A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
Answers
Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
Related Questions
Fill in the missing parts 5/7 of ... is 1/7?
Answers
Answer:
5/7 x = 1/7
x = (1/7) / (5/7)
x = (1/7) * (7/5)
x = 7 / 35
x = 1 / 5 or .2
Step-by-step explanation:
3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?
18
54
126
108
Answers
Answer:
m∠SRW = [tex]126^{o}[/tex]
Step-by-step explanation:
Given: <VRW = 3x
<TRS = (2x + 18)
What is m∠SRW?
<TRS = <VRW (vertically opposite angles)
2x + 18 = 3x
18 = 3x - 2x
x = 18
<VRW = 3x = 3 x 18 = [tex]54^{o}[/tex]
<TRS = (2x + 18) = 92 x 18 + 18)
= [tex]54^{o}[/tex]
Also,
<TRV = <SRW (vertically opposite angles)
So that,
<TRU + <URV = <SRW
But,
<TRV + <SRW + <TRS + <VRW = [tex]360^{o}[/tex]
<TRV + <SRW + [tex]54^{o}[/tex] + [tex]54^{o}[/tex] = [tex]360^{o}[/tex]
<TRV + <SRW + [tex]108^{o}[/tex] = [tex]360^{o}[/tex]
<TRV + <SRW = [tex]360^{o}[/tex] - [tex]108^{o}[/tex]
<TRV + <SRW = [tex]252^{o}[/tex]
2 <SRW = [tex]252^{o}[/tex] (∵ <TRV = <SRW)
<SRW = [tex]\frac{252}{2}[/tex]
= [tex]126^{o}[/tex]
Therefore,
m<SRW = [tex]126^{o}[/tex]
Answer:
short answer its 126 so C.
Step-by-step explanation:
THIS IS FOR FUTURE PPL ON EDGE 2022!! JUST HAD IT
Jade types 40 words in 7 minutes. Andrew types 35 words in 6 minutes. Who is the faster typist?
Answers
Andrew types faster than Jade
40/7 = 5.7 words per minute (Jade)
35/6 = 5.8 words per minute (Andrew)
May I have brainliest please? :)
Please help due in 10 minutes
Answers
Answer:
The 2nd one should be the correct answer
answer: the 2nd option. (aka: 2(3x+5)
if : 3x+3x+5+5= 6x+10
THEN: 2(3x+5)
HOW: 2 times 3x.
2 times 5
6x+10.
hope i helped! we just passed this subject in my class. Good luck!!
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?
Answers
Answer: x ≥0,y ≥3000
Step-by-step explanation:
that’s what i put and got it right so ♀️
What is the missing number
Answers
Answer:
11/12
Step-by-step explanation:
9/11 x 11/12 = (3 x 3)/11 x 11/(3 x 4) = 3/4
If the two factors (below, not the picture tho) 6 and 10,000,000 make 60,000,000 what is the second factor is the equation?
Answers
Answer:
It's 6 to the power of 7
Step-by-step explanation:
60,000,000
There are 7 zeros
Is it a, b, c, d, plz answer this
Answers
Answer:
d 4x^2 + 24x - 8
Step-by-step explanation:
Perimeter of the rectangle = 2x² - 5 + 12x + 1 + 2x² - 5 + 12x + 1
= (2x²+ 2x²) + (12x+ 12x) + (- 5 + 1 - 5 + 1)
= 4x² + 24x - 8
Solve the proportion (w+12)/(3w+5)=3/4
Answers
Answer:
[tex]w=6.6[/tex]
[tex]18.6:24.8::3:4[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\(w+12):(3w+5)::3:4\\By\ the\ proportion\ method\ of\ multiplying\ the\ means\ and\ the\ extremes,\\we\ get,\\(w+12)*4=3*(3w+5)\\4w+48=9w+15\\48-15=9w-4w\\33=5w\\[/tex]
[tex]w=33/5\\w=6.6[/tex]
[tex]By\ substituting\ the\ value\ of\ w\ in\ the\ proportion. you\ get:\\(6.6+12)/(3*6.6+5)=3/4\\18.6/24.8=3/4\\18.6:24.8::3:4[/tex]
13. Describe the number of solutions for the equation. (1 point)
3(x – 3) = 3x
O one solution
O no solution
O infinite solutions
What one
Answers
Answer:
no solution
Step-by-step explanation:
Given
3(x - 3) = 3x , that is
3x - 9 = 3x ( add 9 to both sides )
3x = 3x + 9 ( subtract 3x from both sides )
0 = 9 ← not possible
This indicates the equation has no solution
Jonathan is shopping for a frame for a square painting. Each side measures 9.5 inches. What is the perimeter of the painting?
