The volume of the prism, when it is dilated by a scale factor of 3 changed as 7290 meter cube.
What is dilation of solids?The dilation of the solids is the change of the size of it with a factor, by which it is bigger or smaller from original shape.
Given information-
The volume of the prism is 270 meter cube.
The scale factor of dilation is 3.
As the volume of the prism is 270. The dilation is done by the scale factor of 3. Thus the change in the shape for three dimensions is,
[tex]\Delta =3^3\\\Delta=27[/tex]
Now the volume of the prism is 270. To find the volume of the dilated prism, multiplied 27 by the volume of given prism. Thus the volume of the dilated prism is,
[tex]V_d=27\times270\\V_d=7290\rm m^3[/tex]
Hence, The volume of the prism, when it is dilated by a scale factor of 3 is 7290 meter cube.
Learn more about the dilation of solids here;
https://brainly.com/question/24760202
Please help! 15 Points.
1. Write the general term and pattern rule for the following pattern:
9, 6, 3, 0, -3
Then: Find the 15th, 25th, and 100th term values.
2. Write the general term and pattern rule for the following patterns: -7, -17, -27, -37, -47
Then: Find the 15th, 25th, and 100th term values.
Evaluate |c 2 + b 2|, given a = 5, b = -3, and c = -2.
Hey there!
|c^2 + b^2|
= -2^2 + -3^2
= -2^2 - 3^2
= -4 - 9
= -13
Therefore, your answer is: -13
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
10
Step-by-step explanation:
|-2(2)-3(2)|
|-4-6|
|-10|
=10
Solve for X round to the nearest tenth of a degree if necessary
Answer:
63.4
Step-by-step explanation:
x° is an acute angle in a right triangle with the opposite and adjacent sides given. That means the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(x°) = 18/9 = 2
The value of the angle is found using the inverse tangent function:
x° = arctan(2) ≈ 63.4°
x = 63.4 . . . . . . . rounded to tenths
I need help with this question really quick!!!
Answer:
Np buddy its B. Hope u get a good grade
Please help need answer fast
[tex] \rm \: p = \frac{favourable \: outcome}{total \: outcome} [/tex]
Total outcome = 12+5+8+1+4 = 30Favourable outcome = 12[tex] \rm \: p = \frac{12}{30} [/tex]
[tex] \rm \: p = \frac{2}{5} [/tex]
[tex] \rm \: p = 0.4[/tex]
[tex] \tt \: p = \frac{0.4}{100} [/tex]
[tex] \tt \: p = 40\%[/tex]
How do you work out 803.309-133.36?
Which figure represents an undefined term?
Answer:
I think the answer is D
Step-by-step explanation:
The last figure is representing an undefined term "line".
What is Ray?A ray is a segment of a line where one point is fixed and the other has no defined end. It denotes that a ray has one terminating end and an indefinitely long other end.
The first illustration depicts a ray with an end point at X, which is a phrase that is described as "a ray is a line with one end point."
The second graphic depicts a line segment with endpoints at X and Y. This phrase is described as "A line segment is a line with 2 end points."
The joint of two rays in the third illustration creates an angle, which is once again a defined phrase.
The final illustration depicts a line that is not defined and has no endpoints.
Learn more about Ray here:
https://brainly.com/question/7721348
#SPJ5
HURRY PLS
Part 1:
Prove that the two triangles above are similar. Provide a proof using any method (two-column, flow-chart, or paragraph). For whichever method you choose, include the statements that lead you to the necessary conclusion, as well as corresponding reasons for each statement.
Part 2:
Find the measures of AC and AB all necessary calculations.
The condition of two congruent angles in each triangle, can be used to
show that the two triangles are similar.
Response:
Part 1: The two triangles are similar by AA similarity postulatePart 2: AC = 22.5 inches, AB = 30 inchesWhich condition of similarity makes the two triangles similar?Part 1:
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠D ≅ ∠A [tex]{}[/tex] 1. Given
2. ∠DCE ≅ ∠ACB [tex]{}[/tex] 2. Vertical angle theorem
3. ΔCDE ~ ΔCAB [tex]{}[/tex] 3. AA similarity postulate
Angle-Angle, AA, similarity postulate states that if two angles in one
triangle are congruent to two angles in a second triangles, then the two
triangles are similar.
Part 2:
From part 1, we have;
ΔCDE is similar to ΔCAB (ΔCDE ~ ΔCAB)
The ratio of corresponding sides of similar triangles are equal, which
gives;
[tex]\dfrac{\overline{CD}}{\overline{AC}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]
Which gives;
[tex]\dfrac{12}{\overline{AC}} = \mathbf{\dfrac{8}{15}}[/tex]
[tex]\overline{AC}} = \dfrac{15}{8} \times 12 = \mathbf{22.5}[/tex]
AC = 22.5 inchesSimilarly, we have;
[tex]\dfrac{\overline{DE}}{\overline{AB}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]
Which gives;
[tex]\dfrac{16}{\overline{AB}} = \dfrac{8}{15}[/tex]
[tex]{\overline{AB}} = \dfrac{15}{8} \times 16 = \mathbf{30}[/tex]
AB - 30 inchesLearn more about AA similarity postulate here:
https://brainly.com/question/11307267
Any Suggestions on what to do here? I already restarted my PC twice, cleared my browsing data, and rebooted the wifi network....
