Angelo the Alligator is laying out next to a perfectly circular pond. He is 25 feet from the edge of the pond and 45 feet from the point of tangency. Determine the radius of the pond.
Answers
9514 1404 393
Answer:
28 feet
Step-by-step explanation:
Let r represent the radius of the pond. Then the Pythagorean theorem gives us the relation ...
(25+r)² = r² + 45²
625 +50r +r² = r² +2025
50r = 1400 . . . . . . . . . . . . . subtract r²+625 from both sides
r = 28 . . . . . . . . . . . divide by 50
The radius of the pond is 28 feet.
Related Questions
A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:
Answers
Answer:
14.90 to 16.70 tons
Step-by-step explanation:
We are given;
Sample size; n = 49
Mean; x¯ = 15.8
Sample standard deviation; s = 3.85
At 90% Confidence interval, z = 1.645
Formula for confidence interval is;
CI = x¯ ± z(s/√n)
Thus;
CI = 15.8 ± 1.645(3.85/√49)
CI = 15.8 ± 0.90
CI = 14.90 to 16.70 tons
5) Solve the equation for x.
log(x + 1) = 3
Answers
x=2
y=6
x and yt are different variables
Answer:
999
Step-by-step explanation:
[tex]log(x)=y\\x=10^y\\log(x+1)=3\\x+1=10^3\\x=999[/tex]
plssssss someone help pls pls pls i dont get this look
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 160°. Find m∠Y
Answers
Answer:
I think the answer is 50.
Step-by-step explanation:
Y + S = 90
S = 4 (Y) - 160
160 = 4 (Y)
Y = 40
90 - 40 = 50
Hope it's correct and helps!
answer this please!!
Answers
Answer:
I really don't know, but you submitted this like 23 hours ago, so I don't think it will help if I answer!!!
Step-by-step explanation:
Can I be Brainliest!!!
-6х + 5 y = 1
6х + 4 y = –10
Answers
6x-5y=-1
6x+4y=-10
Subtract bottom equation by top
-9y=9
y=-1
substitute this into an equation
-6x-5=1
add 5 to both sides
-6x=6
x=-1
y=-1 x=-1
Answer: 16-!
Step-by-step explanation:
Help me with my math **50 pts** I mark brainliest**
Answers
Answer:
2)
[tex]2x + 6x + 8 = 32[/tex]
collect like terms
[tex]8x + 8 = 32[/tex]
move the constant to the right hand side and change its sign.
[tex]8x = 32 - 8[/tex]
Subtract the numbers
[tex]8x = 24[/tex]
Divide both sides of the equation by 8
[tex]x = 3[/tex]
the ratio of doors to windows is 1:5 . There are 186 doors and windows in a building . HOw many doors and windows are there?
Answers
Answer:
a. Doors = 31 doors
b. Windows =155 windows
Step-by-step explanation:
Given the following data;
Ratio D:W = 1:5 = 1 + 5 = 6
Total number of doors and windows = 186
Ratio of doors to windows = 1/6
Ratio of windows to doors = 5/6
To find the ratio of the doors;
Doors = 1/6 * 186
Doors = 186/6
Doors =31 doors
To find the ratio of windows;
Windows = 5/6 * 186
Windows = 930/6
Windows =155 windows
Which point is a solution to the inequality shown in this graph?
(3, 2)
(-3,-6)
Answers
Answer:
B. (0, 5)
Step-by-step explanation:
All points on the blue shaded area are solutions. Points on the dashed line and on the white area are not solutions.
(-3, -6) and (3, 2) are on the dashed line and are not solutions.
(5, 0) is in the white area and is not a solution.
(0, 5) is in the shaded area and is a solution.
Answer: B. (0, 5)
2. Do the representations below define a function? *
10
1
10
2
10
3
10
4
Yes, it is a function,
No, it is not a function,
Answers
Answer:
No it is not a function for sure.
PLEASE HELP ME ANSWER The probability that Scott will be late for work is 0.15. In a year Scott works for 240 days. Work out the expected number of days that he will be late......
Answers
Answer:
36 days
Step-by-step explanation:
Given
[tex]p = 0.15[/tex] -- probability of coming late to work
[tex]n = 240[/tex] -- number of days
Required
Determine the expected number of days of coming late (E(x))
This is calculated using:
[tex]E(x) = np[/tex]
[tex]E(x) = 240 * 0.15[/tex]
[tex]E(x) = 36[/tex]
The expected number of days is 36
On the graph of f(x)=sinx and the interval [0,2π), for what value of x does f(x) achieve a minimum? Choose all answers that apply.
Select all that apply:
0
π/4
π/2
π
3π/2
Answers
Answer:
3π/2
Step-by-step explanation:
See attached graph
What is the least value of x for which the inequality is true?
