Answer:
If we have two figures, F and F'
Such that if we start with F, and dilate it with a scale factor K, we get F'.
We will have:
All the measures of F', are K times the correspondent measures of F.
Then if F has s₁, s₂, ..., sₙ sides, the sides of F' will be:
K*s₁, K*s₂, ..., K*sₙ
The ratio between correspondent sides will be equal to K
The ratio between perimeters will also be equal to K (because the perimeter is the sum of all the sides of each figure, so we can just take K as a common factor)
In the case of the area, because we usually multiply a measure by another, a factor K^2 will appear, and the quotient between the areas is K^2
And finally, for the volumes, the ratio will be K^3
a) The ratio of corresponding lengths is K, in this case is 5/2
b) The ratio of the perimeters is K, in this case is 5/2
c) The ratio of the areas is K^2, in this case is (5/2)^2 = 25/4
d) The ratio of the areas is K^3, in this case is (5/2)^3 = 125/8
e) Two figures are similar if the figures have the same shape, then the corresponding angles are exactly the same, then the ratio of corresponding angle measures is 1.
Find the value of x. Round to the
nearest tenth.
26
12
X
x = [?]
Answer:
x = 10.8
Step-by-step explanation:
cos 26° = x/12
0.8988 = x/12
x = 10.785
Answer:
Step-by-step explanation:
10.8
kindly help me please tq
Answer:
C
Step-by-step explanation:
[tex]\frac{4}{5}[/tex] × 45 = 4 × 9 = 36 ← Marlina's books
[tex]\frac{2}{3}[/tex] × 45 = 2 × 15 = 30 ← Daniel's books
36 - 30 = 6
Marlina has 6 more novels than Daniel → C
A randomly generated list of integers from 0 to 4 is being used to simulate an event, with the numbers 1, 2, and 3 representing a success. What is the estimated probability of a success?
A. 75%
B. 25%
C. 60%
D. 40%
Answer:
I think the anwser is
C.60 percenthope it helped
What is the sum of the following equation?
Answer:
4/10 = 40/100
40/100 + 22/100 = 62/100
62/100 = 31/50
Step-by-step explanation:
A population of rabbits in a lab, r(x), can be modeled by the function r(x) = 30(1.02)^x, where x represents the number of days since the population was first counted. Determine, to the nearest tenth, the average rate of change from day 35 to 52, including units
Answer:
The population of the rabbits in the lab grew, on average, at a rate of 1.4 rabbits per day from day 35 to 52.
Step-by-step explanation:
The average rate of change of a function between two points is essentially the slope between them.
We have the function:
[tex]r(x)=30(1.02)^x[/tex]
And we want to find the average rate of change from x = 35 to x = 52.
We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Our first point will be (35, r(35)) and our second point is (52, r(52)). Substitute:
[tex]\displaystyle m=\frac{r(52)-r(35)}{52-35}[/tex]
Note that our outputs y are rabbits and our inputs or x are days. Substitute:
[tex]\displaystyle m=\frac{30(1.02)^{52}-30(1.02)^{35} \text{ rabbits}}{52-35\text{ days}}[/tex]
Use a calculator:
[tex]\displaystyle m\approx\frac{1.4\text{ rabbits}}{\text{day}}[/tex]
So, the population of the rabbits in the lab grew on average at a rate of 1.4 rabbits per day from day 35 to 52.
Please help! I will give Brainliest!
Answer:
A. 168
is the answer
Step-by-step explanation:
BRAINLIEST
Can someone please give me the hardest statistics multiple choice question they can come up with that can be answered with ap sats knowledge and justification for the correct answer, please
Answer:
So sorry, I pressed the add answer button on accident!!! So sorry, I have absolutely no idea how to answer this.
Step-by-step explanation:
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!!
Answer:
No
Step-by-step explanation:
If you do the math of 11 x 1.89 sense he wants to buy 11 pairs of socks that are 1.89 each you would get 20.79 being 79 cents over the amount he has.
(If discount applied then yes he can afford)
Which equation could be used to find the length of the hypotenuse?
Answer:
11^2+6^2=c^2
Step-by-step explanation:
Find the area of the figure.
Answer:
37.5 Units
Step-by-step explanation:
The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f
Answer: b
Step-by-step explanation:
Answer:B
Step-by-step explanation:
The volume of a spherical ball is 36,000π cubic centimeters. Find the radius of the ball. and pls no link just the answer pls
Answer:
30cm
Step-by-step explanation:
The formula for volume of a sphere is [tex]\frac{4}{3} \pi r^2[/tex]. If [tex]\frac{4}{3} \pi r^2=36000\pi[/tex] then r=30.
-2x + 2y = -4
y = -3x + 6
use substitution method for this problem no other one
86 POINTS TO WHOEVER ANSWERS PLS IM IN DESPERATE HELP
Answer: x=2
Step-by-step explanation: refer to image
Find the volume of the prism if the area of the pentagonal base is 110cm.
