Given:
A model of a famous statue is [tex]3\dfrac{1}{2}[/tex] inches tall. The actual statue is [tex]5\dfrac{1}{4}[/tex] feet tall.
To find:
The the ratio of the height of the model to the height of the actual statue in simplest form.
Solution:
We have,
Height of the model = [tex]3\dfrac{1}{2}[/tex] inches
Height of the actual statue = [tex]5\dfrac{1}{4}[/tex] feet.
Now, the ratio of the height of the model to the height of the actual statue is:
[tex]\text{Ratio}=\dfrac{\text{Height of model}}{\text{Height of actual statue}}[/tex]
[tex]\text{Ratio}=\dfrac{3\dfrac{1}{2}\ in.}{5\dfrac{1}{4}\ ft}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{3(2)+1}{2}\ in.}{\dfrac{5(4)+1}{4}\ ft}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\ ft}[/tex]
We know that 1 ft = 12 in.
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\times 12\ in.}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{21\times 3\ in.}[/tex]
[tex]\text{Ratio}=\dfrac{7}{2\times 21\times 3}[/tex]
[tex]\text{Ratio}=\dfrac{1}{2\times 3\times 3}[/tex]
[tex]\text{Ratio}=\dfrac{1}{18}[/tex]
Therefore, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]\dfrac{1}{18}[/tex].
Maximum and Minimum Values of General Quadratic Functions
1. By expressing y = 2x^2 + 4x + 17 in the form y = a(x + b)^2 + C, where a, b, and c are constants, state the minimum value of y and the value of x at which this occurs. Hence, sketch the curve y = 2x^2 + 4x + 17
x =
y =
Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
Identify the lines below
Answer:
the correct awnser is A
Step-by-step explanation:
.....
Answer:
parallel.
Step-by-step explanation:
I don't know how
The heights of 6 shrubs are 3. 4. 2.
8. 4. and 2 feet. Which value
represents an outlier?
A: 2. B:3. C:4. D:8
Answer:
I think its C.4
Step-by-step explanation:
Please help do it now
Answer:
option 3
Step-by-step explanation:
Δ AEB and Δ ADC are similar, so ratios of corresponding sides are equal, that is
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{AE}{AD}[/tex] , substitute values
[tex]\frac{9.2}{AC}[/tex] = [tex]\frac{9}{14}[/tex] ( cross- multiply )
9AC = 128.8 ( divide both sides by 9 )
AC ≈ 14.3 (to the nearest tenth )
Answer:
ikaw na gumawa kaya mona yan
What is the vertical asymptote
Answer:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. It will be the red ones
Step-by-step explanation:
(They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)
What is the unit rate of 45 points in 3 games?
Answer:
15 points per game
Step-by-step explanation:
The unit rate is the amount of points per game.
To find how many points are earned in 1 game, we divide 45 by 3
45/3=15
15 points per game
A rectangular prism has a volume of 210 cubic meters. The length of the prism is 7 meters and the width is 6 meters. (Please help I'm an idiot and I don't know how to do this
Step-by-step explanation:
so we need to find the height as volume=width×length×height
210=6×7×height
210=42×height
height=210/42=5 meters
please mark brainliest
Answer:The answer is 5 (im assuming you need to find height.)
Step-by-step explanation: The formula to find height v/lw so you multiply 7 times 6 and divide that by 210.
The diameter of a circl
10. d = 6.7 in.
What would you multiply by to find 28.3% of a number?
Answer:
0.283
Step-by-step explanation:
Answer:
100
Step-by-step explanation:28.3% times 100
NEED HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth
Х
4m
5m
Answer:
[tex] \boxed{x = 3}[/tex]
Step-by-step explanation:
[tex] {5}^{2} = {4}^{2} + {x}^{2} \\ {x}^{2} = {5}^{2} - {4}^{2} \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ x = 3[/tex]
Sister asked this: shes 10
whats 3/4 + 1/8
Answer:
1/2 or 1/3
Step-by-step explanation:
if you add them across you will get 4/12 which you would simplify and it will give you 1/3 but if you keep the bottem numbers as 8 then add 3 and 1 it will give you 4/8 simplify that's and it gives you 1/2
find the area of an equilateral triangle of side 12 cm
Step-by-step explanation:
root 3 by 4a²
root3/4*(12)²
36root3
Answer:
A≈62.35cm²
Step-by-step explanation:
A=3
4a2=3
4·122≈62.35383cm²
2) A group of students were surveyed about their opinions on Snowmobiles and
Skateboards. Some data is recorded below.
