The Ferris wheel at a state fair has a radius of 60 feet,
rotates at a constant speed, and completes 1 rotation in
4 minutes. How many degrees does the Ferris wheel
rotate in 30 seconds?
A. 20°
B. 24°
C. 30°
D. 45°
E. 48°
Solve the equation on the interval [0,2pi)
The value of θ within the interval is 210 and 330 degrees
Given the equation;
[tex]2sin^2 \theta = 5sin \theta - 3[/tex]
Let P = sinθThe equation will become;
2P² = 5P - 3
2P² - 5P - 3 = 0
Factorize;
2P² - 6P + P- 3 = 0
2P(P-3) + 1(P -3) =0
2P + 1 = 0 and P - 3 = 0
p = -1/2 and 3
Since P = sinθ
sinθ = -1/2
θ = -30 degres
Since sine is negative in the second 3rd and 4th quadrant
θ = 180 + 30 = 210 degrees
θ2 = 360 - 30 = 330 degrees
Hence the value of θ within the interval is 210 and 330 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
Please help..
Solve for the area of the figure below and show work.
Answer and Step-by-step explanation:
1. We can see that this kite-shape has 4 triangles in it.
The area of a triangle is as follows:
[tex]A = \frac{bh}{2}[/tex]
Where:
b = Base (length)
h = Height
Top Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Bottom Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Top Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Bottom Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Now, we add all the areas together to get the area of the kite figure.
A = [tex]\frac{27}{2}[/tex] +
A = 27 + 12
A = 39
The area of the kite figure is 39 [tex]m^{2}[/tex].
2. We have to find the area of the trapezoid.
(I'm not sure if the 9 is for the entire bottom side length)
If the bottom side length is 9, then we would use the formula:A = [tex]\frac{a + b}{2} h[/tex]
to find the area of the entire trapezoid.
A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2
A ≈ 46.74 [tex]mi^{2}[/tex]
#teamtrees #PAW (Plant And Water)
Wyatt does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of the week for 4 weeks, about how many push-ups will he do in all?
Answer: 1,820 Pushups
Step-by-step explanation: 29+36=65
65 x 7 (days in a week)=455
455 x 4(as in the 4 weeks)=1,820 Pushups total
I hope this helped! let me know if you need more help! :)
At a party there are 90 people.
48 are women and 42 are men.
Some women leave.
Some men arrive.
The ratio of women to men is now
10:11
Are there now more than 90 people at the party?
Show working to support your answer.
Answer:
No
Step-by-step explanation:
Originally:
48:42
If some leave and some arrive = 10:11 given in question
So 48- 8 leave = 40 women
Therefore 42+2=44
Now the ratio is 40:44 (Actual amount of people)
When you simplify/ divide by 4 = 10:11
Total amount of people is 40+44= 84 which is less than 90
what value of 3x makes the equation true?
5x+3x=5x+15/2
Answer:
2.5
Step-by-step explanation:
when you 5x automatically cancels, and 7.5 / 3 is 2.5
ASAP HELP NEEDED, TAKING A TEST
Question: Based on the data set above for the hours per day sixth graders spend using an electronic device, what is the mean number of hours sixth graders use an electronic device?
No links, useless words, or anything like that. I will report you.
Answer:
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
1+1+1+1+2+3=9
2+4+4+5+6+6+7+8+8=50
50/9=5.55555555556
or
9/50=0.18
please help me!! 8th grade math, Pythagorean Theorem 19 pts!
Answer:
do 70 divded by two and that is 35. and then 15^2 (squared) + 35^2 (squared) and then whatever that equals but the square root around it and that is your answer.
Step-by-step explanation:
Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False
Answer is false
Answer:
It’s false
Step-by-step explanation:
It doesn’t need to be the same
how do i get only 50 point questions
Answer:
what?
Step-by-step explanation:
if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment
x + 2x +17=25 I need the answer and need do you know how to check if it's right
Answer:
x=8/3
Step-by-step explanation:
x+2x+17=25
3x+17=25
3x=8
x=8/3
Answer:
X = [tex]\frac{8}{3\\}[/tex]
Step-by-step explanation:
Find the volume of the figure
Answer:
384
Step-by-step explanation:
L times W times H
Doug is in line at the store. He has three items that cost $4.50, $3.05, and $1.50. Explain how Doug can add the cost of the items mentally before he pays for them.
