Answers
Answer:
648 in^2
Step-by-step explanation:
your must find the surface area of the rectangular prism
this can be modelled by
2(9 * 9) + 2(13.5 * 9) + 2(13.5 * 9)
or
2(9 * 9) + 4(13.5 * 9)
then you do whats inside the parenthesis
2(81) + 4(121.5)
and lastly you multiply and add
162 + 486 = 648
the answer is 648 in^2
Related Questions
A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The hole has a diameter of 1 ft. What is the probability of hitting a ball into the circular hole? Express your answer as a percentage rounded to the nearest tenth.
Answers
Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.
What is the area of a circle?The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:
[tex]A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2[/tex]
Hence the probability is given by:
p = 0.7854/16 = 0.049 = 4.9%
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First photo question: Given this net of a right circular cone. Find the volume and surface area of the cone.
Second photo question: Given this right circular cone. Find the volume and surface area of the cone. Make a sketch of this net of this cone including the measurements of the radii of the circle and sector and give the central angle of the sector.
Answers
Problem 1
Ignore the smaller circle for now. We'll be focusing on the portion on the right.
It's a partial circle with central angle theta = 150 degrees and radius r = 24 inches. The 24 inches also happens to be the slant height of the cone when we form the 3D figure.
Let's compute the arc length based on those inputs.
L = arc length
L = (theta/360)*2*pi*r
L = (150/360)*2*pi*24
L = 20pi
This is the distance along the green curve of this portion.
Now imagine we rolled up that partial circle on the right. We'd form the curved slanted roof of the cone. The green curve wraps around to help match up with the circular base. The 20pi calculated earlier is the circumference of this circular base. Use this to find r.
C = 2pi*r
20pi = 2pi*r
r = (20pi)/(2pi)
r = 10
-------------------------
So far we found that this cone has:
radius = r = 10slant height = s = 24Now compute the height (h) perpendicular to the base
[tex]h^2+r^2 = s^2\\\\h = \sqrt{s^2-r^2}\\\\h = \sqrt{24^2-10^2}\\\\h = \sqrt{476}[/tex]
-------------------------
We can now compute the volume
[tex]V = (1/3)*\pi*r^2*h\\\\V = (1/3)*\pi*10^2\sqrt{476}\\\\V \approx 2284.7153\\\\[/tex]
The units of which are cubic inches.
The surface area is of this cone is:
[tex]SA = \pi*r*s + \pi*r^2\\\\SA = \pi*10*24 + \pi*10^2\\\\SA \approx 1068.1415\\\\[/tex]
The units are in square inches.
For each case, I used the calculator's stored value of pi to get the most accuracy possible. Round the decimal values however you need to, or however your teacher instructs.
-------------------------
Answers:
Volume = 2284.7153 cubic inches approximatelySurface Area = 1068.1415 square inches approximately============================================================
Problem 2
Use the pythagorean theorem to find the slant height
[tex]h^2+r^2 = s^2\\\\s = \sqrt{h^2+r^2}\\\\s = \sqrt{15^2+8^2}\\\\s = \sqrt{289}\\\\s = 17\\\\[/tex]
This slant height will act as the radius of the partial circle that results when forming the net of the unrolled cone.
The process used in the previous problem was to use the slant height and central angle to find the circumference of the base.
We'll follow that process in reverse to use the circumference and slant height to find the central angle.
But first, we need to find the circumference of the base.
C = 2*pi*r
C = 2*pi*8
C = 16pi
This is the arc length similar to the green arc shown in the previous problem (the figure on the right side of that diagram)
This means we'll plug in L = 16pi and r = 17 (not to be confused with the previous radius of 8 inches) to determine theta
L = (theta/360)*2*pi*r
16pi = (theta/360)*2*pi*17
16pi = theta*(34pi/360)
theta = 16pi*(360/(34pi))
theta = 169.4118 degrees approximately
This is the central angle of the unrolled net. The diagram is basically the same as the previous drawing, where we have a circle on the left to represent the base of the cone. The other portion forms the roof of the cone.
-------------------------
Let's compute the volume (V) and surface area (SA)
[tex]V = (1/3)*\pi*r^2*h\\\\V = (1/3)*\pi*8^2*15\\\\V \approx 1005.3096\\\\[/tex]
and,
[tex]SA = \pi*r*s + \pi*r^2\\\\SA = \pi*8*17 + \pi*8^2\\\\SA \approx 628.3185[/tex]
-------------------------
Answers:
Diagram: Copy the diagram shown in problem 1. However, you'll change the "24 inches" to "17 inches". Also, the central angle is roughly 169.4118 degrees.Volume = 1005.3096 cubic inches approximatelySurface Area = 628.3185 square inches approximatelyanswer the questions and answer the questions please please please please please
Answers
110% of 80 => 110.80/100=88
50% of 56 => 50.56/100=28
Alex is 16 years old and his brother is 5 years old. In many years will Alex be twice the age of his brother?