Likes
Skateboards
Do not like Skateboards
Likes
Snowmobiles
80
Do not like Snowmobiles
42
13
Q2.1) How many people would need to be in the like snowmobiles and do not like
skateboards" category to show no association between these two categories.
A2.1) Put how many people like snowmobiles and do not like skateboards here
Q2.2) Explain how you got your answer for question 2.1
AZ 2) Explain how you arrived at your answer using complete sentences and
be sure to include any calculation that you did
Answer:
so 109 people likes skateboard and 80 people like skateboard and 11 people dont
Step-by-step explanation:
80+11=122 122-13=109 so its 109
2 over 3 multiplied by 15
Answer:
The answer is 10.
Step-by-step explanation:
2/3 times 15 is the same as 2/3 of 15.
2/3 of 15 is 10.
So, the answer is 10.
2. Find the correlation coefficient AND best fit line, of the following data use the linear model
Commute Time
(in minutes)
х
Age of Vehicle
(in years)
Y
10
6
20
12
30
2
40
7
50
6
6
60
70
12
80
2
90
10
Stay in the to
Ans? u9999y
Step-by-step explanation:
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
What is 3(5)(5-2)+2
Answer:
47
Step-by-step explanation:
3 × 5 × (5-2) + 2
15 × (3) + 2
45 + 2
= 47
please help is it A, B , or C
Answer:
its a because 5 x 4 = 20, 5 x 6 = 30 and 5 x 9 = 45
Step-by-step explanation:
THE ANSWER IS A
hope it helps ;)
Find the quotient-3.6 ÷ .06
answer: 60
Source: calculator
I NEED HELP ASAPPPP
6.
Create an equation using Pythagorean Theorem for the diagram, then solve for the unknown
side. If necessary, round to two decimal places. Use proper rounding rules,
Equation (using the terms from the picture):
Then solve for x.
9
Sum of interior angle of a pentagon
Answer:
540
Step-by-step explanation:
(n-2) 180
(5 -2) 180
3 x 180
540
Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain
Answer: She has enough.
Step-by-step explanation:
You need to add up the quantities of water needed first. That will then tell if she has enough water.
Convert the fractions to decimals then add them up:
3/8 = 0.375
1/4 = 0.25
= 0.25 + 0.375
= 0.625 cups of water is required.
This is less than the 1 cup she has so she has enough water to make the snack.
a population of 100,000 decreases by 6% each year. write a graph to explain that
Answer:
Step-by-step explanation:
Your graph equation is going to be y = 100,000 - .06x
Solve the answer
6p - 1 - 4p = 15?
Answer:
it would equal 2p-1 as a mathematical equation
Step-by-step explanation:
Please help asap needed :)
Answer:
362.35N/m²
Step-by-step explanation:
Pressure = Force/Area
Area = πr²
Area = 3.14(0.75)²
Area = 3.14(0.5625)
Area = 1.76625m²
Force = 640N
Pressure = 640/1.76625
Pressure = 362.35N/m²
Question 1 (1 point)
What is the solution to the equation
below?
5 + 6x = 2x - 7
Answer:
x = negative 3
Step-by-step explanation:
i just know lol
Quadrilateral WXYZ has vertices W(–3, 4), X(–3, 1), Y(2, 1), and Z(2, 4). What are the coordinates of the image of point W after a reflection across the y-axis?
A. w-(3, 4)
B. w- ( 3 , - 4 )
C. w- ( - 3 , - 4 )
D. w- ( 4 , - 3 )
Answer: A
Step-by-step explanation:
When you reflect over the Y axis you do (-x,y)
And so (-3,4) = (3,4)
Write the function in vertex form.
y=x2 – 9x - 7
Gina has been offered a job as a dog walker. Each week Gina works, she gets a flat amount of $10, plus an additional $5 per dog walked. Gina's goal is to earn at least $75 each week. Which inequality can be used to find the number of dogs Gina must walk in a week in order to reach her goal?
Answer:
13
Step-by-step explanation:
Given data
flat amount =$10
let the number of dogs walked be x
and let the money earned be y
y= 10+5x
for y= 75
let us find x
75= 10+5x
75-10= 5x
65= 5x
divide both sides by 5
x= 65/5
x=13
Hence the number of dogs is 13
Someone help please and make sure the answer is right plz :)
f(x)=3x2+2x−3
g(x)=2x+4
Answer:
what are we supposed to find here ?