These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
Answers
Answer/Step-by-step explanation:
Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.
This will give us the scale factor.
The scale factor indicates how many times larger the second triangle is than the area of the first.
Let's find how many times larger is the area of the second triangle is to the first:
1. ∆ G And ∆ F
[tex] \frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2} [/tex]
[tex] \frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2} [/tex]
[tex] = \frac{36}{9} = 4 [/tex]
∆F is 4 times larger than ∆G
2. ∆ G And ∆ B
[tex] \frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2} [/tex]
[tex] \frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2} [/tex]
[tex] = \frac{4}{16} = 0.25 [/tex]
∆B is 0.25 times ∆G
3. ∆ B And ∆ F
[tex] \frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2} [/tex]
[tex] \frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2} [/tex]
[tex] = \frac{64}{4} = 4 [/tex]
∆F is 16 times larger than ∆B
4. ∆ F And ∆ H
[tex] \frac{Area_{H}}{Area_{F}} = \frac{side_{H}^2}{side_{F}^2}} [/tex]
[tex] \frac{Area_{H}}{Area_{F}} = \frac{2^2}{6^2} [/tex]
[tex] = \frac{4}{36} = \frac{1}{9} [/tex]
∆H is ⅑ times ∆F
5. ∆ G And ∆ H
[tex] \frac{Area_{H}}{Area_{G}} = \frac{side_{H}^2}{side_{G}^2} [/tex]
[tex] \frac{Area_{H}}{Area_{G}} = \frac{2^2}{3^2} [/tex]
[tex] = \frac{4}{9} [/tex]
∆G is 4/9 times ∆G
6. ∆ H And ∆ B
[tex] \frac{Area_{B}}{Area_{H}} = \frac{side_{B}^2}{side_{H}^2} [/tex]
[tex] \frac{Area_{B}}{Area_{H}} = \frac{1.5^2}{2^2} [/tex]
[tex] = \frac{2.25}{4} = 0.6 [/tex] (nearest tenth)
∆B is 0.6 times ∆H
Related Questions
how many solutions does the following equation have 8u+3(1/3u-6)=9u+2u+12
Answers
how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]
Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.
If you haven't learned this yet let me know and I will post the manual work.
:)
Answer:
1 solution
Step-by-step explanation:
When put in general form, the coefficient of u is non-zero, so there is 1 solution.
0 = 9u +2u +12 -(8u +3(1/3u -6))
0 = 11u +12 -8u -3(1/3u -6)
0 = 3u +12 -u +18
0 = 2u +30 . . . general form equation
0 = u +15
-15 = u . . . . . one solution
Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answers
Answer:
Step-by-step explanation:
21:00 i believe
You have budgeted $3,200 per month for your total expenses. The cost of rent per month is $1,300 and the cost of food is $350. To stay within your budget, all other costs C must be no more than what amount (in $)?
Answers
Answer:
All other costs must be $1,550 or less
Step-by-step explanation:
1300+350=1650
3200-1650=1550
Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
What exactly are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).So, cost C must be no more than:
The budget is $3200.The cost of rent and food is $1300 and $350.Then, the remaining money will be:
3200 - (1300 + 350)3200 - 1,650$1,550Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
Know more about mathematical operations here:
https://brainly.com/question/28937794
#SPJ2
Solve for g.
4(g - 17) = 12
g=
Answers
Answer:
[tex]g=20[/tex]
Step-by-step explanation:
[tex]4\left(g-17\right)=12[/tex]
Divide both sides by 4:
[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]
[tex]g-17=3[/tex]
Add 17 to both sides:
[tex]g-17+17=3+17[/tex]
[tex]g=20[/tex]
Answer: g=0 or g=20 i hope this helped
-7x+4y+9-4x=-7-5-5(-x-3y)
Answers
Answer:
for x = −11y/16+ 21/16
for y = 16x/11 +21/11
Step-by-step explanation:
Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.
Answers
Answer:
122 = 2(2w +w)
Step-by-step explanation:
If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.
P = 2(L+W)
122 = 2(2w +w) . . . . an equation for the description
y+z+ 2; use y=-6, and z = 5
Answers
Answer:
1
Step-by-step explanation:
y + z + 2
first you have to replace the variables with the numbers
This is your equation now.
-6 + 5 + 2
Now you just have to solve it.
-6 + 5 = -1 + 2 = 1
or
7 - 6 = 1
How do I isolate R?
Answers
S = (HR(Wi - Wn)) / 1000.
First, multiply both sides by 1000.
1000S = HR(Wi - Wn)
Divide bot sides by H(Wi - Wn)
(1000S) / H(Wi - Wn) = R
what is 70-30+12 then divided by 20
Answers
Answer:
2.6
Step-by-step explanation:
First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6
Answer:
Step-by-step explanation:
40.6 hope it helps
M little sister needs help with a geometry problem
Answers
Answer:
Segment bisector = KL
IJ = 11⅓
Step-by-step explanation:
Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.