Answers
Answer:
Yes
Step-by-step explanation:
At the age of 22 Alex will have twice the age of His brother who is 11 years old
The equation y - 2 = 3(x + 1) is in point-slope
form. Which is the slope-intercept form?
0
y = 3x + 1
y = 3x - 3
y = 3x + 5
Answers
Answer:
y=3x+5
Step-by-step explanation:
See attached image
Answer:
D.) y = 3x + 5
Step-by-step explanation:
The general structure for an equation in slope-intercept form is:
y = mx + b
In this form, "m" is the slope and "b" is the y-intercept.
To convert the given equation into slope-intercept form, you need to do some expanding and rearranging.
y - 2 = 3(x + 1) <----- Given equation
y - 2 = 3x + 3 <----- Multiply 3 by every term in the parentheses
y = 3x + 5 <----- Add 2 to both sides
15 = 6y + 5 - 8y What is the value of y?
Answers
[tex]~~~~~~15=6y+5-8y\\\\\implies 15-5=-2y\\\\\implies 10 = -2y\\\\\implies -\dfrac{10}2 = y\\\\\implies -5 = y\\\\\implies y = -5[/tex]
Answer:
y=−5
Step-by-step explanation:
15=6y+5−8y
⟹15−5=−2y
⟹10=−2y
⟹−210=y
⟹−5=y
⟹y=−5
(sqrt2-sqrt3+sqrt6)(sqrt6-sqrt3)
Answers
Answer: [tex]-6\sqrt{2}+2\sqrt{3}-\sqrt{6}+9[/tex]
=======================================================
Explanation
Let:
[tex]x = \sqrt{2}\\\\y = \sqrt{6}-\sqrt{3}\\\\[/tex]
We can then say:
[tex](\sqrt{2}-\sqrt{3}+\sqrt{6})(\sqrt{6}-\sqrt{3})\\\\(\sqrt{2}+\sqrt{6}-\sqrt{3})(\sqrt{6}-\sqrt{3})\\\\(x+y)(y)\\\\xy+y^2\\\\2\sqrt{3}-\sqrt{6}+9-6\sqrt{2}\\\\-6\sqrt{2}+2\sqrt{3}-\sqrt{6}+9\\\\[/tex]
Check out the screenshot below for the scratch work on how I computed the [tex]xy[/tex] and [tex]y^2[/tex] terms.
Help. I wil give credit
Write an equation and solve the problems below.
1) Angle 1 and angle 2 are complementary angles. If angle 1 measures (3x + 2), what is the measure of angle 2?
2) Angle A and angle b are supplementary angles. Angle A measures (2m – 10) degrees and angle b measures (m + 25) degrees. Find the measure of angle A and angle b.
3) Three angles are supplementary angles. If one angle measures 25 degrees, the second angle measures m + 15. The third angle measures 2m degrees. What is the value of m?
Answers
Answer:
Step-by-step explanation:
1) Angle 1 and angle 2 are complementary angles. If angle 1 measures (3x + 2), what is the measure of angle 2? 3x+2 + y = 90
2) Angle A and angle b are supplementary angles. Angle A measures (2m – 10) degrees and angle b measures (m + 25) degrees. Find the measure of angle A and angle b.
3) Three angles are supplementary angles. If one angle measures 25 degrees, the second angle measures m + 15. The third angle measures 2m degrees. What is the value of m?
Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's assertion correct?
Answers
Check the picture below.
so hmmm if Lydia is correct, then there's one angle in the triangle that is 90°, hmmm well, looking at the picture, we can pretty much forget about angle Z or Y, they're both acute, hmm how about angle X? is it 90°?
well, if angle X is indeed a right-angle, the lines XZ and XY are perpendicular, but are they? if that's so then the slopes of XZ and XY are negative reciprocal of each other, let's check
[tex]X(\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad Z(\stackrel{x_2}{2}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{-6 +4}{2 +0}\implies -1[/tex]
now, the negative reciprocal of that will be
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}[/tex]
well, let's see if XY has a slope is 1 then
[tex]X(\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad Y(\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{-3 +4}{2 +0}\implies \cfrac{1}{2}[/tex]
OMG!!! Lydia needs to go get a nice Latte with cinnamon and to recheck her triangle.
Six positive integers have a range of 13 the integers are 5,9,7,12,3,x find the value of x
Answers
Answer:
16
Step-by-step explanation:
the range is the amount of numbers between the highest and lowest number in a set. if the lowest number is 3, and the range is thirteen, and the number must be a positice, the highest number in the range is 16.
