(05.01) A scale drawing of a kitchen is shown below. The scale is 1 : 20.
5 inches
4 inches
Show your work to determine the area of the room in square feet.
Answer:
500/9 or 55.56 ft²Step-by-step explanation:
Find the dimensions of the kitchen, convert to feet
5 in * 20 = 100 in = 100/12 ft = 25/3 ft4 in * 20 = 80 in = 80/12 ft = 20/3 ftThe area is
25/3 * 20/3 = 500/9 = 55.56 ft² (rounded)Answer:
5.56 ft² (nearest hundredth)
Step-by-step explanation:
Given:
width = 4 inlength = 5 inIf the scale is 1 : 20, then to scale up, multiply the width and length by 20:
⇒ width = 4 × 20 = 80 in
⇒ length = 5 × 20 = 100 in
Area = width × length
= 80 × 100
= 800 in²
1 ft = 12 in
⇒ 1 ft² = 12² in² = 144 in²
Therefore, to find the area of the room in square feet, divide the area in inches by 144:
⇒ area = 800 ÷ 144
= 5.56 ft² (nearest hundredth)
A company claims that its tablet computers have an average recharge time of 3 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours with a standard deviation of 0.3 hours.
Answer:
The correct answer is 1.65
Step-by-step explanation:
~Hope this helps! :)
f(x) = x^2 What is g(x)?
check the template in the picture below.
so the graph of f(x) is simply expanded horizontally, meaning the value A*B changed to something less than 1.
[tex]\begin{array}{|l|cc|ll} \cline{1-3} &x&y\\ \cline{2-3} f(x)=x^2&2&4\\[1em] g(x)=\frac{1}{2}x^2&2&2\\ \cline{1-3} \end{array}[/tex]
Domain and range for y=x^2+5x-6
Step-by-step explanation:
domain is all real numbers since its quadratic: (-infinity, infinity)
Range is from -6 to positive infinity or [-6, infinity)
The manager of a car dealership is offering a bonus to any salesperson who sells 2 cars today. Lately, Kim has been able to sell a car to 20% of the customers she greets. She wants to know the probability that she gets the bonus if she greets 7 customers today. To determine this, she uses a random number generator. The following table shows 50 sets of 7 digits. For each digit, Kim assigns the numbers 0 and 1 to selling a car and the numbers 2 through 9 to not selling a car.
The experimental probability of Kim getting the bonus if she greets 7 customers today is
_______.
Answer:
o.48
Step-by-step explanation:
To find the experimental probability of Kim getting the bonus, count the number of sets of digits that have at least two 0's or 1's.
Notice there are 24 sets of numbers that have at least two 0's or 1's. So, the experimental probability of Kim getting the bonus if she greets 7 customers today is or 0.48.
Write and solve an equation to find the value of x
Answer:
Equation: x+90=7x
Answer: x=15
Step-by-step explanation:
By looking at the image, I can tell that both of those angles are vertical.
Vertical angles mean that both of the angles would be equal. Therefore, we can set x+90 = 7x
You then subtract x from both sides, leaving us with 90 = 6x
From there, divide both sides by 6 to isolate 6 to 1, and you are left with 15= x or x=15, giving you your answer and equation.
The value of x is 15.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given that the two angle measures (x + 90)° and 7x°.
And both the angle measures are formed by opposite angles,
so,
x + 90 = 7x
Taking like terms to one side,
we get,
7x - x = 90
6x = 90
Divide by 6, and we get,
x = 90/6
x = 15
Therefore, x = 15°.
To learn more about the angle measure;
brainly.com/question/14684647
#SPJ7
Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop
Answer:
95,013
Step-by-step explanation:
If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!
this is for my geometry final please help me pass
Step-by-step explanation:
cos(x) = 5/13
the relation is
sin²(x) + cos²(x) = 1
so,
sin²(x) + (5/13)² = 1
sin²(x) + 25/169 = 169/169
sin²(x) = 144/169
sin(x) = 12/13
good luck !
Find the volumn of prism given figures
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of surface areas and volumes.
To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.
Here we divide it into two separate parts. so we get as,
after solving, we get total volume as 1140 cm^3
Joey worked 8 more hours than Chandler last week. Together, they worked a total of 59 hours. Which system of equations can be
used to determine the number of hours Joey worked, x, and the number of hours Chandler worked, y?
Answer:
x + y = 59
x = 8 + y
Step-by-step explanation:
Joey: x hours
Chandler: y hours
total hours is sum of both:
x+y = 59
Joey (x) worked 8 more hours than chandler (y)
x = 8 + y
If a circle has a circumference of 36pie cm, what is the area?
Answer:324pie cm^2
Step-by-step explanation:
Please helpppppppppp
Answer:
96 pizza slices
Step-by-step explanation:
Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.
Classify the triangle shown below. Check all that apply.
Answer:
A and B
Step-by-step explanation:
A. Since 2 angles are congruent you know that there has to be 2 equal sides
B. It has an obtuse angle which is 100 degrees.
C. Triangle has 2 congruent sides so this is incorrect
D. Not all sides are equal
E. Not all angles are acute
F. None of the angles are 90 degrees
Please help me with this problem
Answer:
-36
Step-by-step explanation:
6^2+(y-x)
=> 6^2+[-77 - (-5)]
=> 6^2+[-77+5]
=> 6^2+(-72)
=> 36+(-72) [6^2 = 36]
=> -36
can you mark me brainliest?
