The surface area of the barn is 2040 square feet.
What is a rectangle?A rectangle is a plane shape with four sides and four right angles.
Analysis:
The barn is composed of:
Two straight long rectangles with dimensions = 10ft x 40ft
Two slant rectangles with dimensions = 10.6ft x 40ft
Two short rectangles with dimensions = 10ft x 14ft
Two triangles, height 8ft and base 14feet
The surface area of barn = 2(10x40) + 2(10.6 x 40) + 2(1/2 x 14 x 8) + 2(10 x 40) = 800 + 848 + 112 + 280 = 2040 square feet
In conclusion, the surface area of the barn is 2040 square feet.
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one way to recognize a line of symmetry is to look for a line that divides the original image into?
Answer:
Half
Step-by-step explanation:
by dividing in half, it shows both sides are equal/symmetric
hope this helps:)
Answer:
[tex]\huge\boxed{\textbf{Two\ identical\ halves}}[/tex]
Step-by-step explanation:
Symmetry:
When something (an object) is identical on both sides when cut into half or quarter (or any other symmetry), we call the object to be symmetric.Line of symmetry:
The line which cuts an object into two identical parts is called a line of symmetry.[tex]\rule[225]{225}{2}[/tex]
What is the area of a rectangular prism if the length is 12 inches, width is 7 inches and the the height is 3 inches.
What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
Key: 2|5 means 25
A stem-and-leaf plot with a stem value of 1 with leaf values of 5 and 8, a stem value of 2, a stem value of 3, a stem value of 4 with a leaf value of 6, a stem value of 5 with leaf values of 0, 0, 0, 0, 7, a stem value of 6, a stem value of 7, a stem value of 8, and a stem value of 9.
The stem and leaf plot represents the numbers 15, 18, 46, 50, 50, 50, 50, 57. To find the mean, add these up (336) and divide by the number of data points (8). The mean is 42.
What are the zeros of this function?
Please let me know asap!!!
Answer:
My best Gues is x=0 and x=6
Step-by-step explanation:
Because The zeroes of a function is where the line is equal to fx=0 which means it is where the line intercepts with the x axis. And the the line is on the x- axis touching 0 and it isn’t touching any negative number so it would have to be positive and would be 6.
zeros are the x inetercepts
Here the x intercepts are
(0,0)(6,0)Hence
x(x-6)=0So
zeros are
0 and 6(3x4 + 2x3 − x2 + 2x − 14) ÷ (x + 2)
Answer:3x^3-4x^2+7x-12+10/x+2
Step-by-step explanation:
Answer:
x1 ~ -1.8
x2 ~ 1.30
Step-by-step explanation:
[tex]\frac{x(x(x+1)(3x-1)+2)-14}{x+2}[/tex]
The record high temperature on January 15 is 41°F. The record low temperature on that day is -16°F. What is the difference in the record temperatures?
Calculate the distance between the points (7, 4) and (-5, -3).
Answer:
D = √193 units
or
D = 13.892 units
Step-by-step explanation:
Given:
(7, 4) and (-5, -3)
Calculate the distance
Solution:
[tex] \rm \: Distance (D) = \sqrt{( x_{2} - x_{1}) {}^{2} + (y_{2} - y_{1) {}^{2} }} [/tex]
Now, substitute the values given:
[tex] \rm \: D = \sqrt{ \{( - 5) - 7 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]
[tex] \rm \: D = \sqrt{ \{12 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]
[tex] \rm \: D = \sqrt{ 144 + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]
[tex]\rm D = \sqrt{144 + \{ 7\}{}^{2} } [/tex]
[tex] \rm \: D = \sqrt{144 + 49} [/tex]
[tex] \boxed{\rm \: D = \sqrt{193}} [/tex]
[tex] \boxed{\rm \: D =13 .892}[/tex]
Thus, Distance between the two given points will be √193 or √13.892 units.
Answer:
[tex]\bf \sqrt{193}[/tex] units or 13.9 units is the distance.
Explanation:
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]
Given points: (7, 4) and (-5, -3)
Identify following:
[tex]\sf x_2= 7[/tex], [tex]\sf x_1 = -5[/tex], [tex]\sf y_2 =4[/tex], [tex]\sf y_1 =-3[/tex]
Find distance:
[tex]\rightarrow \sf \sqrt{(7 - (-5))^2 + (4 - (-3))^2} \quad = \quad \sqrt{144+49} \quad = \quad \sqrt{193} \quad \approx \ 13.9[/tex]
In figure below points T,R,X,Y and Z
Answer:
a
Step-by-step explanation:
Identify the polygon
find the perimeter
with vertices P (2,-2) Q (4,2), R (6,2), and S (4, -2). and then
and area of the polygon.
