Answer:
1.66666... the number 6 is repeating
Answer:
1. ¯6 or 1.66666.... and 6 is the repeating number
From her eye, which stands 1.66 meters above the ground, Deondra measures the
angle of elevation to the top of a prominent skyscraper to be 70°. If she is standing at
a horizontal distance of 276 meters from the base of the skyscraper, what is the
height of the skyscraper? Round your answer to the nearest tenth of a meter if
necessary.
Answer:
760 m
Step-by-step explanation:
You can draw a right triangle.
For the angle of 70°, 276 m is the adjacent side.
The heigh of the building above 1.66 m is the opposite side.
tan x = opp/adj
tan 70° = h/276
h = tan 70° × 276
h = 758.3
h is the height above 1.66 m.
height = 758.3 m + 1.66 m = 759.96 m
Answer: 760 m
A cylindrical tank is having water pumped in at a
rate of 45 liters/minute and is releasing water at
the bottom at a rate of 25 liters/minute. After five
minutes, what is the net change in the volume of
the water in the tank in liters?
The net change in the volume of the water in the tank in liters would be 100 liters.
How to find the change in volume?We can calculate the released in released with the released between the water released from the water released .
Quantity of water pumped in per minute = 45 liters
Quantity of water released per minute = 25 liters
Number of minutes = 5 minutes
Total water pumped in = 45 liters × 5 minutes
= 225 liters
Total water released = 25 liters × 5 minutes
= 125 liters
Net change in the volume of the water in the tank in liters
= Total water pumped in - Total water released
= 225 liters - 125 liters
= 100 liters
Learn more about cylindrical shape:
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The total cost of attending a state university is $19,700 for the first year.
A student’s grandparents will pay half of this cost.
An athletic scholarship will pay another $5,000.
Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months?
A.$404.17
Answer:
$404.17
Step-by-step explanation:
(19700 - 19700/2 -5000) / 12 =
What can you conclude from her work? check all that apply. the function is continuous. time represents the dependent variable. the scenario is represented by a linear function, since the rate of change is constant. as the amount of time continues, there are fewer cups of juice poured per hour. for every additional hour, 53 cups of juice are poured.
Based on Rachel's work, we can deduce and conclude on the following: options A, C and E.
The rate of change of time per juice.Based on Rachel's work shown in the image attached below, we can deduce and conclude on the following:
The function is continuous because for every hour given, there is always a value for the cups of juice. Thus, its graph would be linear and have a straight line.
Also, the scenario is represented by a linear function because the rate of change is constant. Lastly, for every additional hour, 53 cups of juice are poured.
In conclusion, time represents the independent variable while number of cup of juice is an independent variable.
Read more on functions here: https://brainly.com/question/4246058
Find the area of each shaded region.
Answer:
Step-by-step explanation:
Start off from 2 to 5
Answer:
2) 1/6 : split in half horizontally and into thirds like a fence (vertically)
3) 1/2 : draw a line of symmetry down the middle
4) 1/2 : draw a line of symmetry down the middle
5) 1/6 : slice it like a pizza <3
How many digits are there to the right of the decimal point if you write this number in standard form? How do you know? 5 x 10-4 + 6 x 10-7 + 5 x 10-9 + 9 ~ 10-11 + 4 10-13
please help with my math work !
due tomorrow morning
Answer:
[tex]y=2x+6[/tex]
Hope This Helps! :)
(I need help rn pls )
Mr. Posada graphed the function that relates the cost of an overnight trip to the number of children attending as shown below.
Use the words increasing or decreasing and linear or nonlinear to describe the graph explain ur answer
Answer:
The graph is decreasing in a non linear form, this is shown because from the 0 value to the 12 value on the x axis the y value decreases from 4000 to less than 400( graph going downwards) and its non linear because the graph does not form a straight line
SOMEONE HELP ME! MATH
Answer:
50%
Step-by-step explanation:
The end goal here is to find the total area of the entire figure from the center to the outer radius D. Then take the ratio of region B with respect to the total area, which will give you the probability of landing in the area B.
