Answer:
Allison's angular velocity is approximately π/12 radians/hour
Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour
Step-by-step explanation:
The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)
The radius of the Earth, R = 3950 miles
The rate of rotation of the Earth ≈ 2·π radians in 24 hours
The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour
The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour
Allison's angular velocity, ω ≈ π/12 radians/hour
Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles
The linear velocity, v ≈ ω × r
∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour
Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour
write the letters of the words VERY WELL on 8 cards and put them in a bag. Shuffle them well.
Do the following:
What is the probability for a v to be drawn?
What is the probability for an E to be drawn?
What is the probability for an R to be drawn?
What is the probability for a Y to be drawn?
What is the probability for a W to be drawn?
What is the probability for an L to be drawn?
Answer:
1/8
1/4
1/8
1/8
1/8
1/4
Step-by-step explanation:
Probability a letter would be picked = total number of the letter in the bag /sum of letters in the bag
1. v,r,y,w appear once. the numerator would be 1 and the denominator would be 8 = 1/8
e and l would appear twice in the bag, so the numerator would be 2 and the denominator would be 8 = 2/8 convert to its simplest form = 1/4
Considering only the values of [tex]\beta[/tex] for which [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex] is defined, which of the following expressions is equivalent to [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]?
a. [tex]\sec \beta \cot \beta[/tex]
b. [tex]\tan \beta[/tex]
c. [tex]\cot \beta \tan \beta[/tex]
d. [tex]\tan \beta \csc \beta \sec \beta[/tex]
[tex]\large\boxed{Answer:}[/tex]
We will use trigonometric identities to solve this. I will use θ (theta) for the angle.
First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.
We can replace cotθ in the expression with 1/tanθ.
[tex]sin\theta tan\theta sec\theta \frac{1}{tan\theta}[/tex]
Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1
So now, we have:
[tex]sin\theta sec\theta[/tex]
Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.
We can replace secθ with 1/cosθ in our expression.
[tex]sin\theta \frac{1}{cos\theta}[/tex]
Simplify:
[tex]\frac{sin\theta}{cos\theta}[/tex]
Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.
We can replace sinθ/cosθ with tanθ.
Now we have as our final answer:
[tex]\large\boxed{b.\ tan\theta}[/tex]
Hope this helps!
Answer:
[tex] \huge \boxed{ \boxed{ \red{b) \tan( \beta ) }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]tips and formulas:[tex] \tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) } [/tex][tex] \cot( \theta) = \dfrac{ \cos( \theta) }{ \sin( \theta) } [/tex][tex] \sec( \theta) = \dfrac{1}{ \cos( \theta) } [/tex]let's solve:[tex] \sf rewrite \: \tan( \beta ) \: as \: \dfrac{ \sin( \beta ) }{ \cos( \beta ) } : \\\sin (\beta ) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \sec (\beta ) \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \sec( \beta ) \: as \: \dfrac{1 }{ \cos( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \cot( \beta ) \: as \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) }[/tex][tex] \sf \: cancel \: sin : \\\sin (\beta) \cdot\frac{ \cancel{\sin( \beta ) }}{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \cancel{\sin( \beta ) }} \\ \sin (\beta) \cdot\frac{ 1 }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \cos( \beta ) \\ [/tex][tex] \sf cancel \: cos : \\ \sin (\beta) \cdot\frac{ 1}{ \cos( \beta ) } \cdot \frac{1}{ \cancel{ \cos( \beta )} } \cdot \: \cancel{ \cos( \beta ) } \\ \\ \sin( \beta ) \: \cdot \: \dfrac{ 1 }{ \cos( \beta ) } [/tex][tex] \sf \: simplify \: multipication : \\ \dfrac{ \sin( \beta ) }{ \cos( \beta ) } [/tex][tex] \sf use \: \frac{ \sin( \beta ) }{ \cos( \beta ) } = \tan( \beta ) \: identity : \\ \therefore \: \tan( \beta ) [/tex]what is the median of 6 8 10 12 12 15 15 20?
Answer:
I think is 12..........