PLEASEEEE HELP DUE TODAY! MIGHT GIVE BRAINLIST! EFOORT WILL BE RESPECTED! PIC ATAACHED
Answers
The attached image represents the interval 2 < x ≤ 9 on the number line
How to highlight the interval?The interval is given as:
2 < x ≤ 9
The above interval means that:
2 is exclusive of the values of x (because of the < inequality symbol)9 is inclusive of the values of x (because of the ≤ inequality symbol)In inequality, the < symbol uses an open circle, while the ≤ uses a closed circle
Next, we highlight the interval using the above rules (see attachment)
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Lexi had 3/4 of an apple pie. She gave 1/4 of what she had to her friend Julie. What fraction of the whole pie did Julie get?
Answers
Answer:
3/16 of the whole pie
Step-by-step explanation:
Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.
==========================================================
Solving :
Therefore, the equation is :
⇒ 3/4 × 1/4
⇒ 3/16 of the whole pie
A ball is thrown into the air. The height in feet of the ball can be modeled by the equation, h(t) = −16t2 + 10t + 6 where t is the time in seconds the ball is in the air. When will the ball hit the ground? Write the function in intercept form. Group of answer choices:
A. h(t) = (−8t − 3)(2t + 2); the ball will hit the ground at 2.5 seconds
B. h(t) = (−8t + 3)(2t − 2); the ball will hit the ground at 2 seconds
C. h(t) = (8t − 3)(2t − 2); the ball will hit the ground at 1.5 seconds
D. h(t) = (−8t − 3)(2t − 2); the ball will hit the ground at 1 second
Answers
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The time at which the ball will hit the ground is,
h(t) = −16t² + 10t + 6
0 = -16t² + 10t + 6
8t² - 8t + 3t - 3= 0
8t(t-1)+3(t-1) = 0
(8t+3)(t-1)=0
t = -0.375, 1
Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).
Thus, the correct option is D.
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Answer:
The answer above is correct, a teacher confirmed it, and the quiz marked it as correct.
Step-by-step explanation:
pls help i dont know ?
Answers
Answer:
[tex]8 \times(2+15)[/tex]
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to write "8 times the sum of 2 and 15" as an algebraic expression.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
"sum" means addSo, we add 2 and 15:
[tex]\mathtt{2+15}[/tex]
Now we multiply 8 times this expression:
[tex]\mathtt{8\times(2+15)}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Problem 9
Leon drives a long distance to attend a family reunion. At 12:00 PM, his gas tank is completely filled with
12 gallons of gas. Leon's car uses gas at a constant rate, and after two hours of driving, Leon notices that
his car used five gallons of gas.
Leon will stop to get gas when his tank is one fourth of the way full. If Leon's car continues to use gas at
the same constant rate and Leon makes no other stops on his trip, at what time will Leon stop to get gas?
Be sure to include AM or PM in your answer.
Answers
Answer:
3:36PM
Step-by-step explanation:
Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.
Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at [tex]\frac{1}{4}[/tex] capacity, we can use the equation:
[tex]\frac{1}{4} * 12 = \boxed{3}[/tex]
This shows [tex]\frac{1}{4}[/tex] of his tank's capacity ([tex]12[/tex]) is equal to [tex]3[/tex] gallons. This means he will stop for gas when [tex]3[/tex] gallons are remaining.
Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.
[tex]\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}[/tex]
This is a simple proportion, and now we know he uses [tex]2.5[/tex] gallons of gas per hour.
Now we can how many hours of gas Leon has left.
He has [tex]7[/tex] gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.
[tex]\frac{7-3}{2.5} = 1.6[/tex]
The [tex]7-3[/tex] is because Leon doesn't stop when his tank is empty, he stops [tex]3[/tex] gallons earlier. We are dividing by [tex]2.5[/tex] because that is how much gas he uses per hour, meaning the result of this division ([tex]1.6[/tex]) is how many hours he has left.
Now we can solve for what time Leon will stop to get gas.
12PM + [tex]2[/tex] hours of driving + the remaining [tex]1.6[/tex] hours = 3:36PM
([tex]1.6[/tex] hours is equal to 1 hour and 36 minutes)
Therefore, Leon will stop for gas at 3:36PM
The volume of a right rectangular prism can be found by using the product 9(4)(11). which expression could also be used to determine the volume of this prism? 11(9)(4) 9(4) 1 32(11) 9 4 11
Answers
Volume is a three-dimensional scalar quantity. The expression that could also be used to determine the volume of this prism is 11(9)(4).
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a right rectangular prism can be found by using the product of 9(4)(11). The expression that could also be used to determine the volume of this prism is 11(9)(4).
