5. Elena drops her pencil in her cup and notices that it just fits diagonally. (See the
diagram.) The pencil is 17 cm long and the cup is 15 cm tall. What is the diameter of the
cup
Answers
Answer:
but where is the diagram
Elena drops her pencil into her cup and notices that it just fits diagonally. The pencil is 17 cm long and the cup is 15 cm tall. The diameter of the cup is 8 cm.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
Elena drops her pencil into her cup and notices that it just fits diagonally. The pencil is 17 cm long and the cup is 15 cm tall.
Consider the pencil and cup just make a right angle triangle. If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|17|^2 = |15|^2 + |BC|^2 \\\\289 = 225 + |BC|^2 \\\\ |BC|^2 = 289 - 225\\\\ |BC|^2 = 64\\\\ |BC|^2 = \sqrt{64} \\\\BC = 8[/tex]
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Related Questions
An anaconda can be about 29 feet long. A boa constrictor can be about 18 feet long. How many inches longer is the anaconda?
Answers
Answer:
132 inches
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
please like
Consider the function graphed below.
Which function does the graph represent?
Answers
Answer:
its c on edge 2021
Step-by-step explanation:
The function of graph is
f(x) = { x² , x < 1
1/3x+ 2/3 , x > 1
What is function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
For first part of graph we have the equation of parabola as
y = a (x- h)² + k
At origin, h= 6 and k= 0
y = ax²
and, Passing through the point (1, 1)
1 = 1 (a)
a= 1
So, the equation first is y= x².
Now, for second part using slope intercept form
y= mx+ b
As, Passing through (1, 1) and (4, 2)
(y- 1) = (2-1)/ (4-1) (x- 1)
y-1 = 1/3 (x-1)
y - 1 = 1/3 x - 1/3
y - 1/3 x = -1/3 + 1
y - 1/3x = 2/3
y= 1/3x + 2/3
So, the function of graph is
f(x) = { x² , x < 1
1/3x+ 2/3 , x > 1
Learn more about Function here:
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I need help with #12
Answers
Answer:
B
Step-by-step explanation:
please answer, best answer gets brainliest
Answers
The mean:(11+13+43+47)/4 = 28.5
Mhanifa please help! This is due soon and I dont want to fail
Answers
Answer:
#1
Sum of interior angles is 180:
y = 180 - (42 + 31) = 107The law of sines:
x / sin 107 = 11 / sin 42x = 11 sin 107deg / sin 42deg x = 15.72#2
The law of cosines:
cos 76 = (6² + 17² - x² )/2(6)(17)204*0.24 = 325 - x²x² = 325 - 48.96x² = 276.04x = √276.04x = 16.61#3
Same as above:
2*9.4*10*cos 20 = (10² + 9.4² - x²)176.66 = 188.36 - x²x² = 188.36 - 176.66 x² = 11.7x = √11.7x = 3.42#4
Sum of interior angles is 180:
y = 180 - (52 + 94) = 34The law of sines:
x / sin 34 = 15 / sin 94x = 15 sin 34 / sin 94 x = 8.41hello! today is teacher appreciation week.
question: why do you appreciate your teachers?
#teacherappreciationweek
Answers
Answer:
I appreciate my teacher because they leave comments on my submissions that let me know when I do well or need to improve. My teacher is also very forgiving when I turn things in a little late, which I`m grateful for. She`s very understanding and knows how to give out a perfectly balanced work load to avoid stress as well.
Solve the systems of equations by graphing
y= x^2-2x-8
y=2x-3
Answers
Answer:
(-1,-5)
Step-by-step explanation:
What is the median number of books read?
Answer options with 5 options
A.5
B.8
C.9
D.10
E.11
Answers
Answer:
The answer is B:8
Step-by-step explanation:
because when you line up the numbers in order
5 6 7 8 11 11 15
The middle number is 8
DUE IN 10 MINUTES!! PLEASE ANSWER THESE QUESTIONS BELOW. 100 POINTS!!
TOPIC: Probability
1. Provide an example of when probability is used in the media
2. Give a personal example of when probability informed your decision making
3. Provide an example of probability being used to influence a decision
4. Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answers
Answer:
Here is ur answer :
1. Probability of composing music for a movie is 1
2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .
3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .
4. Sorry i don't know
Hope the others will help you !!
E(4, 6) is one endpoint of EF. M(1, 1) is the midpoint of EF.
Determine the coordinates of the endpoint F.
Answers
A jacket that normally sells for $80 is on sale for 20% off. What is the sale price of the jacket?
Answers
Answer:
64
Step-by-step explanation:
..........
.........
Parts
Mart has a 13.5-ounce bag of raisins and a 257-ounce bag of granola mix
He puts an equal amount of the combined raisin and granola mix into each
of 4 large bowls. How much mix does Matt put in each bowl?
Show your work
Answers
Answer:
Matt put 3.375 ounces of raisins and 64.25 ounces of granola in each bowl.
Step-by-step explanation:
Divide the amount of raisins by four and divide the amount of granola by four :)
HELP ASAP!!!
An investor bought 1,500 shares of stock for $6 a share. He estimates the probability that the stock will rise to a value of $25 a share is 24%, and the probability it will fall to $2 a share is 76%. What is the expected value of the investor's profit from buying the stock?
A: $13,560
B: $9,120
C: $6,720
D: $2,280
Answers
write in standard form 5.2-0.5x=1.9y
Answers
Answer:
5.2 = 0.5x + 1.9y
Step-by-step explanation:
In this case "standard form" signifies an equation resembling Ax + By = C.
Adding 0.5x to both sides results in 5.2-0.5x + 0.5x = 1.9y + 0.5x, or
5.2 = 0.5x + 1.9y, which is in "standard form."