Answers
Harper surveyed 380 of the students in her school about their favorite color. 323 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answers
Answer:
85%
Step-by-step explanation:
Method 1: Set up a proportion
Set up an equation of the form:
part
whole
=
whole
part
=
percent
100
100
percent
Assign the variable
x
x to the unknown value:
x
=
x=
percent
percent
The question asks what
percent
percent of all the students is 323
Substitute the known values with the numbers given in the problem, and the unknown value with
x
x:
323
380
=
380
323
=
x
100
100
x
Solve for
x
x:
100
⋅
323
=
100⋅323=
380
⋅
x
380⋅x
Cross multiply
32300
380
=
380
32300
=
380
x
380
380
380x
Divide both sides by 20
85
%
=
85%=
x
x
Simplify
Method 2: Convert to decimal and multiply
Find
323
out of
380
as a decimal:
Find 323 out of 380 as a decimal:
323
380
=
380
323
=
0.85
0.85
Convert decimal to percent:
Convert decimal to percent:
0.85
×
100
=
0.85×100=
85
%
85%
Move decimal 2 places to the right
number
percent
323
85%
380
100%
Population data from three towns is displayed in the tables below. Which town has growth that follows an exponential model?
Answers
Answer:
It would have to be D.
Step-by-step explanation:
None of the tables display an exponential growth of population.
Please! Find the values of x,y and Z
Answers
Answer:
x = 24
y = 10
z = 17
Explanation:
It's long to explain, so heres a picture of how solved each. hope this helps!! :)
This is 8th grade math 5y+2×5h=4h Solve for h
Answers
Answer:
h= −5/6y (negative 5 y over 6)
Step-by-step explanation:
5y+(2)(5)h=4h
Step 1: Add -4h to both sides.
10h+5y+−4h=4h+−4h
6h+5y=0
Step 2: Add -5y to both sides.
6h+5y+−5y=0+−5y
6h=−5y
Step 3: Divide both sides by 6.
6h/6=−5y/6
h=−5/6y
Answer:
h = - 5y/ 6
Step-by-step explanation:
5y + 2 * 5h = 4h
Using BODMAS
Perform multiplication first
5y + 10h = 4h
Collect like terms
5y = 4h - 10h
5y = - 6h
Divide both sides by - 6
5y / - 6 = - 6h / - 6
h = - 5y/ 6
Mika taught her sister the steps for diviting a decimal by a decimal which instructions are correct
Answers
Complete question is;
Mika taught her sister the steps for dividing a decimal by a decimal. Which instructions are correct?
A) 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
B) 1. Multiply the dividend by a multiple of 10 to create an integer. 2. Multiply the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
C) 1. Divide the divisor by a multiple of 10 to create an integer divisor. 2. Divide the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
D) 1. Divide the dividend by a multiple of 10 to create an integer. 2. Divide the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
Answer:
A) 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
Step-by-step explanation:
In Mathematics, divisor is the number by which the dividend should be divided.
Now, if we want to divide a decimal by another decimal, to make things easy we have to transform both numbers from decimals to integer form to make direct division easier.
The first step will be to multiply the divisor by a multiple of 10. The multiple of 10 will depend on the number of decimal places.
The second step is to do the same to the dividend.
The last step would be to divide the integers by applying rules of division of numbers.
The correct option is Option A:
The local candle store marks up the price of its candles by 75% before selling them. If the store paid
the distributor $6.99 per candle, how much will a candle cost in the store?
Answers
Answer:
$12.23
Step-by-step explanation:
75/100 = 0.75
0.75 x 6.99 = 5.2425
6.99 + 5.2425 = 12.2325
What is an equation of the line that passes through the point (-5, -1) and is
parallel to the line 4x + 5y = 45?
Answers
Answer:
y = -4/5 x - 5
Step-by-step explanation:
The help is needed for these times
Answers
Answer:
This be soooo hard ;w;
Step-by-step explanation:
.w.
45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?
