Answer:
A)6 cm B)32 inch
Step-by-step explanation:
A)1 cm:8 inch
(1×6)cm:(8×6)inch
Thus, if the height is 48 inch, the scale in cm is 6 cm
B)Normal linear form
The length=4cm
(1×4) cm:(8×4) inch
Thus, if the scale length is 4 cm, the real painting length will be 32 inch
Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.
After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.
What is scale factor?Scale factor is the ratio of the corresponding sides of two objects.
Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)
(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A
Surface area of rectangular pyramid ASo, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²
Since
scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²
So, substituting the values of the variables into the equation, we have
surface area of rectangular pyramid A = 1215 cm²/33²
= 1215 cm²/1089
= 1.12 cm²
So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
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What is the answer to this question?
Answer:
A = 16.5 cm²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ the bases
here h = 3, b₁ = 7 , b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (7 + 4) = 1.5 × 11 = 16.5 cm²
Which angles are not supplementary
===============================================================
Explanation:
Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.
Choice b) and choice d) are eliminated for similar reasoning as choice a).
Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.
Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.
how to find the area of a circle
A=πr²
where
π -> pi (3.14...)
r - radius
r² means you multiply r times itself
Hope it helps!
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere
Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2
The surface area of the larger pyramid is 159.21 ft²
How to determine the surface area of the larger pyramid?The surface area of the small pyramid is given as:
A = 25.49 ft²
The corresponding sides of the pyramids are:
Small = 6; Large = 15
The surface area of the large pyramid is then calculated using:
Area = A * (Large/Small)²
This gives
Area = 25.49 * (15/6)²
Evaluate
Area = 159.21
Hence, the surface area of the larger pyramid is 159.21 ft²
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Answer:
159.31
Step-by-step explanation:
Right on Edge
How do you know if an equation of a line is a vertical line?
Answer:
similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.
Evaluate the following expression. Round your answer to two decimal places.
logz 11
2.18?
2.40?
0.46?
0.84?
The correct answer would be- A: 2.18
can somebody please tell me the awnser
Answer: 50ft I think
Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only
Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.
If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.
Now let's add all the sides together.
9 + 6 + 5 + 10 + 4 + 16 = 50
The perimeter of this shape is 50, if my geometry memory serves me correctly.
I hope this answers your question.
-Toremi
ASAP Pllease Giving 20 points
Answer:
20, 22 and 24
Step-by-step explanation:
18 / 3/4
18 x (4/3)
18 x 1.3333
23.9
≅ 24
So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.
this really hard for me so if you could leave a explanation that would be great.
Answer: The answer is B and C.
Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.
Consider the following polynomial
Step-by-step explanation:
Degree is 6
Leading coefficient is 5
Constant term is 8
For PQR, which one is equal to sin(P)?
Answer:
The third option.
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
Step-by-step explanation:
SIN is opposite over hypotenuse.
COS is adjacent over hypotenuse
Therefore
[tex]sin(P)=\frac{RQ}{PQ}[/tex]
Then we have 4 options.
It is not the first option beacause we can't determine which side is adjacent to the angle.
The second option
[tex]sin(Q)=\frac{RP}{QP}[/tex]
The third option
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
It is not the fourth option beacause we can't determine which side is opposite to the angle.
Finally we see that
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
and
[tex]sin(P)=\frac{RQ}{PQ}[/tex]
are equivalent.
X-5y= -3
3x-5y=11
please show work
Answer:
x= -4
Step-by-step explanation:
You need to the elimination method!
x-5y=-3
3x-5y=11
You need to multiply the top by -1
This means every number has to be multiplied by -1 on the x-5y=-3
-x+5y=3
3x-5y=11
The 5y's should cancel out
-x=3
3x=11
Now do -x+3x and 3-11
2x=-8
x= -4
Expand & simplify
4
(
2
p
+
2
)
+
6
(
2
p
−
3
)
Answer:
The answer is 20p – 10 or 10(2p – 1)
Step-by-step explanation:
4(2p + 2) + 6(2p − 3)
8p + 8 + 12p – 18
20p – 10 or 10(2p – 1)
My sister needs help again quick
mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -
correct answer:
6×7-16:4
= 42-4
= 38
A baker mixes 8\frac{3}{4}8
4
3
cups of white flour with 2\frac{1}{2}2
2
1
cups of rye flour for a bread recipe.
