Answer:
sin(75°) = [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]
Step-by-step explanation:
Given: sin(75°)
Rewrite: sin(30° + 45°)
Use sum and difference identity:
sin(α + β) = sinαcosβ + cosαsinβ
sin(30°+45°) = sin(30°)cos(45°) + cos(30°)sin(45°)
sin(30°+45°) = (1/2)(√2 / 2) + (√3 / 2)(√2 / 2)
sin(30°+45°) = (√2 / 4) + (√6 / 4)
sin(30°+45°) = [(√2 + √6) / 4]
sin(75°) = [(√2 + √6) / 4]
Once the boat is 2,500 feet away from the port, it is no longer your responsibility to track it. Will the boat be 2,500 feet away after two minutes?
Answer:
Step-by-step explanation:no
please help lolllllll
Someone please answer this
Answer:
8 m is the answer.
Step-by-step explanation:
a = ?
b (Brennan and Hannah) = 6 m
c (Jayce and Hannah) = 10 m
According to the Pythagoras theorem,
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = 8 m
∴ Jayce and Brennan are 8 m apart.
Hey, can someone please help me with this? I don’t know how to solve it.
Thank you.
Answer:
24
Step-by-step explanation:
A parasail is at a height of 441 feet (or 0.083 miles) above sea level. The earth's radius is 3959 miles find the distance to the horizon to the parasail.
If you answer this can you please explain how to do it? I'm confused and just want to learn, but I don't understand how to solve it!
Answer:
The distance to horizon is 25.64 miles for the parasail.
Step-by-step explanation:
The distance to horizon for a given height is given as
[tex]d=\sqrt{2hR}[/tex]
Here
d is the distance to horizonh is the height of the observer which is given here as 0.083 milesR is the radius of Earth which is given as 3959 milesSo the distance becomes
[tex]d=\sqrt{2hR}\\d=\sqrt{2\times 0.083\times 3959}\\d=\sqrt{657.194}\\d=25.6357 \text{ miles}\\d=25.64\text{ miles}[/tex]
So the distance to horizon is 25.64 miles for the parasail.
Select all the roots of the following equation.
Solve (x−5)(x+9)=0
Select 2 correct answer(s)
14
5
-9
5
9
-14
Answer:
5, -9
Step-by-step explanation:
(x - 5)(x + 9) = 0 These are factors, to get the roots, just set each one equal to zero
x - 5 = 0
x = 5
x + 9 = 0
x = -9
Answer:
Postive 5 and negative 9.
Step-by-step explanation:
So remember, all we have to do is set each of the parethese to zero and solve. It should look like this:
x-5=0 and x+9=0
For the first equation we have made, jsut add 5 to both sides so x is alone. This will get you:
x=5
So the first answer for x is 5.
Now lets solve our second equation and find the second answer for x.
So all we have to do for this one is subtract 9 from both sides. This should get you:
x=-9
So now we know that our two answers for x is 5 and -9.
These two answers seem to be on your list as #2 answer and #3 answer.
Expert Card has an APR of 16.2% compounded monthly. Passport has a daily periodic interest rate of 0.0398%. Explore has a monthly periodic interest rate of 1.35%. Which card has the higher APR?
Answer:
Explore is Answer
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
9514 1404 393
Answer:
(C) angles A and B and those corresponding
Step-by-step explanation:
If sides are used to show similarity, at least two sides from each triangle are required. If only two sides are used, then the angle between them must also be shown to be congruent.
A -- has 2 sides, but no angles; (SS) not sufficient
B -- has 2 sides but not the angle between; (SSA) not sufficient
C -- has 2 angles; (AA) sufficient
D -- effectively, one angle; (A) not sufficient
4) Suppose y varies inversely with the SQUARE ROOT of x.
When x = 4, y = 100.
Which variation equation you need to use? (a) y = kx or (b) y = k/x?
Find the constant of Variation (K) and then find the Variation Equation by plugging the value of k.
Answer:
Variation equation: y = k/√x
constant of variation: 200
Variation Equation by plugging the value of k: y = 200/√x
Step-by-step explanation:
If y varies inversely with the SQUARE ROOT of x, then;
y = k/√x
If x = 4, y = 100.
100 = k/√4
100 = k/2
200 = k
k = 200
Substitute into the expression
y = k/√x
y = 200/√x
A mother duck lines her 9 ducklings up behind her. In how many ways can the ducklings line up?
There are 362,880 ways to ducklings line up.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A mother duck lines her 9 ducklings up behind her.
Now,
Since, A mother duck lines her 9 ducklings up behind her.
Hence, By using Fundamental counting principal we get;
The number of ways for ducklings line up = 9!
= 9×8×7×6×5×4×3×2×1
= 362,880
Thus, The number of ways for ducklings line up = 362,880
Learn more about the multiplication visit:
brainly.com/question/28768606
#SPJ2
Name the property that the statement illustrates.
Answer:
Reflexive Property of Equality
What is the measure of n?
m
n
8.
4
n
=
V[?]
Answer:
I think the answer is n=32 because 8×4 is 32
5. Simplify
(7x2+ 8) - (x2 - 2)
Answer:
[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
pls help me with this asap!!
