Answer:
The new perimeter will be 4 times the original perimeter.
The new area will be 4 times the original area.
Step-by-step explanation:
The area and perimeter of new rectangle will be 120 square cm and 44 cm. Then the correct options are A, C, F, and G.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4.
L = 3 cm
W = 2.5 cm
Then the new dimension of the rectangle will be
W' = 4 x 2.5 = 10 cm
L' = 4 x 3 = 12 cm
Then the perimeter of the rectangle will be
P = 2(L + W)
Then the perimeter of the new rectangle will be
P = 2(4L + 4W)
P = 4 x 2(L + W)
The new perimeter is the 4 times of original perimeter.
P = 8(2.5 + 3)
P = 44 cm
The area of the rectangle will be
A = L x W
Then the area of the new rectangle will be
A = 4L x 4W
A = 16 x L x W
The new area is the 16 times of original area.
A = 16 x 2.5 x 3
A = 120 square cm
Then the correct options are A, C, F, and G.
More about the dilation link is given below.
https://brainly.com/question/2856466
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What is the next term in the arithmetic sequence? 9, 17, 25, 33, ...
Answer:
41
Step-by-step explanation:
Add 8 every time.
Which expression is equivalent to x1/3
Answer:
1/3y(y + 12) - 12.
Pretty sure it's 1/3y(y + 12) - 12. I'm pretty sure I got it wrong tho.
Factor 36+12x+x^2
as the product of two binomials
Answer:
(x+6) (x+6)
(x+6)^2
Step-by-step explanation:
36+12x+x^2
x^2 +12x +36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
(x+6)^2
Answer:
(x+6) (x+6)
Step-by-step explanation:
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
c
Step-by-step explanation:
because its 0=>-4
which means 0-4
and then its -4-6
which is -10
question below, pls help, IF YOU ANSWER RIGHT: BRAINLIEST THANK YOU!
Answer:
[tex](x+\boxed{6.5})^2=\boxed{18.25}[/tex]
Step-by-step explanation:
[tex]x^2+11x+24=0\\\\(x^2+11x+42.25)-42.25+24=0\\\\(x^2+11x+42.25)-18.25=0\\\\(x+6.5)^2-18.25=0\\\\(x+6.5)^2=18.25[/tex]
Hope this helps!
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °
Answer: angle 2 is 75 degrees and angle 1 is 105 degrees
Step-by-step explanation:
Answer:
75 and 105
Step-by-step explanation:
5. Cameron found the volume of the cone below, but when he double-
checked his work, he got a different solution. Determine which solution
best represents the volume of the cone.
TRY #1
169.6 in 3
TRY #2
56.5 in 3
Answer:
Try 2 is correct
Step-by-step explanation:
See attachment for dimension of cone.
From the attached,
The diameter of the cone, d = 6 in
The height of the cone, h = 6 in
The volume of a cone is calculated as thus
Volume = ⅓πr²h
So, we need the value of r.
r represents radius and
r = ½d
r = ½ * 6
r = 3.
So,
Volume = ⅓πr²h becomes
Volume = ⅓ * π * 3² * 6
Volume = π * 3 * 6
Volume = π * 18
Volume = 18π
Take π as 3.14
So,
Volume = 18 * 3.14
Volume = 56.52 in³
Given that
Try 1 = 169.6 in³
Try 2 = 56.5 in³
We can conclude that Try 1 is incorrect and Try 2 is correct
Solve the system of equations below.
5.1 – 2y=18
3.x+3y=15
Answer: y= -6.45 and y=5-x
Step-by-step explanation:
Subtract 5.1 from both sides.
-2y= 18-5.1
Simplify 18- 5.1 to 12.9
-2y=12.9
Divide both sides by -2
y= - 12.9/2
Simplify 12.9/2 to 6.45
y=-6.45
Factor out the common term 3.