Oh yea and whats 5 to the square root of 625
Answer:
Use a factor tree. For example, 625 = 5 x 125 = 5 x 5 x 25 = 5 x 5 x 5 x 5. Because there are 4 fives, and we are looking for the square root, (5 x 5) (5 x 5) = 625. Therefore the square root of 625 is 25.
x=y-4, 2x-y=5. Please help me
By putting x = y-4 in the equation 2x-y = 5, we get;
=) 2(y-4) -y = 5
=) 2y - 8 - y = 5
=) 2y - y = 5 + 8
=) y = 13
Now, we got the value y = 13, so by putting it in the equation x = y-4, we get;
=) x = 13 - 4
=) x = 9
Therefore, x = 9 and y = 13
Answer:
the answer is (x,y) = (9,13)
Step-by-step explanation
Choose the correct range for each set of values. Set 1: 48, 47, 34, 37, 11, 39 Range = Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43 Range = Set 3: 85, 98, 31, 96, 49, 77, 82 Range = Set 4: 112, 114, 116, 175, 115, 134, 117 Range =.
Range is one of the important description of a data set. The range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63How to find the range of a set of data values?Range = Maximum value of the data set - Minimum value of the data set.
For the given sets, we get their range as:
Set 1: 48, 47, 34, 37, 11, 39Maximum value = 48, minimum value = 11
Range of the data set = Maximum value - minimum value = 48-11 = 37
Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43Maximum value = 49, minimum value = 40
Range of the data set = Maximum value - minimum value = 49 - 40 = 9
Set 3: 85, 98, 31, 96, 49, 77, 82Maximum value = 96, minimum value = 31
Range of the data set = Maximum value - minimum value = 96-31=65
Set 4: 112, 114, 116, 175, 115, 134, 117Maximum value = 175, minimum value = 112
Range of the data set = Maximum value - minimum value = 175-112 = 63
Thus, the range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63Learn more about range here:
https://brainly.com/question/7038717
Order the numbers from least to greatest.
53.77
54
53.61
53.6
Answer:
53.6, 53.61, 53.77, 54
Step-by-step explanation:
That's the right order
A standard DVD has a surface area of 134 cm2 depending on formatting it holds either 4.7 or 8.5 gigabytes find the data density in both cases
Step-by-step explanation:
Data density = Data capacity / surface areaUse the formula to find the answer:
1.
4.7 /134 = 0.0351 Gb/cm²2.
8.5/134 = 0.0634 Gb/cm²Note. the numbers above are rounded
AREA OF TRIANGLE BASE=7 and 4
Answer:
area: 14
Step-by-step explanation:
Find the value of x.
Answer:
x = 53
Step-by-step explanation:
The sum of the exterior angles of a convex polygon is always 360°.
x +x +59 +48 +50 +39 +58 = 360
2x +254 = 360 . . . . simplify
x +127 = 180 . . . . . . divide by 2
x = 53 . . . . . . . . . . . subtract 127
Choose the expression that represents a quadratic expression. 6x4 − 5x3 3x2 −7x − 8 5x3 3x2 −7x − 8 2x2 3x − 1 3x − 1.
Answer:
2x^2+3x-13x-1
Step-by-step explanation:
Quadratic expressions are polynomial expressions in which the highest power of the variable is 2.
Looking at option A, the highest power of the variable in the polynomial is 4. Therefore, it is not a quadratic expression.
Looking at option B, the highest power of the variable in the polynomial is 3. Therefore, it is not a quadratic expression.
Looking at option C, the highest power of the variable in the polynomial is 2. Therefore, it is a quadratic expression.
Looking at option D, the highest power of the variable in the polynomial is 1. Therefore, it is not a quadratic expression.
Answer:
c
Step-by-step explanation:
its c bc i got it right on test
i need to understand ratio plz help
HELP Given f(x) = 4x2 – 3x – 6, what is the value of f(-1)?
A. -7
B. 2
C. -5
D. 1
Answer:
D) 1
Step-by-step explanation:
Given f(x) = 4x² - 3x - 6
f(-1)=4(-1)² -3 (-1) -6
f(-1)= 4+3-6
f(-1)= 1
Hope it helps! :)
The following table shows the length and width of a rectangle: Length Width Rectangle A 3x 5 2x − 3 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? 10x 4; the answer is a polynomial 2x 4; the answer is a polynomial 10x 4; the answer may or may not be a polynomial 2x 4; the answer may or may not be a polynomial.
Expression giving the result of the perimeter of rectangle A and demonstrating the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial
What is the closure property of a polynomial for addition operation?Closure property keeps the result in the same set.
