if tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)
Answer:
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9[/tex]
Step-by-step explanation:
Given
[tex]tan\theta = 3[/tex]
Required
Find
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)[/tex]
Calculate [tex]tan(\theta + \pi) \ and\ tan(\theta+2\pi)[/tex]
Using tan rule
[tex]tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}[/tex]
So:
[tex]tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}[/tex]
[tex]tan(\theta + \pi) = \frac{tan\theta}{1 }[/tex]
[tex]tan(\theta + \pi) = \tan\theta[/tex]
[tex]tan(\theta+2\pi)[/tex]
[tex]tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}[/tex]
[tex]tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}[/tex]
[tex]tan(\theta + 2\pi) = \tan\theta[/tex]'
'So:
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)[/tex] [tex]= tan\theta +tan\theta +tan\theta[/tex]
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3[/tex]
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9[/tex]
The seating space around the basketball court is shown below:
What is the perimeter of the total area?
m
What is the area of the seating space?
m2
where are the coeffients?
Divide. round your answer to the nearest hundredth 89.881.57÷5
Answer:
1797631.4
Step-by-step explanation:
yeh
Select all numbers that are solutions to the inequality w < 1.
Answer:
-5, -1.3, 0, and 0.9
Step-by-step explanation:
Answer:
2)-5
3)0
4)0.9
5)-1.3
Step-by-step explanation:
the given inequality tells us that every numbers which are less than 1 are the solution for w
there're only 3 numbers which are less than 1 i.e
2)-53)04)0.95)-1.3Does this graph represent a function? Why or why not?
• A. No, because it is not a straight line.
C B. No,
because it fails the vertical line test.
C. Yes, because it is curved line.
D. Yes, because it passes the vertical line test.
Answer:
Option D is the correct answer
Step-by-step explanation:
D. Yes, because it passes the vertical line test.
5. Which of the following rules could represent a transformation that mapped one shape onto another
to establish their congruence?
A) K(x,y) ---->(x-3,3y)
C) K(x, y) ---->(-y,x+2)
B) K(x, y)
--->(2x, y)
D) K(x, y) - - - - > (5x, 5y)
Answer:
i think it’s C
Step-by-step explanation:
Point A is at (3,5). After being translated 10 units down, what are the coordinates of Point A?
Answer: The required co-ordinates of the new point are (6, 5).
Step-by-step explanation: Given that the point (-3, 15) undergoes a translation of 9 units right and 10 units down.
We are to find the coordinates of the new point.
We know that
if the point (x, y) undergoes a translation of 9 units right and 10 units down, then its translation rule is given by
(x, y) ⇒ (x+9, y-10).
Therefore, the co-ordinates of he new point are given by
(-3, 15) ⇒ (-3+9, 15-10) = (6, 5).
Thus, the required coordinates of the new point are (6, 5).
cindy paid $2.58 for a 2/3 pounds of sunflower seeds. how much does each pound of sunflower cost?
Answer:
3.87
Step-by-step explanation:
2.58/2=1.29=1/3 pounds
1.29*3=3.87
HELP SOON PLEASE!!!!!
help
The formula for the volume of the circular cylinder show is v= r^2h. If r= 2b and h= 5b+3, what is the volume of the cylinder in terms of b?
Answer:
Step-by-step explanation:
The equation for volume is incorrect. The volume of a cylinder with radius r and height h is πr²h.
volume = π(2b)²(5b+3)
= π(4b²)(5b+3)
= π(20b³+12b²)
The formula for the volume of the given circular cylinder in terms of b is [tex]V = 20b^3 + 12b^2[/tex]
The given expression:
volume of circular cylinder, V = r²h
r = 2b
h = 5b + 3
To find:
the volume of the cylinder in terms of bTo find the volume of the cylinder in terms of b, we will substitute the given values of r and h as follows;
[tex]V = r^2 h\\\\V = (2b)^2 (5b + 3)\\\\simplify \ the \ expression;\\\\V = 4b^2 (5b + 3)\\\\remove \ the \ bracket \ by \ multiplying \ through \ by \ 4b^2\\\\V = 20b^3 + 12b^2[/tex]
Thus, the volume of the cylinder in terms of b is [tex]V = 20b^3 + 12b^2[/tex]
Learn more here: https://brainly.com/question/16142311
(15x-7)-(23x-2)
use foil
Answer:
=15x-7-23+2
=-8x-7+2
=-8x-5
Step-by-step explanation:
somebody help me with math:
Which situation would not be represented by the integer -10?
options:
1.A 10 yard penalty
2.You owe $10.
3.A hole 10 feet deep.
4.temperature of 10°.
Answer:
D
Step-by-step explanation:
Just stating the temperature, hope this helps
Answer:
temperature of 10 degrees
Step-by-step explanation:
every other option is negative, like owing $10 means you will have 10 less dollars, a hole 10 feet deep is 10 feet under the ground's surface, so they would be represented by -10. A temperature of 10 degrees is the only positive option :)
Circle the value of 25
10
25
32
Answer:
10
Step-by-step explanation:
How would the following triangle be classified?
