Figures A and b are similar. Figure A has an area of 18 square feet. Figure b has an area of 98 square feet and one of the sides lengths is 14 feet find the corresponding side length
Answers
Answer:
6 ft
Step-by-step explanation:
The ratio of the square of the sides of two similar figures = the ratio of their area
Let x represent the missing side corresponding side length
Therefore,
Area of figure B/area of figure A = square of side length of figure B/square of the side length of figure A
Thus:
98/18 = 14²/x²
98/18 = 196/x²
Cross multiply
98*x² = 196*18
98x² = 3,528
Divide both sides by 98
x² = 3,528/98
x² = 36
x = √36
x = 6
Therefore, missing corresponding side length = 6 ft
The corresponding side length is 2.57 feet
Similar shapesGiven that figures A and b are, hence the ratio of the area to the length is equal to a constant as shown:
[tex]\frac{A}{L} = \frac{a}{l}[/tex]Substitute the given parameters into the formula to have:
A = 98 square feet
L = 14 square feet
a 18 square feet
[tex]\frac{98}{14} = \frac{18}{l}\\98l=252\\l = 2.57 feet[/tex]
Hence the corresponding side length is 2.57 feet
Learn more on similar shaps here: https://brainly.com/question/14285697
Related Questions
Plz help me have a blessed one
Answers
Devika is making porridge by following this recipe.
She has 4 pints of milk and plenty of other ingredients.
What is the maximum number of whole servings she can make?
Note: 1 pint = 568 mL
Recipe: Serves 1
40 g oats
300 mL milk
Answers
2272ml divided by 300ml (the amount the recipe asks for) = 7.573...
round it down to get the nearest whole number, you end up with 7. (you can’t round it up to 8, because she has less than the amount needed for 8 servings)
so, the maximum number of whole servings she can make is 7.
Which measure would change if you replaced 67 with 115
23, 89, 15, 67, 32, 41
A. Lower quartile
B. Mean
C. Mode
D. Median
HELP PLEASE!
Answers
As this value is greater than 67 and the highest number in original sequence
Mrs. Sarto told her son that if he babysat his baby sister, she would pay him $5.80 per hour. If Mrs. Sarto’s son babysits his sister for 5.2 hours, how much money will he be paid?
Answers
Solution
$5,80*5.2 hours =$30.16
Equations of Exponential Functions
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) p = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t
Which town decreasing the fastest?
a. ii c.iii
b. v d. vi
Please select the best answer from the choices provided
Answers
Answer:
B. v
Step-by-step explanation:
I calculated it logically
The florist sells roses, carnations, tulips, daisies, and violets. How many ways can he choose three types of flowers for an arrangement?
Answers
Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?
Answers
Answer:no it would be 4
Step-by-step explanation:
express the following ratios as fractions in their lowest term
a.4 birr to 16 cents
b.5 days to 100 hrs
Answers
Answer:
1/4 is A and 1/20 is B
Step-by-step explanation:
Not much of an explanation needed
The ratios 4 birr to 16 cents and 5 days to 100 hrs can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.
What is Ratio?Ratio is the relationship between two quantities which shows the number of times that the one quantity is contained within the other quantity.
If 'a' is related to 'b', they can be denoted in terms of ratio as a : b.
Ratios can be expressed as fractions.
(a) 4 birr to 16 cents = [tex]\frac{4}{16}[/tex]
The highest common factor of both 4 and 16 is 4.
[tex]\frac{4}{16}[/tex] = (4 × 1) / (4 × 4) = [tex]\frac{1}{4}[/tex]
(b) 5 days to 100 hrs = [tex]\frac{5}{100}[/tex]
The highest common factor of 5 and 100 is 5.
[tex]\frac{5}{100}[/tex] = (5 × 1) / (5 × 20) = [tex]\frac{1}{20}[/tex]
Hence the ratios can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.
To learn more about Ratios, click on the link given below :
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What is -6 - t/4 = -1
Answers
Answer: t=-20
Step-by-step explanation:
An aquarium holds 11.5 cubic feet of water, and is 2.2 feet long and 1.6 feet wide. What is its depth??
