The surface areas of two similar figures are given. The
volume of the larger figure is given. Find the volume
of the smaller figure. Write the equations and solve
showing ALL the work.
Answers
Answer:
166.375
Step-by-step explanation:
the ratio of side length of smaller fig. to larger fig.
= (√121) : (√196) =11 : 14
the side length of larger fig. = ³√343= 7
so, the smaller side = 11/14 ×7 = 5.5
so, the volume of smaller fig. =
(5.5) ³ = 166.375
198.2 cm³ is the volume of the smaller figure.
What is the Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Since the two figures are similar, their corresponding lengths, widths, and heights are in proportion.
Let's call the volume of the smaller figure V.
The surface area ratio of the smaller figure to the larger figure is:
(Surface area of the smaller figure) / (Surface area of the larger figure) = 121/196
The length, width, and height ratios of the smaller figure to the larger figure are the same as the square root of the surface area ratio:
(length of smaller figure/length of the larger figure) = (width of smaller figure / width of larger figure) = (height of smaller figure / height of larger figure) = sqrt(121/196) = 11/14
Since volume is calculated by multiplying length, width, and height, we have:
V = (length of smaller figure) x (width of smaller figure) x (height of smaller figure)
Since the ratios of the lengths, widths, and heights are all 11/14, we can substitute in:
V = (11/14 x length of larger figure) x (11/14 x width of larger figure) x (11/14 x height of larger figure)
V = (11/14)³ x volume of larger figure
V = 166.37
Therefore, the volume of the smaller figure is approximately 198.2.
Learn more about the Surface area here:
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Related Questions
hii! please help asap. i’ll give brainliest
Answers
Answer:
4
Step-by-step explanation:
The numbers you have are 2, 2, 3, 4, 8, 8, 8
First, cross out 2 on the very left and 8 on the very right.
Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.
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Put Them in The box They Go in
Answers
Answer:
[tex] \frac{1}{3} \times r - 4 \\ 3 \times r - 4 \\ \frac{1}{3} \times r + 4 \\ 3(r + 4)[/tex]
What number divided by −3 gives 12 as the result?
Answers
Answer:
-36
Step-by-step explanation:
-3 ×12=--36
Let x is the results
From question we know
For x if divides by -3 we can get 12 so
So x/-3=12
Or. x= 12 x -3
So x= -36 is answer
Conclusion : = -36 number divided by -3 gives 12 as the results.
15. What is the height of a triangular pyramid that has a volume of 512 cubic feet, a base length of 24 feet, and a base height of 8 feet? feet (do not enter label) Round to the nearest TENTH if necessary. please do not send website
Answers
Answer:
16 ft
Step-by-step explanation:
height of pyramid = (3×512)/(½×24×8)
= 1536/96
= 16 ft
Can anyone help with just the 2 bottom ones pls I begg
Answers
Answer:
D: y=58
Step-by-step explanation:
pls mark brainliest
In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.
Answers
Answer:
I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer
If sine > 0 and tane < 0 then:
Answers
Answer:
its A
Step-by-step explanation:
Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answers
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
[tex]\small\purple\bull[/tex] Diameter of circle = 18 inTo Find :
[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]
[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]
[tex]\implies{\sf{Radius = 9 \: in}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]
Hence, the radius of circle is 9 in.
[tex]\rule{200}2[/tex]
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]
Hence, the area of circle is 254.34 in².
[tex]\rule{300}{1.5}[/tex]
2 8 −10−15÷3=2, start superscript, 8, end superscript, minus, 10, minus, 15, divided by, 3, equals
Answers
Answer:
241
Step-by-step explanation:
Given the equation to evaluate :
2^8 −10−15÷3
2^8 = 256
256 - 10 - 15 ÷ 3
From BODMAS principle, we evaluate the divison before subtraction :
-15 ÷ 3 = - 5
256 - 10 -5
256 - 15
= 241
Find all vertical asymptotes of the following function f(x)=9x^2-64/2x+14
Answers
Answer:
Step-by-step explanation:
Was the latter half of this function, -64 / 2x + 14, meant to be:
-64 / 2x + 14, or
-64 / (2x + 14)?
In the first case the vertical asymptote is x = 0.
In the second, the vertical asymptote is the root of 2x + 14, or x = -7
Use parentheses in problems such as this one, to eliminate ambiguity.
A rectangular prism and its net are shown below.
(All lengths are in yards.)
Answers
Answer:
C=2 D=2
SA=
Step-by-step explanation:
Surface Area (SA)= 2(wl+hl+hw)
2(2×5+9×5+9×2)
=146 yards
What triangles can you make out of a rhombus
Answers
Answer:
Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.
Hope it helps ya mate! please give me brainliest!.ت︎ ت︎
In the figure below, m ZABD=70°, and m 2 2 is four times m 2 1. Find m2 1.
А
mZ1 = 33
]
B
D
Recheck
Try one last time
2021
Answers
Answer:
angle m1 = 14 degrees
Step-by-step explanation:
angle ABD = 70 deg
angle m1 + angle m2 = 70 deg
angle m2 = 4 * angle m1
angle m1 + (4 * angle m1) = 70 deg
5 * angle m1 = 70 deg
angle m1 = 14 deg
PLEASE HELP GIVING 70 POINTS NEED THIS BEFORE 2:30
Answers
Answer:
(-4,2)
Step-by-step explanation:
A reflection means you flip the graph up, then the point goes to (-4,2).
