Answer:
600 acres
Step-by-step explanation:
Hope this helps!
The number of acres of land Mcgregor has 600 acres.
Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the total number of acres be x.
So, 30% of x=180
⇒ 30/100 × x=180
⇒ 0.3x=180
⇒ x=180/0.3
⇒ x=600
Hence, the number of acres of land Mcgregor has 600 acres.
To learn more about the percentage visit:
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CosA-[1+sin2A]1/2
_______________=TanA
SinA-[1+sin2A]1/2
Answer:
[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } } =tanA[/tex]
Step-by-step explanation:
Step(I):-
Given
[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]
By using sin²x+cos²x =1
now
= [tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]
= [tex]\frac{cosA-(sin^{2} +cos^{2}x +2sinAcosA)^{\frac{1}{2} } }{sinA-(sin^{2}x+cos^{2} x +s2sinAcosA){\frac{1}{2} } }[/tex]
= [tex]\frac{cosA-(sinx +cosx)^{2} )^{\frac{1}{2} } }{sinA-(sinx+cos x)^2){\frac{1}{2} } }[/tex]
After simplification , we get
= [tex]\frac{cosA-(sinA+cosA)}{sinA-(sinA+cosA)}[/tex]
= [tex]\frac{-sinA}{-cosA}[/tex]
= tanA
Which number line shows Point A at −4, Point B at 2.5, Point C at −2 and 1 over 2, and point D, which is the opposite of point A?
Answer:
the answer is D
Step-by-step explanation:
Answer:
Your answer would be D
Step-by-step explanation:
:)
multiply 4-6i and -4+2i
Answer:
-4 + 32i
Step-by-step explanation:
use the distributive property to multiply
remember: i^2 = 1
(4 - 6i)(-4 + 2i)
-16 + 8i + 24i - 12i^2
-16 + 32i - 12(- 1)
-16 + 32i +12
-4 + 32i
Answer:
4 - (6 * i)) * ((-4) + (2 * i)) =
-4 + 32 i
Step-by-step explanation:
I need help Brian listed if u awnser! right now!
Solve each equation for 0< theta < 2pi
3-2sin theta=5
Step-by-step explanation:
3 - 2sinθ = 5
2sinθ = -2
sinθ = -1
Therefore θ = 3π/4.
Consider the following functions below.
f (x) = 2x² + 3x - 5
g(x) = 5x2 + 4x – 1
Which of the following represents g
g(x) – f(x)?
o - 3x² – x-4
o – 3x² + 7x - 6
3x²+x+4
3x² + 7x - 6
Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
In quadrants 1 and 3 the x-coordinate of a point is positive?
no because one is negative and the other is positive so no it didn't
pls help having a hard time understanding I just need the answers
Answer:
B
Step-by-step explanation:
Basically, you can rule out all of the other answers by the following criteria:
A is wrong because any y= equation without an x is just a straight horizontal line
C is wrong because any x= equation is just a vertical line
D is wrong because both lines shown are positive lines, and both equations in answer D are negative
Therefore by process of elimination, the only answer that makes sense is B
what is a preimage and image of triangle in a translation
Answer:
translation to what language?
Step-by-step explanation:
9514 1404 393
Explanation:
The preimage is the original triangle, the figure before any transformation is done to it.
The image is the result of applying a transformation to the preimage.
__
When the transformation is translation, the image is congruent to the preimage, but is located in a different place. It is not rotated or reflected if the only transform is translation.
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?
Cate wants to buy calzones and sodas for her friends. She finds that when she buys 2 calzones and 3 sodas, she pays $13. When she buys 3 calzones and 2 sodas, she pays 17. The prices for a calzone, LaTeX: cc, and for a soda, LaTeX: ss, can be found using a system of equations. Enter with NO dollar signs
Answer:
Step-by-step explanation:
23
5,10,20,40,80 determine if the pattern illustrates geometric sequence or not..
Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.
.
Elizabeth ate lunch and wanted to leave her waitress a 15% TIP. Her meal cost $8.95. How much money should Elizabeth leave total?
Answer:
$10.2925, Rounded up: 10.30
Step-by-step explanation:
First, you find what 15% is in a decimal. so you do 15 x 100 to get 0.15
Then you multiply that by 8.95 to get 1.3425
Finally, you add up the numbers and get 10.30 as a rounded answer :D
Which of the following is a proper fraction?
a. 3
4 b. 4
3
c. 4
13 d. 5
Complete question is;
Which of the following is a proper fraction?
a. 3/4
b. 4/3
c. 4¾
d. 3¼
Answer:
a. ¾
Step-by-step explanation:
Proper fraction is one in which the numerator is less than the denominator while improper fraction is one whereby the numerator is greater than the denominator.
From this definition, the one that is proper fraction is only ¾.
Answer:
jllfdlkdjklfsdkldsjlkdsj
Step-by-step explanation:
this is payback
write a polynomial equation of degree 4 that has the roots of -1 repeated three times and 4.
Answer:
f (x) = (x+1) 3These three is elevated with the parenthesis ( x- 4)
Step-by-step explanation:
plz help! will give brainliest! really easy!
Answer:
C
Step-by-step explanation:
I explained it in the comments of the other one
Ashley and her four friends went trick-or-treating. Each one of them got 4/5 of a bag of treats. How many bags of treats did they have in total?
Answer:
4 bags
Step-by-step explanation:
Since there were five in total, and each got 4/5 evenly, it's just basic adding while subtracting the amount from the other bags.
So to get 5/5, which is a full bag, you take portions out of the others to create a full one. Write out 4/5, five times, and then subtract the needed portions from a separate bag to combine a full one.
Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?
Answer:
4b-5=71
19 books
Step-by-step explanation:
b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation
HELP!!! ASAP MARKING BRAINLIEST!!!!
Answer:
A. y=1/2x-4
Step-by-step explanation:
maths
Select all the expressions that are equivalent to y'.
Answer:
A, B, D
Step-by-step explanation:
A) y squared times y squared you just add the exponents
B) y^6/y^2 write it out as (y)(y)(y)(y)(y)(y)/(y)(y) then u cancel out two "y" from numerator and denominator and is left with y^4
C) is just 0 so its wrong
D) is the same process as B just cancel out 5 "y" from numerator and denominator and is left with y^4
E) is incorrect bc you need to add the exponents and you will get y^5 which is not equal to y^4 so yeah its wrong
what's the area of the quadillateral
Answer:
The area of the quadillateral is 360 degree.
Step-by-step explanation:
Hope this helped!
Have an amazing day!
What is the distance between the points (22 , 14) and (7 , 14) in the coordinate plane?
Step-by-step explanation:
Distance between the points = sqrt[(22-7)² + (14-14)²] = 15.
Answer:
it is 15 something sorrry if i am wrong
Step-by-step explanation:
A textbook store sold a combined total of 392 physics and psychology textbooks in a week. The number of physics textbooks sold was three times the number of psychology textbooks sold. How many textbooks of each type were sold?
Answer:
Psychology textbooks = 98 and physics textbooks = 294
Step-by-step explanation:
Let there are x psychology textbooks sold.
No of physics textbooks sold = 3x
ATQ,
A textbook store sold a combined total of 392 physics and psychology textbooks in a week.
x + 3x = 392
4x = 392
x = 98
It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.
Rick has $20. He spent $10 on food, $6 on a movie ticket, and saved the rest.
( need to answer both pls )
A. How much money did he save.
B. What fraction of the total amount did he save.
Answer:
A. $4
4/20 or 1/5
Step-by-step explanation:
what does this mean?
Answer:
That means you finished.
Step-by-step explanation:
Help thank you to who ever does I will mark brainliest.
Answer:
V = 200.96 units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 4 and the height is 12
V = 1/3 ( 3.14 ) ( 4)^2 * 12
V = 200.96 units ^3
ANSWER: 200.96 units
4t + 2u
w;t= 2 and u= 1
15
Step-by-step explanation:
4t + 2u²- u³
4×2=8
2×1=2²=8
1³=1
8+8-1
16-1=15
What is 3×7×7×7×7 using index notation
Answer: 3 x 7^4
Because there's one 3 & four 7's .
Step-by-step explanation:
Suppose that 8,000 is placed in an account that pays 17% interest compounded each year assume that no withdraws are made from the account
Step-by-step explanation:
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