What is the height of the boat in the scale model?
What length is the real boat?
Answers
Answer:
15
Step-by-step explanation:
a) The height of the real boat is 15 feet and the scale model is 3 inches
b) The scale model is 9 inches , and the real height is H = 45 feet
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The proportion of scale model of the boat to the real boat is 1 : 5
Now ,
a)
The height of the real boat is 15 feet and the scale model is k inches
From the proportion , we get
1 / 5 = k / 15
Multiply by 15 on both sides , we get
k = 3 inches
b)
The scale model is 9 inches , and the real height is H
From the proportion , we get
5 / 1 = H / 9
Multiply by 9 on both sides , we get
H = 45 feet
Hence , the proportion is solved
To learn more about proportion click :
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Related Questions
An airplane can ascend at a rate of 54 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?
Answers
Answer:
The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.
Step-by-step explanation:
Given that the airplane ascends [tex]54\,\frac{1}{2}[/tex] ([tex]\frac{109}{2}[/tex]) meters in [tex]\frac{2}{3}[/tex] seconds, we calculate the ascent rate of the airplane by simple rule of three:
[tex]x = \frac{\frac{109}{2}\,m }{\frac{2}{3}\,s } \times 1\,s[/tex]
[tex]x = \frac{327}{4}\,m[/tex]
[tex]x = 81\,\frac{3}{4}\,m[/tex]
The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.
what is the measurement of angle x
the angle on the right measures 54 degrees and the left measures 38 degrees
Answers
Answer:
16
Step-by-step explanation:
180 is a straight line.
x is among that line so you must subtract the angles you know from 180.
180-54-38= 16
plz answer the picture below fast and correctly!
Answers
Answer:
a) BOC = 80⁰
b) COD = 60⁰
Step-by-step explanation:
..................
Answer:
BOC is 80 and COD is 60
Step-by-step explanation:
If DOF is 120 you subtract 40 from it because of of AOB then COD is the remaining of 180
Two balls are picked in succession without replacement -4 white balls and 5 green balls let Y be the random representing the number of green balls. Find the value of the random variable Y.
Answers
Answer:
If Y represents the number of green balls then it can have values from 0- 5
that is it can have all the value 0,1,2,3,4 and 5.
The probability of getting both balss green without replacement is 0.27778
Step-by-step explanation:
If the balls are not replaced then this is the dependent event .
The probability of getting the first ball is given be = 5/9
where 5 is the number of green balls and 9 is the total number of balls.
The probability of getting the second ball green given that first is also green is = 5/9* 4/8= 20/72= 0.2778
If Y represents the number of green balls then it can have values from 0- 5
that is it can have all the value 0,1,2,3,4 and 5.
0 means there can be no green balls or white balls.
1 means there can be one green ball.
2 means there can be 2 green balls and so on.
In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:
the chance of the event is 0.2778%
So organizing the information given in the statement is:
If the balls are not replaced then this is the dependent event .The probability of getting the first ball is given be = 5/95 is the number of green balls and 9 is the total number of balls.So with this information we can write that:
[tex]5/9* 4/8= 20/72= 0.2778[/tex]
See more about probability at brainly.com/question/795909
The net of a square pyramid is shown in the diagram.
What is the total surface area of the square pyramid in square inches?
Answers
Answer:
208
............
The total surface area of the square pyramid is 208 square inches.
What is Area?
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find the total surface area of the square pyramid in square inches.
We can write the total surface area of the square pyramid as -
A{total} = A{square} + 4 x A{Δ}
A{total} = (8 x 8) + (4 x 1/2 x 8 x 9)
A{total} = 64 + (16 x 9)
A{total} = 208 square inches
Therefore, the total surface area of the square pyramid is 208 square inches.
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On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?
Answers
Answer:
4,950
Step-by-step explanation:
4,500*.10=450
4,500+450=4,950
Hope this helps:)
What is the slope of the line that connects the points (0.5, 4.5) and (1.5, 2.5)?
Answers
Answer:
Slope is -2
Step-by-step explanation:
What is a numerical expression? Give an example.
Answers
Answer:
Step-by-step explanation:
The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.
If I have $25.2, would it be $25.02 or $25.20?
Answers
Answer:
You would have $25.20
if it was 25.02 the 0 would be included, money can be rounded like this too
Answer:
Yeah he/she is correct because I did that too.
Step-by-step explanation:
Plz plz, help I don't understand 24 points !!! Will mark brainiest for correct answers only quick!!!
Answers
There are 56 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital?
Answers
Answer:
56%8=7 so then u do this (3 is the ratio of men) 3X7=21 and thats how u do it :D
Step-by-step explanation:
uhh i don't have one lol
Find the missing side length will give crown
Answers
Answer: First of all, how much is it in all?
Step-by-step explanation:
Answer:
9 cm
Step-by-step explanation:
Call that length x.
We have: x + 5 = 14
=> x = 14 - 5 = 9 cm
Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are provided. Let represent the average of the trap spacing measurements for the population of red spiny lobster fishermen fishing in a particular region. The mean and standard deviation of the sample measurements were previously computed to be x=89.4, and s=11.4 meters respectively. Suppose the fishermen want to determine if the true value of differs from 95 meters
Answers
HELP WILL GIVE BRAINLY!