Answer: 7 square root 2 AKA the bottom one
Step-by-step explanation:
PLEASE HELPPP! I'LL GIVE BRAINLEST
Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!
Answer:
100/70
Step-by-step explanation:
i did 25 times 4 got 100 then did 100/70
Does anyone know what the answer please???
Answer: 8
As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2
In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2
Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.
Helpp plzz will mark brainleast
Answer:
can we see the text and part a
like you know the question is asking abt that
The Downtown Community Barbecue served 280 dinners. A child’s plate cost $2.60 and an adult’s plate cost $9.50. A total of $1,797.50 was collected. How many of each type of plate was served?
Round answers to the nearest whole person.
child plates were served.
adult plates were served.
Answer:
the number of child plates and adults plates were served is 125 and 155 respectively
Step-by-step explanation:
Let us assume the child plate be x
And, the adult plates be y
Now according to the question
x + y = 280 .................(1)
2.60x + 9.50y = 1797.50 .............(2)
Now multiply by 2.60x in equation (1)
2.60x + 2.60y = 728
2.60x + 9.50y = 1797.50
-6.90y = -1069.50
y = 155
So, x = 280 - 155
= 125
hence, the number of child plates and adults plates were served is 125 and 155 respectively
the average of three numbers is 1/5. Two of the numbers are 1/4 and 1/3. what is the third number?
Answer:
The third number is 1/60
Step-by-step explanation:
Let the denominator of the number = x
1/4 + 1/3 + 1/x = 1/5
1/4 + 1/3 = 3/12 + 4/12 = 7/12
The lowest common denominator is 60x.
(7/12 + 1/x)/3 = 1/5 Remember that this is the average of 3 numbers. That's what the 3 is doing on the left. Multiply both sides by 3
7/12 + 1/x = 3/5 Multiply through by 60x
35x + 60 = 36x
x = 60
Very nice problem. Thanks for posting. This problem is a little involved. If you have trouble with it, leave a note in the comments and I'll come back and discuss it.
Airlines monitor the causes of flights arriving late. A total of 75% of flights are late because of weather, while 35% of flights are late because of ground operations. A full 10% of flights are late because of weather and ground operations. What is the joint probability that a flight arrives late because of weather and ground operations
Answer:
36% is the joint probability that a flight arrives late because of weather and ground operations
Step-by-step explanation:
Given
% of flight late because of weather = 0.75
% of flight late because of ground operation = 0.35
% of flight late because of both weather and ground operation = 0.10
The probability of joint probability that a flight arrives late because of weather and ground operations is equal to
p (A and B) + {P(A) * P(B)}
0.10 + (0.75 * 0.35)
0.36
or 36%
Answer:36%
Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.
a2+9a+18
Can someone factor this for me
Answer:
(a+3)(a+6)
Step-by-step explanation:
a(a+6)+3(a+6)
(a+3)(a+6)
Which angle is complementary to ZCOD?
Need help asap
Answer:
angle BOC
Step-by-step explanation:
complementary angles add up to 90 degrees
what is the slope of the line
Answer:
3
Step-by-step explanation:
3/1
Represent each of these temperatures in degrees Fahrenheit with a positive or negative number. 5 degrees above zero 3 degrees below zero 6 degrees above zero 234 2 3 4 degrees below zero Order the temperatures above from the coldest to the warmest.
Answer:
5 degrees above Zero = greater than 0 = + 5
3 degrees below Zero = less than 0 = - 3
6 degrees above Zero = greater Than 0 = + 6
2 3/4 degree below Zero = less than 0 = - 2 3/4
-3 ; - 2 3/4 ; + 5 ; + 6
Step-by-step explanation:
5 degrees above Zero = greater than 0 = + 5
3 degrees below Zero = less than 0 = - 3
6 degrees above Zero = greater Than 0 = + 6
2 3/4 degree below Zero = less than 0 = - 2 3/4
The least temperature value implies the coldest while the highest implies the warmest :
Therefore.
Least temperature = - 3 ; then - 2 3/4 ; then + 5 ; then + 6
-3 ; - 2 3/4 ; + 5 ; + 6
Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 20 points
I will mark you as Brillant if you answer it
Step-by-step explanation:
Multiply any number with their denominator
0/1×20=0/20
1/1×20= 20/20
Now,
3/20,5/20,6/20,15/20,18/20.....
What is the 12th term in the geometric sequence -9,27,-81...?
A) -531441
B) 1594323
C) -4782969
D) 177147
Answer and I will give you brainiliest
Answer:
B) 1594323Step-by-step explanation:
Given GP -9, 27, -81, ...To find12th termSolutionnth term formula
aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the termWe have
a₁ = -9r = 27/-9 = -81/27 = -3Find a₁₂
a₁₂ = (-9)*(-3)¹¹ = 1594323Correct choice is B
Plz help if correct ill give brailiest
Answer:
That first one is the answer
Answer:
the last one
Source : Trust me Bro
(its actually the last one)
If the lengths of two sides of a triangle are 3 and 12, which could be the length of the third side?
16
14
8
6
Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse
Step-by-step explanation:
Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
Based on this data, what percentage of the material that Tom read is a magazine?
Answer:
Step-by-step explanation:
20 dude hahah