An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 6 3/4" by 4 1/2" on the drawing, how large is the bedroom?A. 9 ft by 13.5 ftB. 18 ft by 9 ftC. 18 ft by 27 ftD. 72 in. by 108 in
Answers
Given a bedroom of the measurement on a scale drawing as
\(6\frac{3}{4}^{\doubleprime}\text{ by 4}\frac{1}{2}^{\doubleprime}\)On an architectural drawing, the scale is
\(\frac{1}{4}^{\doubleprime}=1^{\prime}\)Converting the measurements of the bedroom into inches,
Where,
\(1^{\prime}=12^{\doubleprime}=1ft\)\(\begin{gathered} 6\frac{3}{4}^{\doubleprime}=\frac{27}{4}^{\doubleprime} \\ 4\frac{1}{2}^{\doubleprime}=\frac{9}{2}^{\doubleprime} \end{gathered}\)The measurement of the room will be,
\(\begin{gathered} \frac{1}{4}^{\doubleprime}=1^{\prime}\text{ (on the scale drawing)} \\ \frac{27}{4}^{\doubleprime}=\frac{27}{4}\times\frac{1}{\frac{1}{4}}=\frac{27}{4}\times\frac{4}{1}=27^{\prime\text{ }}(i.e\text{ 27ft)} \\ \frac{9}{2}^{\doubleprime}=\frac{9}{2}\times\frac{1}{\frac{1}{4}}=\frac{9}{2}\times\frac{4}{1}=18^{\prime\text{ }}(i.e\text{ 18ft)} \end{gathered}\)Recall that,
\(1^{\prime}=1ft\)Hence, the answer is option C (18ft by 27ft)
Related Questions
Amir is making flags, he sews 19 stars and 31 hearts on each flag. He has 589 stars and 899 hearts. How many flags can he complete?
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f(x)
g(x)
=∣x∣
=∣x+9∣−5
We can think of
�
gg as a translated (shifted) version of
�
ff.
Complete the description of the transformation.
Use nonnegative numbers.
To get the function
�
gg, shift
�
ff
by
units and to the
by
units.
Answers
The function g( x ) is translated to the left by 9 units and down by 5 units.
Given data ,
Let the first function be represented as f ( x )
where the value of f ( x ) = | x |
Let the translated function be g ( x )
where the value of g ( x ) = | x + 9 | - 5
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
On translating to the left , f ( x + a )
So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |
Now , when the function is translated 5 units down , f ( x ) - 5
So , the translated function is g ( x ) = | x + 9 | - 5
Hence , the function is translated to the left by 9 and up by 5 units.
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Michaela’s favorite fruit to snack on is the “cotton candy grape.” She has $20 to spend on a gallon of cider that costs $3.50 and can spend the rest of her money on cotton candy grapes. The grapes cost $3.75 per pound. How many pounds of grapes can Michaela buy without spending more than the rest of the money after buying the cider?
Answers
Answer:
So, to answer this problem, we first have to get rid of the cider cost.
$20-$3.50=$16.50
Since we have $16.50 left, now we have to see how much cotton candy grapes Michaela can buy.
1 pound- $3.75
2 pound- $7.50
3 pound- $11.25
4 pound- $15
5 pound- $18.75
When Michaela buys 5 pounds of grapes, she gets a cost of $18.75.
Since $18.75 is $2.25 more than $16.50, the only option she can choose is 4 pounds.
When Michaela buys 4 pounds, she will spend $15 and she will still have $1.50 left. (If there is no tax.)
In summary, Micheala can buy 4 pounds of grapes without spending more than the rest of the money after buying cider.
(By the way, I LOVE cotton candy grapes.)
Hope this helps!
:)
Find the missing side x=
Answers
The cost for each person to eat for one week is $100. Find the total
cost for a family of five to eat for one week.
Answers
Answer:
500
Step-by-step explanation:
easy 5 x 100 =500 and 5 family members = 100 each so for one weak of each family member will be 500
ALGEBRA please put a very small explanation to the awnser
Answers
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Which expression is equivalent to 24x+12? choose all the correct answers.
A. 2(12x+6)
B. -6(-4x-2)
C. -3(8x-4)
D. -4((-6-3x)
Answers
Answer:
Step-by-step explanation:
option B .
A. Correct. They factored out 2.
B. Correct. They factored out -6.
C. Incorrect. The leading coefficients don't match.
D. Incorrect. The leading coefficients don't match.
you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost
Answers
Answer:
y = 25x + 200
Step-by-step explanation:
y = the total cost of the party
x = the number of guests
75/3 = 25
25 is the cost per guest.