Answer:
It‘s either 12 or 12.5
Step-by-step explanation:
Can someone please help me...
Answer this correctly I’ll give brainalist + 10 points
Answer:
50
Step-by-step explanation:
please brainalist
Answer:
x= 60
Step-by-step explanation:
brr 180 degrees total, divided by 3x would be 60
so X=60
18. If 4 - 5x = -3, then what is 10x - 8
Answer:
6
Step-by-step explanation:
[tex]4 - 5x = - 3 \\ \\ - 5x = - 3 - 4 \\ \\ - 5x = - 7 \\ \\ x = \frac{ - 7}{ - 5} \\ \\ x = \frac{7}{5} \\ \\ 10x - 8 \\ \\ = 10 \times \frac{7}{5} - 8 \\ \\ = 2 \times 7 - 8 \\ \\ = 14 - 8 \\ \\ = 6[/tex]
Look at the picture.
Thank u!
A rectangular table measures 1 yard by 4 yards. What is the surface area of the table
For a rectangular solid with length 14 14 cm, height 17 17 cm, and width 9 9 cm
Answer:
5 yard
Step-by-step explanation:
5
Find the value of -7 + 3(-12) ÷ (-3).
answer:
5 is the answer
Step-by-step explanation:
I don't know how I got my answer but please try
A jar contains 666 red jelly beans, 666 green jelly beans, and 666 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be green and the second will be green as well?
Answer:
666/1998 x 665/1997 = 665/5991 or 0.110999833083
What is the area of the triangle? Use the formula: Area of a triangle = 1/2bh.How do you find the area of a triangle?
9514 1404 393
Answer:
4 square inches
Step-by-step explanation:
The only triangle in the figure is 4 in wide and 2 in high. Using these values in the given formula, we find the area to be ...
A = 1/2bh
A = (1/2)(4 in)(2 in) = 4 in²
The area of the triangle is 4 square inches.
Answer:
4 sq in
Step-by-step explanation:
the height of the triangle is 2 inches 2 x 4 = 8 8/2 =4
1 3/8 equations that are true and different
Answer:
you got this
Step-by-step explanation:
chose what you think is right it works with me so it should work with you
A pizza dinner for $20 was marked down 20%. What was the new sale cost of the dinner?
Answer:
$16
Step-by-step explanation:
take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars
Need help with this question
Answer:
4 : 3
Step-by-step explanation:
QRS to VUT
[tex]\frac{QR}{RS} =\frac{VU}{UT} \\\\\frac{8}{12} =\frac{6}{x} \\\\8x=72\\x=9[/tex]
[tex]\frac{RS}{UT} =\frac{12}{9} =\frac{4}{3}[/tex]
Answer:
Step-by-step explanation:
△QRS:△VUT = 8:6 = 4:3
Solve the equation.
h-3.5 =9h−3.5=9
i am a legend
dont ask i am just a lengnd
The value of h in the equation h - 3.5 = 9 is 12.5.
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Equations can be classified based on their degree, which corresponds to the highest power of the variables involved. For example, linear equations have a degree of 1, quadratic equations have a degree of 2, and so on.
Given that
h - 3.5 = 9,
Add 3.5 on both sides,
h - 3.5 + 3.5 = 9 + 3.5,
h = 12.5.
So, the value of h is 12.5.
Learn more about Equations here:
https://brainly.com/question/28953876
#SPJ6
The complete question is as follows:
Solve the following equation for h:
h-3.5 =9
anyone know? its due tonight
Answer:
12 cm
Step-by-step explanation:
Well first we can cut the triangle in half and use the Pythagorean theorm
a^2+b^2=c^2
In this case we are going to be doing c^2-a^2=b^2
10^2-8^2=b^2
(10*10)-(8*8)=b^2
100-64=b^2
36=b^2
Now we just square root 36 (what number times itself is 36)
[tex]\sqrt{36}[/tex]
b=6
Since half of the one side equals 6 (DC) then the length of AC is 12!
Answer:
hey mate here is your answer...
Step-by-step explanation:
by using Pythagoras theorem...
