An artist made a 54-inch-tall statue of a former president. If the president was 6 feet tall, what scale did the artist use?
Answers
Answer:
[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]
Step-by-step explanation:
To get a scale of inches to feet, divide both 54 and 6 by 54:
[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]
Related Questions
Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?
Answers
Answer:
17/100×15.30=2.60
9/100×15.30=1.37
15.30-(1.37+2.60)=11.33
In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.
Answers
Answer:
29 feets 3 inches
Step-by-step explanation:
We need to obtain the actual height of oak tree :
Converting measurement to inches :.
1 Feet = 12 inches
Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in
Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in
Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in
Let actual tree height = TH
Using the relation :
SA / SS = TH / TS
70 / 90 = TH / 891
Cross multiply :
90 * TH = 891 * 70
TH = (891 * 70) / 90
TH = 693 inches
Height of house = 28ft 6 in = (28*12 + 6) = 342 in
Height difference :
(693 - 342) in = 351 inches
351 in / 12 = 29 feets 3 inches
Could someone please help me solve these?
Answers
They’re vertical angles (they’re opposite angles when 2 lines intersect). Since vertical angles are congruent, we can set up an equation to solve for the value of x.
If they’re both equal, we’ll say exactly that in our equation!
2x + 90 = 4x + 30
Combine like terms
2x = 60
Simplify
x = 30
Now, just plug in 30 for one of the x values in either of the equations
2(30) + 90 = 150
Angle = 150 °
Hope this helped!
round the whole number 21,908 to the nearest thousands place
Answers
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
In circle F with mEHG = 42, find the mEFG.
Answers
Answer:
∠EFG=2×∠EHG
∠EFG=2×42
∠EFG=84°
so,m∠EFG=84°
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hope it helps...
have a nice day!!
What is the length of DF?
Answers
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
Determine the surface area of the shape below.
Answers
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
Answer: 243.17
Hay 31 personas en un café.Si hay 5 hombres más que mujeres,¿Cuantos hombres y mujeres hay en el café?
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Answer: Hay 13 mujeres. (No hablo espanol.)
f(x) = 3x - 4
x is -2
Answers
Help Me please!!!!! Rn
Answers
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
help with the questions below!
Answers
Answer:
b
Step-by-step explanation:
evaluate 999^3 by using suitable identity
Answers
The answer is:
999^3 = 997002999
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answers
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
Is this a function?
{(2, 9),(5, 8),(19, 9)}
Answers
Answer:
Yes
Step-by-step explanation:
As long as no x values repeat it is considered a function
In the given set no x values repeat therefore it is a function
Answer:
Yes.
Step-by-step explanation:
Each input has exactly one output. Therefore, this is indeed a function.
The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.
Answers
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?
Answers
Answer:
Each shirt costs $18.50
Step-by-step explanation:
Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.
First, read the information carefully and then summarize what you are given in short sentences. Pat bought 6 shirts. He paid using a check and cash.
The total amount paid was $ 25 + $ 86 = $ 111
The shirts all cost the same price.
The cost of each shirt was: 111 ÷ 6 = $ 18.50
Answer:
Each shirt was 18.50
Step-by-step explanation:
The total cost of the 6 shirts was 25+86 = 111
Divide the total by 6 to find the cost of each shirt
111/6 =18.5
Each shirt was 18.50
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answers
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
1] Angelo used 425 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use? ***HINT: 1 meter = 100 centimeters*** *
Answers
Answer:
4.25 meters
Step-by-step explanation:
425/100 = 4.25
or move the decimal to the left 2 places. One place for each zero in 100.
What’s the least number of faces a polyhedron can have? And why?
Answers
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
What the measurements for b ? * just different problems*
Answers
Angle b = 47 degrees.
Hope this helps :)
Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair
There are 10 parts on the spinner 4 orange, 5 blue and 1 grey.
Answers
Answer:
no
Step-by-step explanation:
because it's unequal
What is the measure of ACB in O below?
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Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
What is the value of x, given that AE || BD?
Answers
Answer:
options number 1 is the answer
someone help me pleaseeeeee
Answers
Answer:
D
Step-by-step explanation:
All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.
Find x. Round to the nearest degree.
Answers
Answer: 56 degrees approximately
==========================================
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 15/10
tan(x) = 1.5
x = arctan(1.5)
x = 56.3099 approximately
x = 56 degrees
Note: arctan is the same as inverse tangent
Which graph represents the function p(x) = |x - 1|?
Answers
Step-by-step explanation:
Fourth graph represent the function p(x) = |x – 1|
Answer:
B
Step-by-step explanation:
Just did the unit test
1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?
Answers
a) f(x)= (3x-1)(x+2)
This is factoring. It helps you find the zeros if you set this equal to zero. You can clearly identify what the zeros are.
b) (3x-1)(x+2)=0
x=1/3, x=-2
Plug those back into the equation to see if they work. In this case they do so those are your answers.
I really need help with this problem
Answers
Answer:
Measure of angle K is 52.5 degrees
Step-by-step explanation:
Here, we have a case of two sides being congruent
mathematically when two sides are congruent, then we have an isosceles triangle
For an isosceles triangle, the base angles are equal
LM faces K , while M faces KL
What this mean is that L faces KM
From above, we can see that K = M = ?
Let us call this x
Mathematically, the sum of angles in a triangle is 180 degrees
75 + x + x = 180
2x = 180-75
2x = 105
x = 105/2
x = 52.5
A pack of six cans of coffee cost $12. How much would 15 cans of
coffee cost?
Answer $30
Bc 6can = $12
If 1can =2$
So 15 cans =30$
Answers
Answer:
$30
Step-by-step explanation:
$12/6=$2/can
$2/can x 15 cans=$30
Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)
Answers
Answer:
5x^2 - 3x -5
Step-by-step explanation:
You simplify the like terms
Remember to use distributive property to do the (7x-3x^2+5) part