Circle A has a radius of 4. Circle B has a radius of 8. Circle C has a radius of 12. Circle D has a radius of 16. Therefore, the total area of the dartboard is given by:
[tex]A_{total}=\pi r^2=\pi (16)^2=256\pi[/tex]
The area of the region B can be found by thinking of region B as a shaded region between two concentric circles A and C. The area of the circle C is given by:
[tex]A_C=\pi r^2=\pi (12)^2=144\pi[/tex]
The area of circle A is given by:
[tex]A_A=\pi r^2=\pi (4)^2=16\pi[/tex]
Therefore the area of region B would be:
[tex]A_B=144\pi -16\pi =128\pi[/tex]
Finally, the probability of landing in region B would be:
[tex]P=A_B/A_{total}=128\pi /256\pi =0.5[/tex]
find the area of the square rug if its side is (3x+5) feet
Answer: 9X² + 30X + 225
Step-by-step explanation: Are if a square is the square of the length of a side
(3X + 5)² = ( 3X + 5)(3X + 5)
= 9X² +15X + 15X + 25
= 9X² + 30X + 25
solution to 8n is less than72
Answer:
n is less than 9.
please help asap tysm <333
Answer:
32 yards and 64 feet
Step-by-step explanation:
just multiply them by 32
Which expression represents the phrase below?
8 less than the product of 6 and a number, x
A. 8 - 6x
B.6x-8
C.(6+x)-8
D.8-(6+x)
Answer:
B
Step-by-step explanation:
The number is x and you want 6 of that, so that makes 6x
You want 8 less of this, so subtract 8
Therefore you get 6x - 8
Answer:
B
Step-by-step explanation:
8 less than the product of 6 and x gives the expression 6x-8.
help help helpppppp.fasttttttt.
Answer:
23.6
Step-by-step explanation:
[tex]c=2\pi r[/tex]
The diameter of the cirle is 7.5 m. To find the radius you would take half of the diameter.
7.5 / 2 = 3.75
[tex]c=2\pi 3.75[/tex]
Then you multiply them
your answer is
23.5619
then you round
23.6
Hope this helps!
A company uses 1/4 of a barrel of chocolate chips to make each batch of granola bars. In one day, the company uses 3 1/2 barrels of chocolate chips to make granola bars. How many batches of granola bars did the company make in the day? Can anyone show me the method.
Answer:
14 times.
Step-by-step explanation:
It is how many times 1/4 go in 3 1/2.
3 1/2 as an improper fraction is 7/2.
To make them have the same denominator, we have to change 7/2.
7 x 2 = 14
2 x 2 = 4
So, how many times does 1/4 go in 14/4?
14 times.
How many pounds are in 4 tons
Answer:
8000 pounds are in 4 tons
Step-by-step explanation:
hope it helps loves x :))
Answer:
8000 Pounds
Step-by-step explanation:
There are 8,000 pounds in 4 tons.
1 ton = 2,000 pounds.
Therefore, you multiply 4 x 2,000. Your answer is 8,000 pounds.
a square coffee table has an area of 196 square inches.what is the perimeter
Answer:
56 in
Step-by-step explanation:
Square ....so each side is = x
x * x = area = 196
x^2 = 196
x = sqrt (196) = 14 in
perimeter = x + x + x + x = 56 in
Answer:
56 inches
Step-by-step explanation:
Given,
Area of square = 196 square inches
To find : Perimeter of the square = ?
Formula : -
Area of square = side²
side² = 196
= 14 x 14
side² = 14²
side = 14 inches
Formula : -
Perimeter of the square = 4 x side
perimeter of the square
= 4 x 14
= 56 inches
Find the value of x. Round to the nearest tenth
Answer:
x is approximately 13.7
Step-by-step explanation:
tan(58°) = 22/x
x tan(58°) = 22
x = 13.7
Esti belongs to a track team. She runs 85 yards at each of the team's 11 practices. How far does Esti run in the 11 practices?
Answer:
935 yards
Step-by-step explanation:
If she runs 85 yards at each practice you would multiply it by the amount of practices. So 85x11
Find the SURFACE AREA of the shape below. Do NOT label your answer! *
Answer:
The surface area of the triangular prism is 142.919 m^2.