If two polynomials [tex]f(x)[/tex] and [tex]g(x)[/tex] are there.
Then, [tex]f(x) + g(x) = h(x)[/tex]
where [tex]h(x)[/tex] is also a polynomial.
The result of the addition of two polynomials is also a polynomial. This property of polynomial for addition operation is called closure property of a polynomial for addition operation
For the given case, we have:
Length of the rectangle = [tex]3x + 5[/tex]Width of the rectangle = [tex]2x -3[/tex]Perimeter of a rectangle with width W and length L = 2(L + W)
And using that formula, the perimeter of the considered rectangle is evaluated as:
[tex]P = 2(3x + 5 + 2x - 3)\\P = 2((3+2)x + 2) = 2(5x + 2)\\\\P = 10x + 4[/tex]
Thus, expression giving the result of the perimeter of rectangle A and demonstrating the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial
Learn more about addition of polynomials here:
https://brainly.com/question/14148883
Find the missing side length 12 cm 1,200 cm 20 cm ____ cm
Answer:
Missing side length is 5 cm.Step-by-step explanation:
Multiply 20 by 12:
20 * 12 = 240.Multiply 240 by 5:
240 * 5 = 1200.Multiply the lengths:
20 * 12= 240 * 5= 1200.Answer:
The missing side is 5 cm
Step-by-step explanation:
Step 1: Determine the missing side
[tex]V=l*w*h[/tex]
[tex]1200\ cm^3 = 20\ cm * w * 12\ cm[/tex]
[tex]\frac{1200\ cm^3}{20\ cm * 12\ cm} = w[/tex]
[tex]\frac{1200\ cm^3}{240\ cm^2} = w[/tex]
[tex]5\ cm = w[/tex]
Answer: The missing side is 5 cm
Simplify the expressions
1. x - 2 + 3x + 8
2. 2(-1.5x + 3) + (5x - 2)
3. (x + 3) - (2x - 1)
4. (4 - x) - 2 (-5x + 3)
5. (-4x + 3) + (9x - 5)
6. 3 (-3x - 4) - (3x + 5)
7. (-8x + 4) - (7x - 7)
8. 1/2 (x - 6) + 1/4 (x + 12)
9. (-2x - 3) - (2x - 10)
10. (-4x - 2) + 1/2 (12x - 22)
11. 2 (4.4 - 2x) + 4 (-x + 3)
12. (-2x + 5) - (-3x + 11)
Answer:
1) 2(2x+3)
2) 2x+4
3) - X + 4
4) 9x - 2
5) 5x−2
6) - 12x - 17
7) - 15x + 11
8) 3x/4
9) - 4x + 7
10) 4x-26/2
11) - 8x + 20.8
12) x - 6
what is this x + y = 7 and x − y = −3
Answer:
x = 2, y = 5
Step-by-step explanation:
Answer:
math equation
Step-by-step explanation:
a path is made of red and blue tiles a fifth of the tiles are red what is the ratio in simplest forms??
Answer:
The answer is 4:1
Step-by-step explanation:
Hope this helps!
help me help me can u help me
AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was constructed so that EF = BC. Since ADEF is a right triangle, DE+ EF? = DF? by the We are given that AB + BC2 = AC? Since DE = AB and EF = BC, DE2 + EF2 = AC? by the Also, DF2 = AC2 by the Taking the square root of both sides of the equation gives DF = AC. So, AC is congruent to DF by the definition of congruence. Applying the AABC - ADEF. By CPCTC, ZB _ZE. Therefore ZB is a right angle and AABC is a right triangle.
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Congruent shapeTwo shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: https://brainly.com/question/11329400
pythagorean theorem, division, substatution, SAS
Step-by-step explanation:
edmentum
Find the measure of x and y
Answer: maybe about 45 or 75 i dont know
Step-by-step explanation:
Find the slope of the line that passes through (2,-55) and (1,-22)
Answer:
y = -33x + 11.
Step-by-step explanation:
5
How can you classify quadrilaterals? Explain using properties of sides and angles.
(Be sure to write at least 5 complete sentences)
Answer:
A quadrilateral is a polygon with four sides. A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. A rhombus is a parallelogram with four congruent sides. A trapezoid is a quadrilateral with exactly one pair of parallel sides. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. And A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below.
Step-by-step explanation:
I hope this helps, I also couldn't find a answer :D
a 65 foot ladder is leaning against a wall. Its lower end is 25 feet away from the wall. How much farther away will it be if upper end is moved down 8 feet?
Answer:
14
Step-by-step explanation:
65^2=25^2 + h^2 =52
Then, 65^2 =(25 + x) ^2 +52^2=>x=14
Please help me with this! Thank you! Click on the photo for better view!
Answer:
In order: -5, 3, 5
Step-by-step explanation:
-5g + 15h - 25
-5 ( g - 3h + 5 )
Hopefully this helps!
Brainliest please?