Answer:
540 feet
Step-by-step explanation:
[tex]\frac{36}{100} = \frac{x}{1500}[/tex] Cross multipy
100x = 54000
54000/100 = 540
x = 540
A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.
Answer:
2 x 2 x 2.38
2 x 2.1 x 2.26
6 x .31 x 5.118
The area of a circle is 25p ft 2 . What is the circumference of the circle? Explain.
Answer:
Circumference of circle = 31.42 ft.
Step-by-step explanation:
Given the following data;
Area of circle = 25π ft²
To find the circumference of the circle;
First of all, we would determine the value of its radius;
Area of circle =πr²
25π = πr²
r² = 25
Taking the square root of both sides, we have;
r = 5 ft.
Now, to find its circumference;
Circumference of circle = 2πr
Circumference of circle = 2π*5
Circumference of circle = 10π ft.
π = 3.142
10π = 10 * 3.142 = 31.42
Circumference of circle = 31.42 ft.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution
The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?"It is a triangle having one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."
For given question,
We need to write a function that models the relationships among x, y, and r.
Consider a right triangle ABC.
where AB = x, BC = y and hypotenuse AC = r
Using Pythagoras theorem,
[tex]x^{2} + y^{2} =r^{2}[/tex]
above function defines the relationships among x, y, and r.
Now we solve above equation for 'r',
[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]
Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
Learn more about function here:
https://brainly.com/question/12431044
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Answer:
Look below!
Step-by-step explanation:
1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)
150 feet.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)
Pythagorean theorem—>a^2+b^2=c^2
a and b are the legs, while c is the hypotenuse.
x^2+y^2=r^2
Take the root of both sides
r=√x^2+y^2
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answer:
Right square pyramid
Volume:
V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³Surface area:
A = a² + 2al = 3² + 2*3*4 = 33 ft²Need help 2w+43,if w=9
Answer:
61
Step-by-step explanation:
2w + 43 = ?, w = 9
Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 61find a solution to the situation. Claire has 8 fewer books than Mai. If Mai has 26 books, how manny books does Claire have?
Answer:
18 books
Step-by-step explanation:
Can you guys help with this?
Answer:
Step-by-step explanation:
refer to the image thank you
Answer:
C I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area to 4 decimal places.
Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:
[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)
[tex]s = 2\pi\cdot r[/tex] (2)
Where [tex]r[/tex] is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]
[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:
[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]
[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)
Where:
[tex]s[/tex] - Measure circumference, in centimeters.
[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.
If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:
[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
You multiply two two-digit numbers and the product is close to 2,600.What two numbers did you multiply?
Step-by-step explanation:
the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600
Answer:
52 and 50
Step-by-step explanation:
Break it down into smaller numbers in this case 3 numbers.
26 * 10 * 10 = 2600
By multiplicative rule,
we can break 10 into 5 * 2,
giving 26 * 10 * 5 *2,
because multiplication is commutative and associative
group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600
24. Reconsider the sample observations on stabilized viscosity of asphalt specimens introduced in Exercise 43 in Chapter 1 (2781, 2900, 3013, 2856, and 2888). Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypotheses.
Answer:
heyy!! I can't attach my answer here does someone know how to attach images?
Step-by-step explanation:
The table shows the pricing for four different types of apples.
Which type costs the least per kilogram?
A $4 for 1.5 kg
B $5 for 2.0 kg
C $7 for 2.5 kg
D $8 for 3.5 kg
Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
can someone go over my work please?
Answer:
well I don't know how you learn this, but if the sign doesn't have a line underneath then its an open circle other than that great job!
Step-by-step explanation:
make 2,3,6,7 open circle if you can then they will all be right
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes times?
i need help! i’m not sure what’s going on
Answer:one of them is m=3/1 y=3x+10
Step-by-step explanation:i
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
If the Diameter is 10 inches, what is the Radius? 2.5 inches 5 inches 10 inches 20 inches
Answer: Radius is always half of the diameter so the answer is 5
Step-by-step explanation:
A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1
mile is 5280 feet.
Answer:
9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
Step-by-step explanation:
Question 2 Mr. Smith is buying two types of gift cards to give as prizes to employees at a company picnic. He will buy restaurant gift cards that each cost S40 and movie theater gift cards that each cost $25 He has $375 to buy a total of 12 gift cards. How many of each type of gift card can Mr. Smith buy?
Answer: He can buy 5 restaurant gift cards and 7 movie gift cards
Step-by-step explanation:
Your local bank offers free checking for accounts with a balance greater than $500. You currently have $357.18 in your account. How much do you need to deposit to avid the month service fee?
Answer: 142.82
Step-by-step explanation:
To be able to avoid the banking fees, you will need to deposit extra
500-357.18=142.82 in your bank account
Match the chart to the type:
1. A chart that monitors the count of objects with a specific characteristic during a time period, or over consistent amount of area.
2. A chart that monitors the within sub-group variation with the range of the subgroups.
3. A chart that monitors the within sub-group variation with the standard deviations of the subgroups.
4. A chart that monitors the proportion of objects from a sample of size n that does, or does not have, a certain characteristic.
5. A chart that monitors the between sub-group averages of a quantitative characteristic.
key:
a. R chart
b. x-"bar"
c. chart
d. s chart
e. z chart
f. t chart
g. f chart
h. c chart
g. p chart
Solution :
1. A chart monitoring the object counts with some specific characteristic during the time period and/or some of consistent amount area -- c. c - chart
2. A chart which monitors the subgroup variations within the range of subgroups -- a. R chart
3. The chart monitoring the variation of within subgroup to that of the standard deviations of the subgroups -- d. s chart
4. The chart which monitors the objects' proportion from the sample size of n which does or does not have any particular characteristics -- g. p chart
5. The chart monitoring the averages between the subgroup of the quantitative characteristic keys -- b. x-"bar" chart
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
Evaluate 2^9 (2 to the 9th power)
Answer:
512
Step-by-step explanation:
2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
Give me an explanation please
Answer:
The 3rd and 6th
Step-by-step explanation:
Make a system of equations, try to solve, and then see which statements apply.
let x be the cost of a DVD and y be the cost of a video game
Then you would have:
2x + y = 12
4x + 2y = 24
from turning the words into equations.
Now, solve:
first, multiply the first equation by 2
2x + y = 12 --> 4x + 2y = 24
Then, subtract the two equations:
4x + 2y = 24
- (4x + 2y = 24)
0 = 0
Since you have a number = a number, there are infinite solutions.
Go through the options they give you and see which ones are correct
o The system of linear equations that represents this situation has one solution
Not true, there are infinite
o The system of linear equations that represents the situation has no solution.
Not true
o The system of linear equations that represents the situation has infinitely many solutions.
True
o The DVD rentals cost more than video game rentals
Unknown, it could cost more but it can also cost less so this is not true
o The video rentals cost more than the DVD rentals
Unknown for the same reason
o You cannot determine the cost of video game rentals or DVDs.
True
What kind of angels are 1 and 2 ?
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:45
Step-by-step explanation:
i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
Simplify the expression:
6(h + 6) + 1
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!