Given that speed of water in the whirlpool, s (in feet per second) varies inversely with the radius, r (in feet) i.e., s * r = k, where k is the constant of variation.
Using the information, given in the question, we have;
2.5 feet per second * 30 feet = k75 feet² per second = k
We can now use k to find the speed of water at a radius of 3 feet.s * r = k ⇒ ss * 3 feet = 75 feet² per seconds = 2.5 feet per seconds * 30 feet,
since k = 75 feet² per seconds= (75 feet² per second) / (3 feet)ss = 25 feet per second
Thus, the speed of the water at a radius of 3 feet is 25 feet per second.
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Amy’s cake shop is building a three tier circular wedding cake. The top layer has a radius measuring 2.5 inches. The next layer is 3 inches longer off the side of the first layer, and the third layer is 3 inches longer than the second layer. What is the circumference of the third layer?
Name the segment parallel to the given segment for #2
Answer:
YZ is parallel to RT
RS is parallel to XZ
XY is parallel to TS
Step-by-step explanation:
The answer is self-explanatory if you look at the picture and the segments listed as parallel - running side by side. Hope this helps and all the answers are right. Just checked the score on the test and these were right.
The parallel line segment will be YZ || RT, RS || XZ, and XY || TS.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
In math, equal lines can be characterized as two lines in the very plane that are at equivalent separation from one another and never meet.
The length of a line portion can be estimated either in metric units like millimeters, and centimeters, or in standard units like feet or inches.
The line segment YZ is parallel to RT.
The line segment RS is parallel to XZ.
The line segment XY is parallel to TS.
The parallel line segment will be YZ || RT, RS || XZ, and XY || TS.
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Factor completely the given polynomial
x(x + 20) + 11(x + 20)
x(x + 20) + 11(x + 20)=
Answer:
(x + 20)(x + 11)
Step-by-step explanation:
x(x + 20) + 11(x + 20) =
Factor out the common factor of x + 20.
= (x + 20)(x + 11)
The binomials make it look complicated, but this is simpler than you think.
Look at this simpler, but similar, example.
Factor xy + 4y
xy + 4y =
You see clearly that y is a common factor, so you factor out y, and you get
= y(x + 4)
In your problem, you have
x(x + 20) + 11(x + 20) =
where (x + 20) is the common factor.
You factor out the common factor, (x + 20). What is left? x + 11 as a factor, so you get
(x + 20)(x + 11)
What is the equation for p?
for what values of x and y is PQRS and parallelogram
Answer:
x = 2
y = 3
Step-by-step explanation:
Measures of opposite sides of a parallelogram are equal.
Therefore,
PQ = SR
2y + 2 = y + 5
2y - y = 5 - 2
y = 3
QR = PS
2x + 3 = y + 4
2x + 3 = 3 + 4 (y = 3)
2x = 7 - 3
2x = 4
x = 4/2
x = 2
Thus, for x = 2 and y = 3, PQRS is a parallelogram.
graph the parabola. y=(x-3)^2-1
Answer:
Step-by-step explanation:
y = (x-3)²-1
This is the equation for an up-opening parabola with vertex (3,-1).
Find the x-intercepts:
0 = (x-3)²-1
(x-3)² = 1
x-3 = ±1
x = 4, 2
The graph crosses the x-axis at (4,0) and (2,0).
Find the y-intercept:
y = (0-3)²-1 = 8
The graph crosses the y-axis at (0,8).
Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.
what are the rules for multiplying negative numbers?
Answer:
When multiplying negative numbers, just remember 2 things. 1: 2 negative values will always give a positive value. 2: If you only have 1 negative value, your answer will also be negative. Just remember these rules and the rest is simple multiplication.
Answer:
Hi there! Your answer is down below!
Step-by-step explanation:
The rule of how to multiply negatives is simple: For a case where a negative number is multiplied by a positive, the rule above can be restated as: take the positive number, and the negative WITHOUT the minus sign, multiply them and add the inus sign to the product.
Have a nice day!
Find the measure of the arc or angle indicated.
Answer: The correct is 114
Step-by-step explanation: Hope this helps
two cube numbers from 3,6,8,14,16,28,41,64
Answer:
67
70
73
76
79
82
85
Answer:
The answer are 8 and 64
Step-by-step explanation:
[tex] \sqrt[3]{8} = 2 \\ \sqrt[3]{64} = 4[/tex]
Use Inverse trig functions to solve for the missing angles
D
8.5
F
E
6.5
Answer:
Angle <E is approximately 40 degrees, and angle <D is approximately 50 degrees
Step-by-step explanation:
Since angle <F is clearly 90 degrees, we can find angle E using the cosine function that relates the adjacent side to the angle with the hypotenuse:
[tex]cos(\theta)=\frac{adj}{hyp} \\cos(E)=\frac{6.5}{8.5}\\E = arccos(\frac{6.5}{8.5})\\E\approx 40.12^o[/tex]
And we use the sin function to deal with angle <D:
[tex]sin(\theta)=\frac{opp}{hyp} \\sin(D)=\frac{6.5}{8.5}\\D = arcsin(\frac{6.5}{8.5})\\D\approx 50^o[/tex]
On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any additional deposits or withdrawals since then, and if the interest rate has stayed the same, in what year did his balance hit $2300, according to the rule of 72? A. 1993 B. 1992 C. 1994 D. 1991
In 1993 year his balance will hit $2300.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.
Given, On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly.