The depth is _____ feet.
Answers
Answer: 3.52
Step-by-step explanation:
Hey!
So for this problem, we need to follow the Volume formula which is:
length x width x height
We know our length and width so all we need is our height (depth)
First , We multiply our length and width.
2.2 x 1.6 = 3.52
Next, we figure out what times this will equal 11.5. We can see that this number can’t be times 4 because that would make it twelve so we need to lower it. We can divide 11.5 (the volume) by 3.52 to get our answer.
We get 3.267. Rounded to the hundredths it would be 3.27 ft.
Hope this helps! :D
Sorry if I messed anything up!
Comment down below if you have any further questions!
Please someone help me !!
Answers
Answer: $26.81
Step-by-step explanation: the tank holds 16.5 gallons. Meaning, half of the tank is 8.25 gallons. Multiply that by the cost of the gas, 3.25, and you get 26.81
Eden has 300 pounds in his savings accounts. his bank offers him a fixed 5 percent simple interest rate per annum, for a period of 3 years?
How much interest will he have earned after 3 years?
Answers
Answer:
Interest of £45
Step-by-step explanation:
£300×.05×3=£45
If function gis defined by the equation y-3x = -14, which equation represents the function in function notation?
O A g(x) = 3x - 14
OB. 8(X) = -3x - 14
OC 8(*) = 3x + 14
OD. 8(X) = -3x + 14
Answers
Answer: B
Step-by-step explanation:
Claire tosses a coin and rolls a number cube 100 times. How many times should she expect to have the coin show heads and roll a 1 or 2?
Answers
Which graph represents an exponential function?
Answers
Answer:
The answer to your question is the third one
Step-by-step explanation:
The first graph is the graph of a
The second graph is of a rational function
The third one is of an exponential function
FIND THE SLOPE . THE PICTURE ATTACHED IS THE FULL QUESTION ,
Answers
Answer:
-12/5
Step-by-step explanation:
slope = change in y / change in x
change in y = 12 (from top to bottom) = 6 - (-6)
change in x = -5 (from top to bottom) = -2 -3
slope = 12/-5 = -12/5
Find one value of x that is a solution to the equation:
(3x + 7)2 = -6x – 14
Answers
Answer: x = -7/3
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/%5Cleft(3x%20%2B%207%5Cright)2%20%3D%20-6x%20-%2014
there are the steps
Answer:x=-7/3
Step-by-step explanation:(3x+7)(2)=−6x−14
(3x)(2)+(7)(2)=−6x+−14(Distribute)
6x+14=−6x+−14
6x+14=−6x−14
6x+14+6x=−6x−14+6x
12x+14=−14
12x+14−14=−14−14
A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses 1 2/3 pounds of gravel. For each pound of gravel, he uses 2/5 pound of cement. He is making enough concrete that he needs to use 3 pounds of sand. How many pounds of cement does he use? PLEASE HELP DUE NOW !! TYYY
A. 1 pound
B. 1 4/15 pounds
C. 2 pounds
D. 2 1/15 pounds
Answers
Using mathematical operations, the construction worker requires C. 2 pounds of cement to mix 3 pounds of sand.
What are the mathematical operations?The basic mathematical operations are subtraction, addition, division, and multiplication.
These mathematical operations combine numbers, variables, mathematical operands, and the equation symbol to solve mathematical problems.
In this situation, we can apply the mathematical operation of multiplication to determine the quantity of cement required for 5 pounds of gravel.
The quantity of gravel per pound of sand = 1²/₃ = 1.667 pounds
For 3 pounds of sand, the quantity of gravel required = 5 pounds (1²/₃ x 3)
The quantity of cement per pound of gravel = ²/₅ pounds or 0.4
For 3 pounds of sand and 5 pounds of gravel, the quantity of cement required = 2 (5 x 0.4) or (5 x ²/₅)
Thus, 2 pounds of cement are needed to mix with 3 pounds of sand and 5 pounds of gravel.
