Answer:
The athlete's tangential velocity is 0.88 m/s.
Step-by-step explanation:
We have that the athlete completes 4 laps around a track with a radius of 25 meters in 12 minutes:
[tex] \omega = \frac{\theta}{t} [/tex]
Where:
ω: is the angular speed
θ: is the angular displacement
t: is the time = 12 min = 720 s
The angular displacement is:
[tex] \theta = 4 rev*\frac{2\pi rad}{1 rev} = 25.13 rad [/tex]
Now, the angular speed is:
[tex] \omega = \frac{\theta}{t} = \frac{25.13 rad}{720 s} = 0.035 rad/s [/tex]
Finally, the athlete's tangential velocity is:
[tex] v = \omega r = 0.035 rad/s*25 m = 0.88 m/s [/tex]
Therefore, the athlete's tangential velocity is 0.88 m/s.
I hope it helps you!
is this correct? only answer if you are positive!
(a^4)(a5) = (a)9
O A. True
O B. False
Answer:
true
a^4.a^5=a^9
base same then power should be added
a^4+5
a^9
Will give brainiest! Please help!
A study found that 27% of the fish in a river are trout, 36% are salmon, and 18% are sturgeon. If a large fish trap is set and it captures 200, what is the ratio of salmon to total fish, in lowest terms
Answer:
The ratio of salmon to total fish caught is 9 over 25.
Step-by-step explanation:
Start with what we know. We have 200 total fish caught and 36% are salmon. The rest is just mumble jumble so don't pay attention to that.
All we have to do is find 36% of 200, and the easiest way to do that is by first knowing that 36% of 100 is 36 so if we double that it will give us 36% of 200.
36 x 2 = 72
So, the ratio of salmon to total fish caught is 72 over 200. But, in simplest form is 9 over 25 because 72/200 divided by 4/4 = 9/25.
Hope this helps! If you have any additional questions please don't hesitate tp ask me or your teacher to be sure you really master this subject. Stay safe and please mark brainliest!
Thank you! I appreciate it you can help!
Answer:
option A
Step-by-step explanation:
2xy+y-3xy whats the answer??
Answer:
-xy+y
Step-by-step explanation:
=2xy-3xy+y
=-xy+y
Answer: The answer is 16y I think
Step-by-step explanation:
Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
[tex] \overline{NM} = 20 [/tex]
[tex] \overline{MK} = 15 [/tex]
[tex] \overline{KN} = 25 [/tex]
[tex] \overline{TR} = 3x - 1 [/tex]
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:
[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]
c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:
[tex] \overline{TR} = \overline{NM} [/tex]
[tex] 3x - 1 = 20 [/tex] (substitution)
Add 1 to both sides
[tex] 3x = 20 + 1 [/tex]
[tex] 3x = 21 [/tex]
Divide both sides by 3
[tex] x = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]
Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
[tex] Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]
[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]
[tex] Lk = \sqrt{9 + 16} [/tex]
[tex] Lk = \sqrt{25} [/tex]
[tex] Lk = 5 [/tex]
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
[tex] LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]
[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]
[tex] LM = \sqrt{25 + 9} [/tex]
[tex] LM = \sqrt{34} [/tex]
[tex] LM = 5.8 [/tex] (nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
f(x) = -2(x - 1)(x + 3)
Which of the following equations represents a line that passes through the points (−6,0) and (2,−4)
Answer: only 2 (y = -1/2x - 3)
Step-by-step explanation: so first find the gradient by doing y minus x and dividing
-4-0/2--6 which equals -1/2 so you know that -1/2 is your gradient. 2 is the only one with a gradient of -1/2x.
Hope this made sense. If not I'll explain again
the scale of a map says that 6cm represents 15 km. what distance on the map represents an actual distance of 6 kilometres
Answer:
2.4 cm
Step-by-step explanation:
[tex] \frac{6}{15} = \frac{x}{6} \\ \\ 15x = 6 \times 6 \\ \\ 15x = 36 \\ \\ x = \frac{36}{15} \\ \\ x = 2.4[/tex]
The diagram below represents which percent?
An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%
Answer:
32 percent
Step-by-step explanation:
32 plus 68 =100
32 divided by 100 equals .32 or 32 percent
Answer:
Your answer is C, 32%
Step-by-step explanation:
It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.
The meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50. If Jenna deducts this amount from the total, how much will each of the other people pay for their meal?
Answer: $12.61
Step-by-step explanation:
Given : Total cost of meal for 5 people = $52.95
Jenna ordered a dessert for $2.50.
Total cost other 4 need to pay = $ (52.95- 2.50) = $ 50.45
Now , each person will pay [tex]=\$\dfrac{50.45}{4}\approx \$12.61[/tex]
Hence, each of the other person need to pay $12.61 .
0.5 in simplest form
Answer:
all e
3 works hope it helped
i need to know 2 divided by 9/10
Answer:
2 2/9
Step-by-step explanation:
2 divided by 9/10 = 2/1 / 9/10
2/1 x 10/9 = 20/9 = 2 2/9 or 2.222..
What’s the square root of 64
Answer:
The square root of 64 is 8
8 x 8 = 64
Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in slope-intercept form, if possible.
Answer: [tex]y=-\dfrac67x-\dfrac{34}{7}[/tex]
Step-by-step explanation:
Slope-intercept form: y=mx+c (i) , of linear equations, m= slope and c= y-intercept of the line.