Here the given amount = $1150
Amount after getting compound interest in this amount = $ 2300
Since, $2300 is double to the amount $1150
According to the rule of 72, an amount is doubled if the product of annual rate and period (in years) is equal to 72. Also, with the help of this rule we get the approximate value of rate or time.
Since, Here the annual rate of interest = 9.6%
Let the given amount $1150 is doubled ($2300) in t years.
The, 9.6 × t = 72
⇒ t = 72/9.6 = 7.5
Since he deposited money on April 1 1986,
Thus, Her amount be $2300 on 1993
Therefore, In 1993 year his balance will hit $2300.
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Urgent please help..
Answer:
72
Step-by-step explanation:
Select all that apply.
Chandler can mow 2 lawns per hour. If L represents lawns and H represents hours, which of the following equations represent this rate relationship?
L = 2 × H
H = × L
H = 2 × L
L = × H
Answer:
L = 2 × H
Step-by-step explanation:
The amount of lawns mowed would equal 2 times how many hours because he can mow 2 lawns in a hour.
Answer:
mark other guy brainliest pls. good answer guy above my head
Step-by-step explanation:
Baby Rachel wants to arrange 12 blocks in a row. How many different arrangements can she make
Answer:
479,001,600 different arrangements
Step-by-step explanation:
Please help me I will mark you brainliest !!
Answer:
it would be 5x+2y=10 look at pic for math
The formula A-lw is used to calculate the area A of a rectangular surface using the length and the width
(w) of the surface. Which formula could be used to find w in terms of A and I?
Emily made $12.50 selling lemonade for 2 hours. At that rate, how long would she have to sell lemonade to eam $100?
O 16 hours
O 8 hours
O 625 hours
O 4 hours
Answer: 16 hours
Step-by-step explanation:
y=x/3+2.
Its a benchmark pls help
Answer:
Slope:
y= 1/3
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answer:
1242
Step-by-step explanation:
Write your question here (Keep it simple and clear to get the best answer)When A Number Is Subtracted From 1010001 the Difference Is 910002 find The Number?
Answer:
[tex]99999[/tex]
Step-by-step explanation:
Let the number be [tex]x[/tex].
According to question, if a number is subtracted from 1010001 the difference is 910002.
[tex]1010001-x=910002[/tex]
Transpose [tex]1010001[/tex] to the right side of the equation.
[tex]-x=910002-1010001=-99999\\-x=-99999[/tex]
Multiply both sides by [tex]-1[/tex]
[tex]-x(-1)=-99999(-1)\\x=99999[/tex]
So, if [tex]99999[/tex] is subtracted from 1010001 the difference is 910002.
I need help it's due by 7
Answer:
Step-by-step explanation:
w=204.8
Answer:
204.8
Step-by-step explanation:
8x25.6=204.8
DOuble Check:
204.8 divided by 25.6=8
i need help with this
Answer:
112
Step-by-step explanation:
To find the area, you must multiply the width and the length. 14 times 8 is 112.
find x using the pythagorean theorem
What 895 times 50??
(Only Answer If You Want Spam)
Answer:
44750
Step-by-step explanation:
A workman received $110 for working 20 hours. At the same rate of pay, how many hours must he work to earn $187?
Answer:
He must work 34 hours
Step-by-step explanation:
187×20= 3740
3740÷110= 34
If a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A workman received $110 for working 20 hours.
We will apply the unitary method in order to solve the given problem.
For $110 he has to work 20 hours.
$110 = 20 hours
For 1 dollar he has to work,
$1 = 20 / 110
$1 =0.1818 hours
The number of hours must he work to earn $187 will be,
$187 = 187 × 0.1818 hours
$187 = 33.99 hours
Thus, if a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.
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What is the scale factor from triangle DEF to triangle ABC?
Answer:
i think you need to include a picture
Step-by-step explanation:
In 50 trials both coins land in a shaded box twice. What is the experimental probability that both coins fall into a shaded box?
Answer:
1 / 25
Step-by-step explanation:
Number of trials = 50
Number of successes (number of times both coins land in a shaded box) = 2
Experimental probability = (number of successes / number of trials)
Experimental probability (both coins landing into a shaded box) = 2 / 50
= 1 / 25
Kayden and his children went into a bakery and will buy donuts and cookies. Each donut costs $1 and each cookie costs $0.75. Kayden has a total of $15 to spend on donuts and cookies. Write an inequality that would represent the possible values for the number of donuts purchased, dd, and the number of cookies purchased, c.c.
Step-by-step explanation:
1+.75= blank
then subtract 15 and answer above. make sure when you write your final answer to label it. is it chairs, puppies? hope this helps! you got this
PLEASE HELP! Due in a few hours!!
You need to workout the area of the shape :)
Answer:
breakdown the initial figure into 2 rectangle
and add their area
the percentage of people who took less than 40 secs to complete a task give answer in 1 decimal place
Answer:
63.6%
Step-by-step explanation:
Total number of people that took the test = 110
People who took less than 40 seconds to complete the task = 30 + 40
= 70
The percentage of the people that took less than 40 seconds to complete the task can be determined as follows:
= [tex]\frac{number of people who used less than 40 seconds}{total number of people who took the task}[/tex] x 1100%
= [tex]\frac{70}{110}[/tex] x 100%
= 0.6364 x 100%
= 63.6%
The percentage of the people that took less than 40 seconds to complete the task is 63.6%.