Answers
Answer:
82
Step-by-step explanation:
You are looking for the hypotenuse.
c = ?
a = 80
b = 18
c^2 = a^2 + b^2
c^2 = 18^2 + 80^2
c^2 = 324 + 6400
c^2 = 6724
sqrt(c^2) = sqrt(6724)
c = 82 inches
Answer:
[tex]\boxed {\boxed {\sf 82 \ inches}}[/tex]
Step-by-step explanation:
We are asked to find the length of the rake.
We know it hits the wall 80 inches above the ground and the bottom of the rake is 18 inches away from the wall. The point where the top of the rake hits the wall and the distance away from the wall are the legs that form a right angle and the rake is the hypotenuse.
We want to find the hypotenuse or the length of the rake. We will use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this theorem, a and b are the legs and c is the hypotenuse.
The length of the legs are 80 inches (distance from ground to top of rake) and 18 inches (distance from wall to bottom of rake). The hypotenuse is unknown.
a= 80 in b= 18 inSubstitute the known values into the formula.
[tex](80 \ in)^2+(18 \ in)^2= c^2[/tex]
Solve the exponents.
(80 in)²= 80 in*80 in= 6400 in²(18 in)²= 324 in²[tex]6400 \ in^2+ 324 \ in^2= c^2[/tex]
Add.
[tex]6724 \ in^2=c^2[/tex]
We are solving for c, the hypotenuse, so we must isolate the variable. It is being squared. The inverse of a square is a square root, so we take the square root of both sides.
[tex]\sqrt {6724 \ in^2}= \sqrt{c^2}[/tex]
[tex]\sqrt{6724 \ in^2}=c[/tex]
[tex]82 \ in =c[/tex]
The length of the rake is 82 inches.
Related Questions
Tell whether the ordered pair is a solution to the equation.
x=9;(9,6)
Answers
Answer:
yes, it is
Step-by-step explanation:
The value of x in the ordered pair (x, y) = (9, 6) is 9. That satisfies the equation ...
x = 9
Substituting 9 for x, we get a true statement:
9 = 9
Answer:
Step-by-step explanation:
At time t= 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water in the tank is increasing at a rate of W (t) feet per hour. Which of the following is the best interpretation of the statement W' (2) > 3?
a. Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 33 feet per hour.
b. Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour.
c. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.
d. Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 33 feet per hour per hour.
Answers
The given function is the rate of change of the water depth. therefore,
W'(t) is the second derivative.
The correct option is; d. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Reasons:
The volume of water in the tank is 0 at time t = 0 (the tank is empty)
The function that gives the rate at which the depth of water in the tank is
increasing at time t > 0 is W(t).
Where;
t = The time in hours
Therefore;
W'(t), the derivative of the function of the rate at which the water in the
tank is increasing in feet per hour is the rate of increase of W(t).
Which gives;
W'(2) = The rate of change of the rate at which the water level is rising (second derivative) two hours after begins to fill with water, per hour per hour.
Therefore;
W'(2) > 3 = Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Learn more about second derivative here:
https://brainly.com/question/10305010
which one is a function quick
Answers
Answer:
Table be is the only function. Table A has -5 as an x value two times.
Step-by-step explanation:
Which equation best represents the line of best fit for the scatter-plot?
Answers
What is the value of x in this equation? Enter your answer in the box.
(2.4 x 10^3) x (3 x 10^x) = 7.2 x 10^9
Answers
Answer:
6
Step-by-step explanation:
(2.4×10³)×(3×10^x)=7.2×10^9
(3x10^x)=(7.2×10^9)/(2.4×10^3)
3×10^x=3×10^6
10^x=10^6
*when bases are same ,powers are equated*
thus x=6
i just forgot this like ;-;
Answers
Answer:
[tex] \boxed{\bf \dfrac{64}{729} }[/tex]
Hence,
[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]
Step-by-step explanation:
Given arithmetic expression is :-
[tex]\sf \longmapsto(2/3) {}^{6} [/tex]
This expression may be rewritten as :-
[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]
6 is the index and 2/3 is the base.
In words, this may be represented as 2/3 raised to the Power 6.
Let's calculate.
It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.
That is,
[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]
It will be represented as,
[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]
On Simplification:-
[tex]\sf \longmapsto \dfrac{64}{729} [/tex]
In Decimal:-
[tex]\sf \longmapsto0.08(approx .)[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Rewrite using the distributive property and the GFC
13+26 ?
Answers
Answer: 13 ( 1 + 2 )
Step-by-step explanation:
13 ( 1 + 2 ) = 13 + 26
Write the standard form of a polynomial functions whose zeros/roots are
4-3i, 4+3i
and has a lead coefficient of 1
Answers
Answer:
In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.
Step-by-step explanation:
(10.5 - 7) + (4x3) evaluate the expression
Answers
Ok done. Thank to me :>
simplest form of 76% as a fraction.
Answers
Answer:
19/25
Step-by-step explanation:
Percentages are always out of 100.
76/100 = 38/50 = 19/25
Answer:
19/25
Step-by-step explanation:
76% as a fraction is 76/100. The greatest common factor of 76/100 is 2, this simplifies to 38/50, then 19/25.
How many negative integers $m$ satisfy the inequality $\dfrac{3}{m} \le -\dfrac27$?