Answer:
He can add through calculater or by doing addition in his mind
The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.
Answer: [tex]6x-5[/tex]
Step-by-step explanation:
Given
The side lengths of a triangle are [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]
Perimeter(P) is the sum of the side length of the triangle i.e.
[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]
Therefore, the perimeter of the triangle is [tex]6x-5[/tex]
Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?
Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer:
18 sharpened pencils
Step-by-step explanation:
the percent 3/5 can be multiplied by 6 to give u 18/30
Resuelve la siguiente operacion con su proceso: 3 x( 2 + 4 x 3 ) - 2 x( 3 x 2 - 2 x 2 )+ 5 - 2= Es urgente!
Answer:
41
Step-by-step explanation:
Usando BODMAS, entonces que tenemos
(2 + 4 * 3) =
(2 + 12) =
14
Con el segundo uno, tenemos
(3 * 2 - 2 * 2). Con esto, dices que
(3 * 2) - (2 * 2) =
6 - 4 =
2
Y ahora, decimos que
3 * (14) - 2(2) + 5 - 2 =
42 - 4 + 3 =
42 - 1 = 41
Nos respuesta a la pregunta es 41. Espero que tú entiendas
can someone help me
HELP ASAP PLSS (NO LINKS OR ILL REPORT)
Answer:
C is correct.
Step-by-step explanation:
I took this test.
NEED HELP ASAP!!! PLZ HELP!!!!
Answer:
45.8
Step-by-step explanation:
Devontae and three of his friends drive the Pennsylvania Turnpike from Ohio to New Jersey. If they split the $47.00 toll equally, how much does each person pay?
1. :4
32+4 x (16 x 2)-2-
37:
---
Answer
Step-by-step explanation:
mulitiply the numbers
add the numbers
rearrange the numbers
What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2
No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)
Answer:
1
Step-by-step explanation:
The larger triangle is a dilation of the smaller triangle with a center of dilation at (1,−1)
What is the scale factor of the dilation? No Links and brainlest
18
14
4
8
Answer:
Scale factor = 4
Step-by-step explanation:
Scale factor = [tex]\frac{\text{Dimension of the larger (Image) triangle}}{\text{Dimension of the smaller (Preimage) triangle}}[/tex]
From the given triangle,
Length of one side of the larger triangle = 8 units
Length of the corresponding side of the smaller triangle = 2 units
By substituting the values in the formula of scale factor,
Scale factor = [tex]\frac{8}{2}[/tex]
Scale factor = 4
Find the area.I will mark the BRAINIEST
Answer: C. 64 ft
Step-by-step explanation:
If (5^n)^3 = 5^12 then n= ?
6
Answer: n=4
Step-by-step explanation:
Uh I did some trial and error and it came up with the right answer
Please help I'll mark brainliest
Answer:
(-5,6)
Step-by-step explanation:
5(-5) +6y =11
-25 +6y = 11
6y = 36
y = 6
determine equation for line that is perpendicular to x=-2 and passes through the point (6,1)
Answer:
y = 1
Step-by-step explanation:
pls help me I have no idea what I'm doing
Answer:
3.2mm ^3
Step-by-step explanation:
First find the scale factor to get the height of the smaller figure
SF= 1/5 or 0.2
Then use the Volume equation for triangular pyramid 1/3*(base area)*(height)
Your equation should look like this:
1/3 (4)(2.4)
9.6/3
Volume= 3.2 mm ^3
Find the missing length of the
figure.
20 cm and 12 cm
Answer:
16 cm
Step-by-step explanation:
Since all sides of a square are equal
Side x can be gotten using pythagoras theorem
hypothanous² = adjacent² + opposite²[tex] {20}^{2} = \: {12}^{2} \: + \: {x}^{2} \\ 400 \: = \: 144 \: + \: {x}^{2} \\ {x}^{2} \: = \: 400 \: - \: 144 \\ {x}^{2} \: = 256 \\ x = \sqrt{256} \\ x = 16cm[/tex]Branliest For Correct answer
Please I need help
Factor Completely
a^2 - a - 20
Answer:
[tex]\left(a+4\right)\left(a-5\right)[/tex]
Step-by-step explanation:
Break the expression into groups.
=(a^2+4a)+(−5a−20)
Factor out a from a2+4a: a(a+4)
Factor out −5 from −5a−20: −5(a+4)
=a(a+4)−5(a+4)