BC² = BD² + DC²10² = 8² + DC²DC² = 100 - 64DC² = 36DC = 6DC is the half of AC.Therefore AC = 12 centimetres.hope it helps you ❣️
C/2 - 3 + 6/d when c=14 d=3
Answer:
6
Step-by-step explanation:
14/2 - 3 + 6/3
Divide 14 by 2 to get 7.
7−3+6/3
Subtract 3 from 7 to get 4.
4+6/3
Divide 6 by 3 to get 2.
4+2
Add 4 and 2 to get 6.
6
25 POINTS
Solve this equation PLEASE AND STEPS
4=1/2(2x+4+x)(x-2)
Answer:
x=−2, 2.6666
Step-by-step explanation:
Let's solve your equation step-by-step.
4=(1/2(2x+4+x))(x−2)
Step 1: Simplify both sides of the equation.
4=3/2 x2−x−4
Step 2: Subtract 3/2x^2-x-4 from both sides.
4−(3/2 x2−x−4)=
3/2 x2−x−4−(3/2 x2−x−4)
−3/2 x2 +x+8=0
For this equation: a=-1.5, b=1, c=8
−1.5x2+1x+8=0
Step 3: Use quadratic formula with a=-1.5, b=1, c=8.
x=−b±√b2−4ac
2a
x=−(1)±√(1)2−4(−1.5)(8)
2(−1.5)
x=−1±√49
−3
x=−2,2.66666666666666666666666666666
Ginee sells t-shirts that she custom designs and buys from two wholesalers. Custom T-Shirts charges $7 for each t-shirt and a one-time screen print set-up fee of $40. T-Shirts Unlimited charges $8 for each t-shirt and a one-time screen print set-up fee of $20. Based on this information, which THREE statements are correct?
Answer:
Its B,C,D
Step-by-step explanation:
Find the factors of following:
(i) 8x^2 yy
Answer:
i•8xy^2yz
Step-by-step explanation:
Remove unnecessary parentheses
Answer:
i) 8x^2 yz=2×2×2×x×x×y×z
-17-x=8 pls answer bc I'm deparet
Answer:
x= -25
Step-by-step explanation:
Do 8 plus 17=25
x must be positive so -25
Please help due today
Answer/Step-by-step explanation:
✔️Diagonals of a rhombus bisect each other at 90°.
Therefore,
m<1 = 90°
✔️Since opposite sides of a parallelogram are parallel, therefore:
m<2 = 53° (alternate angles)
✔️Diagonals bisect each angle of a parallelogram, therefore,
m<3 = m<2
m<3 = 53°
✔️m<4 + m<3 + 90° = 180°(sum of triangle)
m<4 + 53° + 90° = 180° (substitute)
m<4 = 180 - 143
m<4 = 37°
2х - 12 = 24
Зу - 15 = 60
Find the product of X and y.
450
325
120
260
144
I don’t know what to do or what the answer is
Answer:
x=18 y=25
Step-by-step explanation:
1)2x18=36-12=24
2)3x25=75-15-60
Plz plz plz, HELP!!!! I will give u brainlylist
Answer:
AB ,AE
Step-by-step explanation:
Waitrose-
Budging-
Please answer ASAP
Answer: Budging because if you 3.25 + 2 = 5.25 and that
more than the Budging so therefore it's Budging.
and on Budging you get a discount.
Step-by-step explanation:
Geometry proof help please
Answer:
the picture is blurt can't see any thing sorry can't help
There are 15 pieces of fruit in the fruit in a bowl and 6 of them are apples. What percentage of the pieces of the fruit in the bowl are apples
0.06%
0.4
6%
40%
find the product 6 * 1/3
Answer:
2
Step-by-step explanation:
Reduce the numbers with the greatest common factor which is 3
So.. 2
Answer 1 and 2 for brainliest
Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within each star are the same.
To find the perimeter of each star, Jake uses the expression
12£ + ½ - 4€ - 8.5 + 2€ + 8, where e is the side length of the star.
Find the perimeter of a star with side length 6 inches. :( pls help me