Helping in the name of Jesus.
WILL GIVE BRAINLIEST!!
If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
Answers
Answer:
\(\huge\boxed{\sf Area = 12.8 cm\²}\)
Step-by-step explanation:
Let,
The length of rectangle = x
The width of rectangle = y
The length of square = x - 4
The width of square = y + 5
Area of rectangle = xy
Area of square = xy + 40
Condition No. 1:
Area of Square = Length of square * Width of square
xy + 40 = (x - 4)(y - 5)
xy + 40 = xy - 5x - 4y + 20
- 5x - 4y = 40 - 20
- 5x - 4y = 20
5x + 4y = -20 ------------------(1)
Condition No. 2:
We know that:
Length of square = Width of square
x - 4 = y + 5
Add 4 to both sides
x = y + 5 + 4
x = y + 9 ---------------------------(2)
Solution:
Put Eq. (2) in (1)
5 (y + 9) + 4y = -20
5y + 45 + 4y = -20
9y + 45 = -20
9y = -20-45
y = -65 / 9
Now, Put the value of y in Eq. (2)
x = (-65 / 9) + 9
x = (-65 + 81) / 9
x = 16 / 9 cm
Now,
Area of rectangle = xy
Area = ( -65 / 9 ) * ( 16 / 9 )
Area = (-65*16) / (9*9)
Area = -1040/81
Area = 12.8 cm² (Neglecting -ve sign)
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer:
360
Step-by-step explanation:
360m^2
Two out of three balls in a Multi-colored package are pink. How many balls in a package of 21 will be pink?
_____________ Pink Balls
Answers
Answer:
14 pink balls
Step-by-step explanation:
you would devide 21 by 3 and that would be 7, then you multiply by 2 and you get 14.
Arrange the steps in order to simplify the expression
Answers
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
A 55-inch is cut into two pieces. One piece is 4 times the length of the other. Find the length of the shorter piece.
Answers
The shorter section is x inches length, or 44.
What constitutes a length?
A line segment can be drawn on paper and has a set length. the measurement of the separation between the longest or longer side of an object's ends. 2: an exact distance The three miles of the road. 3: How much time something requires The movie lasts for two hours. 4: a lengthy fragment of something She purchased a length of pipe in
accordance with the instruction;
the shorter portion should be x.
It is 4x because the longer portion is 4 times as long as the other.
4x + x = 55
5x = 55
4x = 44
x = 11
The length of the shorter piece is x, which is 44
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Order the mass measurements in order from least to greatest.
3.2 kilograms, 3.2 centimeters, 3.2 decimeters
Answers
El resultado de la operación X= 2/3+4/5+6/7+1/9
Answers
Hola!
2/3 + 4/5 + 6/7 + 1/9
= 6/9 + 4/5 + 6/7 + 1/9
= 7/9 + 4/5 + 6/7
= 7/9 + 28/35 + 30/35
= 7/9 + 58/35
= 245/315 + 522/315
= 767/315
2 + 2. what is the sum
Answers
Answer: 4
Step-by-step explanation:
Answer:4
2+2=4 if I have two apples and pick up two more I now have 4 total
Solve this problem using the Pythagorean Theorem. An extension ladder with 3 five-foot extensions is leaned against a wall with the base of the ladder 5 feet from the base of the wall. How high on the wall does the top of the ladder sit?
Answers
Given :-
An extension ladder with 3 five-foot extensions is leaned against a wall with the base of the ladder 5 feet from the base of the wall.To find :-
How high on the wall does the top of the ladder sit?Solution :-
Using Pythagoras Theorem ,
5² = 3² + h²25 = 9 + h ²h² = 25 - 9h ²= 16 h =√16 h = ±4 h = 4The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Find an expression for the area of the tiled floor.
Answers
The expression that can be used to find the area of the tiled floor is 4w² + 200w
Area of rectangleOriginal rectangle:Length = 70 Meters
Width = 30 meters
Area = length × width
= 70 × 30
= 2100
New rectangle(including tiled floor):Length = 70 + 2w meters
Width = 30 + 2w meters
Area = length × width
= (70+2w) (30+2w)
= 2100 + 140w + 60w + 4w²
= 4w² + 200w + 2100
Area of the tiled floor = Area of new rectangle - area of old rectangle
= (4w² + 200w + 2100) - 2100
= 4w² + 200w + 2100 - 2100
= 4w² + 200w
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What scientific notation is this
Answers
Answer:
1= 10000
2= 10⁴
Step-by-step explanation:
1= 10000
2= 10⁴
Answer: 10^5
2.56 x 10^5 = 256000
Step-by-step explanation:
rename 2 6/12 as a mixed number with a fraction greater than 1.