If this helps please mark as brainiest would really appreciate it
Answer:
4,2
Step-by-step explanation:
Find the surface area of the prism.
A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.
Answers
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
how do i do this pls help
Answers
Answer:
a ) JKM=
90+25+JKM=180°(sum of angle of triangle)JKM=180-115JKM=65°b) NJM
37+NJM=90° {given in figure}NJM=90-37NJM=53°c). JNM
53+25+JNM=180°(sum of angle of triangle)JNM=180-78JNM=102°stay safe healthy and happy....At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.
Answers
Answer: 6% decrease
Step-by-step explanation:
Answer:
6% decrease
Step-by-step explanation:
Given that,
Initial number of students = 1200
At the end of the year there were 1128 students
We need to find the percent of change in enrollment.
Change in enrollment = 1200 - 1128 = 72
The percentage of change is :
[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]
So, there is a decrease of 6% in number of students.
on a venn diagram shade the region
a'n(bnc)
Answers
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c: [tex]b \cap c[/tex]. (green "football")
image2 shows the complement of a (outside a): [tex]a'[/tex] (yellow)
image3 shows the intersection of those sets: [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it") :-)
hey! i’ll give brainliest please help.
Answers
Answer:
I think Darius I is the correct answer.
D
A
Which point is the
orthocenter of AABC?
F
E
B
A. Point D
B. Point E
C. Point F
Answers
Answer:
the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle
If tan0 = 4/11, then what will tan(90- 0) be? Please show work
Answers
Answer:
11/4
Step-by-step explanation:
tan(90-x)=cot(x) by cofunction identity
tan(90-x) is therefore the reciprocal value of tan(x) since tan(x) is the reciprocal of cot(x) or vice versa.
tan(90-x)=11/4 since tan(x)=4/11
Answer:
11/4
Step-by-step explanation:
[tex]\tan(90-\theta) = \frac{\sin(90-\theta)}{\cos(90-\theta)} = \frac{\cos\theta}{\sin\theta}=\cot\theta = \frac{1}{\tan\theta} = \frac{11}{4}[/tex].
Solve each equation, explain how you figured it out. (No fake answers!!Proper ones pleaser!!)
A. 25 - 3x = 40
B. 2 (x - 10) = -4
Answers
Answer:
A. x= -5
B. x= 8
Step-by-step explanation:
A. 25 - 3x = 40
-3x = 40 - 25
-3x = 15
x= 15/-3
x= -5
B. 2 (x-10) = -4
x-10 = -4/2
x-10 = -2
x = 8
A. 25 - 3x = 40
-3x = 40 - 25
= 15
-x = 15/3
x = -5
Checking
25 - 3*-5 = 40
25 + 15 = 40
40 = 40
LHS = RHS
B. 2(x-10) = -4
2x - 20 = -4
2x = -4 +20
x = 16/2 = 8
Hope u understand
Please mark as the brainliest
Thank You
find the measure of a, b, c, d and e.
Answers
Answer:23
Step-by-step explanation:
PLEASE HELP I NEED THIS ASAP
Answers
(A)
Step-by-step explanation:
Multiply both sides by (x + 3)(x - 3)
4(x + 3) + 2 = (x- 3)
4x + 12 + 2 = x - 3
3x = - 17
or
x = -17/3
If triangle ABC ≅ triangle XYZ and AB = 3, BC = 6 and AC = 4, what is the length of ?
Answers
Answer:
4
Step-by-step explanation:
Please mark brainliest
Which best explains how to find the volume of a prism?
Find the height of the base and multiply it by the length.
Find the width of the base and multiply it by the height.
Find the area of the base and multiply it by the height.
Find the area of the lateral sides and multiply it by the height of the base.
Answers
Answer:
Find the area of the base and multiply it by the height
Step-by-step explanation:
Volume Rectangular Prism = L x W x H
L x W = Area base
So it is Area of base x height
If my answer is incorrect, pls correct me!
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-Chetan K
The line y = 6 - 2x passes through the point (2, 2)
is it correct?
Answers
Answer:
Yes
Step-by-step explanation:
We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:
y = 6 - 2x
2 = 6 - 2(2)
2 = 6 - 4
2 = 2
Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x
Yes, the line y=6-2x passes through the point (2, 2).
Given that, the line y=6-2x passes through the point (2, 2).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get
2 = 6-2(2)
2 = 2
Since, LHS = RHS
Yes, the line y=6-2x passes through the point (2, 2).
To learn more about the slope intercept form visit:
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I need help brainy pls!!!!!!!!
Answers
Answer:
its the first one
Step-by-step explanation:
im in 8th grade and im like a 11th grader bc im smart :)
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answers
Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)
Step-by-step explanation:
need help to pass please
Answers
Answer:
x=1
Step-by-step explanation:
a(a+b)=c(c+d)
4(6x+4)=5(3x+5)
24x+16=15x+25
9x=9
x=1