Answers
Answer:
The second one
Step-by-step explanation:
on the f axis you can see that f is greater than or equal to 1 and less than or equal to 5.
gradient of line 6x+2y+9=0
Answers
Answer:
gradient = - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c( m is the slope (gradient) and c the y- intercept )
Given
6x + 2y + 9 = 0 ( subtract 6x + 9 from both sides )
2y = - 6x - 9 ( divide the 3 terms by 2 )
y = - 3x - [tex]\frac{9}{2}[/tex] ← in slope- intercept form
with gradient m = - 3
New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1 in: 50 miles?
Answers
Answer: 4.1 inches
Step-by-step explanation:
From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.
The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.
Therefore, x:205 = 1:50
Cross multiply
x/205 = 1/50
50x = 205
x = 205/50
x = 4.1 inches
The answer is 4.1 inches
A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answers
Answer: She sold 6.6kg of pears in the market.
Step-by-step explanation:
Weight of apples and pears at the farmer's market.=8.8 kilograms
Weight of apples = 1/4
which is = 1/4 x 8.8kg = 2.2 kg
Weight of Pears =Weight of apples and pears - Weight of apples
= 8.8kg- 2.2kg
= 6.6kg
Is (9, 0) a solution to the equation y = 9? yes no
Answers
Answer:
I'm going to say no
Step-by-step explanation:
Because y in the pair y is zero not 9.
The street signs in a subdivision are in the shape of
circles. Each street sign has an area of 452.16 square
inches. What is the approximate circumference of each
sign? Use 3.14 for .
F 38
G 72
H 75
J 144
Answers
what is the answer to this problem if you need to find out the area?
Answers
Answer:
17.28in
Step-by-step explanation:
To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:
7.2*4.8=34.56
34.56/2=17.28
Carlos got 5/6 of the test questions correct. This was 15 questions. How
many questions were on the test?
Answers
Answer:
5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified
Step-by-step explanation:
FIND THE AREA
WORK PLEASEEE and thank you
Answers
Answer:
Some ways on how to solve the questions:
Use formulas as given by your teacher.
Application of the Pythagorean Theorem would be useful for 5 and 6.
For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)
For 11 and 12 draw it out.
You have two cans of paint, Can A and Can B. Can A contains 80% red paint and 20% blue. Can B contains half blue and half red. How much blue paint should be added to 3 liters of Can A to make it the same as Can B?
Answers
Answer:
0.9 liters.
Step-by-step explanation:
The difference between 20% of 3 and 50% of 3 is 30%. 30% of 3 liters is 0.9 liters so this is what you add to can A.
The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?
Answers
Answer:
The slope is 3.75 OR 3 3/4.
Step-by-step explanation:
So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING
y = 95 - 80
x = 10 - 6
Slope Formula: y/x
Substituted Slope Formula: (95 - 80)/(10 - 6)
Simplified Substituted Slope Formula: 15/4 OR 3.75
Hope this helps!!
Answer:
15/4
Step-by-step explanation:
I checked ;)
pls help this is due soon check 2 that apply
Answers
Answer:
I am pretty sure it is option a and c
Sorry if i am wrong
Allison sells apples at the market. On a given day, the ratio of red delicious to Macintoshes to granny smiths sold is 4:3:2. If her truck can carry 180 bushels of apples, how many bushels of granny smiths should she include? *
Answers
Answer:
40
Step-by-step explanation:
80+60+40=180
There is 20 more of each type of apple
A bag contains 5 red marbles, 6 blue marble, 3 green marbles, 4 black marbles, 2 yellow marbles. A marble will be drawn from a bag and replaced 200 times. What is a resonanle predition for each times a yellow or green marble will be drawn
Answers
Answer:
50 times
Step-by-step explanation:
Red = 5 ; blue = 6 ; green = 3 ; black = 4 ; yellow = 2
Total number of marbles :
(5 + 6 + 3 + 4 + 2) = 20
Probability of drawing a yellow or green marble :
P(yellow) + p(green)
(2 / 20) + (3 / 20)
5 / 20
Hence, Number of times from 200 draws :
(5 / 20) * 200
= 50
PLEASE SOLVE! Also how do you properly solve them ( please include steps)
Answers
-3 -3
2x =2
x=1
2) -x + 8 = 5
-8 -8
-x = -3
X=3
What is the degree of X4 - 3x + 2?
A. 3
B. 4
O o O o
C. 5
D. 2
SUBMIT
Answers
Answer:
the degree of the equation is 1
hey what's
[tex] \sqrt{9} [/tex]
Answers
Answer:
√9= either +3 or -3 when u have factorised
Answer:
\sqrt{9} = ±3
as, the value of the square root of 9 can be expressed as +3 and -3 or we can say the roots of 9 are +3 and -3. Number 9 is the perfect square as it fulfils the criteria .
ENGOY YOUR DAY
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