Answer: [tex]\frac{\sqrt{3}}{2}[/tex]
======================================================
Explanation:
The symbol [tex]\theta[/tex] is the greek letter theta. It's often used in trigonometry for angles.
In this case, [tex]\theta = 30^{\circ}[/tex]
So,
[tex]\cos(\theta) = \cos(30^{\circ}) = \frac{\sqrt{3}}{2}[/tex]
You'll need to use a reference sheet or the unit circle to determine the value of cos(30). Or you could use a 30-60-90 triangle template.
When using the unit circle, look in the upper right quadrant (which is quadrant 1). The angle 30 degrees is in this quadrant. Locate the terminal point and note how [tex]\frac{\sqrt{3}}{2}[/tex] is the x coordinate of the terminal point. This is due to [tex]x = \cos(\theta)[/tex]
Side note: [tex]\frac{\sqrt{3}}{2} \approx 0.866025[/tex]
(I retook the photo for u nice smarts) here I go nice person help
Answer:
(6,7)
x=6
y=7
Step-by-step explanation:
What you do is combine the two equations and solve for x
1/3x+5=5/3x-3
Add three to both sides and subtract 1/3x from both as well
This gives us
8=4/3x
Divide by 4/3 and get
x=6
Then plug x=6 into any of the equations and get
1/3*6+5
This gives us 7
Answer:
I'm the bad guy
Step-by-step explanation:
PLEASE ANSWER THIS IN SLOPE INTERCEPT FORM!!!
Answer:
The answer is
[tex]y = - \frac{3}{4} x + \frac{13}{4} [/tex]
Pls help and show workings due ASAP
Answer:
m = 2/3
Step-by-step explanation:
slope is equal to rise/run
rise = y2 - y1 = 7 - 1 = 6
run = x2 - x1 = 3 - (-6) = 9
simplify 6/9 = 2/3
Can someone help me calculate angles?
Answer:
1.45
2. 135
Explanation:
1. With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.
2. Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS
HELP HELP HELP HELP Pi =?
Answer:
Pi = 3.14159265359
Step-by-step explanation:
3.14159, this is π
Followed by 2-6-5-3-5-8-9
Circumference over diameter
7-9, then 3-2-3
OMG! Can't you see?
8-4-6-2-6-4-3
And now we're on a spree
38 and 32, now we're blue
Oh, who knew?
7, 950 and then a two
88 and 41, so much fun
Now a run
9-7-1-6-9-3-9-9
Then 3-7, 51
Half way done!
0-5-8, now don't be late
2-0-9, where's the wine?
7-4, it's on the floor
Then 9-4-4-5-9
2-3-0, we gotta go
7-8, we can't wait
1-6-4-0-6-2-8
We're almost near the end, keep going
62, we're getting through
0-8-9-9, on time
8-6-2-8-0-3-4
There's only a few more!
8-2, then 5-3
42, 11, 7-0 and 67
We're done! Was that fun?
Learning random digits
So that you can brag to your friends
heres yo go mattty lolololololol
Answer:
x = 16
Step-by-step explanation:
71 - 15 = 56
56 ÷ 14 = 4
[tex]\sqrt{16}[/tex] = 4
Check work:
[tex]\sqrt{16}[/tex] = 4
14 x 4 = 56
56 + 15 = 71
yo i need the answer foh dis right ha ight help me dawgggg
Answer:
-1/3
Explanation:
Answer:
Ionk dis buhh i guess it's -1 sum damm i forgot
Step-by-step explanation:
Hope dis helps ighh
11. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?
A. octagon
B. decagon
C. hexagon
D. pentagon
Answer:
the answer is a octagon that has rotation of 45degrees
HELP PLEASEEEE
The diameter of Jupiter is about 10 times the diameter the Earth . Which object in the solar system has a diameter that about 10 times the diameter of Jupiter ? A)Saturn B)Sun C) Moon D) Mercury
Answer: B: Sun.
Step-by-step explanation: Jupiter is the largest mass in our solar system, other than the sun. Everything else is too small.
The object in the solar system has a diameter that is about 10 times the diameter of Jupiter is B: Sun.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that the diameter of Jupiter is about 10 times the diameter of the Earth.
We know that Jupiter is the largest mass in our solar system, other than the sun. other planets are too small.
Diameter of Jupiter = 1.43 x [tex]10^5[/tex]km
Diameter of Earth = 1.27 x 1[tex]0^4[/tex]km
Diameter of Jupiter = 10 (Diameter of Earth)
Ratio = Jupiter/Earth
Ratio = 1.43 x [tex]10^5[/tex]/1.27 x 1[tex]0^4[/tex]km
Ratio = 11.3
Since all the other planets are small; only the sun has the largest diameter than Jupiter.
Learn more about multiplications;
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Simplify the expression below using the distributive property
Answer:
-84-12i
Step-by-step explanation:
The one you have is the answer :)
can someone help me please?
Answer:
72/100
Step-by-step explanation:
If the population in Charleston, SC grew exponentially from 90,620 people in 1990 to 120,083 people in 2010. Write a function to model Charleston's population from 1990 to 2010 assuming the population grew at a constant growth rate during that time period where P (population) is a function of time, t, (where t represents t).
What is the rate?
graph the line witg the equation y=-x-6
Answer:
Attached is the graph. The x-intercept is -6, and the y-intercept is -6.
A person deposited Rs 60000 in a bank for 2 years at the rate of 10%pa compounded annually.But after one year,bank has changed the policy and decided to pay semi-annual compound interest at the same rate.What is the percentage difference between compound interest of first year and second year?
Answer:
[tex]1.159\%[/tex]
Step-by-step explanation:
Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].
