone has some price, that is, for:
[tex]0\leq t\leq 40[/tex]
The range of the function is the price of the cellphone. Its initial price was $200 (maximum price) and its final price after 40 months is $0 (minimum price). Hence, the range of the function is:
[tex]0\leq V(t)\leq 200[/tex]
write 4.83×10⁵ as an ordinary number
Answers
Answer:
483,000
Step-by-step explanation:
hope this helps :)
Answer:
The answer is 483,000 as an ordinary number
Step-by-step explanation:
2. The length of a rectangle is 5 cm more than its width. If the perimeter of the rectangle
is 40 cm, find the area of the rectangle.
Answers
Answer:
93.75 cm^2
Step-by-step explanation:
The breadth = x cm
length=x+5 cm
perimeter =2 (l+b) which becomes
2 (x+5+x)=4x+10 cm:
4x+10=40
4x=30
x=30/4=7.5
so, breadth = 7.5 cm
length = 12.5 cm,
area = 12.5*7.5 = 93.75
Step-by-step explanation:
perimeter of the rectangle= 2(length+width)
let the known width be 'x'
length be 5+x
40 = 2(5+x+x)
40 = 10+2x+2x
40-10 = 4x
30/4 = 4x/4
x = 7.5
width=7.5cm
length= 7.5+5 = 12.5cm
area = length×width
area = 12.5×7.5 = 93.75cm²
The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal.
Answers
Answer:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.
We know that the sum of interior angles equals 180°.
So, a + b = 180°
a + 14a = 180°
15a = 180°
a = 180/15
a = 12°
At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°
The angle vertically opposite to a is d = a = 12°
The angle vertically opposite to a is b = e = 168°
At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°
the angle vertically opposite to angle b is g = b = 168°
the angle vertically opposite to f is h = 12°
Answer:
168 degrees and 12 degrees
Step-by-step explanation:
i cant explain on here but i hope this helps :)
Simplify (5 + 1)^2 - (12 + 3^2) = %3.
A. 29
B. -39
C. 5
D. -63
Answers
Answer:
29
Step-by-step explanation:
(5+1)^2-(12+3^2)/3 Add 5 and 1 = 6.
6^2-12+3^2/3 Calculate 6 to the power of 2 = 36.
36-12+3^2/3 Calculate 3 to the power of 2 = 9.
36-12+9/3 Add 12 and 9 = 21.
36-21/3 Divide 21 by 3 = 7.
36−7 Subtract 7 from 36 to get 29.
A car bought for $20,000. Its value depreciates by 10% each year for 3 years. What is the car's worth after3 years?
Answers
Answer:
$14,580
Step-by-step explanation:
To start off, 10% of 20,000-one easy way to do this is to multiply 20,000 by 0.1, which is 10% in decimal form
-In doing that, you get 2,000
-Now the question says that the value is depreciated which means it goes down in value, so subtract 2,000 from 20,000 to 18,000
-the value of the car after one year is now $18,000
Now, let's move to the second year. This time find 10% of 18,000
-multiply 18,000 by 0.1 to get 1,800
-since the value is depreciating, or becoming less, we will subtract 1,800 from 18,000 to get 16,200
-the value of the car after two years is now $16,200
Finally, let's look at the value of the car after three years. Only this time, we will now find 10% of 16,200
-multiply 16,200 by 0.1 to get 1,620
-since value is being depreciated, or lessened, we will once again be subtracting. Subtract 1,620 from 16,200 to get 14,580
Therefore, the value of the car after three years is now $14,580.
which of the following is not a congruence theorem or postulate a) sas b) aas c) sss d) aa
Answers
Answer:
d)aa (AA is not congruence theorem, it is similarity postulate)
Step-by-step explanation:
Answer:
aa
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB? Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A B C. It is also slightly higher than triangle A B C. Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C. Triangles A B C and X Y Z are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C. Triangles A B C and X Y Z are congruent. Triangle A B C is rotated to the right to form triangles X Y Z. Triangle X Y Z is also higher and to the right of triangle A B C.
Answers
Answer:
B. Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
Step-by-step explanation:
Translation and reflection are examples of methods of rigid transformation. Translation ensure that each point on a given figure is moved the same distance with respect to the reference plane. Reflection involves the flipping of a given figure across a given line.
From the question, both reflection and transformation would map the triangles into one another. Since the reference line contains AB, then the two triangles are congruent and would share a common side.