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Answer:
11(9)(4)
Step-by-step explanation:
Hope this helps!!!!
1 ounce granulated sugar is equivalent to _____ tablespoons.
Answers
Answer:
2
Step-by-step explanation:
please help only if u know
Answers
Answer
100
Step-by-step explanation:
bxh is the formula for area of the triangle (base_
so 5x4=20
20x5 (height) = 100
Answer:
80 cm
Step-by-step explanation:
formula
b x h x .5
b= the area of the base
pls help i hate math. three forces act on an object. one force pulls right with 60n. the second pulls left with 30n. the third pulls left 20n. what is the net force?
Answers
Answer:
20 is.the net force act in object
Can someone help with this!
Answers
In the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
Matrix notationFrom the question, we are to determine which entry in the given matrix represents [tex]a_{23}[/tex]
NOTE: For any entry denoted as [tex]a_{mn}[/tex], it represents the entry in the m-th row and n-th column.
Thus,
[tex]a_{23}[/tex] represents the entry in the 2nd row and 3rd column.
In the given image, the entry in the 2nd row and 3rd column is 5.
Hence, in the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
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a dice is rolled 50 times. the score of each is recorded in the table below
Answers
Answer:
No answer. There is no table. The answer for it is probably the frequency which is 8 for the 6 values of dice.
Step-by-step explanation:
50/6 = 8.33333....
So for the numbers 1,2,3,4,5,6 it is 8 times.
which means each number will have the frequency of 8.
This is the most answer that I could get. Since, there was no picture to support this answer. DO NOT PUT THIS AS YOUR REAL ANSWER BECAUSE IT MAY BE WRONG.
Write down the integer values satisfied by this diagram. I n -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Answers
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The integer values that satisfy the given diagram are 0, 1, 2, and, 3.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
Given a solid dot at 3, while an open dot at -1, also, there is a line from -1 to 3. Therefore, the integer values that satisfy the given diagram are 0, 1, 2, and, 3.
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The weight, w, that a horizontal beam can support varies inversely as the
length, l, of the beam. a beam measuring 5 meters in length can support
430 kilograms. how much weight can a beam measuring 2 meters
support?
Answers
A beam measuring 2 meters can support 172 kilograms
How to determine the weight?The variation is a direct variation.
So, we have:
w = kl
Where k is the constant of variation.
When l = 5, w = 430.
This means that:
430 = 5k
Divide both sides by 5
k = 86
So, we have:
w = 86l
When l = 2, we have:
w = 86 * 2
Evaluate
w = 172
Hence, a beam measuring 2 meters can support 172 kilograms
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My little brother lost a tooth at school and came home with a cube-shaped tooth box has an area of 24 cm. What is the volume of the box?
Answers
Answer:
8 cubic cm
Step-by-step explanation:
6 * ( L square ) = 24
L= 2
then
v= l cube
= 2*2*2
=8
f(s) = (= + 5)²
is it a even function or odd or both? or neither ??
Answers
Answer:
both
Step-by-step explanation:
that's the answer to the question
Alison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
a. 4
b 5
c 8
d 9
Answers
Answer:
9
Step-by-step explanation:
Answer:
4 large folders ( and 8 small folders....with $ 1 left over)
Step-by-step explanation:
x = small y = large folders
x+y >= 12 x >= 12-y
3x + 5y <= 45
3 (12-y) + 5y <=45
36 -3y + 5y <= 45
y <= 4.5 you cannot buy .5 of a large folder, so 4 large folders
f(x) = x^2. What is g(x)?
Answers
Answer:
-x²-2
Step-by-step explanation:
x² = the curve faces upwards
but
-x² the curve faces downwards.
also
the downward curve touches -2 on the y axis.
therefore gx = -x²-2
If 2^2x = 3, find 4^6x-5
Answers
Explanation: (the picture)
75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84 what is the mean
Answers
Answer:
8
Step-by-step explanation:
Use the formula a=p(1 rn)nt to find the amount in a compound interest account after t years, compounded n times a year. mary deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. what was the amount in the account at the end of 10 years? round to the nearest dollar. $7,120 $6,769 $6,026 $5,872
Answers
Answer:
(b) $6,769
Step-by-step explanation:
The value in the account can be found by using the compound interest formula:
A = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
__
apply formulaUsing the given values in the formula, we have ...
P = 5600, r = 0.019, n = 4, t = 10
A = 5600(1 +0.019/4)^(4·10) = 5600×1.00475^40 ≈ 6768.752
The amount in the account at the end of 10 years was about $6,769.
_____
Additional comment
Any number of spreadsheets, calculators, or apps can find the future value (FV) for you. The attachment shows the use of a TI-84 calculator work-alike.