6x+7y=13in slope intercept form would be :
[tex]7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}[/tex]
Comparing to (i) , [tex]m = \dfrac{-6}{7}[/tex]
Slope of parallel lines are equal.
So, slope of required line = [tex]m = \dfrac{-6}{7}[/tex]
Equation of line with slope m and passes through point : [tex](y-b)=m(x-a)[/tex]
So, equation of required line:
[tex](y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}[/tex]
A movie rental store charges a $6 membership fee plus $2.50 for each movie rented. What are the slope and y-intercept that represent the total cost?
There searched up please be correct
Answer:
domain (x) is equal to or greater than 0 and range is equal to or greater than 6. for the graph.
Step-by-step explanation:
Pls don't judge me if this is wrong
WHO EVER HELP ME I WILL GIVE THEM BARINLEST
This is quite simple. Toby ran 5 units, and it says Kate ran 4 times Toby ran meaning the person ran [tex]4 * 5[/tex] so 20 units. Then it says Jim ran 3 times the units Kate ran. Meaning it would be [tex]3 * 20[/tex] which is 60 units. Hence Jim ran 60 units or 60 miles. :D
For the following pairs of equations explain why the equations are equivalent. (or NOT!) 16=4(9-x) 16=36-4x
so we have 16=4(9-x) we calculate this equation
16=(4*9)_x*4
so 16=36-4x
wich means these 2 equations are equivalent
solve for b and simplify 12=5/2b
Answer:
b = 24/5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
12 = 5/2b
Step 2: Solve for b
Rewrite: 5/2b = 12Divide both sides by 5/2: b = 24/5Step 3: Check
Plug in b to verify it's a solution.
Substitute: 12 = 5/2(24/5)Multiply: 12 = 12Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Step-by-step explanation:
hope this helps, sorry if late
A cereal company made a batch of 714 ounces of cereal. If they put it in 18-ounce boxes, how many boxes would the batch fill?
Answer:
About 40 (Accurate answer would be 39.7 or 39.666666)
Step-by-step explanation:
714/18 = 39.666666
Answer:
wait look it up on google
Step-by-step explanation:
Hugo sells handmade key chains online. Yesterday, he made 6 keychains in 30 minutes. Hugo wants to make 9 keychains today. If Hugo works at the same rate today, how long will it take him to make the keychains?
Answer:
45 minutes.
Step-by-step explanation:
Yesterday, he made 6 keychains in 30 minutes.
Hugo wants to make 9 keychains today. We need to find how long will it take him to make the keychains.
6 keychains = 30 minutes
1 keychains = (30/6) minutes
For 9 keychains,
[tex]9\ \text{keychains}=\dfrac{30}{6}\times 9\\\\=45\ \text{minutes}[/tex]
So, to make 9 keychains, it will take 45 minutes.
find the value of x. then find the angle measures of the polygon
50 points brainliest answer
Answer: x = 160
Step-by-step explanation:
540 = 100+(x-25)+(x-15)+(1/2)x+(1/2)x
540= 100-40+3x = 60+3x
480 = 3x
x = 160
Answer:
0.5x + 0.5x + (x-25) + (x-15) + 100 = 540
x + x - 25 + x - 15 + 100 = 540
3x + 60 = 540
3x = 540 - 60
3x = 480
x = 480/3
x = 160
I need help on this question
Answer:
5 square feet
Step-by-step explanation:
First, you need to convert the inches into feet
24: 2
30: 2.5
2*2.5= 5
So it is 5square feet
7f + 15 - 2g the answer?
4g=24
Step-by-step explanation:
r
–4=-3+
+
10
Answer?
Answer:
r = 11
Step-by-step explanation:
Is the question
r - 4 = - 3 + 10
So what's r
r - 4 = -3 + 10 Combine the right
r - 4 = 7 Add 4 to both sides
r - 4 + 4 = 7 + 4
r = 11
the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^
Use the formula P = 2a+ b.
Let a = 12
Let b = 8
P = 2(12) + 8
P = 24 + 8
P = 32
a rectangular garden has a perimeter of 48 feet. If the width of the garden is 2 feet less than the length, what are the dimensions of the garden?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Width =x-2
Length=x
Perimeter =48
Perimeter =x*(x-2)
Substitute: 48=x*(x-2)
Simplify: 48=x^2-2x
x=48/2=24
Patrick walks 0.78 mile each day. A. How far will he walk in all if he walks this distance each day for 14 days? B. How could you use either multiplication or addition to solve this problem?
Kamila buys a dress for £30 in a sale. It was advertised "25%off". Kamila says"25% of £30 is £7.50 so i saved £7.50". Explain why is wrong ,and show that she has actually saved £10.
Answer:
She was wrong in her analysis because the sales discount of 25% is the discount on the original cost of the dress and not the purchasing cost of the dress as explained below:
Step-by-step explanation:
From the question:
Purchasing cost price of the dress = £30
However, this cost (£30) was after a 25% Sales Discount
It, therefore, implies that £30 is equal to 75% of the cost price
75% of the original cost price = £30
100% of the original cost price = (30 x100%)/75%
Original cost price = £40
Therefore the 25% discount / savings on the cost
= £ (40-30)
= £10
She saved £10 by buying the dress at £30 instead of the original cost of £40