Thus, the triangle pairs that can be mapped into each other is that of option B.
Based on the information given, the triangle pairs that can be mapped to each other using both a translation and a reflection across the line containing AB will be A. Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A.
Triangles.The triangle pair that can be mapped to each other using both translation and reflection across line containing AB is the first triangle pair.
The first figure consists of ΔXYZ and ΔABC that are a reflection of each other across the line AB and a translation.
Learn more about triangles on:
https://brainly.com/question/12261308
Which statement is true about the end behavior of the graphed function?
Answers
Answer:
The correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".
Step-by-step explanation:
If we start analyzing this function at a value of x that is really small, which would be close to negative infinity and we increase the value of x, we will notice that the y-value will also increase. Therefore if we go far into the left, that is, we apply minus infinity to the function we will receive an output that is equal to minus infinity. When the value of x approach 0, the value of the function also approaches 0. Finally when we go far into the right, to positive infinity the function will also go to infinity. Therefore the correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".
An online seed supplier packages a seed mix that costs the company $20.70 per pound. The mix includes poppy seeds costing $24.00 per pound and clover seeds costing $13.00 per pound. If a worker is going to prepare some of this mix and has already measured out 26 pounds of poppy seeds, what quantity of clover seeds should he add?
Answers
Answer:
The quantity of clover seeds the worker will add is 11.14 pounds
Step-by-step explanation:
Let
x=Poppy seed
y=clover seed
24x+13y=20.70(x+y)
x=26 pounds
Substitute x=26 pounds into the equation
24x+13y=20.70(x+y)
24(26)+13y=20.70(26+y)
624+13y=538.2 +20.70y
Collect like terms
624-538.2=20.70y-13y
85.8=7.7y
Divide both sides by 7.7
y=85.8/7.7
=11.14 pounds
Therefore, the quantity of clover seeds the worker will add is 11.14 pounds
Answer:
A 11.14
Step-by-step explanation:
To solve this, add the total cost of the poppy seed ($24 × 26) to the cost of the clover seeds ($13x), then divide both by the total number of pounds the finished mixture will weigh.
the diagrams shows a right-angled triangle. find the size of angle x. give your answer correct to 1 decimal place.
Answers
Answer:
1. 40.8 degrees
2. 65.6 degrees
Step-by-step explanation:
1.
sin(x) = opposite / hypotenuse = 17/26
x = arcsin(17/26) = 40.83 degrees
2. tan(x) = opposite / adjacent = 11/5 = 2.2
x = arctan(11/5) = 65.56 degrees
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans. x + y = 6. 15 x + 28 y = 116. x + y = 6. 28 x + 15 y = 116. x + y = 116. 15 x + 28 y = 6. x + y = 116. 28 x + 15 y = 6.
Answers
Answer:
2 28ounce cans and 4 15ounce cans
Step-by-step explanation:
28+28=56 and 15+15+15+15=60
56+60=116
Answer:
your answer is the second option
Step-by-step explanation:
Solve by factoring 25x^2+5x-12=0
Answers
Answer:
x = -4/5 and x = 3/5.
Step-by-step explanation:
The coefficient of x^2 is 25, which is 5 * 5. 5 * -3 = -15, and 5 * 4 = 20. 20 - 15 = 5.
So...
25x^2 + 5x - 12 = 0
(5x + 4)(5x - 3) = 0
5x + 4 = 0
5x = -4
x = -4/5
5x - 3 = 0
5x = 3
x = 3/5
So, x = -4/5 and x = 3/5.
Hope this helps!
Taylor had \$147$147dollar sign, 147. Then she spent \$42$42dollar sign, 42 on sneakers. Then, Taylor earned \$53$53dollar sign, 53 by winning a race in her new sneakers! Estimate how much money Taylor has left
Answers
Answer:
She has 158 dollars.
Step-by-step explanation:
This problem tells us that originally Taylor had 147 dollars, but she spent 42 dollars on sneakers, thus she now has [tex]147-42 = 105[/tex] dollars. However, she later won a race wearing those sneakers and earned 53 dollars, therefore she now has [tex]105 + 53 = 158[/tex] dollars.
Thus, Taylor has 158 dollars left now.
