Answer:
1.) Scale factor from the actual flower garden to the scale drawing = 20 : 1
2.) Dimensions of the flower garden in the new scale drawing = 7.5 inches × 11.25 inches
3.) Scale factor from the actual flower garden to the new scale drawing = 8:1
Step-by-step explanation:
Given - Penny’s backyard contains a flower garden. The dimensions of the
actual garden are 5 feet by 7½ feet. A scale drawing of the flower
garden is 3 inches by 4.5 inches.
To find - 1. What is the scale factor from the actual flower garden to the
scale drawing?
2. If the drawing is enlarged by a scale factor of 5/2, what would
be the dimensions of the flower garden in the new scale
drawing?
3. What is the scale factor from the actual flower garden to the
new scale drawing?
Proof -
As we know that,
1 feet = 12 inches
⇒5 feet = 5×12 = 60 inches
7½ (= [tex]\frac{15}{2}[/tex]) feet = [tex]\frac{15}{2}[/tex]×12 = 90 inches
∴ we get
The dimensions of the actual garden is 60 inches by 90 inches.
1.)
As,
[tex]\frac{60}{3} = \frac{20}{1} = 20 : 1[/tex]
[tex]\frac{90}{4.5} = \frac{900}{45} =\frac{20}{1} = 20 : 1[/tex]
So,
Scale factor from the actual flower garden to the scale drawing = 20 : 1
2.)
As given, If the drawing is enlarged by a scale factor of 5/2
⇒Dimensions of flower garden = 3×[tex]\frac{5}{2}[/tex] inches by [tex]4.5 (\frac{5}{2})[/tex] inches
= 7.5 inches by 11.25 inches
∴ we get
Dimensions of the flower garden in the new scale drawing = 7.5 inches × 11.25 inches
3.)
Scale factor from the actual flower garden to the new scale drawing = [tex]\frac{60}{7.5}[/tex] = [tex]\frac{600}{75} = \frac{8}{1} = 8 : 1[/tex]
can someone help meeee
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
please help and explain
Answer:
Step-by-step explanation:
Fraction of surveyed women who voted for football = 25/72
Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]
[tex]=\frac{625}{18} = 34.72[/tex]
= 35%
Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3 years at 5.5% interest compounded annually if she did not make any further deposit or withdrawal.
Answer:
$1456.25
Step-by-step explanation:
Given data
P= $1,250
t= 3 years
r=5.5%
The compound interest expression is given as
A= P(1+r)^t
substitute
A= 1250(1+0.055*3)
A= 1250(1+ 0.165)
A= 1250(1.165)
A= 1456.25
Hence the amount after 3 years is $1456.25
5x³-45x (Factor COMPLETELY)
Step-by-step explanation:
5x³ - 45x
5x(x² - 9)
Or 5x(x-3)(x+3)
[tex]\tt{} {5x}^{2} - 45x[/tex]
[tex]\tt{}5x \times ( {x}^{2} - 9)[/tex]
[tex]\tt{}5x \times (x - 3) \times ( x + 3)[/tex]
Area of a rectangle is (6x25x + 2) sq. units.
the breadth of the rectangle is 6x - 7 units, what is its length?
write the expression which represents the perimeter of the rectangle
lf x=10m, find the actual length, breadth and area of the rectangle.
30 times 40 equals whatttt
Answer:
1200 is ur wsener
Step-by-step explanation:
Answer:
1,200 is the result to the problem
What is the sum of the polynomials given?
In 2016, there were about 36 million teenagers (ages 13-17) in the United States. They each sent an average of 850 text messages per month. How many text messages did all of the teenagers in the United States send each month? Express your answer in scientific notation
Answer:
256
Step-by-step explanation:
Katie takes an Uber to work. She pays $1.50 per mile and she tips
the driver $10.
Write an equation to show how many miles she can go for $34
Answer:
1.50x+10=34
Step-by-step explanation:
Does anyone know what the answer to this is???
Answer:
7.4% increase (approximated)
Step-by-step explanation:
✔️Dimension of the original rectangle:
Length = 30 cm
Width = 20 cm
Perimeter = 2(L + W) = 2(20 + 30) = 2(50) = 100 cm
✔️Dimension of new rectangle:
Length is increased by 10% = 10/100 × 30cm = 3 cm
New length = 30 + 3 = 33 cm
Width is increased by 5% = 5/100 × 20cm = 1 cm
New width = 20 + 1 = 21 cm
✔️Perimeter of New rectangle = 2(L + W) = 2(33 + 21) = 2(54) = 108 cm
✔️Percentage increase in the perimeter of the rectangle = (perimeter of New rectangle - perimeter of original rectangle)/perimeter of original rectangle × 100
= (108 - 100)/108 × 100
= 8/108 × 100
≈ 7.4% increase
Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?
Answer:
64
Step-by-step explanation:
you divide 256 four times
A lightbulb manufacturer found that
out of 200 lightbulbs, 15 were defective.
