Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha)
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Answers
Answer:
[tex]\frac{1}{cos^2a }= tan^2 a[/tex]
Step-by-step explanation:
Explanation:-
Given sin²a + cos²a = 1
and
[tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]
= tan²a + 1
Related Questions
What is the answer to 200 x 32.6
Answers
Answer:
6520
Step-by-step explanation:
Hope this helps :3
AB and BC form a right angle at point B. If A= (-3,-1) and B = (4,4), what is the equation of BC?
A. x+3y= 16
B. 2x+y= 12
C. -7x - 5y=-48
D. 7x-5y= 48
Answers
Answer: We have then:
y-yo = m (x-x0)
m = (y2-y1) / (x2-x1)
m = (4 - (- 1)) / (4 - (- 3))
m = 5/7
We choose an ordered pair:
(xo, yo) = (4, 4)
Substituting:
y-4 = (5/7) (x-4)
y = (5/7) x-20/7 + 4
7y = 5x - 20 + 28
7y = 5x + 8
y = (5/7) x + 8/7
The equation of the perpendicular line is:
-7x - 5y = -48
Answer:
the equation of BC is:
(C) -7x - 5y = -48
Step-by-step explanation:
A snail travels 1/8 mile in 3/4 hour. The snail's speed is miles per hour.
Answers
9514 1404 393
Answer:
1/6 mph
Step-by-step explanation:
To find miles per hour, divide miles by hours.
(1/8 mi)/(3/4 h) = (1/8×4/3) mi/h = 1/6 mi/h
The snail's speed is 1/6 miles per hour.
Answer:
The answer is 1/6
9th grade math need help please
Answers
Answer:
Option 4 is the answer because both of the equations are same
(-6+51)+(2-5i)-(1+61)
Answers
Answer:
-15 - 5 i
Step-by-step explanation:
Answer:
−15 − 5i
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
An online shopping club has 14,000 members when it charges $9 per month for membership. For each $1 monthly increase in the membership fee, the club loses approximately 500 of its existing members. Write and simplify a function R to represent the monthly revenue received by the club when x represents the price increase.
Hint: Monthly revenue = # membersmonthly fee.
PLEASE HELP
Answers
Answer:
The max revenue is acheived with 7 increases
Step-by-step explanation:
Revenue = Members * (Cost Per Member)
R = (4600 - 200x) ( 9 + 1x)
Where x represents the number of $1 increases
Find the measure of an interior angle of a regular dodecagon(12-sided polygon). Hint: Sum = (n-2)180
Answers
Step-by-step explanation:
Sum of interior angles in a polygon = 180°(n - 2).
Size of interior angle in a regular polygon
= 180° - 360°/n
= 180° - 360°/12
= 180° - 30°
= 150°.
One quart of cranberry juice equals 4 cups. How many quarts of cranberry juice is needed for the recipe? If you can only buy whole quarts of juice, will there be cranberry juice left over?
Answers
Answer:
you have to provide the recipie
Step-by-step explanation:
sec 16° cosec 74° - cot 74º tan 16º.
Answers
Answer:
Check this..............
what is the whole number of 9
Answers
Answer:
9/1
Step-by-step explanation:
Answer:
Um wym?
Step-by-step explanation:
What angles are vertical? Will mark brainliest
Answers
Answer:
7&6 and 8&5 I believe their on the opposite sides
The table below shows the number of eggs needed for several servings of a recipe. How many eggs are needed for 90 servings?
Answers
Answer:12
Step-by-step explanation:You muplty then divide
Marry went to kohl’s and brought shoes for 32.99 what was her total cost if tax was 6.5 percent
Answers
Answer:
5.08
Step-by-step explanation:
A recipe calls for 13/4 cups of flour. If the recipe is tripled, how much flour is needed?
Answers
Answer:
39/4 or 9 and 3/4
Step-by-step explanation:
multiply the numerator by 3 over 1
xoxo, your highness...I have 10 minutes to answer this question.
Please select the word from the list that best fits the definition Tables and charts comparing the government from five different states
Title Page
Table of Contents
Glossary
Index
Appnedix
Answers
Answer:
Appendix
Step-by-step explanation:
Answer:
appendix is the answer on edge 2020
Step-by-step explanation:
Justify whether matrix a is invertible.
Answers
Answer: C. No, because its determinant is zero.
Step-by-step explanation: I got this right on Edmentum.
No, because its determinant is zero. The correct option is C.
What is a matrix?
A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.
The given matrix is,
[tex]\left[\begin{array}{cc}6&-4\\-9&6\\\end{array}\right][/tex]
The determinant of the matrix will be calculated as below:-
D = ( 6 x 6 ) - ( -9 x -4 )
D = ( 36 - 36 )
D = 0
Here the determinant of the matrix is zero. Therefore, the matrix is not invertible.
To know more about matrix follow
https://brainly.com/question/11989522
#SPJ5
Dan is completing a 60-kilometer run. The diagram below shows what percent he has run so far.
60 % from 60 km
How many kilometers has he run so far?
Answers
Answer:20
Step-by-step explanation:
i got it right in my dca
I NEED HELP THANK YOUUUY
Answers
Answer:
(4,4)
Step-by-step explanation: trust me bro
help me real quickhahahahaha
Answers
Answer:
19
Step-by-step explanation:
2d= 2 x 8= 16
16+3= 19
Answer:
Step-by-step explanation:
2d + 3 (d=8)
(2*8) + 3 =
16 + 3 =
19
A jewelry store is having a going out of busniess sale. All merchandise is marked 40% off the reguler price. The regualr price of a watch is $59.95. Find the amount of the discount and the sale price.
Answers
Answer:
Amount of the Discount: $23.98
Sale Price: $35.97
Step-by-step explanation:
In order to calculate the discount we first need to turn this percentage into a decimal by dividing it by 100. Once we have it in decimal form we subtract that value from 1. Finally, we multiply this new decimal by the original price in order to obtain the sale price like so...
40 / 100 = 0.40
1 - 0.40 = 0.60
0.60 * 59.95 = 35.97
Now we have the sale price which is $35.97 now we can subtract this value from the original price to calculate the amount of the discount.
59.95 - 35.97 = 23.98
what is the slope for the graph in the question?
1/3
3
2
1/2
Answers
Answer:
3
Step-by-step explanation:
its the answer becuase thats what the answer is
Which one is correct?
Answers
Answer:
3
Step-by-step explanation:
What question can you never answer yes to? I will give brainliest I also have other riddles that havent been answered yet.
Answers
Answer:
Are you sleeping?
What is 1/4 divided by 9/10 rewritten with an important fraction?
Answers
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {10}{36}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {5}{18}[/tex]
The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now.
a.5,358
b.6,570
c.31,212
d.35,150
e.36,570
Answers
Answer: I’m not for sure but I got 31,212
Step-by-step explanation: You multiply 30000 to 1.02 and then with the 2 and the 10 you divided and get 31,212
The population change between these years is (a) 5358
The population model is given as:
[tex]\mathbf{P(t) = 30000(1.02)^t}[/tex]
When t = 2, we have:
[tex]\mathbf{P(2) = 30000(1.02)^2}[/tex]
[tex]\mathbf{P(2) = 31212}[/tex]
When t = 10, we have:
[tex]\mathbf{P(10) = 30000(1.02)^{10}}[/tex]
[tex]\mathbf{P(10) = 36570}[/tex]
The population change is then calculated as:
[tex]\mathbf{\Delta P = P(10) - P(2)}[/tex]
So, we have:
[tex]\mathbf{\Delta P = 36570 - 31212}[/tex]
[tex]\mathbf{\Delta P = 5358}[/tex]
Hence, the population change between these years is (a) 5358
Read more about population change at:
https://brainly.com/question/20401046
7.
NOT TO
SCALE
8.
Р
С
B
In the diagram. PQ is parallel to BC.
APB and AQC are straight lines.
PQ = 8 cm, BC = 10 cm and AB = 9 cm.
Calculate PB
Answers
Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
[tex] \frac{AB}{AP} = \frac{BC}{PQ} [/tex]
Plug in the values
[tex] \frac{9}{AP} = \frac{10}{8} [/tex]
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
how do i find the angle of a triangle with no sides or angles given
Answers
Answer:
from angle sum property use 180 degree
Step-by-step explanation:
180 is equal to 3x
180/3
60
What is the Slope of the line?
Answers
Answer:
1/2
Step-by-step explanation:
●••□■♤□●|□¤○|€♡■●~3}£₩9¥¥♡♡■{{6899
HELP PLZ ASAP T^T
1. 90% of 250 is
2. 65% of 400 is
3. 85% of 800 is
Answers
Answer
1= 225
2= 260
3= 704
-3/7 * 3/8
*= times PLEASE HELP ITS MISSING WORK PLEASE
Answers
Answer:
ok so -3x3 is -9 and 8x7 is 56 so i think its -9/56
Step-by-step explanation:
Answer:
-0.16071428571
Step-by-step explanation:
:) (its true)
