Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex] to get
[tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]
Then find a common denominator:
[tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]
But now make that one fraction:
[tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]
But that's just sin^2 on the top
[tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]
Split that fraction up:
[tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]
And tan = sin/cos
[tex]=\tan\theta\cdot sin\theta[/tex]
What is the sign of 37+(-37)
Answer:
0
Step-by-step explanation:
it is neither positive nor negative.
if it helps don't forget to like and mark me
3. There are 32 students in the school play. The ratio of girls to all students
in the play is 5: 8. How many girls are in the play?
4. Two out of three vehicles in a parking lot are SUVs. There are 18 SUVs
in the parking lot. How many vehicles are in the parking lot
Find the volume
A. 150 cm3
B. 180 cm3
C. 90 cm3
D. 90 cm2
Answer:
268 in²
Step-by-step explanation:
The surface area is basically the entire area of the figure. You can do it multiple ways, but this is how I did it. I found the area of each side and added them all together. There are three sets of identical sides. First, we'll calculate the area of the side with lengths 10" and 8".
10 · 8 = 80
There are two of these sides, so currently we have 80 + 80.
Next, the area of the sides with lengths 8" and 3". These are the sides at the top and bottom.
8 · 3 = 24
So to our equation we now have 80 + 80 + 24 +24.
For the final two sides, we have the dimensions 10" and 3".
10 · 3 = 30
To our equation, we add this to get 80 + 80 + 24 + 24 + 30 +30.
Add all these numbers together for 268.
In the correct form, we add the square symbol to show that we are talking about area. The answer is 268 in². Good luck :D
what is 48% of 60? This is for Algebra 1! :)
Answer:
48% of 60 is 28.8.
Find the greatest common factor of 4c3 and 6m2.
Answer:
The GCF is 2
Step-by-step explanation:
Here, we want to find the greatest common factors of the two terms
We have the terms written in terms of the products of their multiples as follows;
4c^3 = 2 * 2 * c * c* c
6m^2 = 2 * 3 * m * m
As we can see, the greatest common factor of the two is simple the value 2
Six friends attend a music concert and spend $27 per ticket. They each purchase a souvenir t-shirt. If the friends spend a total of $231, how much does each souvenir t-shirt cost
Answer:
11.50
Step-by-step explanation:
6x27=162
231+-162=69
69 divided by 6 is 11.5
11.5=11.50
11.50 is your answer
Answer:
$11.50.
Step-by-step explanation:
If there are 6 friends, and every ticket costs $27, then we need to multiply.
6 x 27 = 162.
Then, we subtract the cost of the tickets so we can find the total cost of the souvenir t-shirts.
231 - 162 = 69.
Since each of the 6 friends bought a souvenir t-shirt, we divide the total cost by the number of people.
[tex]\frac{69}{6}[/tex] = 11.5.
So, each t-shirt costs $11.50.
Determine the Equation of the line Perpendicular to 2x -3y +5= 0 and passers through (-6,-3)
9514 1404 393
Answer:
3x +2y +24 = 0
Step-by-step explanation:
In general, the equation of a perpendicular line can be found by swapping the coefficients of x and y, then negating one of them. The value of the constant will be what is required to make the line pass through the given point.
The equation will be of the form ...
3x +2y +c = 0
At the given point, (x, y) = (-6, -3), we have ...
3(-6) +2(-3) +c = 0 . . . . substitute the given point coordinates
-18 -6 +c = 0 . . .simplify
c = 24 . . . . . . . . add 24
The general-form equation for the line is ...
3x +2y +24 = 0 . . . . . shown in blue in the attachment
pls help with this its for math pls help
Answer:
first option
Step-by-step explanation:
divide each side by 'wh' to get:
l = V/wh
What is a correct name for the angle shown? R S T O LE O ZS O LEITE O LEFT
Answer:
RTS.
Step-by-step explanation:
This is an obtuse angle.
need help plz.......
Answer:
oh I see. that's an interesting question but the problem is I hate maths
7. Find the area of this trapezoid. Area =
square units. Round to the nearest whole number
1: 84
2: 119
3: 240
4: 168
Answer:
2. 119
Step-by-step explanation:
Explain why this is not a polygon (10 points)
What is the answer to this question?
(3+√5)^2
Answer:
the answer to this is
14 + 6√5
Erica's bill for breakfast at a restaurant was $64. She left an 18% tip. What was the amount of the tip?
Answer:
$11.52
Step-by-step explanation:
18% of 64 is 11.52
Find the surface area of the pyramid.
Answer:
129.6
Step-by-step explanation:
A= 1/2 bh
=7.8 x 9 x 1/2
= 35.1
A= 1/2 bh
=7x 9 x 1/2
= 31.5
31.5 x 3
= 94.5
Add
35.1 + 94.5 = 129.6
А
E E
С
D
B
If mZACD = 100°, then mZACE = [?]°
Answer:
80 degrees
Step-by-step explanation:
a line is always 180 degrees
one side of that line is 100
so, just subtract 100 from 180
you get 80
180 - 100 = 80
I WILL MARK BRAINLIST
At the beginning of the day the temperature was -17°C. At noon the thermometer read -2°C. What is
the total change in degrees Celsius?
Okay so to get this answer u have too Take 17 and subtract 2 This equals 15, So the answer would be 15, This is how I get my answers at least
Find the value of x. X=
Answer: x=9
Step-by-step explanation:
24/36=6/x
24/36=2/3
2*3=6
3*3=9
Answer:
x= 12
Step-by-step explanation:
TOP QUESTION^^ ILL GIVE BRAINLIEST
Answer:
Please read below:
Step-by-step explanation:
To calculate the area, you'll need πr². In this case, 3.14 * r²
If the radius is 50 feet, you'll calculate 50 * 3.14² which equals 492.98, or, B
Hope this helps :)
Pierson bought a stuffed bear priced at $29.95 and paid 8.5% sales tax.
What was the total cost of her purchase?
Answer:
the total cost is 32.50 or 32.49575
Step-by-step explanation:
Answer:
he payed $32.50 for the stuffed bear
Step-by-step explanation:
multiple 29.95 by.085 and then add the number you get to the original
Expand to write an equivalent expression: -14(-8x+12y)
Factor to write an equivalent expression: 36a−16
Answer:
an equivalent expression: -14(-8x+12y)=112x-168y
factor of an equivalent expression: 36a−16=4(9a-4)
given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?
Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1How much money will there be in an account at the end of 10 years if $3000 is deposited at 3% interest compounded
semi-annually? (Assume no withdrawals are made. Use the formula A=P
-p(1-4)
for compound interest,
Answer:
$4040.57
Step-by-step explanation:
A=P(1+(r/n))^nt
P = Principal = 3000
r = rate = 0.03
n = no. times payed each year = 2
t = years = 10
A = 3000(1 + (0.03/2))^(2x10)
A = 3000(1.015)^20
A = 4040.57 (2.d.p)
Hope this helped!
Help please anyone? ASAP!!! GIVING 15 POINTS FOR RIGHT ANSWER PLEASE
Answer:
=1.283 , 0.779 seconds
Step-by-step explanation:
h=2+33t-16t²
when h=18 ft
then18=2+33t-16t²
→ 16t²−33t+16=0
t= [−(−33)±√{(−33) ²−4×16×16)}]/(2×16)
= [33±√{1089−1024}]/(32)
= [33±√{65}]/(32)
=1.283 , 0.779 seconds
At an ice cream shop, three flavors are increasing in demand. Last year, banana, pumpkin, and rocky road ice cream made up 13% of total ice cream sales. This year, the same three ice creams made up 18.1% of ice cream sales. The percentage of rocky road sales doubled, the percentage of banana sales increased by 50%, and the percentage pumpkin sales increased by 20%. If the rocky road ice cream had one less percent of sales than the banana ice cream, find out the percentage of ice cream sales each individual ice cream made last year
Answer:
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
Step-by-step explanation:
From the question we are told that
1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]
2nd year sales:[tex]S_2=18.1\%[/tex]
Rocky road sales doubled
Banana sales increased by 50%
Pumpkin sales increased by 20%
Rocky road ice cream had one less percent then banana
Let
Banana =x
Pumpkin=y
Rocky road ice cream=z
Generally the first year equation is given mathematically as
[tex]x+y+z=13......(1)[/tex]
Generally the second year equation is given mathematically as
100% increase in Rocky road ice cream sales()z i.e double
[tex]2*z=2z[/tex]
50% increase in banana ice cream sales()x
[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]
20% increase in pumpkin(y)
[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]
Therefore second year equation is given as
[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]
Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as
[tex]1.5x-2z=1........(3)[/tex]
Therefore combining the three equations
x+y+z=13
1.5x+1.27y+2z=18.1
1.5x-2z=1
matrix form
[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]
Generally the determinant of the first three columns
[tex]\triangle=1.8[/tex]
Solving with Crammers Rule by solving Determinant when;
Column 4 replace column 1
[tex]\triangle_1=5.8[/tex]
Column 4 replace column 2
[tex]\triangle_2=14.15[/tex]
Column 4 replace column 3
[tex]\triangle_3=3.4[/tex]
Therefore x is given my
[tex]x=\frac{\triangle_1}{\triangle}[/tex]
[tex]x=\frac{5.8}{1.8}[/tex]
[tex]x=3.22[/tex]
Therefore y is given my
[tex]y=\frac{\triangle_2}{\triangle}[/tex]
[tex]y=\frac{14.15}{1.8}[/tex]
[tex]y=7.86[/tex]
Therefore z is given my
[tex]z=\frac{\triangle_3}{\triangle}[/tex]
[tex]z=\frac{3.4}{1.8}[/tex]
[tex]z=1.89[/tex]
Therefore
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
The difference between 3 1/2 and 1 4/6 is _____.
A. 1 4/5
B. 2 4/5
C. 2 7/10
D. 1 7/10
Answer:
1 5/6.
Step-by-step explanation:
3 1/2 - 1 4/6
= 3 1/2 - 1 4/6
= 7/2 - 10/6 The LCM of 2 and 6 is 6 so:
= 21/6 - 10/6
= 11/6
= 1 5/6.
Hi guys can you answer this question
Answer:
160403.47
Step-by-step explanation:
Please mark as brainliest
7.32*600=4392
4392*0.56= 2459.52
2459.52*3= 7378.56
7378.56/3.45=2138.71
2138.71*75= 160403.47
Answer:
28.5161739131
hope this answer helps you.....
How does Momma act differently when she is with her mother in Alabama compared to how she acts at home in Flint? plz i will gave brainest
Answer:Watson act differently when she is with her mother in Alabama compared with how she acts at home in Flint? Mrs. Watson acts calm in front of her Mother. In Flint, Mrs.
Step-by-step explanation:
At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3
A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors. The colors of the rings in each of 50 cereal boxes are shown in the table below. Based on the data, what is the probability that the next cereal will contain a blue or yellow ring?