Answer:
Perimeter is about 12.95 /// Area = 8
Step-by-step explanation:
What is the function equation for the input/output table?
Answer:
y = x - 8
Step-by-step explanation:
I plugged iin for the values and checks out.
Hope this helps!
I have a question about this please see attachment
Answer:
[tex]\boxed{\bf x \geqslant 6}[/tex]
Step-by-step explanation:
Given:- g(x)=√(x - 4) and h(x) = 2x - 8
Find:- What're the restrictions on the domain of g•h.
______________________________
[tex]\bf g.h = \sqrt{(2x - 8) - 4} [/tex][tex]\bf g.h = \sqrt{2x - 12} [/tex][tex]\bf 2x - 12 \geqslant 0[/tex][tex]\bf 2x \geqslant 12[/tex][tex]\bf \cfrac{2x}{2} = \cfrac{12}{2} [/tex][tex]\bf x \geqslant 6[/tex]«••••••••••••••«»•••••••••••••»
A change purse contains a total of 35 nickels and dimes. The total value of the coins is $2.25
How many coins of each type does the purse contain?
Answer: 25 nickels
10 dimes
Step-by-step explanation:
6. If Mark has a probability of 30% of bowling a strike, then answer the following questions: (a) What is the probability that he bowls 2 strikes in a row? Give your answer as a percent (6) What it the probability that he doesn't bowl a strike 10 times in a row? Give your answer as a percent to the nearest tenth of a percent.
Answer:
Step-by-step explanation:
(a) 30/100*30/100= 9/100 = 9%
4(10b-4)
Explain please
Work Shown:
4(10b-4)
4*10b - 4*4
40b - 16
I multiplied the outer term 4 by each term inside. Refer to the distribution property (aka distributive property).
Answer:
40b - 16
Step-by-step explanation:
4 (10b - 4)
= (4*10b) - (4*4) [distributive property]
= 40b - 16
Hope it helps ⚜
The table below shows the relationship between m and p, where the independent variable is p.
р
12
20
38
36
מח
m
3
3
5
7
9
9
What equation represents the same relationship?
m=p-9
B
p=m-9
ma
װ==p
Answer:
C
Step-by-step explanation:
P is an independent variable, therefore making M a dependent variable.
B and D are not it.
When plugging in P in choice A, M has a different answer than in the list.
A is not it.
When pluggin in P in choice C, M has the same answers as in the list.
C is the answer
The diameter of a circle is 36 meters. What is the circle's area? Use 3.14 for .
Answer:
1017.36 m²
Step-by-step explanation:
Info:
Diameter: 36m
π: 3.14
---
If the formula for area of circle is: A = πr², and the radius is 18 (half of 36)
Then to find the area, we just multiply π with 18².
18 x 18 = 324.
324 x 3.14 = 1017.36
The area of the circle is 1017.36 m²
Hi Student!
The first step to most problems is to determine the important information that is provided in the given problem statement. In this problem we can see that we are given a diameter of a circle which is 36 meters. Another important thing that we can determine is that the question is asking for us to find the area of the circle using 3.14 for π.
Now that we have collected our important information we can move onto the next step which isn't to find the area yet. First, we need to determine what the radius of our circle is.
Determine the radius
[tex]radius=\frac{diameter}{2}[/tex][tex]radius=\frac{36\ m}{2}[/tex][tex]radius=18\ m[/tex]Now, we can finally plug in our values into the area of a circle equation and solve. The only thing that we need to find the area is the radius which we determined from the previous step.
Plug in the values
[tex]area = \pi * radius^2[/tex][tex]area = 3.14 * (18\ m)^2[/tex]Expand the exponent
[tex]area = 3.14 * (18\ m * 18\ m)[/tex][tex]area = 3.14* 324\ m^2[/tex]Multiply the final two numbers
[tex]area = 1017.36\ m^2[/tex]Therefore, the area of a circle with a diameter of 36 meters is 1017.36 meters squared.
Find an equation for the line that passes through the points (-5,-6) and (1,3).
Answer:
y=3/3x+3/2
Step-by-step explanation:
(-5,-6)(1,3)
x1y1 x2y2
y2-y1/x2-x1
m=3/2
b=3/2
can anyone help me find the area pls ty
Answer:
42 in^2
Step-by-step explanation:
The given is a parallelogram and to calculate the area of a parallelogram we multiply its height and base
The height here is given as 6in and base is 7in
7*6 = 42, the area is presented in square units so the answer is 42 in^2
2. Solve for x.
(6x + 4)º
44°
[tex]~~~~~(6x+4) +44 = 90\\\\\implies 6 x+ 48=90\\\\\implies 6x = 90-48\\\\\implies 6x = 42\\\\\implies x= \dfrac{42}6\\\\\implies x = 7[/tex]
An experiment was conducted to test the effect of a new cholesterol medicine. Fifteen people were treated with medicine X and 15 with medicine Y for a month; then the subjects' cholesterol level was measured. A significance test was conducted at the α = 0.01 level for the mean difference in cholesterol levels between medicine X and medicine Y. The test resulted in t = 2.73 and p = 0.003. If the alternative hypothesis in question was Ha: μX − μY ≠ 0, where μX equals the mean cholesterol level for subjects taking medicine X and μY equals the mean cholesterol level for subjects taking medicine Y, what conclusion can be drawn?