How many cups of white flour does the baker mix for every 11 cup of rye flour?
Fractions are written as the ratio of two integers. 3 1/7 cups white flour will be needed for every 11 cup of rye flour
Ratio and proportionFractions are written as the ratio of two integers. If a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye, the number of cups of rye needed for 1 cup ofwhile flour will be:
For 1 cup of flour = (2 1/2)/(8 3/4)
For 1 cup of flour = (5/2)/(35/4)
For 1 cup of flour = 5/2 * 4/35
For 1 cup of flour = 2/7 cups of rye
For 11 cups:
For 11 cup of rye flour = 11 * 2/7
11 cup of rye flour = 22/7=3 1/7 cups
Hence 3 1/7 cups white flour will be needed for every 11 cup of rye flour
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Hello! How to sketch the graph?
Answer:
Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line
what is the area of a rectangle that has a length of 4.5 centimeters and width of 3.25 centimeters? use the formula A=l*w
Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.
What is a Rectangle?A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.
The area of a rectangle is;
A = Length × Width
A = L × W
Given the data in the question;
Length of the rectangle L = 4.5cmWidth of the rectangle W = 3.25cmArea A = ?To determine the area of the retcangle, we substitute our given values into the expression above.
A = L × W
A = 4.5cm × 3.25cm
A = 16.625cm²
Therefore, the area of the rectangle with the given length and width is 16.625cm².
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5. Jane invests $5,000 in a stock that loses 2% per year on average. Eqn:
Answer:
The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.
Step-by-step explanation:
please mark brainliest if you can thx <3
Answer:
5000(0.98)^x, with x being the amount of years
Find the number that makes the ratio equivalent to 36:81.
4:
Answer:
9
Step-by-step explanation:
9*4 = 36
9*9 = 81
divide both by 9 and you get 4:9
What was the average temperature change per hour?
Answer: So, the average temperature dropping is 2 degrees per hour.
Step-by-step explanation:
FIND THE AREA OF THE FIGURE BELOW
Answer:
220 squared units
Step-by-step explanation:
first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.
8*20=160
6*20=120
120/2=60
Finally, add them together and you get 220 units squared.
express 1.284 in form of p/q
Step-by-step explanation:
1.284=1284/1000
divide both by 4
=321/250
Solve for w.
W/4 = 4 What does W equal?
Answer:
16
Step-by-step explanation:
sooo all you have to do is make W alone. to do that you multiply 4 to both sides of the equation
W = 4(4)
w = 16
Which of the following lines is perpendicular to the line with this equation ?
y =4/5X – 12
a. y= -4/5x +9
b. y=5/4x +4
c. y= -5/4x -15
d.y= 4/5x -5
Answer:
soln,
a
y=5/4×-15
Answer:
C: y = -5/4x - 15
Step-by-step explanation:
A perpendicular line is always the negative reciprocal of the slope. In this case, the slope is 4/5. Therefore, the negative reciprocal is -5/4. Only look at the numbers connected to X for the slope, do not look at the constant.
Help! The question is in the image.
Answer:
it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)
Select the correct answer.
Sophia has unsharpened pencils that are 20 centimeters long. What is the approximate surface area of a pencil?
The surface area of the pencil is the amount of space it covers
The surface area of the pencil is 61 square centimeters
How to determine the surface area?The given parameters are:
H = 20 cm
L = 0.5 cm
The surface area (SA) is then calculated as:
SA = 6LH + 3[tex]\sqrt 3[/tex]L^2
This gives
SA = 6 * 0.5 * 20 + 3[tex]\sqrt 3[/tex] * 0.5^2
Evaluate the sum
SA = 61
Hence, the surface area of the pencil is 61 square centimeters
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how to copy and paste
Answer:
control + C then Control + V
Step-by-step explanation:
Answer:
If you have a PC, press Windows, Print Screen.
Step-by-step explanation:
Hope this helps..
What is the perimeter of 4ft and 8ft
Answer:
24
Step-by-step explanation:
4+4+8+8
8 + `16 = 24