Answers
Answer:
9 girls
Step-by-step explanation:
total girls tried out = 45
did not make the team
= 20% of the girls
= 20/100 × 45
= 9 girls
.20 x 45 = 9
brainliest?
-18=7v+9-10v
slove for v.
Answers
Answer:
v=9
Step-by-step explanation:
-18 = 7v + 9 - 10v
combine like terms
-18 = -3v + 9
-9 -9
-27 = -3v
divide both sides by -3
9 = v
or
v = 9
Hope this helps!!!
Which of the following relations is a function?
OA. (0,4), (-3,2), (8, 1), (-7, 2)
OB. (0,0), (-3, 3), (8, 1), (-3,5)
OC. (0,4), (-3, 6), (0, 3), (-7, 2)
OD. (8, 1), (-3, 4), (0, 1), (8, 2)
Answers
What is half of 6? What is half of half of 6?
Answers
Answer:
The half of 6 is 3 the half of 3 is 1.5 the half of 1.5 is 0.75
.If 65+5y = 82, 3x +23= 54 and 5z +43= 110, find 3x+ 5y +5z
Answers
Step-by-step explanation:
65+5y=82
5y=82-65
5y=17
y=17/5=3.4
3x+23=54
3x=54-23
3x=31
x=31/3=10.3
5z+43=110
5z=110-43
5z=67
z=67/5=13.4
3x+5y+5z3.
3(3.4)+5(10.3)+5(13.4)
10.2+51.5+67
128.7
Solve the following system of equations:
-2x + y = 1
-4x + y = -1
A: (3, 1)
B: (-1, 3)
C: (-1, -3)
D: (1, 3)
Answers
Answer:
x=1,y=3
correct answer is (1,3)
Step-by-step explanation:
We can quickly eliminate y by subtracting one equation from the other
(-2x+y=1)-(-4x+y=-1)
2x=2
x=1
plug x=1 into equation 1
-2(1)+y=1
y=1+2=3
I will mark brainlist for this science question please. I need to figure out where to put where. And what percentages. Your choices of percentages is 0, 25, 50, 75, and 100.
Answers
Answer:
Long wings: 0
Short wings: 100
Step-by-step explanation:
Genotype of the flies: ww
The cross will yield the genotype ww and the flies will express the recessive phenotype which is short wings.
The probability for long wings will be 0 as there is no dominant allele present. The probability for short wings will be 100 as all the flies will have short wings.
Hope that helps.
4. Mary has a pet ferret. She bought a bag of ferret food that contains 12 cups of food. The maker of the ferret food suggests feeding a ferret only a cup of food a day. If Mary follows the suggestion, for how many days can she feed her ferret from the bag of food before she needs to open a new bag?
Answers
Answer:
12 days.
Step-by-step explanation:
She would have enough food to feed her pet ferret for 12 days, at a cup a day, before she would need to buy more.
Hope this helps!, If so please mark the brainliest and peace and love!!!!
(3,-2) (4,5)
m = [?]
Answers
Answer:
m = 7
Step-by-step explanation:
Use the slope formula.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}[/tex]
The slope is 7.
Hope this helps.
Answer:
m=7
Step-by-step explanation:
Slope is the change in Y over the change in X
The change in Y is 7
The change in X is 1
7/1 = 7
Questio
Hint
Your school's basketball team is playing in the championship game. For the game, the
cheerleaders want to buy a banner that costs $44. They also want to buy small items to give to
students in the stands. Pompoms cost $2.23 each. Noisemakers cost $0.77 each. The cheer-
leaders have a total budget of $197 for the game.
Show Me
Answers
A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls. Plan B charges $20 plus $0.50 per minute for calls. For what number of minutes do both plans cost the same amount?
Answers
Answer:
60 minutes
Step-by-step explanation:
Let the number of minutes be represented as x
For Plan A
Plan A charges $35 plus $0.25 per minute for calls.
$35 + $0.25 × x
35 + 0.25x
For Plan B
Plan B charges $20 plus $0.50 per minute for calls.
$20 + $0.50 × x
20 + 0.50x
For what number of minutes do both plans cost the same amount?
This is calculated by equating Plan A to Plan B
Plan A = Plan B
35 + 0.25x = 20 + 0.50x
Collect like terms
35 - 20 = 0.50x - 0.25x
15 = 0.25x
x = 15/0.25
x = 60 minutes.
Hence, the number of minutes that both plans cost the same amount is 60 minutes