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
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Related Questions
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
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
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
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 ;)
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
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
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
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
#Captainpower
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:
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
Plz plz, help I don't understand 24 points !!! Will mark brainiest for correct answers only quick!!!
Answers
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
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
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.
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
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.
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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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
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:
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.
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.
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 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
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 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
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.
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
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