Answer: 102.9m
Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.
a ferris wheel rotates 9pi/8 radians prior to making a stop the total height of the ferris wheel is 246 ft how far around did the ferris wheel travel round to the nearest whole foot
Answer:
ferris wheel travel approx = 434.72 ft
Step-by-step explanation:
given data
wheel rotates = 9pi/8 radians
total height of the ferris wheel = 246 ft
solution
we can say here that height of the ferris wheel is same as the diameter of the wheel
and wheel is circular in shape
so we get here first radius of wheel that is
radius = half of diameter ..........................1
put here value and we get
radius = 0.5 × 246
radius = 123 ft
and
wheel travel distance = length of arc by a angle of wheel rotates
so here length of arc will be
arc length = radius × wheel rotates angle .....................2
put here value and we get
arc length = 123 × [tex]\frac{9\pi }{8}[/tex]
arc length = 434.7178 ft
so ferris wheel travel approx = 434.72 ft
Prove algebraically that (image). Trigonometric Identities. Please help.
Answer:
Step-by-step explanation:
x - y = 3
a. work out the value of 5(x-y)
b. work out the value of 2x - 2y
c. work out the value of y - x
will give brainliest !
Please help it's due at 2:45!!!!!!!!
Answer:
5 (x-y)=15
2x-2y=6 and
y-x=-3
Step-by-step explanation:
first x-y=3, so you substitute x by y or y by X. anyway I substituted x by y. so x=y+3.
a. 5(x-y)
5[(y+3)-y] (first you substitute x by y+3.)
5 [y+3-y] ( then you remove the bracket.)
5[y-y+3] ( you collect like terms in the bracket.)
5 [3] (-y+y=0) so it means 5×3=15.
b. 2x-2y (like before you substitute x by y+3.)
2 (y+3)-2y
2y+6-2y (then you remove the bracket.)
2y-2y+6 (you collect like terms)
0+6=6. (because 2y-2y=0)
c. y-x
y-(y+3) ( you substitute x by y+3.)
y-y-3 (you remove the bracket)
0-3=-3 (because y-y=0)
If you want to buy an item in a store that cost $43 and is on sale for 40% off, then how much would the item actually cost you after the discount ? round to the nearest cent
Answer:
$25.80
Step-by-step explanation:
40% = 40/ 100 = 4/10 = 0,4
There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!
So you need to subtract the 40%, so (1 - 0.4 =) 0.6
The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).
The amount the item actually cost after the discount is $25.80
what is the change of base formula
This is the formula you are looking for Logb x = Loga x/Loga b
explain how you found the equation that represents aunt andreas decorating plans from the table
Answer:
Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.!!!!!!!!!
licze jako najlepsza odpoiedz!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
Sample Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.
Step-by-step explanation:
I need help with this asap please!!!
Answer:
54
Step-by-step explanation:
54x
A triangle has vertices at A(-2,4), B(-2,8), and C(6,4). If A’ has coordinates of (-0.25,0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply
Answer:
Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.
-----
x-coordinate of B is -2, y-coordinate of B is 8
x-coordinate of B'
y-coordinate of B'
So
-----
x-coordinate of C is 6 and y-coordinate of C is 4
x-coordinate of C'
y-coordinate of C'
So
Conclusion:
The below are the TRUE statements:
(i) The coordinates of C' are (0.75, 0.5)
(ii) The scale factor is 1/8
(iii) The coordinates of B' are (–0.25, 1).
Read more on Brainly.com - https://brainly.com/question/10679054#readmore
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i got it correct
Aston left his house and ran 4 miles East and then 3 miles north. He then took the diagonal path back home. If he burned 105 calories every mile that he ran, how many total calories did burn on his run
Answer:
he do be running tho
Answer:
He burned a total of 735 calories.
Step-by-step explanation:
4 miles + 3 miles = 7 miles
105 calories/1 mile = 7 miles/ ? calories
105 calories times 7= 735 calories
What is the length of the altitude of the equilateral triangle below?
Answer:
D 5sqrt(3)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base
a^2+b^2 = c^2
5^2 + a^2 = 10^2
25+a^2 = 100
a^2 =100-25
a^2 = 75
Taking the square root of each side
a = sqrt(75)
a = sqrt(25)sqrt(3)
a = 5sqrt(3)
Answer:
Step-by-step explanation:
D
the graph shows the function f(x)=2^x what is the value of x when f(x)=4
Answer:
2
Step-by-step explanation:
Fred's birthday party will be in a room at the community center. The room can hold 75 people. He wants to use tables that seat 5 people each. Which inequality can be used to find the maximum number of tables, t, that Fred can use?
Answer:
75>5t
Step-by-step explanation:
Here is the information given:
75 is the maximum
5 per table
t is table
So, 75 is greater than or equal to the number of tables.
