Step-by-step explanation:
The area of the floor of the scale drawing and the scale factor are 72 in² and 1/4 respectively
Actual Length = 36 feets
Actual width = 32 feets
Model width = 9 inches
The scale factor = 9 / 36 = 1/4
The length of the model canbe calculated thus :
Actual Length × scale factor
Model width = 32 × 1/4 = 8 inches
The Area of a rectangle can be calculated using the relation :
Area = Length × width
Area of floor = 8 inches × 9 inches = 72 inch²
Therefore, the area of the floor of the scale drawing is 72 in²
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The area of the rectangular floor in the scale drawing is A = 156 inches²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular floor in the scale drawing be A
Let the length of the rectangular floor be L = 26 feet
Now , the length of the rectangular floor in scale drawing = 13 inches = L/2
And , the width of the rectangular floor be W = 24 feet
So , the width of the rectangular floor in scale drawing = W/2 = 12 inches
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
The area of the rectangular floor in the scale drawing A = 13 x 12
The area of the rectangular floor in the scale drawing A = 156 inches²
Hence , the area of rectangle is 156 inches²
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19 cm 15 cm triangle and I don’t know the other side
Answer:
well it looks equal to 15 cm so its probably 15 cm
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Analyze the following table of values.
y=1/2x
y=1/2^x2+4
y=4^x2+1/2
y=4(1/2)x
The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]
How to analyze the table of values?The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
[tex]y = ab^x[/tex]
When x = 0 and y = 4, we have
[tex]ab^0 = 4[/tex]
Evaluate
a = 4
When x = 1 and y = 2, we have
[tex]ab^1 = 2[/tex]
Evaluate
[tex]ab = 2[/tex]
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]
[tex]y = 4(1/2)^x[/tex]
Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]
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Use the FOIL Method to simplify completely:
(3p+2)(5p - 7)
8p² + 11p - 14
O 15p² + 11p + 14
○15p² – 11p – 14
O 8p² + 11p - 14
Answer:
15p^2 - 11p - 14 (thus answer three is correct)
Step-by-step explanation:
I uploaded an image of how this question is completed for an extended visual. Your welcome and have a great day :))))
which two expressions are equivalent?
a) x+x+x and x³
b) 14x + 10 - 2x and 16x + 10
c) 12x + 16x and 4(3x+4x)
d) 12x² + 5x + 10 and 17x² + 10
NO SPAM ANSWERS.
Answer:
c
Step-by-step explanation:
(4×3x)+(4×4x)=
12x+16x
Write an equation in slope-intercept form for the line with slope 1/5 and y-intercept - 2. Then graph the line.
Answer:
Slope intercept form: y = 1/5x -2
Step-by-step explanation:
Here is an inequality: -2x > 10.
list 3 values for x that would make this inequality true.
1) x=
2) x=
3) x=
Answer:
x=-10 x=-11 x=-12
Step-by-step explanation:
-10*-2=20 since -10*2=-20 and a negative number multiplied by a negative number is positive. 20>10 is true. -11*-2 is equal to 22, 22>10, -12*-2=24, 24>10.
7) Find the number of rotations
needed for this wheel to travel 100
feet if the radius of the wheel is 1
foot?
IL
Answer:
16 full rotations
Step-by-step explanation:
If the radius is 1 foot, cirumference is what we need to get in order to figure out how many rotations are necessary.
Circumference = 2 pi r
[tex]2 * \pi * r = 6.28\\100 / 6.28 = 15.92[/tex]
equation that equal 15
Answer:
15x=225
Step-by-step explanation:
15x=225
x=15
10 + 5 = 15.
14 + 1 = 15
13 + 2 = 15
those are what ik but guy above is more accurate lol
A letter of the English alphabet is followed by a digit from 0 to 9.
How many different outcomes are in each sample space?
Answer:
260
Step-by-step explanation:
26 letters * 10 digits
bc each letter could be followed by 10 different digits
The question is in the screenshot below.
Answer:
2 19/24
Step-by-step explanation:
Simplify it in whatever whey they ask you to for the answer
Answer:
37/12
Step-by-step explanation:
[tex] \frac{2}{3} \div 2 + ( \frac{3}{4} + \frac{1}{6} ) \div \frac{1}{3 } \\ \frac{2}{3} \div 2 \div \frac{9+ 2}{12} \div \frac{1}{3 } \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{1}{3} +\frac{11}{4} \\ \frac{37}{12} [/tex]
1. Which is the best method for solving the quadratic equation? Explain why using a sentence. Then solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.