3(x+y)=15
Divide both sides by 3.
x+y =15/3
Simplify 15/3 to 5.
x+y = 5
Sub. x from both sides
y= 5-x
Rewrite the expression in an equivalent form that uses a single exponent
(10^{2} )x^{-3}
Answer:
simply simplify
[tex]\frac{100}{x^{3} }[/tex]
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet. The triangular sides have a base of 3 feet and height of 4 feet. [Not drawn to scale]
152 square feet
172 square feet
252 square feet
264 square feet
Answer:
252
Step-by-step explanation:
I think I may be wrong
The surface area of the triangular prism is: 252 square feet
What is a triangular prism?A triangular prism is a solid three-dimensional shape with three rectangles and two triangles.
Analysis:
Surface area of triangular prism = area of 3 rectangles + area of two triangles
Surface area = 20 x 4 + 20 x 5 + 20 x 3 + 2 x ( 1/2 x 3 x 4) = 252 square feet
In conclusion, the surface area of the triangular prism is 252 square feet.
Learn more about triangular prism: brainly.com/question/1284982
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Initially, the ratio of Alex’s toy cars to Pete’s toy cars was 7:3. After Alex gave 20 toy cars to Pete, they had each an equal number of cars. How many toy cars did they have altogether?
pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46
Answer:
100
Step-by-step explanation:
PLS HELP ASAP
Simplify: (8)2(2)3/(4)3(-2)4 ( the numbers outside the parentheses are to the power to for example the first 2 numbers are 8 to the power of 2)
A) 1/2
B) 2/3
C) 2/9
D) 3/4
Answer:. 1/2
Step-by-step explanation: Different ways to get this.
PEMDAS: figure 8 squared is 64 and 2 cubed is 8. Multiply to get 512 in the numerator.
Figure 4 cubed is 64 and (-2)^4=16. Multiply to get 1024 in the denominator. Simplify to 1/2
You could express all the factors as 2 to some power then add and subtract the exponents.
2^6 •2^3=2^9. Over
2^6 • 2^4 = 2^10. Subtract exponents. 2 to the -1 power is 1/2.
The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the graph of this equation?
Answer:2/5
Step-by-step explanation:
Answer:
I think its B...not completely sure though
Step-by-step explanation:
PLZ HELP I WILL GIVE BRAINLIEST....
1.) The population of a certain city decreased by 10,000 people.
Write a signed number to represent this population change.
2.) A car corporation produced 520 fewer cars this month than last.
Write a signed number to represent this month's change in production
Step-by-step explanation:
1. A decrease means that the 10,000 will be negative, and therefore the answer is -10,000.
2. Fewer means a decrease, and a decrease means that the 520 will be negative. The answer is -520.
Hope this helps!
answer my question and i will mark you as brainliest its that easy answer
Answer:
13 degrees
Step-by-step explanation:
85 and A are opposite hence equal so A = 85
98 and C are equal because they are corresponding angles hence C = 98
B and C are in a straight line so they add up to 180
B = 180-98 = 82
Finally, A and B and X add to 180 because they for a triangle
X+85+82 = 180
X= 13 degrees
You have 13 gallons of lemonade to sell. You use cone-shaped cups that are 7 centimeters in diameter and 11 centumeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade?
1. Factor this quadratic function:2x2 + 12x +16
Answer:
4 (3x + 5)
Step-by-step explanation:
Simplify
4 + 12x +16
Simplify
12x + 20
Factor
4 (3x + 5)
Answer:
[tex]2(x+4)(x+2)[/tex]
Step-by-step explanation:
We can start with the observation that every coefficent in the quadratic [tex]2x^2 + 12x +16[/tex] is a multiple of 2. Factoring out the 2, our expression becomes [tex]2(x^2+6x+8)[/tex]. Let's focus on the second term, [tex]x^2+6x+8[/tex]. To factor this, we want to find two numbers that multiply to 8 and add to 6. 4 · 2 = 8 and 4 + 2 = 6, so we can use that fact to split the middle term and factor the quadratic completely:
[tex]x^2+6x+8\\=x^2+2x+4x+8\\=x(x+2)+4(x+2)\\=(x+4)(x+2)[/tex]
Putting that back with the 2 we factored out earlier, our fully factored function is
[tex]2(x+4)(x+2)[/tex]
For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?
Answer:
[tex]k=0[/tex] and [tex]k=3[/tex].
Step-by-step explanation:
To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of [tex]k[/tex] that makes those coordinates equal.
