What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
A) 5/2 and 25/4
B) 5/2 and 7/4
C) 7/2 and 25/4
D) 7/2 and 7/4
Answers
Given:
Base of the larger figure = 30 yd
Base of the smaller figure = 12 yd
To find:
a) The ratio of the perimeters of the larger figure to the smaller figure.
b) the ratio of the area of the larger figure to the smaller figure.
Solution:
a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.
The given figures are similar. So, the ratio of the perimeters is:
[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]
b) The ratio of area of similar figures is equal to the ratio of squares of their sides.
[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]
[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]
Therefore, the correct option is A.
Related Questions
(4 to the power of 2 )2
Answers
The volume of the sphere is about (blank) ft.
Answers
Answer:
[tex]14.13[/tex]
Step-by-step explanation:
V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Answer:
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Step-by-step explanation:
we are given the redious of a sphere
we want to figure out the volume
remember that,
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]
since we are given the redious we can substitute
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]
as the approximate value of π is given
substitute:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]
we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction
so
simplify square:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]
reduce fraction:
[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]
[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]
simplify multiplication:
[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]
since we cubed the redious and the redious is in feet, we of course use cubic feet
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
The number 345,672 rounded to the nearest ten thousand is
Answers
Answer:
350,000
Hope this helps !!!
In a bag of counters, there are 3 times as many red counters as
blue.
There are twice as many blue counters as yellow counters.
What is the ratio of red : blue : yellow?
Answers
Answer:
The ratio is 6:2:1.
Step-by-step explanation:
Let's denote:
Blue counter b
Red counter r
Yellow counter y.
There is given
r=3b (three times more red as blue) [1]
and
b=2y (twice more blue as yellow.) [2]
Now, replacing [2] to [1] gives
3*2y=r
6y=r.
Hence, the ratio is 6:2:1, because r=6y and b=2y.
Please please help I beg you
Answers
Answer:
Step-by-step explanation:
The Brown family has many pairs of athletic shoes. They counted p pairs all together. They decided to give away 6 pairs, because they had outgrown them. After giving 6 pairs away, the Brown family still has 11 pairs of athletic shoes remaining.
Write an equation to describe this situation.
How many pairs of shoes did the Brown family start with?
Answers
Answer: The brown family started out with 17 pairs of shoes. (11 + 6)
p - 6 = 11 (I would say this is the equation)
Step-by-step explanation:
You can solve the equation by adding +6 on both sides of the equal sign, giving you at the end p = 17
Answer: They started out with 17 and the equation was p - 6 = 11
Step-by-step explanation:
Please help!!!!!! Will mark brainliest!
Answers
Answer:
k
Step-by-step explanation:
A (0,0) B(-6,0)
C (-6, 3)
(x,y) - (x + 6, y + 3)
Answers
Answer:
plz send full question
Step-by-step explanation:
according to your book
PLEAASEEEEEE HELPPPPPP!!!!!!
Answers
someone help this is due soon!!
Answers
Answer:
m∠E = 113
Step-by-step explanation:
Given that ΔDEF ≅ ΔPQR
We know that the following angles are congruent
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
Now how do we know how these angles are congruent?
Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent
Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.
So we are also given that
∠R = 13 and ∠D = 54
and we need to find ∠E
Remember like stated previously ∠R ≅ ∠F so ∠F = 13°
Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)
Using the triangle angle rule (the angles in a triangle add up to equal 180)
so ∠E = 180 - ∠D - ∠F
now we plug in the given information
∠E = 180 - 54 - 13
180 - 54 = 126
126 - 13 = 113
so ∠E = 113
if one jar of coffee costs $y, what will be the cost of four jars of coffee
Answers
Answer:
hi
Step-by-step explanation:
i think so
if one jar of coffee costs y$ then 4 jars of coffee costs
4y$
have a nice day
A new washing machine uses 40% less water than an older model.
A family used 1,200 gallons of water per month to run the old
washing machine. About how much water will they use each
month to run the new washing machine?
Answers
Answer:
840 Gallons
Step-by-step explanation:
Answer:
840 gal
Step-by-step explanation:
I'll give brainlyest help
Answers
Answer:
5 meters
Step-by-step explanation:
40/8=5
Answer:
area of rectangle =length ×width
40m² = 8m × width
40m²/8m = width
5m = width.