Helpp!!! How do I get the answer for ???????!?!!
Answers
6(8+6)= 7(7+y)
6(14)= 49+7y
84=49+7y
35=7y
Y=5
Determine the number of acute, obtuse, and right angles in the shape
Answers
Answer:
Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
hope it helps
please mark Brainliest
A certain island contains 540 cats and 675 dogs. What is the ratio of cats to dogs on this island?
Answers
Answer:
4 : 5
Step-by-step explanation:
every 4 cats there are 5 dogs
The ratio of cats to dogs is 4 : 5
The ratio of cats to dogs is:
Number of cats : Number of dogs
540 : 675
Now you take them down to their lowest terms by dividing both numbers by their highest common factor.
The highest common factor of 540 and 675 is 135 so divide both sides by 135:
540 / 135 : 675 / 135
4 : 5
The ratio of cats to dogs is therefore 4 : 5.
Find out more at https://brainly.com/question/20288869.
Which has a larger area? A triangle with a base of 15ft and a height of 25
feet, or a square with sides of 14ft *
Triangle
Square
They both have the same area.
Answers
Answer:
Square
Step-by-step explanation:
Area of triangle = 1/2 * b * h
= 1/2 * 15 * 25
= 187.5 ft²
Area of square = side * side
= 14 * 14
= 196 ft²
Comparing both areas, it is clear that square have a larger area.
The boiling point of jet fuel is 329 Fahrenheit round to the nearest degree what is the temperature in degrees Celsius use the formula 9/ 5 Celsius +32
Answers
Answer:
The temperature in degrees Celsius is 165
Step-by-step explanation:
As given
The conversion formula of Fahrenheit to Celsius is
(°F − 32) × 5/9 = °C
Where
F = temperature in Fahrenheit
Substituting the given values, we get -
[tex](329 -32)*\frac{5}{9} \\297 * \frac{5}{9}\\33*5\\165[/tex]
The temperature in degrees Celsius is 165
Using f(x) =8x^2 and g(x) = 2x +8
Find f(g(x))
Answers
Answer:
32x²+256x+512
Step-by-step explanation:
f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512
what is four minus one, all raised to five-minus-two power
Answers
Answer:
3 to the power of 3. Answer : 27.
this is the equation right: (4-1) ^ 5-2
Step-by-step explanation:
ASAP please!!!!!!!!!
Answers
Answer:
1. 49 students
2. 31 students
3. 40 students
4. 18/49 (37%)
5. 37/49 (75%)
6. 5/49 (10%) (unless its ONLY skiing and ice skating)
Step-by-step explanation:
The perimeter of a rectangular concrete patio is 46 meters. The patio is 13 meters long. How
wide is it?
Answers
Answer:
10 meters wide
Step-by-step explanation:
Perimeter = (2L + 2W)
(2(13) + 2W) = 46 - 26 = 2(W)
20 = 2W
20/ 2 = 10
w = 10
There are 4 cones with a height of 18 meters. The Radius of the Cones: Cone 1: 1 Cone 2: 2 Cone 3: 3 Cone 4: 4 What's the volume of each cone? Express your answer in terms of pi.
Answers
Answer:
6π
24π
54π
96π
Step-by-step explanation:
Cone 1:
Height, h= 18 meters
Radius, r = 1
Volume of cone 1 = πr²h/3
= (π * 1² * 18)/3
= (π * 1 * 18)/3
= 18π/3
= 6π
Cone 2:
Height, h= 18 meters
Radius, r = 2
Volume of cone 2 = πr²h/3
= (π * 2² * 18)/3
= (π * 4 * 18)/3
= 72π/3
= 24π
Cone 3:
Height, h= 18 meters
Radius, r = 3
Volume of cone 3 = πr²h/3
= (π * 3² * 18)/3
= (π * 9 * 18)/3
= 162π/3
= 54π
Cone 4:
Height, h= 18 meters
Radius, r = 4
Volume of cone 4 = πr²h/3
= (π * 4² * 18)/3
= (π * 16 * 18)/3
= 288π/3
= 96π
PLEASE HELP I DONT KNOW HOW TO DO ANY OF THIS
NO LINKS
Answers
Answer:
(3, 1) and (6, -2)
Step-by-step explanation:
Just look at the interceptions
Answer:
(3,1) and (6,-2)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
They intersect at the points
(3,1) and (6,-2)
Help Please!
A block of cheese measures 8cm by 6cm by 4cm. A cubical piece of side 2cm is cut off from it.
(a) What volume of the cheese is left?
(b) The piece left is cut into 12 equal pieces. What is the volume of each of these 12 pieces?
Answers
Answer:
a) 184cm³ b) 15.3cm³
Step-by-step explanation:
A) Vol. of block of cheese= L×B×H= 8cm×4cm×6cm= 192cm³
Piece of cheese cut out= S×S×S= 2cm×2cm×2cm= 8cm³
Remainder= 192cm³ - 8cm³ = 184cm³
B) Remainder = 184cm³ is cut into 12 equal pieces
Each pieces = 184cm³ ÷ 12 = 15.3cm³
find the value of x pls help
Answers
Answer:
Step-by-step explanation:
I think it is 72
Please help this is so important I will give brainliest
Answers
Answer:
A. 50, 48, 14.
Step-by-step explanation:
The measurements of a right triangle have to satisfy the Pythagorean Theorem, or a² + b² = c².
a² + b² = c²
14² + 48² = 50²
196 + 2304 = 2500
2500 = 2500
So the first answer, 50, 48, 14, could be the measurements of a right triangle.
Find the elapsed time.
from 8:32 A.M. to 1:59 P.M.
Answers
Answer:
easily look it up on the internet
Answer:
5 hours and 27 min
Step-by-step explanation:
which of the following are exterior angles? Check all that apply