Try to only choose each method once, but you may use a method twice.
• Take the square root of each side.
• Factor and use the zero-product property.
• Complete the square.
• Use the quadratic formula.
A. 2a2 = 72
B. x2 -10x +16= 0
C. y2 + 6y = 2
Answer:
Below.
Step-by-step explanation:
A. Take the square root of each side.
2a^2 = 72
a^2 = 36
a = -6, 6.
B. Factor and use the zero-product property
(x - 2)(x - 8) = 0
x = 2, 8.
C. Complete the square.
y^2 + 6y = 2
(y + 3)^2 - 3^2 = 2
(y + 3)^2 = 2 + 9 = 11
Taking square roots:
y + 3 = +/- √11
y = -3 + √11, -3 - √11
if you put one penny in a room at 12:00 every minute that penny doubles, in 1 hour at 1:00 the room is full. at what time was the room halfway full?
Answer: It would be 1 min since it doubles every minute. Similarly, it'll be half full the minute before its full is 59.
Step-by-step explanation:
Algebra 2!! Which graph represents the following piecewise defined function?
-2x, x <-1
f(x) = -1,-1
x-1, x>2
The graph that defines the following piece-wise function is given by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].What is a piece-wise function?It is a function that has different definitions based on the input.
In this problem, for x less than -1, the function is a line going through points (-1,2) and (-2,4), hence the slope is:
m = 4 - 2/(-2 - (-1)) = -2.
The slope of -2 means that it also passes through (0,0), hence the function is:
y = -2x.
For x between -1(inclusive) and 2(exclusive), it is a constant function at y = -1.
For x equal or greater than 2, the function is a line going through points (2,1) and (4,3), hence the slope is:
m = (3 - 1)/(4 - 2) = 1.
The slope of 1 means that the function passes through (0,-1), hence the function is:
y = x - 1.
Hence the piece-wise function is defined by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].More can be learned about piece-wise functions at https://brainly.com/question/24734454
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Answer:
A
Step-by-step explanation:
if 5% of an item is .50 cents what is original price
Answer:
$10.00
Step-by-step explanation:
5 % of 100 is 55 × 20 = 100so just multiply .50 by 20 and that comes out to 10 dollarsWrite the power 4⁴ in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.
How to Write a Number in Repeated Multiplication Form?To wrote a number in repeated multiplication form, write the base number multiplied as many times as the stated exponents.
Given the number, 4⁴, we have:
4 × 4 × 4 × 4 = 256.
The value of the power of 4⁴ is: 256.
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Answer:
Step-by-step explanation:
4 x 4 x 4 x 4 = 16 x 16 = 256 is the value
4^4 is the power
A bag has 5 red and 8 blue marbles. What is the probability of drawing a red then blue, if the first marble has not been replaced after it has been drawn?
Answer:
5/13
Step-by-step explanation:
5+8=13
Red = 5/13
Blue = 8/13
Help me out yall PLEASE
i dont understand this at all, please dont give me an answer i just need someone to explain it to me if so, thank you <3
Answer: Multiply the diameter by Pi, which in school lessons usually just use 3.14
Step-by-step explanation:
So 3.14 multiplied by the diameter of 9.
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A diagonal of a cube measures 15 cm and the length of an edge of the cube is V75 cm.
What is the length of the diagonal of a face of the cube? Round to the nearest tenth.
Answer:
the diagonal of a face of the cube = 12.2 (Rounded to the nearest tenth)
Step-by-step explanation:
[tex]\text{diagonal of the cube} =\ \left( \text{edge} \right) \times \sqrt{3}[/tex]
[tex]=\sqrt{75} \times \sqrt{3}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=15[/tex]
[tex]\text{diagonal of the face} =\left( \text{edge} \right) \times \sqrt{2}[/tex]
[tex]=\sqrt{75} \times \sqrt{2} \\\\=\sqrt{150} \\\\=12.247448713916[/tex]
A box is in the shape of a rectangular prism. kristi is trying to ship boxes of her homemade granola trail mix. the box she is using to ship has the dimensions of 18in by 24in by 12in. each trail mix box has dimensions of 4in by 3in by 3in. how many trail mix boxes will fit into the box to be shipped? explain how you got your answer.
The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.
Volume of a rectangular prism
The volume of a rectangular prism is represented as follows;
volume of rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
volume of the box = 18 × 24 × 12 = 5184 inches³
Therefore, the volume of each trail mix box is as follows:
volume = 4 × 3 × 3 = 36 inches³
Therefore,
number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144
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Answer:
144 (100% correct)
Step-by-step explanation:
To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.
First, let's calculate the volume of the shipping box (rectangular prism):
Volume of the shipping box = length * width * height
Volume of the shipping box = 18 in * 24 in * 12 in
Volume of the shipping box = 5184 cubic inches
Next, let's calculate the volume of each trail mix box (rectangular prism):
Volume of each trail mix box = length * width * height
Volume of each trail mix box = 4 in * 3 in * 3 in
Volume of each trail mix box = 36 cubic inches
Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:
Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box
Number of trail mix boxes = 5184 cubic inches / 36 cubic inches
Number of trail mix boxes = 144
Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)
A 20 foot ladder is leaning against the side of a building. If the bottom of the ladder is 12 feet away from the base of the building, how far up the side of the building does the ladder reach? Draw a picture and show your work. (2 points)
Answer:
The ladder reaches is 16 feet far up the side of the building
picture below
Step-by-step explanation:
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What is the area of this figure?
Enter your answer in the box
Answer:
The area of that figure is 16
Step-by-step explanation:
tell me if im wrong
How many radians is each angle of an equilateral triangle?
Answer:
[tex]\displaystyle \frac{\pi}{3}[/tex] radians
Step-by-step explanation:
As an equilateral triangle has all angles congruent to each other, each angle is measured 60°
To convert from degrees to radians, we multiply by π/180
Hence, [tex]\displaystyle 60^\circ*\frac{\pi}{180}=\frac{60\pi}{180}=\frac{\pi}{3}[/tex]
98% of 50 is what number
1. We assume, that the number 50 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 50 is 100%, so we can write it down as 50=100%.
4. We know, that x is 98% of the output value, so we can write it down as x=98%.
5. Now we have two simple equations:
1) 50=100%
2) x=98%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
50/x=100%/98%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 98% of 50
50/x=100/98
(50/x)*x=(100/98)*x - we multiply both sides of the equation by x
50=1.02040816327*x - we divide both sides of the equation by (1.02040816327) to get x
50/1.02040816327=x
49=x
x=49
now we have:
98% of 50 = 49Answer:
49
Step-by-step explanation:
It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you
2.8 meters less 2.5 meters equals how many centimeters
Answer: 30 centimeters
Step-by-step explanation:
We will subtract and then convert units.
2.8 meters less 2.5 meters = 2.8 meters - 2.5 meters = 0.3 meters
0.3 meters * 100 = 30 centimeters
If this problem is not asking for 2.8 meters minus 2.5 meters - and is stating something else - please comment so I can fix my answer.
-4(8r+3) pls answer
[tex] - 4(8r + 3)[/tex]
solution:[tex] - 4(8r + 3)[/tex]
[tex] = - 32r - 12[/tex]
answer to your question is -32r-12
hope this will help you
How many roots does the function have?
f (x) = x^6+ 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x + 7
2
6
21
7
Answer:
21
Step-by-step explanation:
6+5+4+3+2+1=21 and there you g9
B. Solve the inequalities. Show your work as it is done in the examples. (Hint: One answer will be "no solution" and one answer will be "all real numbers".) See Exs. 3 thru 12.
4. |x| > -11
If a parallelogram has congruent
diagonals, then it is a rectangle.
Choose the equivalent statement.
A. Ifa parallelogram is not a rectangle, then it does not have
congruent diagonals.
B. If parallelogram does not have congruent diagonals, then it is a
rectangle.
C. If a parallelogram is a rectangle, then it does not have congruent
diagonals.
Answer: A
Step-by-step explanation:
The contrapositive of a statement is logically equivalent to the original statement.
As the degrees of freedom increase, the t distribution approaches the _____ distribution.
Using statistical concepts, it is found that as the degrees of freedom increase, the t distribution approaches the z-distribution.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.For large sample sizes, that is, a large number of degrees of freedom in the t-distribution, the t distribution approaches the z-distribution.
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