Length of IJ:
From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.
Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓
Segment bisector = KL
IJ = 11⅓
Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g
Answers
Answer:
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
Step-by-step explanation:
The question can be better structured and represented as :
[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]
now the derivative of the function of g(x) is g'(x) which is equal to:
[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))
Answers
Answer:
A. 1
B. 2
C. 2
D. 0
Hope it helps :-)
1/2 + .50 + 1/5 help ):
Answers
Answer:
the answer is 1.2 or 1 1/5
Step-by-step explanation:
Answer:
.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5
Step-by-step explanation:
Please solve this. It is confusing for me
Answers
2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.
Answers
Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15
Answers
Answer:
45,42,126
multiply by 3
The next three terms in the sequence are : 45, 42 and 126
Given the sequence 2, 6, 3, 9, 6, 18, 15
Rule :
Multiply the first term by 3 to obtain the second term Subtract 3 from the 2nd term to obtain the third term The third term is multiplied by 3 to obtain the fourth term Subtract 3 from the fourth term to obtain the fifth term. And the process continues....Starting with the first term ; 2 ;
2nd term = 2 × 3 = 6
3rd term = 6 - 3 = 3
4th term = 3 × 3 = 9
5th term = 9 - 3 = 6
6th term = 6× 3 = 18
7th term = 18 - 3 = 15
8th term = 15 × 3 = 45
9th term = 45 - 3 = 42
10th term = 42 × 3 = 126
Hence, the next three terms of the sequence are : 45, 42 and 126
Learn more : https://brainly.com/question/18109692
janet has 30 classmates in her classrom 18 of those classmates are girls if there are a total of 500 students in her school how many students are girls
Answers
Answer:
11000
Step-by-step explanation:
Answer:
11000
Step-by-step explanation:
Plz answer me will mark as brainliest and will be reported if wrong answer
Answers
Answer:
1,2,3,6,and 9
Step-by-step explanation:
18=1×18
=2×9
=3×6
=1,2,3,6and9
Reply back please! Scientific Notation
Answers
Answer:
Sorry didnt realize it didnt post
2.) 1.16 x 10^-1
4.) 9.006 x 10^-9
6.) 3.68 x 10^3
8.) 6.92810457 × 10^-3
Step-by-step explanation:
what is y to the 2 power = 81
Answers
Answer:9
Step-by-step explanation:
You started this year with $440 saved and you continue to save $11 per month.
Write an equation to model this situation (use m for months and s for savings).
Answers
($11/ month plus your already saved $440 equals total savings)
data was collected
Answers
solve for W in the scientific formula c= wtc/1,000
Answers
Answer:
1000/t=w
Step-by-step explanation:
The first thing we need to do is, multiply 1000 to both sides,
c(1000)=wtc
now we need to divide both sides by tc
c(1000))/(tc)=w
The c's on the left side will cancel out
1000/t=w
Step-by-step explanation:
hdhdhdhdhddjdifififiifr
Which expression is equivalent to 9+9x+9y?
Answers
Answer:
9(1 + x + y)
Step-by-step explanation:
[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]
To qualify for a gold status at awesome airlines one must fly less than 35200 but at least 17600 miles each year if Casey takes a 800 miles round trip flight when visiting his parents how many times does Casey need to visit his parents each year to attain gold status
Answers
The decimal .28654 rounded to the nearest thousandth is ____.
Answers
Answer:
8000,I think this is right answer
Answer:
.287
Step-by-step explanation:
5 rounds up which makes the 6 a 7.
identify the range of a function plsss help
Answers
Answer:
C.
Step-by-step explanation:
Range is the set of y-values that are outputted by x-values in a function.
We see that our y-values span from -1 to 3, and since they are closed dots, they are included in our range. Therefore, our range is C.
hat is the quotient of 78.3 ÷ 3.48?
Answers
Answer:
a answer to a division problem
Step-by-step explanation:because thats have it is U-U
Answer:
The quotient is 22.5
Step-by-step explanation:
78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer
Hope this helps
Is 8.168 a rational number?
Answers
Answer:
yes
Step-by-step explanation:
The planet Mars has a radius of 3400 km. What is the volume of Mars?
Write your answer in scientific notation to three decimal places.
Answers
Answer:
1.646×10¹¹ km³.
Step-by-step explanation:
From the question given, we obtained the following information:
Radius (r) = 3400 km
Volume (V) =.?
The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:
Radius (r) = 3400 km
Pi (π) = 3.14
Volume (V) =.?
Volume of a sphere = 4/3 πr³
V = 4/3 × 3.14 × (3400)³
V = 4/3 × 3.14 × 3.9304×10¹⁰
V = 1.646×10¹¹ km³
From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³