If 5 is the max seated at a table we know that it will be 5 people per table or 5t
Which gives us 75>5t
Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.
Hope this helps!
Miki tosses a coin 50 times, and the coin shows tails 28 times.
What is the experimental probability of Miki getting tails?
Answer:
28/50, or 56 percent.
Step-by-step explanation:
Divide the number of events (in this case it's tails) by the number of possible outcomes. This means to divide 28 by 50. Your answer will be 0.56. As a percent, this is 56 percent, which is the probability of the coin landing on tails.
What is the product? 2y/y-13 * 4y-12/2y+6
Answer:
[tex]=\frac{4y}{y+3}[/tex]
Step-by-step explanation:
[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]
Answer:
12/6
Step-by-step explanation:
A rectangular prism has a length of 4.5 cm, a width of
10 cm, and a height of 2.5 cm. What is the volume of
the prism?
11.25 cm
17 cm
112.5 cm3
1,125 cm3
2.5 cm
10 cm
4.5 cm
Answer:112.5
Step-by-step explanation: multiply then all together length then width them height
Answer:
112.5
Step-by-step explanation:
i did the assignment
Fiona found 47 pens for $3.00 . Please help Fiona by figuring out the ratio. (round to 2 decimal places)
Answer:
0.06
Step-by-step explanation:
3/47
Answer
$15.67
trust me I think this is it with the info I have got.
info=information true fact
Only do question 8
50 points
Topic: Percentage
Answer:
see below
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
O model the problem containing an unknown number, translate the statement into an equation. Sixteen is five less than a number. Which steps would you take to translate the statement? Replace "is" with =, "less than" with –, and "a number" with n to get 16 = 5 – n. Replace "is" with =, "less than" with +, and "a number" with n to get 16 = n + 5. Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5. Replace "is" with =, "less than" with ÷, and "a number" with n to get 16 = 5 ÷ n.
Answer:
Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5
Step-by-step explanation:
Hi, to answer this question we have to analyze the statement given and write an equation:
Sixteen is five less than a number
So, the number sixteen (16) is (=) five less (-5) than a number (n).
We have to subtract 5 to a number (x) and that expression must be equal to 16.
Mathematically speaking:
16= n-5
So, the correct option is:
Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5
Feel free to ask for more if needed or if you did not understand something.
Answer:
C :)
Step-by-step explanation:
before you go, don't forget to smile:)
Grayson is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $130. Grayson will be earning a base salary of $58 per month from the gym, plus an additional $12 for every class he teaches. If Grayson teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How much will Grayson's expenses and earnings be? How many classes will that take?
Answer:
If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.
Step-by-step explanation:
Please Help Me i'll give you all my points
A survey of your friends find that 11 own a dog, 12 own a cat, and 7 have no pet. Find the experimental probability that the next person you ask will be a cat owner.
Answer:
40% chance or probability
Step-by-step explanation:
30 people total 12 have had a cat, convert into fraction, 6/15, convert into a percent and you get 40%
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statement is true?
Answer:
Step-by-step explanation:
Which statements are true? Check all that apply.
The total possible outcomes can be found using 52C5.
The total possible outcomes can be found using 52P5.
The probability of choosing two diamonds and three hearts is 0.089.
The probability of choosing five spades is roughly 0.05
The probability of choosing five clubs is roughly 0.0005.
Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.
The probability of choosing two diamonds and three hearts = [tex]\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086[/tex] so the third one is not true.
The probability of choosing five spades = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005. The fourth statement is not true
The probability of choosing five clubs = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005, the fifth one is.
So the answer is the first and fifth statement.
The probability of selecting a combination of cards is given by the ratio of
the ways of selecting the cards to the number of possible outcomes.
The true statements are;
The total number possible outcomes is ₅₂C₅.The probability of choosing five clubs is roughly 0.0005.Reasons:
First statement;
Number of cards in the deck of playing cards = 52
The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;
[tex]\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960[/tex]
Therefore;
The statement; the total number possible outcomes is ₅₂C₅ is trueThird statement;
The number of ways of choosing two diamonds is found as follows;
[tex]\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78[/tex]
The number of ways of choosing three hearts is found as follows;
[tex]\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286[/tex]
The number of ways of choosing two diamonds and three hearts is found as follows;
[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858[/tex]
Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089
[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089[/tex]
Fourth statement;
[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]
Therefore;
[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05[/tex]
Fifth statement;
[tex]\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]
Therefore;
The statement, the probability of choosing five clubs is roughly 0.0005 is true.The possible question options in the question are;
The total possible outcomes is given by ₅₂C₅
The total possible outcomes is given by ₅₂P₅
Probability of choosing 3 hearts and 2 diamonds is 0.089
The likelihood of choosing 5 spades is approximately 0.05
The likelihood of choosing 5 clubs is approximately 0.0005
Learn more about combinations and probability here:
https://brainly.com/question/25718474
Carol is solving the inequality 3
have?