Step-by-step explanation:
what is the solution set of 2/5 (x+4) -3/5 (2x+3) = 2/5(2-x)-1
Step-by-step explanation:
2/5(x+4) - 3/5(2x+3) = 2/5(2-x)-1
2/5(x+4)-3/5(2x+3) = 2/5x-1/1(2-x)
2/5(x+4)-3/5(2x+3) = -2/5(2-x)
2/5x+8/5 - 6x/5 + 9/5 = -4/5 - (-2x/5) (-x- = +)
2x/5 + 8/5 - 6x/5 + 9/5 = -4/5 + 2x/5
(take like terms)
2x/5 - 6x/5 - 2x/5 = -4/5 - 9/5 - 8/5
( Find their L.C.M ) (5 is the LCM)
2x - 6x -2x / 5 = -4 - 9 - 8 / 5
-10x / 5 = -13 / 5
( cross multiply)
-50x = -65
x = -65/50
x = -1.3 ( decimal)
or x = 13/10 (improper fraction)
or x = 1 ³/10 ( mixed fraction).
Hope this helps.
Good luck.
If you have any questions, you're free to ask.
If Dylan buys a book that is 25% off, what percent of the original price does Dylan pay?
Answer:
75 percent is your answer
hi ..................................................
Answer:
Hi
Step-by-step explanation:
The average attendance at school for 5 days was 264. If the attendance on the 5th day was 256, calculate the average attendance for the first 4 day’s
Answer:
266
Step-by-step explanation:
Let the attendence of 5days be a,b,c,d,e
given,
(a+b+c+d+e)/5=264
a+b+c+d+256=264*5 [since 5th day=256]
(a+b+c+d+)/4=1(320-256)/4 [dividing both side by 4]
average attendence of 4 days =266
What’s the percentile rank of a score of 64?
Answer: 64%
Step-by-step explanation:
The score you have entered means that the individual who took the test is at the sixty-fourth percentile – their percentile rank is 64%. This means that the student had a test score greater than or equal to 64% of the reference population. Conversely, 36% of students scored equal to or higher than the individual tested.
simplify 1/6^3 divided by 1/36
Answer:
1/6
Step-by-step explanation:
To simplify the expression:
1. Change the divisor into it's reciprocal
2. Change the sign into a multiplication sign.
3. Evaluate the product of those fractions.
4. Simplify the fraction. (If possible)
Given expression:
[tex]\dfrac{1}{6^3 } \div \dfrac{1}{36}[/tex]
According to step 1, we need to convert the divisor of the expression into it's reciprocal.
[tex]\dfrac{1}{6^3 } \div \dfrac{36}{1}[/tex]
According to step 2, we need to change the division sign (÷) into a multiplication sign (×).
[tex]\implies \dfrac{1}{6^3 } \times \dfrac{36}{1}[/tex]
According to step 3, we need to determine the product of these fractions. This can be done by evaluating the exponent.
[tex]\implies \dfrac{1}{(6)(6)(6) } \times \dfrac{36}{1}[/tex]
[tex]\implies \dfrac{1}{216 } \times \dfrac{36}{1}[/tex]
Multiply the fractions as needed. [a/b × c/d = (a × c)/(b × d) = (ac)/(bd):
[tex]\implies \dfrac{36}{216 }[/tex]
According to step 4, (If possible), Simplify the product of 1/216 and 36. In this case, the product of 1/216 and 36 is 36/216. Since both are divisible by 6, we can divide the numerator and the denominator by 6 to simplify the fraction.
[tex]\implies \dfrac{36 \div 6}{216 \div 6 }[/tex]
[tex]\implies \dfrac{1}{6 }[/tex]
Therefore, the quotient of 1/6^3 and 1/36 is 1/6.
Learn more about this topic: https://brainly.com/question/22322495
Answer:
[tex]\large\textsf{$\dfrac{1}{6}$}[/tex]
Step-by-step explanation:
[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{36}$} \implies \normalsize \textsf{Convert 36 into a base with an exponent}[/tex]
[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{6^2}$} \implies \normalsize \textsf{Cross multiply}[/tex]
[tex]\large\textsf{$\dfrac{1 \cdot 6^2}{1 \cdot 6^3}$} \implies \normalsize \textsf{Multiply}[/tex]
[tex]\large\textsf{$\dfrac{6^2}{6^3}$}\implies \normalsize \textsf{Simplify using the Quotient of Powers Property: \normalsize\textsf{$\dfrac{x^m}{x^n} = x^{m-n}$}}[/tex]
[tex]\large\textsf6^{2-3}[/tex]
[tex]\large\textsf6^{-1} \implies \normalsize \textsf{Simplify using the Negative Exponent Property: \normalsize\textsf {${x^{-m}} = \dfrac{1}{x^m}$}}[/tex]
[tex]\large\textsf{$\dfrac{1}{6^1}$} \implies \normalsize \textsf{Simplify}[/tex]
[tex]\large\textsf{$\dfrac{1}{6}$} \implies \normalsize \textsf{Final answer}[/tex]
Hope this helps!
A piece of string is 120 centimeters long.
How long would the piece of string Measure in meters?
Picture:
Answer:
1.2 m
Step-by-step explanation:
1 meter = 100 cm
120-100(1m)=20
.2 meters would be 20 cm if we're going by 1 m = 100cm.
We already have 1 meter from 100 cm and then we add the .2 meters to the 1 meter. 1+.2= 1.2 m
Answer:
1.2
Hope this helped!
Which are solutions of x2 5x = 2? check all that apply. startfraction 5 over 2 endfraction startfraction startroot 33 endroot over 4 endfraction startfraction 5 over 2 endfraction startfraction startroot 33 endroot over 2 endfraction startfraction 5 over 2 endfraction minus startfraction startroot 33 endroot over 2 endfraction startfraction negative 5 over 2 endfraction minus startfraction startroot 33 endroot over 2 endfraction startfraction negative 5 over 2 endfraction startfraction startroot 33 endroot over 2 endfraction
Answer:
x = -5/2 + root(33)/2 or x = -5/2 - root(33)/2
Step-by-step explanation:
ok so your computer is
saying:
x^2 + 5x = 2
and takes the 5 divides it by 2 and squares the result
x^2 + 5x + 25/4 = 2 + 25 /4 but then replaces a trinomial with a binomial
(x + 5/2)^2 = 2 + 25/4 = 33/4
solving
x = -5/2 + root(33/4) or x = -5/2 - root(33/4)
or
x = -5/2 + root(33)/2 or x = -5/2 - root(33)/2
Answer:
C and D
Step-by-step explanation:
correct on edge
Problem 2 Six different jobs need to be done today at the restaurant where you work. You have a pool of nine available workers. If you can assign only one worker to each job and no more than one job to a worker, how many different worker/job assignments are possible
========================================================
Explanation:
The order matters because the jobs are different. This means we'll use a permutation.
We have n = 9 workers to pick from and r = 6 jobs to fill.
Plug those values into the nPr permutation formula.
[tex]n P r = \frac{n!}{ (n-r)! }\\\\9 P 6 = \frac{9!}{ (9-6)! }\\\\9 P 6 = \frac{9!}{ 3! }\\\\9 P 6 = \frac{9*8*7*6*5*4*3*2*1}{ 3*2*1 }\\\\9 P 6 = 9*8*7*6*5*4 \ \ \text{.... Note: The 3*2*1 cancels}\\\\9 P 6 = 60480\\\\[/tex]
There are 60480 ways to assign the 9 workers to the 6 different jobs where order matters.
----------------------
Another approach:
Label the 6 jobs as A,B,C,D,E,F
For job A, we have 9 workers to pick from.
For job B, we have 8 workers to pick from. This is because it states that there is "no more than one job to a worker".
For job C, we have 7 workers to pick from. And so on. We have this countdown going on. We stop once we reach job F.
We end up with 9*8*7*6*5*4 = 60480 different permutations
The string "9*8*7*6*5*4" is found in the second to last step of the section above.