Answer:
2202.21 is the voloume
Step-by-step explanation:
Find the measure of
Answer:
Step-by-step explanation:
360 degrees dapat ang total so 175+55=230
360-230= 130
130 degrees po yung measurement ng <RPQ
Find the measure of angle b.
Which is the answer?
A.79
B.101
C.169
B.11
Can you help me, I would appreciate it very much:)
Find the length of the hypotenuse.
Answer:
37
Step-by-step explanation:
Use Pythagorean Theorem: a²+b²=c² (c is hypotenuse)
35²+12²=1225+144=1369
√1369=37
(Use a calculator :)
Please help for final!!
How big is
Answer:
72degrees
Step-by-step explanation:
triangle=180
C:90 B:18
180-90-18=72
A analog clock (with hour and minute hands) is set to 5:00 P.M. After 30 min, what will the measure of the major arc formed by hour and minute hands.
Answer:
180 degrees
Step-by-step explanation:
Given
[tex]Time = 5:00pm[/tex]
Required
The measure of the major arc, 30 minutes after
First, we calculate the time after 30 minutes
[tex]Time = 5:00pm +30\ mins[/tex]
[tex]Time = 5:30pm[/tex]
At 5:30pm, the hour and the minute hand will be directly opposite each other.
In other words, the hands divide the time into two equal parts (180 degrees each)
At this point, there is no major or minor arc as both sides have the same measurement
Hence, the measure of the arcs is 180 degrees
ASAP
-Will mark Brianist
-Please explain
Answer:
The two are equivalent because when you multiply the brackets in A, you would get 24d + 6p, which is the same as B.
Step-by-step explanation:
Have a good day :)
2. The following triangle, AABC, has angle measures as shown.
3(x+ 2)° )
35
52
B
Step 1: What is the value of Show your work. (2 pts.)
Step 2: What is the measure of angle C? Show your work. (2 pts:)
Step-by-step explanation:
3(x+2)+35+52=180
3x+6+35+52=180
3x+93=180
3x=180-93
x=87/3
x=29
value of angle C=3(29+2)
=3×31
=93 degree
need help on this(proving triangles congruent)ASAP
Answer:
angle TRU = angle TRS (RT bisects angle R)
RT = RT (Common side)
RU = RS (given)
so ∆ RUT ≅ ∆ RST (BY SAS)
In one minute adrians fan oscillates 12 times if the fan is on for 8 minutes how many time will it oscillate
Answer: 96 oscillations
Step-by-step explanation:
The fan oscillates at a rate of 12 times per minute.
This means that for every minute that goes by, the fan would have oscillated 12 times.
If the fan is on for 8 minutes, the number of oscillations is:
= Oscillations per minute * number of minutes
= 12 * 8
= 96 oscillations
Find the value of x.
Answer:
x = 19
Step-by-step explanation:
180-123 = 57
x = 57/3
x = 19
Answer:
x=19
Step-by-step explanation:
180°-123°=3x
3x=57°
x=19
Can you help me im stuck on this
One question
Answer:
She forgot to multiply. She wasn’t supposed to add.
Step-by-step explanation:
Jasmine made an error where the 9(9) connect. She added and got 18, but instead, you’re supposed to multiply the 9 x 9, which is 81. Now, we add the 3, and the sum is 84m.
Please help!! :3
Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?
Answer:
x = 22.5 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FH}{AC}[/tex] = [tex]\frac{GH}{BC}[/tex] , substitute values
[tex]\frac{x}{9}[/tex] = [tex]\frac{12.5}{5}[/tex] ( cross- multiply )
5x = 112.5 ( divide both sides by 5 )
x = 22.5 cm
Find u+v.
u= (5,1),v = (1,6)
Answer:
<6,7>
Step-by-step explanation:
u is the vector <5,1>
v is the vector < 1,6>
Add the corresponding components
< 5,1> + <1,6> = <5+1, 1+6> = <6,7>
Help please I don’t understand!
Answer:
The second one/B
Step-by-step explanation:
Fish tank has sprung a leak at the bases of the tank 5% of the water is lost every minute How much water is lost from the tank after ten minutes
Answer: 50%
Step-by-step explanation:
From the question given, we are informed that a fish tank has sprung a leak at the bases of the tank and that 5% of the water is lost every minute
Based on the information given, the amount of water that is lost from the tank after ten minutes will be:
= 5% × 10
= 0.05 × 10
= 0.5
= 50%
This means that after 10minutes, 50% of the water will be lost.
Ian invested $20,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded continuously. Lauren invested $20,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 % compounded monthly. After 20 years, how much more money would Lauren have in her account than Ian, to the nearest dollar?
Answer:
$5047
Step-by-step explanation:
im smart
deltamath gang