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].
Work out the size of angle x.
X
140°
105°
Answer:
- 65
Step-by-step explanation:
x + 140 + 105 = 180
x + 245 = 180
x = 180- 245 = - 65
The size of angle x is 25°.
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
As per the given data:
The two external angles are given in the diagram.
Assume angles as ∠1, ∠2 and ∠x in anti-clockwise order.
For finding the angles of the triangle:
∠1 + 105° = 180° {linear pair angles}
∠1 = 75°
∠2 + 140° = 180° {linear pair angles}
∠2 = 80°
Using angle-sum property of a triangle:
∠1 + ∠2 + ∠x = 180°
75° + 80° + ∠x = 180°
∠x = 25°
Hence, the size of angle x is 25°.
To learn more on Triangle, click:
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(The given question is incomplete, the complete question is given below)
of Composite Shapes P5
driguez
Figure 10: Find the area of this composite shape.
Find the area of this composite shape.
15 yd
4 yd
Subi
10 yd
6yd
Please help, past due.
Answer:
this figure is straight line angle is 180°.
angle rps+ angle qpr= angle qps
6x+11°+7x+143°=180°
13x+154°=180°
13x=180°-154°
13x=26
x=26/13
x=2
angle rps is 6x+11
6×2+11
23°
I NEED THIS DONE IN A FEW MINUTES
Write your own word problem that includes at least 2 operations
Write the expression for your word problem
Solve your expression showing all work
Answer:
1) Word Problem
Sally has $2 and her mother gave her $10 to buy something from the store. Sally spent $7 at the store. How much money does Sally have now?
Expression
(2 + 10) - 7
2) Word Problem
Bob has 5 friends and each of them gave Bob 2 cookies. Bob originally had 2 of his own cookies. After collecting all of the cookies Bob split them evenly among him and his friends. How many cookies does each person have?
Expression
(5 x 2 + 2) ÷ 6
Which equations are equivalent to -1/4(x)+3/4=12? Select all that apply.
(-4x/1)+3/4=12
-1(x/4)+3/4=12
-x+3/4=12
1/4(x+3)=12
(-x/4)+3/4=12
HELP
Answer:
B and E
Step-by-step explanation:
B,C,E
is the full answer
Solve for X
12x-4=10x-10+30
Answer:
x = 12
Step-by-step explanation:
12x - 4 = 10x - 10 + 30
12x - 4 = 10x + 20
12x - 10x = 20 + 4
2x = 24
x = 12
Insta: 25k_kemAnswer:
x=12
Step-by-step explanation:
Can y'all help me with this please.
Answer:
it is 5-2 square root 7
Step-by-step explanation:
y-(-3y) combine the like terms to create an equivalent expression
Answer: 4y
Step-by-step explanation:
Distribute the negative sign to get rid of the parentheses
y+3y = 4y
Write an equation for the green line, line g.
Answer:
x=-3
Step-by-step explanation:
Because its straight, on the x-axis, and on -3.
===========================================================
Explanation:
This green line goes through -3 on the x axis. Every point on this line has the same x coordinate and that x coordinate is x = -3. For instance, the two points (-3,5) and (-3,2) are on this green line. The equation of this line is x = -3 to indicate that x must be -3, but y can be anything you want. So that's why the y term doesn't even show up here. We cannot write the equation into slope intercept form. The slope of any vertical line is undefined.
Help help help help help
Please!!!!!
What times 7 will get me to 38?
Answer:
5.428571428571429
Step-by-step explanation: just do 38 divided by 7 on a calculator
Solve for c 4(3+c)+c=c+4
Answer:
c= -2
Step-by-step explanation:
John is a furniture maker. The graph shows the number of chairs John makes and the time it takes to make that many chairs. How many hours
will it take for John to make 30 chairs?