Answers
What is the volume of this
rectangular pyramid?
6 ft
8.4 ft
8.6 ft
Answers
The volume of the rectangular pyramid is 144.48 cubic feet.
What is a rectangular pyramid?A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.
The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.
The volume of a rectangular pyramid is given as:
\(\sf V = \dfrac{(l)(b)(h) }{3}\)
\(\sf V = \dfrac{(8.4)(8.6)(6) }{3}\)
\(\sf V = \dfrac{433.44 }{3}\)
\(\sf V = 144.48 \ cubic \ feet\).
Hence, the volume of the rectangular pyramid is 144.48 cubic feet.
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3v + 7v + 9v =3 v+7 v+9 v=
Answers
Answer:
I cant help you
Step-bBecause i just c
y-step explanation:
2(a + 5) – 4 = 2.a +2.5 –4 +
distributive property
distributive property
commutative property
associative property
Answers
Answer:
distributive property
Step-by-step explanation:
2(a+5)
2 is being distributed
what is the formula for the z statistic? (recall that m is the same as x-bar) (and that sem is the same things as sigma with a m subscript)
Answers
The formula for the z-statistic is (x - μ) / (σm) or (x - μ) / (s/√n) depending on known or unknown population standard deviation.
The formula for the z-statistic, which is used in hypothesis testing for a sample mean when the population standard deviation is known, is:
z = (x - μ) / (σm)
where x is the sample mean, μ is the population mean, and σm is the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean.
Alternatively, we can use the estimated standard error of the mean (s/√n) when the population standard deviation is unknown, and the formula for the z-statistic becomes:
z = (x - μ) / (s/√n)
where s is the sample standard deviation and n is the sample size.
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The radius of a circle is 17 centimeters. What is the circle's circumference?
Answers
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
which expression is equivalent to x-5/3? 1/5√3^3 1/3√x^5 -3√x^5 -5√x^3
Answers
Answer:
What grade is this 12th?
Step-by-step explanation:
The equivalent expression for the expression given; (( 5/7 )² × (1/3)-³)-¹ is; (7/5)² • (1/3)³.
What is the equivalent expression for the given expression?It follows from the task content that the expression which is equivalent to that which is given is to be determined.
here, we have,
Hence, since the given expression is; (( 5/7 )² × (1/3)-³)-¹;
It follows from the power of powers law of indices that we have;
( 5/7 )-² • (1/3)³
Also, according to the negative exponent law of indices; we have;
(7/5)² • (1/3)³.
On this note, the required equivalent expression is; (7/5)² • (1/3)³.
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What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
Answers
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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if m(x)= sin²(x), then m'(x)=? A. cos²x+sin²x. B.sinx²-cos²x C. 2cos²x-sinx D. cos²-sin²x
Answers
```
m'(x) = d/dx(sin²(x))
= 2sin(x)*cos(x) (using the chain rule and the derivative of sin(x))
= sin(x)*2cos(x)
= 2cos(x)*sin(x)
```
Therefore, the answer is `m'(x) = 2cos(x)*sin(x)`, which is equivalent to option D, `cos²(x) - sin²(x)`.
2
x−1+2cosx=1(∵cos2x=2cos
2
x−1)
⇒2cos
2
x+2cosx−2=0
⇒cos
2
x+cosx=1.....(1)
⇒1−cos
2
x=cosx
⇒sin
2
x=cosx.....(2)
do anybody know how to help me cause i really need it right now.
Answers
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The surface area is made up of four triangles and a square base, so the area is four times the area of the triangle plus the area of the base.
A=4(5)(6)/2+5(5)
A=60+25
A=85
Which expression is a factor of the functions equation ?
Answers
According to the question A. X-4 is a factor of the function's equation.
What is function?In programming, a function is a set of instructions that performs a specific task. It takes input, performs a set of operations, and returns an output. Functions are essential components of programming languages, allowing developers to create more complex code and to repeat tasks without having to write the same code over and over again. Functions allow for better organization and readability of code, resulting in more efficient and reliable programs. They also enable developers to reuse code, which reduces development time and helps to avoid errors.
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Complete Question:
Which expression is a factor of the function's equation?
А. X-4
B. X+4
C. 0
D. x
what is the volume of this container 1ft 1ft 2ft
Answers
Answer:
Remember length times width times height when finding volume.
In non-terms of pi, the answer would be \(2\) \(ft^2\)
Answer:
Volume is 2ft
Step-by-step explanation:
Multiply the length x width once you find the answer for lengthxwidth.
Multiply the answer you got by height