Scarlett Squirrel teaches a hula dancing class to young squirrels. 141414 squirrels showed up to class on Monday, 101010 squirrels on Tuesday, 888 squirrels on Wednesday, 101010 squirrels on Thursday, and 121212 squirrels on Friday. Find the mean number of the squirrels
Answers
Answer:
93107
Step-by-step explanation:
add all of the numbers together
divide by 5 since there are 5 numbers
you would get 92106.8
so round that up since you cannot have 1/8 of a squirrel
Hope this helps!!
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answers
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
[tex]\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}[/tex]
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025
HELP
for his long distance phone service, tony pays a $5 monthly fee plus 9 cents per minute. last month, Tony's long distance bill was $17.96. for how many minutes was Tony billed?
Answers
Answer:
144 min.
Step-by-step explanation:
y=0.09x+5 ( x is the number of minutes, y is the bill amount)
17.96=0.09x+5
17.96-5=0.09x
x=12.96/0.09=144 minutes
A village P is 10km from a lorry station,Q on a bearing 065°.another village R is 8km from Q on a bearing 155°.calculate;1.the distance of R from P to the nearest kilometer and 2.the bearing of R from P to the nearest degree.
Answers
Answer:
Step-by-step explanation:
find the difference between the two angles first:
155-65=90 degrees
d is the distance d:
d^2=a^2+b^2-2ab cos(90)
d^2=10^2+8^2-2(10)(8)cos(90)
d^2=164
d=√164=12.81
the bearing of R from P to the nearest degree:
180-155=35 degrees
a girl spent 2/3 of her pocket money and was left with $1800.00 . How much was her pocket money
Answers
Answer: She had $5400
Step-by-step explanation:
We will let x represent the total amount of money in her pocket .
So we know that 1/3 of x has to equal 1800 because 2/3 of the money is already been spent so 1/3 will of the money will be left.
1/3 * x = 1800 solve for x by divide both sides by 2/3
x=5400
Check.
1/3 * 5400 =1800
Which of the following is not a congruence theorem or postulate A. SSA B. SAS C. AAS D. SSS
Answers
Answer:ITS A
Step-by-step explanation:
SAS: side angle side
SSA: is not a congruence theorem
AAS:angle angle side
SSS:side side side
Answer:
The answer is A.
Step-by-step explanation:
Just took the test
PLEASE PLEASE PLEASE HELPPPP ASAPPPP!!!! best answer I’ll give brainliest :) HELP ASAP!
Answers
Step-by-step explanation:
2The perimer of a traingle is the saum of its sides
P = 2(3x+7) + 2(2x+2)
3P= 2(3x+7) + 2*(2x+2) multiply (3x+7) and (2x+2) by 2 P= 6x+14+4x+4 add the khown values together P=6x+4x+18 add the terms with the variable xP= 10x+18Since all you have to do is just add the sides lengths.
The standard deviations of four data sets are shown in the table below. Which
of the data sets is the most spread out?
Answers
You are correct. The higher the standard deviation is, the more spread out the data set will be. Nice work.
Answer:
Hey there! The correct answer is A. Data set C.
---
What is standard deviation?Standard deviation is simply defined as the spread of a data set in relation to the mean of the data set. The standard deviation can be calculated with a formula as shown below.
[tex]\displaystyle \sigma = \sqrt{\frac{\Sigma(x_i-\mu)^2}{N}[/tex]
What does each variable stand for?Each variable has a significant meaning for this formula.
[tex]\sigma[/tex] - the standard deviation of the population[tex]\Sigma[/tex] - the summation of all values after the symbol[tex]x_i[/tex] - all data values in the set[tex]\mu[/tex] - the mean of the population[tex]N[/tex] - the number of data valuesWith this information, we can find the standard deviation of a data set.
What does standard deviation mean for a data set?Generally speaking, statisticians want a standard deviation that is on the lower end so that conclusions can be drawn about the data that was observed.
If a standard deviation is large, that means that most of the data is quite far from the mean and the data usually disproves a hypothesis. This is undesirable since the original hypothesis cannot be proven with this experiment.
When the standard deviation is quite low, this points to data that can be relied upon since it fulfills the initial requirement to prove the hypothesis.
Therefore, since the highest standard deviation correlates with the most spread out data, A. Data set C is the answer.
What is the slope of a line perpendicular to one with a slope of {-2}{3}.
Answers
Answer:
3/2
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
m * -2/3 =-1
Multiply by -3/2 to isolate m
m * -2/3 * -3/2 = -1 * -3/2
m = 3/2
The perpendicular line has a slope of 3/2