Rate or R [tex]=10\%[/tex] per annum compounded annually.
Time or T [tex]=2[/tex] years.
To find: Percentage difference between compound interest of first year and second year.
Solution:
First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].
First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].
For the second year, the interest is compounded semi-annually.
So, time is doubled and the rate is halved.
Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].
Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].
Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].
Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].
Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
Learn more about prism here; https://brainly.com/question/24606047
Prove that the value of the expression:
165+164 is divisible by 17
Answer:
329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353
so take that and mutiply it by 17 then you will get 329
Step-by-step explanation:
Answer:
[tex]16^{2} (272)[/tex] is divisible by 17
Proof:
In order to solve this question we will have to factor [tex]16^{5} + 16^{4}[/tex]. We will have to do that as follows.
[tex]16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)[/tex]
From here we know the the resulting number will be equal to [tex]16^{2} (272)[/tex] now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that [tex]16^{2} (272)[/tex] will also be divisible by 17.
if 3x - 6.59 = 11.41 what is the value of x
Answer: x = 6
Step-by-step explanation:
3x - 6.59 = 11.41
Add 6.59 to both sides
3x = 18
Divide both sides by 3
x = 6
Hope that helped!
Answer:
I have the same question,
Step-by-step explanation:
help me, please............
Answer:
reflected over the y axis
Find the least common multiple (LCM) for the pair of numbers.
20, 3
Need answers like now
Step-by-step explanation:
A method for this would be the tree diagram
20
/. \
10 x 2 ( u circle 2,times with 1 will times into itself)
/ \. (nothing goes into 2)
5x2 (same goes for 5 and the rest)
5x2x2= 20
3. (cant times into itself)
so 2x5x3 = 30
LCM = 30
What is the vertex of the function f(x) = 2+3x+ 3/2
Answer:
0=2+3x+3/2
0=7/2+3x
-3x=7/2
divide by -3 on both sides
x=-7/6
hope this helps
Step-by-step explanation:
Find the solution to the system of equations
−8x+9y=−21
-3x+9y=−36
Answer:
(-51,-21) solve for the first variable in one of the equations. then substitute the result into the other equation
What is the recursive formula for this arithmetic sequence? 5, 9, 13, 17..
Step-by-step explanation:
Every term that has another term preceding it is 4 more than the previous term.
The recursive formula is a(n) = a(n - 1) + 4.
Catty Couture is a company that make designer socks for cats.
134 cats are waiting for their socks to be made.
How many socks is this in total?
Answer:
536
Step-by-step explanation:
4 paws on each cat, multiply by the amount of cats = 536
Find the value of x...X=?
Answer:
The value of x° = 134°
Step-by-step explanation:
Given the angles of a quadrilateral
100°51°75°x°We know that the sum of interior angles in a quadrilateral is 360°.
so
100° + 51° + 75° + x° = 360°
226° + x° = 360°
subtracting 226° from both sides
226° + x° - 226° = 360° - 226°
x° = 134°
Therefore, the value of x° = 134°
VERIFICATION:
100° + 51° + 75° + 134° = 360°
360°= 360°
Solution:
→ 100° + 51° + 75° + x = 360°
→ (100° + 51° + 75°) + x = 360°
→ 226° + x = 360°
→ x = 360° - 226°
→ [ x = 134° ]
Thus, the value of x is 134°.
A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below.
What is the perimeter of the new shape formed?
a. 46 cm
b. 40 cm
c. 22 cm
d. 20 cm
Answer: a. 46 cm
Step-by-step explanation:
(7 + 14) × 2 + 2× 2 = 46 (cm)
The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm
Given:
Smaller rectangle
length = 5 cm
width = 2 cm
perimeter of smaller rectangle = 2(length + width)
= 2(5 + 2)
= 2(7)
= 14
Larger rectangle
length = 14 cm
width = 7 cm
perimeter of larger rectangle = 2(length + width)
= 2(14 + 7)
= 2(21)
= 42 cm
perimeter of new shape = perimeter of larger rectangle + 2 × 2
= 42 + 4
= 46 cm
Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm
Learn more about perimeter of a rectangle:
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Gcf/ greatest common factor and / LCM least common multiple Mang Andoy is going to put in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andoy can put using the tray. 1. What is asked? _________________________________ 2. What are given facts? _________________________________ 3. How will you solve the problem? ___________________________ 4. How is the solution done? ______________________________ 5. What is the answer to the problem? ___________________________
Answer with explanantion:
1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.
2. What are given facts? Two kinds of tray (One can have 6 eggs , other can have 12 eggs)
3. How will you solve the problem? We need to find LCM of 6 and 12.
4. How is the solution done?
Prime factorization of 6 and 12:
6=2 x 3
12 = 2 x 2 x 3
LCM(6,12) = 2 x 2 x 3 = 12
5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12
on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall. What is the slope and is it negative or positive?
Answer:
slope is zero
Step-by-step explanation:
zero slope is neither positive or negative; it indicates no change whatsoever
The area of a rhombus is 16 cm 2 . If the length of one diagonal is 4 cm, find the
length of the other diagonal.
Let, the length of the other diagonal be X
According to the Question:
We know that:
▶ Area of rhombus = ½ × d1 × d2
⇒ 16 = ½ × 4 × d2
⇒ d2 = 32/4
⇒ 8 cm
_________________________Hope it helps u!! ✿
Which of the following is a solution to this inequality?
y > 1/2x + 2
A. (1,4)
B. (-1,1)
C. (2,3)
D. (0,2)
Answer:
A. (1,4)
Step-by-step explanation:
What is the binomial expansion of (x+2y)^7
Answer:
......................................................................