Answers
Answer:
10
Step-by-step explanation:
The restriction m < 0 means we can multiply by -7m/2 without changing the direction of the inequality symbol
[tex]\dfrac{3}{m}\le-\dfrac27\\\\-\dfrac{21}{2}\le m\qquad m<0}[/tex]
Then the solution is the number of negative integer values between -10.5 and 0. There are 10 negative integer values of m that satisfy the inequality.
Write a multiplication equation that corresponds to each division equation.
10 divided by 5 =
4.5 divided by 3 =
3 ½ divided by 4
Answers
Answer:
1. 10/1×1/5
2.5/1×1/3
3.1/2×1/4
Step-by-step explanation:
to turn it into a multiplication problem, turn the second fraction into its reciprocal (flip the numerator and denominator )
so I got a question from khan I will give 50 points it is 16− 2r = -3r+ 6r +1
r= equals ?
Answers
Answer:
r = 1/11
Step-by-step explanation:
16r-2r = -3r+6r+1
14r = 3r+1 (combine like terms)
11r = 1
r = 1/11
solve the following equation. Enter your answer as an integer, decimal or fraction.
Answers
Answer:
x = 5 or × = -7/2
Step-by-step explanation:
I hope you get it good luck.
HELP! I need answers to every question
Answers
What is the slope of the line shown below?
2
03
O 1/3
Answers
Answer:
1/3
Step-by-step explanation:
the y increases by 3 in the line while at the same time x is increased by 1. x/y for slope, so itd be 1/3
Help please!!
Question in picture!
Answers
Answer:
4x + 6y, 24
Hope you could get an idea from here.
Doubt clarification - use comment section.
-4-(-8) divided by 4
Answers
Answer:
1
Step-by-step explanation:
-4 minus -8 is the same as 8 - 4 which is 4 and 4 divided by 4 is 1.
Answer:
8
Step-by-step explanation:
What is 7x + 15 = 9x + 15 - 2x + 1 and how many solutions are there
Answers
Answer:
no solutions
Step-by-step explanation:
7x + 15 = 9x + 15 - 2x + 1
Combine like terms
7x+15 = 7x+16
Subtract 7x from each side
7x+15-7x = 7x+16-7x
15 =16
This is not a true statement so there are no solutions
HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.
Answers
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
S/O: sqdancefan
1.1046 rounded to the nearest whole number
Answers
Answer:
1
Step-by-step explanation:
Answer is 1
cuz nearest whole number, just check the next number that is nearest, that in this case is the decimal 1, hence, if it's 5 or above add a one to the whole number, if not then just write it as it is. in this case the nearest number is less than five so we just write it as 1.0000 or just 1
Choose the statement that is true. WILL MARK BRAINLIEST
A.) For a normal distribution, 68% of the distribution is within 3 standard deviations.
B.) For a normal distribution, 95% of the distribution is within 3 standard deviations.
C.) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
D.) For a normal distribution, 100% of the distribution is within 3 standard deviations.
Answers
Answer:
option A is correct
hope it helps :)
Step-by-step explanation:
The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
Therefore, looking at the options, the true statement id
A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work
Day. Books sold
Thursday. 93
Friday. 103
Saturday 157
Sunday. 116
Answers
Answer:
$3768
Step-by-step explanation:
The amount of sales will be the product of the selling price of each book and the number of books sold.
sales = book price × number of books
sales = $24 × 157 . . . . . . . . books sold on Saturday
sales = $3768 . . . . . . . . . . . sales on Saturday
what value is equivalent to 5^2 x 5^2 A20 B425 C625 D80
Answers
The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x 1000 What does the number 1,000 represent? Amount of trash originally in the landfill Amount of trash added to the landfill every day Rate at which the total trash increases every day Rate at which the new trash increases every day.
Answers
The number 1000 represents the amount of trash originally in the landfill.
Given that,
The same amount of trash is dumped into a landfill every day.
The function below shows the total number of tons of trash n in the landfill after x days:
n = 2000x + 1000
We have to determine,
What does the number 1,000 represent?
According to the equation,
The function is,
n = 2000x + 1000
The initial value of a function is defined as the started value of the function independent of any variables present in the function.
Here, n represent the amount of trash and x represents the number of days.
Therefore,
n = 2000x + 1000
In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.
Hence, The number 1000 represents the amount of trash originally in the landfill.
For more information about Equation refer to the link given below.
https://brainly.com/question/7383794
The correct answer would be A, the amount originally in the landfill.
I
Table for a linear equation
Fill in the table using this function rule.
y = 5x-2
X
y
Х
?
- 1
0
1
2
Answers
what is 7829 to the nearest 1000
Answers
Answer:
8000
Step-by-step explanation:
Since 8 is bigger than 5, you can increase it
7829 to the nearest ten: 7830
7829 to the nearest hundred: 7800
Hope this helps!
The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
For example round of 346 will, be350 and round of 344 will be 340
Given the digit,7829
9 → unit place
2 → tens place
8 → hundred place
7 → thousand place
In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.
Since 829 > 500 so 7829 → 8000
Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".
To learn more about rounding a digit,
https://brainly.com/question/116595
#SPJ2
Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).
Question: Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?
Answers
Answer:
that is dependent event when you are taking out first marble permanently
What is the number seven hundred thirty-one million, nine hundred thirty-four thousand, thirty written in a stranded form
Answers
Answer:
731,934,030
Step-by-step explanation:
hope this helps you
Answer:
731,934,030
Step-by-step explanation:
Hope it helps
PLEASE NO LINKS OR NEGATIVITY