How many lightbulbs should the
manufacturer expect to be defective out of
2,400 lightbulbs?
Answer:
D, 180.
Step-by-step explanation:
2400 divided by 200 is 12, which means 2400 is 12 times 200
Next, times 15 by 12 which is 180.
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(__,__)
What are the coordinates of Point A? A(___,____)
Given:
The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
According to the given information, the scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).
[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex] ...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]
[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]
[tex]C(-2,11)\to C'(2,5)[/tex]
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]
From the given figure it is clear that the image of point A is (8,4).
[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{3}(m-4)+4=8[/tex]
[tex]\dfrac{1}{3}(m-4)=8-4[/tex]
[tex](m-4)=3(4)[/tex]
[tex]m=12+4[/tex]
[tex]m=16[/tex]
And,
[tex]\dfrac{1}{3}(n-2)+2=4[/tex]
[tex]\dfrac{1}{3}(n-2)=4-2[/tex]
[tex](n-2)=3(2)[/tex]
[tex]n=6+2[/tex]
[tex]n=8[/tex]
Therefore, the coordinates of point A are (16,8).
Find the range for the list of numbers
21, 18, 24, 19, 27
Question 3 options:
6
9
21
21.8
Answer:
9
Step-by-step explanation:
i did the same thing on k12
A carpenter has wood planks that are 4 yards, 8 yards, 7 yards, and 3 yards long. what is the mad of these measurements
Answer:
6
Step-by-step explanation:
what you have to do to find that out is add them all togeather the divide that whole by the amount of numbers you were adding so in this case it would be 3 so you would add 8,7, and 3 to get 18 then divide that by 3 to get 6.
hope this helps
pls mark brainliest
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answer:
4.50r + 6.00f ≤ 35.00
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box
which holds 15 cups of sugar. Double the dimensions of the box. Approximately how
much paint would the new box need? How much sugar would it hold?
Answer:
120 cups of sugar
8 ounces of paint
Step-by-step explanation:
Given that :
To cover all sides of the rectangular prism with paint, that is the surface area.
The amount of sugar held by the prism is function of its volume.
Hence, doubling the dimension :
The surface area, in unit² is a obtained by
Initial paint required * 2^2
2 * 2² = 2 * 4 = 8 ounces of paint.
For sugar :
It has to do with volume, unit³
Initial * double³
15 * 2³
15 * (8) = 120 cups of sugar
Please I need serious help with this ASAP!!! I will mark brainliest if correct!! Please explain!!!
Answer:
1. Given
2. Reflection property of congruence
3. Definition of a a midpoint
4. Reflexive property of congruence
5. CPCTC
Step-by-step explanation:
what is greater1/2 or 1/5
Answer:
1/5
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
Help me Asap Please.
Find the area of the figure.Rounded to the nearest tenth, the area is
_ square meters.
Answer:
area of the rectangle =8*15=120sq.m
area of semi circle =1/2*π*4*4
=1/2*22/7*4*4=22/7*8=176/7=2.51sq.m
PLZ PLZ PLZ ANSWER!!!!!!
Answer: it would be B "4.05"
Step-by-step explanation:
2.5 x 1.8 x 0.9 = 4.05
Answer:
4.05 m^3
Step-by-step explanation:
Calculate volume with this formula:
LxWxH (length x width x height)
0.9 x 2.5 x 1.8 = 4.05
Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.
So our answer is 4.05 m^3.
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
How do you write 1/2 as a percentage?
Answer:
lol 50%
Step-by-step explanation:
hope this helps.
Answer:
50%
Step-by-step explanation:
=™=®=™™÷™=™{ k jvj cccchch
the radius of a sphere is 21cm find its area and volume
Answer:
5544cm (squared)
Step-by-step explanation:
Surface area of a sphere=4πr (squared) =4× 7/ 22 ×21×21cm (squared)
Surface area of the sphere=5544cm
.
Answer:
Area = 5164.8 cm; volume = 38792.4 centimeters
Step-by-step explanation:
Since the radius is known, we can substitute it for r in the first formula.
A = 4πr²
A = 4π(21)²
A = 4π(411)
A = 12.566370614359 * 411
A = 5164.8
V = 4/3πr^3
V = 4/3π21^3
V = 4/3π(9261)
V = 4.1887902047863 * 9261
V - 38792.4
What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin? Select numbers from the pull-down menus to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
140
Step-by-step explanation:
evaluate f(.25) if f(x) = [[2x-1]]
Answer:
(-.5)
Step-by-step explanation:
identify the zeros of the function
5
1 and 2
1 and -2
-1 and 2
Answer:
my answer is the first one..............
Marsha spends 150 minutes a night doing homework.
. Math homework takes 1/6 of that time.
Science homework takes 20% of that time.
·Language Arts homework uses of that time.
What percent of the time is left for Marsha's social studies homework?
THE ANSWER FOR THIS IS
30%
ASAP WHO EVER ANSWERS THIS WILL BE MARKED BRANLIEST
Answer:
option A is the answer hope you find it helpful