The length of the 135˚ arc below is 15/4 π. Find the radius of the circle. Please explain the answer.
Answer:
The radius of the arc is 5
Step-by-step explanation:
An arc is a part of the circumference of a circle that has been cut out. It can be best understood as an incomplete circle. The length of the arc is how long the arc is.
The formula relating how long the arc is with its radius is
length of arc = [tex]\frac{\theta}{360} \times 2 \pi R[/tex]
where R is the radius we are looking for.
Θ = 135 which can be seen as the arc angle
[tex]R =\frac{l \times 360}{\theta \times 2 \pi} =\frac{(15 \pi /4) \times 360 }{135 \times 2 \pi}=5[/tex]
The radius of the arc = 5
What is 3 x 4t when it’s simplify
Latisha purchased a pair of jeans for $35. She had a 10% off coupon. How much was the discount? She had to pay 7% sales tax. What was her final price for the jeans?
Answer:
$33.95
Step-by-step explanation:
35*10%=3.5
35*7%=2.45
35-3.5=32.5
32.5+2.45=33.95
simplify the following
a) 5(3a - 45
b) 4(a + 2b - 1
Step-by-step explanation:
I hope that is useful for you :)
Plz help.............
Answer:
75 ft
Step-by-step explanation:
10 * 6 = 60
1/2 * 6 * 5 = 15
60 + 15 = 75 ft
can i please have help on this q thank you
Answer:
20
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
[tex]\frac{x}{4}-1=4[/tex] {Add 1 to both sides}
+ 1 = +1
[tex]\frac{x}{4}[/tex] = 5 {Multiply both sides by 4}
[tex]\frac{x}{4}*4=5*4\\\\[/tex]
x = 20
A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag
Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
If one side of a cube has
an area of 25 inches
squared, what is the
volume of this cube?
A=6a2
V=a3
Solving forV
V=6A3/2
36=6·253/2
36≈8.50517
v is approx. 8.51
hope it helps =) ♥
HELP ME PLEASE!!! I NEED HELP!
For the whole numbers:
24
26
23
25
21
46
63
57
75
91
1. 24 and 23.8
2. 26 and 25.7
3. 23 and 22.8
4. 25 and 24.8
5. 21 and 20.9
6. 46 and 46.3
7. 64 and 63.7
8. 56 and 56.5
9. 75 and 74.6
10. 91 and 90.7
When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.
If you have any further question, please reach out to me :)
Emily is pushing a toy sand truck. She realizes it is much harder to push the truck when it is full of sand than when it is empty. What is the reason for this?
Answer:
I think it's because an object with a greater mass requires a smaller force to accelerate.
Answer:
An object with a greater mass requires a greater force to accelerate.
Step-by-step explanation:
If anyone could help me with this question that would be great
Answer:
5/3
Step-by-step explanation:
image/pre-image
15/9 simplified is equal to 5/3 which is the scale factor
Mrs.Tampo has 17 students in her class last year and this year she had 25 students in math class what is the percent of change
Answer:
32% decrease
Step-by-step explanation:
Solution:
Calculate percentage change
from V1 = 25 to V2 = 17
so:
Answer: 800/17=47% :-)
my math teacher Is helping me.
Write the sum as a product.
sin(x)-sin(4x)
Step-by-step explanation:
Given
sin(x) - sin(4x)
= 2 cos (( x + 4x)/2) * sin ( ( x - 4x) / 2))
= 2 cos 5x/2 • sin -3x / 2
= - 2 cos 5x/2 • sin 3x/2
Hope it helps :)❤
The sum sin(x) - sin(4x) can be written as a product as 2 sin (5x/2) cos (3x/2).
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
We have the trigonometric formula that,
sin A - sin B = 2 sin ([tex]\frac{A+B}{2}[/tex]) cos ([tex]\frac{A-B}{2}[/tex])
Here the sum is, sin(x) - sin(4x) where A = x and B = 4x.
sin(x) - sin(4x) = 2 sin ((x+4x)/2) cos ((x-4x)/2)
= 2 sin (5x/2) cos (-3x/2)
We also have, cos(-x) = cos(x).
So, sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2)
Hence the product form is sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2).
Learn more about Trigonometric Formulas here :
https://brainly.com/question/30661967
#SPJ2
you need to answer A and B!!! PLEASE HELP
Answer:
13x+14
Step-by-step explanation:
because the original equation would be 5x(2)+3x+7(2) simplified would be 13x+14
4. An expression is shown.
4x106
2x 102
Write an equivalent expression in scientific notation.
x 10
Answer:
Step-by-step explanation:
The simplest way to do this is to break in into parts
2 * 4 = 810^6 * 10^2 = 10^8 Notice that when you multiply base 10 powers, you add the powers. That's the key to scientific notation.When you combine these two you get 8 * 10^8
Triangle ABC is similar to triangle XYZ solve for t?
Answer:
t = 6.5
Step-by-step explanation:
This is a Khan question
8 star fruit cost $16. How many star fruit can you buy for $8?
Answer:
you can buy 4 star fruit
Step-by-step explanation:
All it is , is subtraction half of 8 is 4 and half of 16 is 8
hi hi hi hi hi help help help help
Answer:
rate
Step-by-step explanation:
r(t)=d
r=d/t
r=miles/hour=mph
r=12
Answer: I THINK it’s d
Step-by-step explanation:
in a game, players must roll a number cube. the faces of the cube are numbered from 1 to 6. for the player to win a prize, the number cube must land with the top showing the number 3. what is The probability of the complement of this event occurring?
answers: 3/6
6/5
1/6
5/6
If f(x) = 2x + 1 then f(3)=
Answer:
f(3)=7
Step-by-step explanation:
just plug in the number
f(3)=2×3+1
=7
1/2x+4=20 solve for x.. Help?
Answer: 32
Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps
Answer: x=32
Step-by-step explanation:
1/2x+4=20
-4 -4
1/2x=16
Multiply by 1/2 on each side
x=32
Which expression is equivalent to 4a+2b
A.a+a+a+a+b+b
B. 4+2+a+b
C.6(a+b)
D.4+a x 2+b
Answer:
Answer is A
Step-by-step explanation:
a+a+a+a+b+b =4a+2b
Write in quadratic form
f(x)=(x+2)^2
Someone plz help me giving brainliest
Answer:
13/20
Step-by-step explanation:
Add up all the hours and then subtract by the total hours given.
Complete the function table.
Answer:
There is no function table
Answer:i don't see the table cos
Step-by-step explanation:
If two angle measurements are 53° and 70,° what must the third angle measurement equal to form a triangle?
Answer:
Step-by-step explanation:
All triangles without exception, have 180 degrees.
x + 53 + 70 = 180 Add the left
x + 123 = 180 Subtract 123 from both sides.
x + 123 - 123 = 180 - `123 Combine.
x = 57
drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]
[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]
[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]
[tex]b=4.0187...[/tex]
[tex]b=4.0 m[/tex]
Now, we can use the Law of Cosines to figure out one of the acute angles:
[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]
[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]
[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]
[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]
[tex]C=39.3915...[/tex]
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
3*3*3*3= 81 is an example of ___
Exponential form
Standard form
Expanded form
Slope-intercept form
Answer:
expanded I believe or the first one good luck
Mrs. Babin put a border around a 5-foot by 6-foot rectangular bulletin board. How
many feet of border did Mrs. Babin use?
Answer:
30 ft squared of border
Step-by-step explanation:
You need to find the area in order to find out how many feet she used. Length x Width = Area
5x6=30 ft squared
Answer:
30 ft
Step-by-step explanation:
su
Is 0.3 greater than 0.09
Answer:
Yes, because 9 is in the hundreths place and 3 is in the tenths
Step-by-step explanation:
Answer:
Step-by-step explanation:
no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater