a.
[tex] \cot^{2} - \cos ^2a = \cot ^{2} a \times \cos ^{2} a[/tex]
Step-by-step explanation:
We need to prove that,
[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]
Taking LHS,
[tex]\cot^2 a-\cos^2 a[/tex]
We know that,
[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]
[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]
So, LHS = RHS
Hence, proved.
Bruno reads 5 pages in 20 minutes. He spends the same amount of time per page. How long will it take him to read 11 pages?
Answer:
it will take him 44 minutes
Step-by-step explanation:
20 minutes / 5 pages = 4 minutes per page
4 minutes per page * 11 pages = 44 minutes
Charlie can run 2 laps every 10 minutes and 4 laps every 28 minutes. How long will it take for Charlie to run 3 laps.
Answer:
19min
Step-by-step explanation:
Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?
Answer:
30%
Step-by-step explanation:
3.25 minus 2.50 equals 0.75. 0.75 is 30 percent of 2.50.
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of
$42,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $49,000 down payment be?
Their down payment is % of the purchase price.
Answer:
their down payment is 30%
Step-by-step explanation:
Answer:
Step-by-step explanation:
if the price of the apartment is 140,000 dollars
lets find out how much is 1%
140,000/100=1400
42,000/1400=30
42,000 is 30% of the apt price
49,000/1400=35
49,000 is 35% of the apt price
(100 points if answered) (attatched screenshot) Algebra II need question 1 and 2
If f(x)=34x+56 , what is f(12)?
Answer:
f(x)= 34x +56 34(12) +56=464
Step-by-step explanation:
A new window costs $600 plus VAT 20%. How much is the total bill?
Answer:
720
Step-by-step explanation:
600*.2=120
120+600
720
Answer:
720 dollars
Step-by-step explanation:
find 20% of 600 dollars
[tex]\frac{20}{100} * 600[/tex]
= 120 dollars
600 + 120
= 720
I hope this helped!
please mark me as brainliest
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 5 median age in 2005, X2 5 number of 2005 bank- ruptcies per 1,000 people, X3 5 2004 federal expenditures per capita, and X4 5 2005 high school graduation percentage. (a) Write the fitted regression equation. (b) Interpret each coef- ficient. (c) Would the intercept seem to have meaning in this regression
Answer:
hello your question is incomplete attached below is the complete question
Answer :
a) attached below
b) Agemed ; 2005 median age of population
Fedspend ; 2004 federal spending per capita for all functions
HSGrad% ; 2005 public high school graduation rate
Bankrupt ; 2005 corporate or individual bankruptcies filed per 1,000 population
c) No
Step-by-step explanation:
A) Fitted regression equation
attached below is the excel procedure and the answer related to the question
b) Interpret each coefficient
Agemed ; 2005 median age of population
Fedspend ; 2004 federal spending per capita for all functions
HSGrad% ; 2005 public high school graduation rate
Bankrupt ; 2005 corporate or individual bankruptcies filed per 1,000 population
C) would the intercept seem to have meaning in this regression
The intercept wouldn't have a meaning in this regression
Kevin and his children went into a restaurant and he bought 31.50
um kevin bought 31.50 of what? food?
Helppppppppppppppppppppp assppp
Answer:
a
Step-by-step explanation:
just pick a it's correct
if 2x = 10
find the value of x
Answer:
5
Step-by-step explanation:
Divide both sides by 2.
Answer:
x=5
Step-by-step explanation:
2x=10
Divide 2 from the other side to isolate the variable.
x=5
giving brainly !! if u help me
Write the mixed number as a percent.
4 7/500
Answer:
4 7/500 as a percent is 401.4%
The mixed fraction [tex]4\frac{7}{500}[/tex] can be represent as 401%.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction : 4 7/500
Now, writing the fraction in normal fraction form
= 4 7/500
= 2007/500
Now, to convert into percent
= 2007/ 500 x 100
= 2007/ 5
= 401%
Learn more about fraction here:
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Function or Non-Function
Answer:
2 is not a function.
3 is a function
Step-by-step explanation:
one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function
Please help soon! Thanks! Solve for x
Answer:
[tex] x=27\degree[/tex]
Step-by-step explanation:
[tex] \because AC || DE.... (given) [/tex]
[tex] \therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s) [/tex]
[tex] \therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC}) [/tex]
[tex] \therefore m\angle BAD= 2x\\(\because m\angle EDF=2x) [/tex]
[tex] In\:\triangle BAD, [/tex]
[tex] m\angle BAD+m\angle BDA+m\angle ABD= 180\degree [/tex]
[tex] 2x+2x+72\degree = 180\degree [/tex]
[tex] 4x= 180\degree -72\degree [/tex]
[tex] 4x= 108\degree [/tex]
[tex] x= \frac {108\degree}{4}[/tex]
[tex] x=27\degree[/tex]
Victoria wants to purchase a skateboard. She finds it regularly sells for $139.99 and is on sale for 15% off.
What is the final cost of the skateboard?
Write your answer in steps: (Explain how you solved it)
Answer:
118.99
Step-by-step explanation: 15% off so you're only gonna pay 85% of 139.99. so 139.99 times 85% is 118.99
Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?
Answer:
14
Step-by-step explanation:
Solve x^2 +13x+12=0 Please answer this
Answer:
x=−1 or x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+13x+12=0
Step 1: Factor left side of equation.
(x+1)(x+12)=0
Step 2: Set factors equal to 0.
x+1=0 or x+12=0
x=−1 or x=−12
Answer:
Solution
=
−
1
=
−
1
2
Step-by-step explanation:
I'm not 100 % sure about my answer
f(x) = 2x + 3 and
g(x) = -3x + 1
f(4) + g(-2)=?
Evaluate 32 divided by 1.6
show work
Answer:
20
Step-by-step explanation:
32/1.6= 20
How do you want me to show the work? Long division?
Answer:
20
Step-by-step explanation:
Idk how you want me to show the work, sorry. The formatting will be weird unless I attach a pic or something
My head is hurting can you help me
It’s 16 points
Answer:
-6, -4
Step-by-step explanation:
If you flip the shape over the Y axis you can see
Geometry B Final Name Date Period Name the relationship. complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior 1 2) 3) 4) 5) 6) 7) 8)
Answer:
but we can't write all the answers here
Answer:
Step-by-step explanation:
1. complementary
2. alt ext
3. supplementary
4. corresponding
5. b=65
6. 34
7. x=7
8.x=18
Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression 10+6 with the power of 2 represents the total amount in dollars he has saved. What is the total amount Hugo has saved?
Answer$46
Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.
Please help!!! I will mark brainliest :)))
Answer:
its the first top one the 3rd one and the bottom one
Step-by-step explanation:
A math quiz has 10 questions and is scoreout of 100. Each question is worth the same. The function S (q) represents the quiz score, S, in terms of the number of correctly answered questions, q. Determine whether each statement below is true or false. Select True or False for each stateent.
Answer:
False
True
True
False
Step-by-step explanation:
got it right on the test
Lee drank 1 2/3 quarts water Monday. He drank 2/5 water Tuesday. How amny quarts did he drink today?
Answer:
Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).
Step-by-step explanation:
To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.
Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):
For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...
For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...
15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.
Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:
For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3
2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15
For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5
5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15
Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.
Step-by-step explanation:
-2.5(4w-4)= -6 and check
Answer:
y=60
Step-by-step explanation:
convert 53 yards per hour into inches per day
1 yard = 36 inches.
53 yards per hour x 36 inches per yard = 1908 inches per hour.
1 day = 24 hours.
1908 inches per hour x 24 hours = 45,792 inches per day.
The area of the rectangle is 64.8 square centimeters. What is the perimeter of the rectangle? 10cm and 8cm
The perimeter of the given rectangle is 32.2 cm.
What is a perimeter?The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The area of the rectangle is 64.8 square centimetres.
Area = l*w
l*w = 64.8
l = 64.8/w
Perimeter = 2(l+w)
= 2(64.8/w+w)
= 129.6/w +2w
We take the derivative of P and set it to 0,
dP = -129.6/w²+2
-129.6/w²+2 = 0
129.6/w² = 2
2w² = 129.6
w² = 64.8
w = 8.05
Now, we have,
l = 64.8/w
∴ l = 64.8/8.05 = 8.05
The perimeter = 2(l+w)
= 2(8.05+8.05)
= 2*16.10
= 32.2 cm
Hence, The perimeter of the given rectangle is 32.2 cm.
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