Hello-
6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.
x = -5
y = -77
Let's plug our given values into our equation for x and y. Like so-
6² + (y - x) becomes 6² + (-77 - (-5))
In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.
6² + -72
Now we do our exponents, or powers.
6² = 36
36 + -72
Now we do the easiest part - adding.
32 + -72 = -36
So the answer to this problem (if I've done my algebra correctly) is -36.
Hope this helps.
How to find the base of a triangle if your height is 6 inches.
Answer:
Triangle Area = 1/2 x Base Length x Height Example:
7x + 4 = 46 two step equation
7x + 4 = 46
7x = 46-4
7x = 42
x = 42/7
x = 6
THEREFORE, x = 6
HOPE IT HELPS :)
How do you find the volume of a cube?
Answer:
V = s³
Step-by-step explanation:
You multiply all sides together (L×W×H)
What is the product of 9 radical 5 and 5 radical 10 in simplest radical form?
Answer:
Step-by-step explanation:
(9√5) (5√10)
The leading interger product is found by multiplying 9 and 5
The leading integer product is 9*5 = 45
The radical product is (√5*10
Factor 10
radical product = √5*2*5
There are 2 fives underneath the radical. Take one out and ignore the other
radical product = 5√2
The 5 now multiplies by 45 and √2 becomes part of the answer
5*45√2
225√2
93 is 50% of what number?
Answer: the answer is 186
Step-by-step explanation:
Hope my answer helps you please mark me brainliestSelect an expression that is equivalent to 10n4. Mark all that apply. A. 10nn B. 10+ C. 10n?n? D. 5(2n") E. 10-10 F. 10(n x n x n x n)
Answer:
the answer is simple 4
Step-by-step explanation:
10n4 simple just like 10 to the 4th power
{3x+y=2
{6x +2y=4
i think it’s system of equations
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+y=2[/tex]
[tex]6x+2y=4[/tex]
[tex]6x+2(2-3x)=4[/tex]
[tex]6x+4-6x=4[/tex]
[tex]6x-6x=4-4[/tex]
[tex]0=0[/tex]
Since the two equations are the same, the system of equations has infinitely many solutions.
What is the numerator for the following
Answer:
Can you please check the photo I sent you it has the answer and step-by-step explanation
Step-by-step explanation:
The volume of a child’s model plane is 1200cm3. The volume of the full size plane is 4050m3. Find the scale of the model in the form 1:n.
the scale of the airplane is 1/3 the size of its counter part
Carol, an avid hiker, typically loses 2 pounds of weight during a 3-hour hike. She always brings a Camelbak hydration pack with her, drinking 50 ounces during her hikes. How much should Carol be drinking per hour to meet her total fluid needs
The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.
How many fluids should Carol drink hourly?Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.
Water to be drank per hour = total water drank / hours of hike
50 / 3 = 16.67 ounces
To learn more about division, please check: https://brainly.com/question/13281206
Could someone help me please.
Answer:
D
Step-by-step explanation:
The expression is equal to 1/300
D is the only other one equal to 1/300
Consider the figure below.
14
23
22.7
What is the perimeter of the figure?
Answer:
73.4
Step-by-step explanation:
The lengths of the tangent segments drawn from an external point to a circle are equal.
**Please refer to the attached annotated diagram - each pair of equal lengths is a different color**
Perimeter = (2 x 14) + (2 x 9) + (2 x 13.7)
= 28 + 18 + 27.4
= 73.4
What is an equation of the line with slope -4/5 and y-intercept 2?
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then
y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line
Find the surface area of the rectangular prism.
1 km
1 km
2 km
Answer:
km?
Submit Answer
attempt 2 out of 2
Answer:
5 km.
Step-by-step explanation:
Surface area is lw + hw + lh.
(1 x 1)+(1 x 2)+(1 x 2)
1 + 2 + 2
1 + 4
5 km.
Calculate the surface area. Be sure to show how the area of each face is calculated.
Answer:
Surface area of the cubiod is 186.34 cm²Step-by-step explanation:
Given:
Shape = cubiodLength of cubiod = 10cmWidth of cubiod = 4.1 cmHeight of cubiod = 3.7 cmTo Find:
Surface areaSolution:
We can find the total surface area of cubiod by summing up the area of the six faces of the cubiod:
Area of the top and bottom face = lw+ lw = 2lwArea of the front and back face = lh+ lh = 2lhArea of the two side faces = wh+ wh = 2whSurface Area = 2(lw+ wh + hl)
Substituting the required values:
➝ Surface Area = 2(10 × 4.1) + (4.1 × 3.7) + (3.7 × 10)
➝ Surface area= 2(41 + 15.17 + 37)
➝ Surface Area = 2(93.17)
➝ Surface Area = 186.34 cm²
Hence,
Surface area of the cubiod is 186.34 cm²Find the average rate of change from x = 1 to x=5
Answer:
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Step-by-step explanation: