9514 1404 393
Answer:
205 ft
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...
A = LW
7585 = (6w-17)(w)
6w² -17w -7585 = 0
Perhaps most straightforward is using the quadratic formula to solve this.
For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...
[tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]
The width is 37 feet, so the length is ...
6(37) -17 = 205 . . . feet
The length of the rectangle is 205 feet.
Find the volume of a cone with a base radius of 6 in and a height of 12 in. Write the exact volume in terms of , and be sure to include the correct unit in your answer.
Answer:
we have
radius [r]=6in
height [h]=12in
Volume of cone = 1/3πr²h
Volume = 1/3 ×π × (6)² × 12=144πίn³or 452.38in³ is your answer.
Is this relationship proportional or non proportional
What is 0.0475 converted to a percentage
Answer:
0.0475 = 4.75%
Step-by-step explanation:
Answer:
4.75%
Step-by-step explanation:
Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.
The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.
[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]
We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is: 4.75%
What decimal is equal to 3/4???? ANSWER FAST!!!!!!!!!!!1
Answer:
0.75
Step-by-step explanation:
The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?
25
28
42
35
Answer:
35
Step-by-step explanation:
its the 4th step your welcome
20-25-30-35
56-49-42-35
Answer: 35 I got it correct on the quiz
Step-by-step explanation:
server F, working 7 hours offers to join the group of five servers sharing their workload. If server F joins will the mean number of hours worked increase or decrease
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler
9996666669999999999999 + 767859439234567890
Answer:
9.9974345e+21
Step-by-step explanation:
im a big brain
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
To learn more about rotation click :
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Hey guys, I really need help with this question!Please no links, or I will report! Dont answer if you dont know please!
What is the probability that a randomly selected date in the year 2021 is not in the month of October or
November?
Type your answer into the box as a decimal. Round to the nearest thousandth.
Answer:
0.833
Step-by-step explanation:
There are 365 days in 2021
There are 31 days in October
There are 30 days in November
(365-61)/365 = 0.833
1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(
Answer:
C
I have done the math on a calculator. :p
Answer:
C
Step-by-step explanation:
First you Just Divide
and the remainder
will be R4 and it's 76÷6
Drag the expressions into the order in which the expressions are listed from greatest value to least value. Place the expression with the greatest value at the top and the one with the least value at the bottom.
(5280×10)−(314×10)
5280−314
10.6× (5280 −314)
(5280−314)÷111
Step-by-step explanation:
I did the test!Greatest expression=10.6× (5280 −314)
Least expression= (5280−314)÷111
Step-by-step explanation:Definition of greatest value and least valueThe greatest value is the maximum value in given observation and least value is the minimum value in the given observation.
Solution of first expression
[tex](5280*10)-(314*10)= 52800-3140\\=49660[/tex]
Solution of second expression
[tex]5280-314= 4966[/tex]
Solution of third expression
[tex]10.6*(5280-314)=53632.8[/tex]
Solution of fourth expression
[tex](5280-314)/111=44.74[/tex]
From the above observation we can observe that greatest and least value are 53632.8 (which is third expression ) and least value 44.74(which is fourth expression)
To know more about solving expression
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EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS
How is X - 5 mathematically different from x > 5?
INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST
Answer:
The result is different
Step-by-step explanation:
Hope this helps
Please help very urgent
Answer:
Amplitude = 5.5 units
Domain = All Real Numbers
Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.
Select the correct graph.
Which graph represents function f?
Answer: top right graph
Step-by-step explanation: Put in calculator and you will find the answer
The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie
Answer:132.25π m²
Step-by-step explanation:The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π
What integer is the opposite of 32 degrees Celsius below zero?
Answer:
-32?
Step-by-step explanation:
The total bill for drinks and a pizza for three people is $1490 before tax the group wants to leave a 15% tip on the cost for the food, not including tax, what will be the amount of the tip?
Answer:
223.50
Step-by-step explanation:
1490x .15 = 223.50
What is the image point of (-9,-2) after the transformation T-2,-5
Answer:
(-11, -7)
Step-by-step explanation:
The original point is (-9,-2)
The transformation you have to do is (x-2 , y-5)
This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)
So, your final answer would be (-9-2,-2-5) which is (-11,-7)
please help me.. I don't understand what it is..
9514 1404 393
Answer:
22.6
Step-by-step explanation:
The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...
d^2 = 16^2 +16^2 = (16^2)(2)
Taking the square root, we have ...
d = 16√2 ≈ 22.6 . . . . inches
Find the value of x pls help with this
what is the diameter of a circle with a circumference of 27 centimeters?
Answer:
diameter = 8.6 cm
Step-by-step explanation:
diameter = 27/π = 8.6 cm
help please i really need this done
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is
Answer: $192.50
Step-by-step explanation:
wages for 40 hrs + wages for overtime work
$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)
$192.50
Credit: anjalijalan3126
Which number best represents the probability that an event is very unlikely to occur?
A) 1.25
B) 0.50
C 0.97
D) 0.05
Helpppp fastttt
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3a8Nt8n
A number squared, then increased by 4, I need the equation.
PLEASE HELP!!
What value if m makes the equation true??
m+2m-6 =-12+2m
m=?????