There are infinitely many solutions.
There are only two solutions.
There is only one solution.
There are no solutions.
Answer:
There are infinitely many solutions
Step-by-step explanation:
Firstly, I need to change f to x as the system won’t accept the word f
Let’s take a look at the question;
3 is less than x
The domain of our answer lies in the the range of values where we have numbers that are greater than 3
This means we can rewrite our inequality as x is greater than 3
Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end
This makes us have infinitely many solutions for the value of x
Math lovers i need your help
Part (i)
Compute the slope of the line through the two points (0,0) and (4,8)
m = (y2 - y1)/(x2 - x1)
m = (8-0)/(4-0)
m = 8/4
m = 2
The slope of this line is 2, so,
velocity = 2 m/s==============================================
Part (ii)
The two points we're working with are (4,8) and (6,8). The slope is...
m = (y2 - y1)/(x2 - x1)
m = (8-8)/(6-4)
m = 0/2
m = 0
Horizontal lines always have a slope of 0 to indicate no change in height.
The velocity is 0 m/s.==============================================
Part (iii)
Same idea as the previous parts. The endpoints are (6,8) and (9,14)
m = (y2 - y1)/(x2 - x1)
m = (14-8)/(9-6)
m = 6/3
m = 2
This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.
velocity = 2 m/s==============================================
Part (iv)
(a) The average velocity from 0 to 4 seconds is the exact same as the velocity we computed earlier in part (i). The answer is 2 m/s(b) We travel 8 meters in 6 seconds, so the average velocity is 8/6 = 4/3 = 1.33 m/s approximately. You can use the slope formula for the endpoints (0,0) and (6,8) to get the same result.(c) The average velocity is 14/9 = 1.56 m/s approximately because we travel 14 meters in 9 seconds. You can use the slope formula for the endpoints (0,0) and (9,14).As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.
Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate height of the figure when its area is 12.25π square centimeters.
Answer:
The height is 3.43 centimeters, approximately.Step-by-step explanation:
Notice that there are 16 pieces from the circle, which means each sector has an angle of
[tex]\theta = \frac{360\°}{16}=22.5\°[/tex]
Where all sectors have equal area.
Now, the area of the whole circle is [tex]12.25 \pi \ cm^{2}[/tex], if we use the formula of its area, we'll find the radius of the circle
[tex]A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5[/tex]
Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.
To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.
[tex]cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43[/tex]
Therefore, the height is 3.43 centimeters, approximately.
what is char antonym?
Answer:
Antonyms. achromatic exhale spiny-finned fish extinguish hypopigmentation. Etymology.
Step-by-step explanation:
none but google
Answer:
If you mean char = a charred substance then you could have cool, extinguish, put out, smother, stifle or subdue.
Step-by-step explanation:
Google... everything's google
The length, l, of a rectangle is 3 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. Which inequalityshows the range of possible lengths of the rectangle?
Answer:
l >= 9 and w >= 6
Step-by-step explanation:
The perimeter of the rectangle can be found by:
→ Perimeter = (2 x length) + (2 x width) (1)
Since the length is 3 inches greater than the width:
→ l = w + 3
Also, the perimeter is at least 30 inches
If you substitute the values in the equation 1:
→ (2 x l) + (2 x w) >= 30
→ (2 x (w + 3)) + (2 x w) >= 30
→ 2 x w + 6 + (2 x w) >= 30
→ 4 x w >= 24
→ w >= 6
Since l = w + 3, l >= 9
can Julie win if she reads 8 books
Answer:
Yes, she can.
Step-by-step explanation:
12 < 5+8
Answer:
Step-by-step explanation:
No, she can't
Julie can't win because she has to read more than Emad so she has to read 13 books but she reads 8 books so she can't win
I hope it'll help you much
Thank you for asking
To solve for 10t = -30 + 5t, first subtract ?
from both sides.
Answer:
-6
Step-by-step explanation:
10t = -30 + 5t, Inverse operations
'5t -5t. Subtract 5t from both sides
5t = -30. Divide by 5 both sides
/5. /5
t = -6
the ratio of boys to girls in a class is 7:5 there are36
students in the class how many students are girls
Answer:
There are 15 girls
Step-by-step explanation:
Look at the picture
Correct answer only please!
To the nearest cent, how much will she have in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Work Shown:
B = p*(1+r)^t
B = 4530*(1+0.11)^5
B = 7,633.313442603 approximately
B = 7633.31 round to the nearest cent