Considering the hypothesis tested and the p-value of the test, the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:
H₀:Hₓ-H
At the alternative hypothesis it is tested if there is a difference, hence:
H₀:Hₓ-H≠0
The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
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List any three even natural numbers and verify that each can be written in the form 2m, where m is any natural number.
Step-by-step explanation:
8 can be written as 2(4)
16 can be written as 2(8)
32 can be written as 2(16)
Answer:
Can be any number but for example: (2,4,8)
Step-by-step explanation:
Given a natural number is any whle number
ex. 1,2,3,4,5,etc
Therefore, any number can be placed in the equation 2m and it will remian a natural number
On a snow day, Savannah created two snowmen in her backyard. Snowman A was built to a height of 27 inches and Snowman B was built to a height of 49 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 2 inches per hour and Snowman B's height decreased by 4 inches per hour. Let A represent the height of Snowman A t hours after sunrise and let B represent the height of Snowman B t hours after sunrise. Write an equation for each situation, in terms of t,t, and determine the interval of time, t, when Snowman A is taller than Snowman B.
Answer:
A= -4t+43
B=-2t+33
Snowman A is taller than snowman B when t < 5 hours
Soo i need yall help rlly bad w it
Step-by-step explanation:
when changing from mixed number to improper u multiply the denominator but the whole number then add the numerator
hope that helps
At a water park, 2,820 out of 6,000 tickets sold were child tickets. What percentage of the
tickets were child tickets?
Answer:
30%
Step-by-step explanation:
Do 6,000 minus 2,820 which we get 3,180. The 3 is in 30% so 30 is your answer with the percentage sign.
Find m/H.
126⁰
F G
m/H=
(6x - 1)
H
(5x +17)
Answer:
59 degrees
Step-by-step explanation:
180 - 126 = 54
6x-1 + 5x + 17 +54 =180
11x + 70 = 180
11x = 180 -70
11x = 110
x =10
Therefore
6(10) - 1 = 59 degrees
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?
3.52 (22 minus n) = 0.24
StartFraction 22 minus n Over 3.52 EndFraction = StartFraction 24 Over 100 EndFraction
StartFraction 3.52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction
3.52 + (22 minus n) = 0.24
The equation that he can use to find n, the number of gallons of water he should remove is; (3.52)/(22 - n) = 24/100
How to Calculate Chemical quantities?Let us first find the amount of ammonia in 22 gallons of 16% ammonia solution.
This gives;
Amount = 16% * 22 gal
Amount = 3.52 gal
Now, the amount of ammonia remains the same after the water evaporates, but the total amount of solution will reduce by the amount of water that evaporates.
Amount of ammonia = 3.52 gal
Amount of water that remains = 22 - n
Desired concentration = 24% = 24/100
Thus, the equation is;
(3.52)/(22 - n) = 24/100
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Which equation represents this ellipse?
answer d
y^2/25+x^2/4=1
We can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.
What is ellipse?An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have equation of ellipse:
[tex]\rm \dfrac {y^2}{25}+\dfrac{x^2}{4}=1[/tex]
[tex]\rm \dfrac {y^2}{5^2}+\dfrac{x^2}{2^2}=1[/tex]
Here a = 5, and b = 2
Major axis is 2a = 2(5) = 10
Minor axis is b = 2(2) = 4
Here a graph is not given, if
Thus, we can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.
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Find the exact value of x.
Answer:
here is the exact value of x=16
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Figure 1 ;4 squares
Figure 2; 8
Figure 3; 16
Figure 4; 32
How many squares will be in Figure 100?
A 2^100
B. 4^100
c. 2x4^99
D4x2^99
Answer:
D. 4x2^99
Step-by-step explanation:
This question is a geometric progression question.
Someone help please
Answer:
32
Step-by-step explanation:
ok if it was a normal rectangle =
8 x 6
but the middle part takes 4 from the middle
since there are 2 rectangle
4/2 = 2
since there are lines
6 x 2 = 12 + another 12 since the rectangle on the bottom is the same as the top
24 + ...
6 - 4
2 x 4 = 8
24 + 8 =
32