A triangle has three unequal sides. One of the angles formed is 90 degrees; the other two angles are less than 90 degrees.
Answer:
Scalene. A scalene triangle has three different angles and none of its sides are equal in length
55 is 22% of what number?
Answer:
250
Step-by-step explanation:
100 / 22 = 4.54545455
4.54545455 x 55 = 250
Answer: 250
Step-by-step explanation:
Ur welcome
(55x100)/22
An arctic cold front is moving through an area. It is 37F when the temperature begins to drop. The scatter plot suggests a linear relationship between the temperature and the number of hours since the cold front arrived. Use the scatter plot to answer parts ac.
Answer: The slope describes the change in temperature for every hour after the cold front arrives.
Step-by-step explanation:
What is the sum?
8+(-12)
-20
-4
4
20
Answer:
-4
Step-by-step explanation:
f(x)=x^(2)-13x+34, find x when f(x)=-2
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Answer:
Let's simplify step-by-step.
−2^2 − 13x + 34
= −4 + −13x + 34
Combine Like Terms:
= −4 + −13x + 34
= ( −13x ) + ( −4 + 34 )
= −13x + 30
Answer:
= −13x + 30
un comerciante vende un artículo en $196 y obtiene como telera con tanto porciento igual al precio del costo del artículo Hallar el costo del artículo
Answer:
$196 es el precio del articulo
21 divided by 4 equals 5 1/4
Answer:
yes
Step-by-step explanation:
The circle graph shows how a family spends its annual income. If $37,800 is used for Housing and Clothing combined, what is the total annual
income?
Answer:
$90000
Step-by-step explanation:
From the pie chart,
Let the total annual income = $y
The percentage of housing = 28 %
The percentage of clothing = 14 %
The combined percentage of housing and clothing = 28+14 = 42 %
If the amount spent on both housing and clothing combined = $ 37800
Therefore,
y(42/100) = 37800
Solve for y
42y = 37800×100
42y = 3780000
y = 3780000/42
y = $90000
Hence, the total annual income is $90000
5th grade math. Correct answer will be marked brainliest.
Answer: The answer would be (0,3)
Answer:
(0,3)
Step-by-step explanation:
The horizontal line is always x, and the vertical line is always y. You can see that D is 0 to the right and 3 up, so the answer will be (0,3)
Given f ( x ) = 7 x + 5 Solve f ( x ) = 19
Answer:
2
Step-by-step explanation:
Given
f ( x ) = 7 x + 5
f ( x ) = 19
Now
f(x) = 7x + 5
19 = 7x + 5
7x = 19 - 5
7x = 14
x = 14 / 7
x = 2
Hope it will help :)❤
Answer:
Step-by-step explanation:
7x + 5 = 19
7x = 14
x = 2
What number is 73 1/4th of
Step-by-step explanation:
70x4=280
12x4=48
48+280=328
A pack of 4 rolls of Charmin cost $3.64. A pack of 32 rolls of Charmin cost $20.80. How much cheaper per roll is it to purchase the bigger pack?
Answer:
.26 cents cheaper a roll
Step-by-step explanation:
to find this you would do 3.64/4 to get the price a roll which is .91
and then you would do 20.80/32 to get the price per roll which is .65
then to get the difference you would do .91-.65 to get .26
Answer this question: -5x - 10y + 7x + 15y
Please try to explain it as best as possible <3
Answer:
2x + 5y
Step-by-step explanation:
-5x - 10y + 7x + 15y
add the ones with the same variables
-5x + 7x - 10y + 15 y
2x + 5y
and there you have the answer "2x + 5y"
How many integers satisfy each inequality?
-2 < x < 5
Answer:
all the numbers from -3 to 4
Step-by-step explanation:
so it would be,, 8 integers in total.
-3,,-2,,-1,,0,,1,,2,,3,,4
Answer:
6
Step-by-step explanation:
-2 , to 5 on a number line would be 6 apart
-1,1,2,3,4,5
Declan's goal is to score 90% on the upcoming science test. If there are 50 questions on the test, how many does he need to answer correctly?
Answer:
45
Step-by-step explanation:
what is the slope of the line through the points (-2,-1) and (4,3)
Answer:
2/3
Step-by-step explanation:
the slope is change of y divided by change of x
[tex]m = \frac{2}{3} [/tex]
Step-by-step explanation:-
[tex]( - 2, - 1) = (x {1} ,y {1}) [/tex]
[tex](4,3) = (x{2} ,y{2} )[/tex]
BY USING SLOPE OF LINE FORMULA
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{(3 - ( - 1))}{(4 - ( - 2))} [/tex]
[tex]m = \frac{(3 + 1)}{(4 + 2)} [/tex]
[tex]m = \frac{4}{6} [/tex]
[tex]m = \frac{2}{3} [/tex]
Using numbers 12,4,5,17,12 make 24.
Helllpppp
Answer: To get 24
Step-by-step explanation
What you would need to do is first multiply 12 x 5 would come out as 60.
Then from 60 you subtract 17 and 12 to get 5. Divide by the 5 that you just got from 17 and 12 and to get 20. Using the 4 add it to the 20 to get 24.