Learn more about mathematical operations at https://brainly.com/question/4721701
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As a member of the United Nations, you must consider each of the following proposals. In each case, assume that the United Nations would like to receive as many emergency supplies as possible, while still having each nation give equally.
a. One proposal is that each country gives medicine packages. How many food packages should the United Nations require from each country in this case? Explain how you made your decision.
b. Another proposal is to get the largest number of medicine packages possible. What is the largest number of medicine packages that each country can offer? How did you find your answer?
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
For point a:
Initially, we have had to figure out how many packaged food the country should offer with both the biggest quality and then the number of packages each country should give.
Find out just how many food packages a nation should donate with both the lowest budget.
For point b:
They first need to figure out just how many medication packages the country should donate on the lowest budget, and then how many packages each country can donate.
Find out just how many medicinal packets the smallest budget nation can donate.
Please help answers do in 30 minutes
Answers
Answer:
The angle for x would be 45°
Alan has 11 nickels and
dimes in his pocket. When
he counted his change he
found he had $0.95. How
many dimes does Alan
have?
Answers
Answer:
4
Step-by-step explanation:
Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.
11 × 5 = 55
95 - 54 = 40
Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.
40/10=4
how many times does 5 go into 103?
Answers
Answer and Step-by-step explanation:
We know that 5 can go into 100 twenty times, so lets try 20 and see what happens.
5 times 20 = 100
103
- 100
3
We get a remainder of 3. This means that 5 goes into 103 only Twenty times.
If we were to fully divide 103 by 5, then 5 goes into 103 '20.6' times.
#teamtrees #PAW (Plant And Water)
A six sided die is rolled two times arrange the events in order from the event with the highest probability to the event with the lowest probability
Answers
Answer:
6
Step-by-step explanation:
A six sided die is rolled two times arrange the events in order from the event with the highest probability to the event with the lowest probability
correct answers only, if you send me a link then you will be reported
Answers
Answer:
c
Step-by-step explanation:
I need help pls now ??
Answers
Help me with this please lol.
Answers
Answer:
Flower Bed A is the 3rd on down
C=10pi, A = 25pi
Flower Bed B is the 5th one down
C=12pi, A=36pi
9514 1404 393
Answer:
A) 10π ft; 25π ft²
B) 12π ft; 36π ft²
Step-by-step explanation:
The circumference is given by ...
C = πd = 2πr . . . . . . . . . . for radius r or diameter d
The area is given by ...
A = πr² = (π/4)d²
__
A) For a diameter of 10 ft, the circumference is π(10 ft) = 10π ft.
The area is (π/4)(10 ft)² = 25π ft².
__
B) For a radius of 6 ft, the circumference is 2π(6 ft) = 12π ft.
The area is π(6 ft)² = 36π ft².
A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.
Zoom in if you cannot see!
Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)
Answers
Answer:
Option B, would be the correct answer: 75 labels per minute
Step-by-step explanation:
The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{150}{2}[/tex]
Slope = 75
Hope this helps!
Write the equation of a line in slope-intercept form that has a slope of -5 and passes through the point (3,- 2)
Answers
9514 1404 393
Answer:
y = -5x +13
Step-by-step explanation:
We know from the slope-intercept equation ...
y = mx + b
that the y-intercept b can be found as ...
b = y - mx
Filling in the given values of m and (x, y), we find ...
b = -2 -(-5)(3) = 13
Then the equation is ...
y = -5x +13
If a coin flipped twenty five times and lands tails up seventeen times, the blank
Probability that the coin lands up is 17/25
Answers
Ashanti cashed her paycheck at Cash-n-Go. The fee at Cash-n-Go is 7.5% of the amount of the check. Her paycheck was $670. How much was the fee for Ashanti to cash her paycheck?
Answers
Answer:
$50.25
Step-by-step explanation:
7.5% as a decimal is 0.075.
So, the fee is [tex](0.075)(670)=\$50.25[/tex].