Lightning strikes Earth 1000 times in 10 seconds. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answers
Answer:
1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.
Step-by-step explanation:
!DUE TODAY, PLEASE HELP!
The surface area S of a cube is equal to the sum of the areas of the 6 square faces that form the cube. We want to paint the cube and need to know how many square units of paint to purchase. If each face has side length s, the the formula s=6s^2 can be used to find the surface area of the cube. The length of a side is indicated in the cube below (s=x-5). The surface area of the cube is 1944 units^2.
What is the value of x? SHOW and EXPLAIN each step you used to solve.
Answers
Answer:
x = 23
Step-by-step explanation:
surface area of a cube = 6s²
Side length, s = x - 5
Surface area of the cube = 1944 units²
What is the value of x?
surface area of a cube = 6s²
1944 = 6(x - 5)²
1944/6 = (x - 5)²
324 = (x - 5)²
324 = x² - 10x + 25
x² - 10x + 25 - 324 = 0
x² - 10x - 299 = 0
Solve quadratic equation using factorization
(x + 13) (x - 23) = 0
x + 13 = 0 or x - 23 = 0
x = -13 or x = 23
The side length can not be negative
Therefore, x = 23
Solve for m
please help
Answers
Answer:
∠ ADE = 59°
Step-by-step explanation:
The angles in a rectangle are right angles, then
∠ ABC = 90° , that is
4x + 15 + 13x + 7 = 90
17x + 22 = 90 ( subtract 22 from both sides )
17x = 68 ( divide both sides by 17 )
x = 4
Then
∠ CBE = 13x + 7 = 13(4) + 7 = 52 +7 = 59°
Since the sides in a rectangle are parallel then
∠ ADE = ∠ CBE ( alternate angles )
∠ ADE = 59°
What is 3x3x3x3x3x3x3x33x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x33x3x33x3x3x3x3x3x3x3x3x33x3x3x3333333x333x3x3x3x3x3x3x3x3
Answers
Answer:
calculadora es muy bonita hoy
Step-by-step explanation:
Answer:
440000079
Step-by-step explanation:
Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?
Answers
Answer:
1008
Step-by-step explanation:
All you have to do is find what 24 percent of 4200 is.
Express 21/10 as a decimal
Answers
Answer:
2.1
Step-by-step explanation:
find the inequality represented by the graph
Answers
Answer:
y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!
Answers
Answer:
down below
Step-by-step explanation:
Since GA is the median of triangle GHI, IA and AH are equal sides. So, AH = 12.7 and IH = 12.7+12.7 = 25.4
Please help me ASAP! I will pick brainliest
Answers
Answer:
b
Step-by-step explanation:
The closed circle indicates that the -6 is included
and the arrow is going to the bigger numbers
PLEASE HELP FAST 15 POINTS ANDWER IF YOU ONLY KNOW!
Answers
Answer:
i can see the question in ascending order
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
30 points
Answers
Answer:
hope this helps .keep on learning
Please help me with this homework
Answers
On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Answers
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
We need to determine how many centimeters represents 600 km. We will use the following formula:
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
Which of these shapes can be classified as a polygon, quadrilateral, and a parallelogram?
Answers
Answer:
Step-by-step explanation:
helppp meeeeeeeeeeeeeeee
Answers
Answer:
Area=1/2 b×h
A1=1/2×8×14
=56m²
A2=1/2 ×16×14
=112m²
therefore total area
=56+112
168m²
robert wants to buy a hat that is 25% off. if the original price is $35 and 6% sames tax, how much does he pay
Answers
The 6% tax is: $2.1
Total:$24.15
What’s the answer ?
Answers
Answer:
the real answer is 379in³
Answer: 390
Step-by-step explanation:
To find the surface area of the box, you need to find the area of each face of the box. So the front face is 9*14 equals 126. The side of the cube that has the lightest color is 9 times 3 equals 27. Then the last side you can see, is 3 times 14 equals 42. Because this is a rectangular prism, the front face is the same as the back face, the top face is the same as the bottom face, and the left side face is the same as the right side face. So adding all of the faces together you get 42+42+126+126+27+27=390.