OA
between 1 and 2 hours
OB.
between 2 and 3 hours
OC. between 3 and 4 hours
OD
between 4 and 5 hours
Answer:
between for and five hours
Step-by-step explanation:
10 points please help !!
Answer: D
Step-by-step explanation:
The LCD for adding the fractions 1/5 + 1/10 is 10.
True
False
Answer:
true
Step-by-step explanation:
Answer: false
Step-by-step explanation:
look at the picture and yea I will give you a thank you 5 stars and brainiet
Answer:
its answer 3
Step-by-step explanation:
If something travels 4 meters in one second, what is its speed?
Answer:
1.8 speed
Step-by-step explanation:
Answer:
4 m/s
Step-by-step explanation:
speed = distance/ time
speed = 4/1
speed = 4m/s
PLease answer this question
Answer:
b- 43%
Step-by-step explanation:
being technical its 42.857142857143% but assuming its round up it would be 43%
Answer:
c. 30%Step-by-step explanation:
Number of the trees:
12 + 28 = 40Number of infected is 12, so the percent of infected is:
12/40*100% = 30%Please help and please I need help:)
Answer:
16 eighteenths
Step-by-step explanation:
Answer:
16 eighteens fit into [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
in order to find out how much eighteenths are the in [tex]\frac{8}{9}[/tex]. we just have to divide [tex]\frac{8}{9}[/tex] by [tex]\frac{1}{18}[/tex]. So we get...
[tex](\frac{8}{9}) /(\frac{1}{18}) = (\frac{8}{9})(18) = \frac{144}{9} = 16[/tex]
How many 1/2 inch cubes does it take to fill a box with a width of 3 1/2 inches, length of 2 inches and height of 5 1/2 inches?
Answer:
Step-by-step explanation:
Remark
I'm going to assume that the edges of the cubes are 1/2 inch on each side.
V = 1/2 * 1/2 * 1/2 = 1/8 cubic inches.
Volume of the box
V = L * w * h
Givens
L = 2 inches
w = 3.5 inches
h = 5.5 inches
Solution
V = L * w * h
V = 2 * 3.5 * 5.5
V = 38.5
1/8 has the decimal equivalent value of 0.125
Number of cubes needed = Volume of the box / volume of the cube
Number of cubes needed = 38.5 / 0.125
Number of cubes needed = 308
who ever answeres this question first gets brainly
Split £99 in the ratio 1:8
Answer:
Step-by-step explanation:
https://math.icalculator.info/ratio-divider-calculator.html
mmmmmm u should help -9/14+ 2/7
Answer:
0.9285714285714 is the answer.....
Which would be the correct answer?
Answer:
the third answer
Step-by-step explanation:
hope it helps
Please help.
Algebra.
Answer:
r= -3
Step-by-step explanation:
Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of the line from where Corey began walking to where he finished?
-3
-2
2
3
Answer:
The slope is 2
Step-by-step explanation:
We are going to call (0,0) the point where Corey began walking. If he walked three blocks east he would be at the point (3,0), once there he walks 6 blocks north and make it to the point (3,6)
The slope m of the line that passes through point (0,0) and (3,6) is
Answer:
2
Step-by-step explanation:
give the other dude brainliest
3^-7
Simplify please.
Answer:
0.000457 what I got
Step-by-step explanation:
If I have 6 pencils and my friend has 7 apples how many pancakes can fit on the roof.
a. purple because pancakes are purple
b. Yellow because aliens don't wear hats
c. the square root of the sun
d. pencil
Answer:
red
Step-by-step explanation:
Answer:
e
Step-by-step explanation:
depending on how big your roof is, and how high you can stack the pancakes, and the number of non hat wearing aliens that are eating the pancakes, it all really depends. but if thats wrong the answers pencil
What is the value of the expression below when x=3?
4x + 1
Answer:
13
Step-by-step explanation:
plug in 3 for x
4(3)+1 = 13
Answer:
15x
Step-by-step explanation:
jeat is growing carrots
Please post full question