16 > - 2x
Answers
Answer:
Step-by-step explanation:
16>-2x
-2x<16
x>-8
ebook
2.3.49
Write an equation in standard form of the line passing through the points (1,5) and (3, 13).
Answers
Answer:
[tex]y - 4x = 1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,5)[/tex]
[tex](x_2,y_2) = (3,13)[/tex]
Required
The equation of the line
Back up:
First, calculate the slope(m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{13-5}{3-1}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m = 4[/tex]
Calculate the area using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y- 5 = 4(x - 1)[/tex]
[tex]y- 5 = 4x - 4[/tex]
Collect Like Terms
[tex]y - 4x = 5 - 4[/tex]
[tex]y - 4x = 1[/tex]
2/5 times 17
WHOEVER ANSWERS FIRST I GIVE BRAINY!
Answers
Answer:
6.8
Step-by-step explanation:
(2/5)*17
=6.8
Answer:
the answer is 6.8
Step-by-step explanation:
2 17
--- x -------- = 34
5 1 ------
5
34 divided by 5 = 6.8
hope this helped have a great day.
Two eights of the championship football game tickets sold for under $30. One eighth of the tickets sold for more than $100. What fraction of the tickets sold for an amount between $30 and $100?
Answers
Answer:
I think 2/8 + 1/8 = 3/8
8/8 - 3/8 = 5/8
Which of the following is not a statement?
a) Math is hard.
b) v2 is a rational number.
C) Plants require water to live.
d) Lake Martin is a man-made lake.
Answers
A ) I am just guessing
isbslw
Which expression is equivalent to 2x2 + 2x + 4? (2x - 1)(x + 4) (2x + 1)(x - 4) C (2x + 1)(x + 4) None of these
Answers
Answer:
D. None of theseStep-by-step explanation:
Given expression:
2x² + 2x + 4Answer options for equivalent expression:
A. (2x - 1)(x + 4)= 2x² + 8x - x - 4 = 2x² + 7x - 4
IncorrectB. (2x + 1)(x - 4) = 2x² - 8x + x - 4 = 2x² - 7x - 4
IncorrectC. (2x + 1)(x + 4) = 2x² + 8x + x + 4 = 2x² + 9x + 4
IncorrectD. None of these
CorrectTHE MARKED PRICE OF A BOOK IS ₹225 THE PUBILSHER ALLOWS DISCOUNT ₹ 10PERSENT UNIT FIND THE SELLING PROFIT
Answers
255-10
245 skaisusjxl ksusus
Discount=10%
=
100
10
×225=22.5Rs.
S.P.=M.P.−Discount
=Rs. (225−22.5)
=Rs. 202.5.
PLEASE SOMEONE HELP WITH MY MATH!
Answers
Answer:
Oop
Step-by-step explanation:
Can anyone help me with this? (I also need a reasoning)
Answers
Substitute the number to corresponding variable.
Sai: B = 2/3G
(4) = 2/3(6)
4 = 4 Correct
Tyani: G = 3/2B
(6) = 3/2(4)
6 = 6
Both are correct.
3/4 X24 in simplest from
Answers
Answer:
3/4 x 24 = 3/4 x 24/1 = 72/4 = 18
Let me know if this helps!
Please help I’ll mark you as brainliest if correct
Answers
Answer:
D
Step-by-step explanation:
It's D
Answer:
Answer D
Step-by-step explanation:
Its right I just took the test.
what is the square root of 121
Answers
Answer:
11
Step-by-step explanation:
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.
How much more plaid ribbon than polka-dot ribbon does she have?
Last one
Answers
Answer:
7/8
Step-by-step explanation:
I think but im 60% im right
What is the slope of the line that passes through (0, -4) and (6,4)? *
3/4
4/3
0 -3/4
- 4/3
Answers
ANSWER:
The Slope to your answer is 4/3
Joan reads that the mass of an average
elephant's brain is 34 kilograms greater
than an average man's brain. How many
kilograms is an average elephant's brain?
Answers
Answer:
35.5 kilograms
Step-by-step explanation:
An average human's brain is 1.5 kilograms.
1.5 + 34 = 35.5
Help! I need help with these problems. please help.
Answers
Answer:
1. medium
2. 20%
3. 12.48
4. Noah
Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?
Answers
Answer:
19 quarts
Step-by-step explanation:
you change the measurements to quarts.
Which of these has the smallest product?
Answers
Answer:
B
Step-by-step explanation:
1/5 x 5/6 = 5/30
Hope this helps!
Which set of numbers are factors of 20? *
25 points
3, 5, 9
2, 4, 6
1, 2, 4
Answers
Answer:
the asswer is 1 2 4
Step-by-step explanation:
1×20=30
2×10=20
4×5=2