Answer:
12 million
Step-by-step explanation:
Answer:
47400000
Step-by-step explanation:
12 million * 79/20 = 47400000
please help need assistance
Answer:
18
Step-by-step explanation:
Keep in mind that anything with a subscript of 0 always comes out as a 1
16(1)+2(2)²(4⁻¹)
= 16+8(4⁻¹)
=16 + 8(1/4)
=16+2
=18
Hope this helps! :)
Question: Using only reciprocal, Pythagorean, sum/difference, and/or half angle identities, prove the equation below. You must use angles A and B, do not replace with actual vales. Only work with the right side of the equation. You should use TEN steps to accomplish this proof! cosA+cosB= 2cos(A+B/2)cos(A-B/2)
Answer:
See explanation below
Step-by-step explanation:
Recall the identity for the cosine of an addition of angles:
[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]
and that for a subtraction of angles:
[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]
Now, use the property of addition of angles above to write :
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
but since : [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]
Then the cosine of addition of angles above can be written as:
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
We do something similar now with the cosine of the subtraction of angles:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]
Then the cosine of subtraction of angles above can be written as:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:
[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]
which is what we wanted to prove.
there is only three options someone help
Answer:
Answer is Option 2
Step-by-step explanation:
Triangles equal to 180 degrees in total. So it is 55+54+x+74=180
The simplified version that I just wrote is Option 2
HELP!!!!! PLEASE! The length of 1 year on Uranus is a little more than 84 years on Earth. About how many Uranus years are equal to 175 Earth years?
Answer:
About 2.08 Uranus years is equal to 175 Earth years
Step-by-step explanation:
1 = ?
84 175
175/84 = 2.08
Number of Uranus years are equal to 175 Earth years is 2.08 years.
Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the number of years be x
1 : 84 :: x : 175
⇒ 1/84 = x/175
⇒ 84x=175
⇒ x=175/84
⇒ x=2.08 years
Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
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is 3 months enough time to complete 300 assignments? my school is online and requires you to complete a certain amount of assignments each semester.
Answer:
ya if you do 3 a day
Step-by-step explanation:
Answer:
yes it is enough time you would have to do 25 assignments aweek
Step-by-step explanation:
finding integral from derivative graph
Ina crespo rowed 7.5 miles down the Hanbashabee river in 1.5 hours ,but the return trip took her 2.5 hours.find the rate ina rows in still water and the rate of the current.
Answer:
rate of current=1 mph
Step-by-step explanation:
Mr. Wong was born in 1934. In what year was Mr. Wong 48 years old?
Answer:
1886 i think thats right if you do the math
Step-by-step explanation:
Simplify the expression.
(6 + 5) x3
A. 16
B. 11
O
C. 33
D. 21
SUBA
Answer:
C. 33
Step-by-step explanation:
Venn diagram is shown below:
What are the elements of (A ∩ B) ' ?
Answer:
1 and 2 are the elements of (A B)
To find the quotient of 4 divided by 1/5 multuply 4 by
Answer:
There is not enough information for me to solve what you want solved.
Step-by-step explanation:
Sorry
87.039 as a mixed number
Answer:
87 39/1000
Step-by-step explanation:
a boat can travel 384 miles on 48 gallons of gasoline. how much gas does will it need to go 456 miles?
carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50.
Answer:
350 feet
Step-by-step explanation:
352.50 - 37.50= 315
315 ÷ 45 = 7
7 × 50 = 350
What is the image point of ( 8 , − 2 ) after a translation right 5 units and up 2 units?
Answer:13,0
Step-by-step explanation:
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The coordinates of point (8,−2) after translation will be (13,2) and (13,4).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of a point (x,y) can be translated by right 5 units and up 2 units as,
Translation right by 5 units → (x+5, y)Translation up by 2 units → (x+5, y+2)Now, the given coordinate (8, -2) can be translated as shown below,
Translation right by 5 units → (8+5, 2) = (13, 2)Translation up by 2 units → (8+5, 2+2) = (13, 4)Hence, the coordinates of point (8,−2) after translation will be (13,2) and (13,4).
Learn more about Coordinates here:
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A flying fish deep under the sea dreams to reach the clouds one day the fish is at a depth of 200 feet below sea level right under the clouds it has to fly 6700 feet to reach the clouds how many feet above sea level are the clouds
Answer:
6500
Step-by-step explanation:
6700-200= 6500
6500 ft above sea level
nothing nothing nothing nothing
Answer:
nothing nothing nothing nothing
Step-by-step explanation:
nothing nothing nothing nothing nothing nothing nothing nothing
stream positons by ariana grande <3
cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work
Answer:
Juke's jump; by 0.35 feet
Step-by-step explanation:
Given that,
Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.
Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.
Cooper's jump is :
[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]
Juke's jump is
[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]
So, it is clear that Juke's jump is longer than Cooper's jump.
Juke's jump - Cooper's jump = 4.75 - 4.4
= 0.35 feet
or
So, Juke's jump is 375 feet longer.
(-3, 7) and (6, -8) linear equations
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour
Answer: 7.0
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so he needs to ride an addititonal 9.8 mile per1/4 hour
Answer:
30 mph
Step-by-step explanation:
since it is 1/4 you would multply 7.5 times 4, which adds up to 30.
100 plates served. The 1st waiter turnes every plate upside down. Then another waiter turned every other plate. Then the 3d waiter turned every 3d plate. The 4th turned every 4th plate, and so on, until the 100th waiter turned the 100th plate. At the end how many plates are placed normally?
Answer:
At the end of the 100th turn, you have 90 plates placed normally.
Step-by-step explanation:
Not sure if there is a formula to calculate this. I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?
Answer:
Well in six hours it'll be -12
Step-by-step explanation:
which of the following are true of linear functions?
Answer:
1. 3. 6.
Step-by-step explanation:
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
What is 2÷1/7 equal to
A 14
B 7
C 7/2
D 15/7
E 2/7
Answer:
14! So a
Step-by-step explanation:
Answer:
aaaaaaaaa
Step-by-step explanation:
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for the below question assume no duplicated units are allowed all the answers for a 5 question multiple choice test are a b c d find the number of possible answer keys a teacher could have
Answer:
4
Step-by-step explanation:
1 2 3 4 so 4 because 4 is the last number before 5
A student asks how you can find the quotient and the remainder in a division problem like
593
÷
36
using a calculator that can perform only the four basic operations. How do you respond?
Answer:
16.4722222222
Step-by-step explanation:
The quotient and remainder should be 16 and 17 respectively.
Given that,
The problem is 593 ÷ 36.By using the calculator we can perform the four operations i.e. addition, subtraction, multiplication & division.The division result in the division operator is
593 ÷ 36 = 16.4722So, the quotient is 16.Now the remainder should be
(16.4722 - 16) ×36 = 17
Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.
Learn more about the division here: brainly.com/question/21416852
The three perpendicular bisectors of the sides of AABC intersect at point G. Point G is the
A)
centroid.
B)
circumcenter.
C)
incenter:
D)
orthocenter.
Answer: Circumcenter
Step-by-step explanation:
Please view the photo below for proof that it is accurate.
pls help it's due in 4 mins
Answer:
The mistake is the height has to be 6
Step-by-step explanation:
A=B times H
A= 11 times 6
A=66 divided by 2
A= 33 units squared
Hopefully this helps!
Answer:
the answer is 6 .....
no need to explain
Can anyone solve the his it’s pretty easy but I really don’t feel like doing anything today lol
Answer:
100
Step-by-step explanation:
Yw btw LOL! Ik this answer is probs wrong LOL