[tex]k^{2}=3k\\ k^{2}-3k=0\\k(k-3)=0\\[/tex]
Using the null factor property, we have
[tex]k=0\\k-3=0 \implies k=3[/tex]
Therefore, the given relation is not a function when [tex]k=0[/tex] and [tex]k=3[/tex].
(10 + 3x) = 5x
Solve please
Answer:
x=5
Step-by-step explanation:
10 +3x = 5x
Subtract 3x from each side
10+3x-3x= 5x-3x
10 =2x
Divide each side by 2
10/2 = 2x/2
5 =x
A retail shop is replacing their flooring
with laminate wood. The floor plan is shown
below. Determine the total square feet of
laminate wood needed to complete the the job.
25 ft
8 ft
5 fi
25 ft
35 ft
Answer:
1075 ft
Step by step:
25*35 = 875
8*25 = 200
875+200 = 1075
The volume of a cone is 410.3 mm and has a radius of 7 mm. What is the height of the cone? Round to the nearest hundredths
Answer:
8
Step-by-step explanation:
h=3V
πr2=3·410.3
π·72≈7.99607
Does anyone know the answer?
Answer:
12
Step-by-step explanation:
a2+b2=c2 since the hypotenuse is 13 you would square it to get 169 and then you would square 5 and get 25 you would subtract 169-25 and get 144 then you would square root that number and get 12 so then your answer is 12 in.
Volume8cm what is side lengths
Answer:
length: 2
width: 2
height: 2
Step-by-step explanation:
I'm assuming this is for a rectangular prism, because you didn't provide a picture.
Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!
Answer:
a= 13+3b
Step-by-step explanation:
Simplifying
a + -7 = 3(b + 2)
Reorder the terms:
-7 + a = 3(b + 2)
Reorder the terms:
-7 + a = 3(2 + b)
-7 + a = (2 * 3 + b * 3)
-7 + a = (6 + 3b)
Solving
-7 + a = 6 + 3b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + a = 6 + 7 + 3b
Combine like terms: -7 + 7 = 0
0 + a = 6 + 7 + 3b
a = 6 + 7 + 3b
Combine like terms: 6 + 7 = 13
a = 13 + 3b
Simplifying
a = 13 + 3b
James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?
He has 32 1 dollar bills and 17 2 dollar bills I THINK
32 + 17 = 49 and 32 + 17(2) = 66
Answer:
32 one-dollar bills
What is the relation between the variables in the equation ?
a.
varies inversley as y
c.
y varies directly as
b.
varies directly as y
d.
y varies inversely as
Can someone help me pls
Answer:
b= 4
Step-by-step explanation:
b-1.6= 2.4
I would add 1.6 to both sides so that b could be on one side. The opposite of -1.6 is 1.6, so b-1.6+ 1.6= 2.4
b= 2.4+ 1.6
Since -1.6+1.6 cancel out, I get b= 2.4+1.6. I add 2.4+ 1.6 to get 4.
b=4
So, b= 4
To check my work I would plug in b back into the equation:
So...
b=4
b-1.6= 2.4
4-1.6= 2.4
Answer:
B=4
Step-by-step explanation:
Hope it will help you!
The freezing point of water is 0°C. Imani's refrigerator is set at 4°C, and her freezer is set at
-19°C. Which change in temperature would bring Imani's refrigerator or her freezer to the
same temperature as the freezing point of water?
-
-19°C
+23°C
-4°C
+15°C
Answer: +23
Step-by-step explanation:
It would be 23 because the difference between -19 and 4 is 23
Answer:
+23
Step-by-step explanation:
I took the test and my teacher helped me and told this was the right answer.
Find the value of x in the diagram below. Show your work.
Answer:
x=35
Step-by-step explanation:
the litle square inside of the half circle means its the angle of 90
so just do like that:
90=x+(4x-85)
and u have the answer x=35
Angles y and z are complimentary. If angle y is 18°, what is the measure of angle z?
18°
36°
72°
162°
Answer:
z = 72°
Step-by-step explanation:
Complimentary angles sum to 90° , thus
z + y = 180, that is
z + 18 = 90 ( subtract 18 from both sides )
z = 72°
So the right answer is 72 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment