prove: sinx tanx + sinx/tanx = 1/cosx
Answer:
Look at step-by-step explanation.
Step-by-step explanation:
First write everything in terms of sin and cos:
(sinx)(sinx/cosx) + (sinx)/(sinx/cosx) = (1/cosx)
Then simplify the expression where you can:
(sin^2)/(cosx) + (cosx) = (1/cosx)
Next find a common denominator and add the two numbers on the left side of the equation:
(sin^2)/(cosx) + (cos^2x)/(cos^2x) = (1/cosx)
((sin2^x)+(cos2^x)/(cosx)) = (1/cos)
Finally, use the identity, sin2^x + cos2^x = 1, to simply to numerator:
(1/cosx) = (1/cosx)
Katherine is checking the prices of two different catering companies for her wedding reception. Brenda's Bridal Catering charges $300 for a cake plus $18 per person. Sarah's Complete Catering charges $450 for a cake plus $15 per person. Katherine really likes the cake from Sarah's Complete Catering, so she wants to use that company for her reception. Which inequality can be used to find x, the maximum number of people she can invite to the reception so that the total charge from Sarah's Complete Catering is less than the total charge at Brenda's Bridal Catering?
Answer:
Maximum of 50 persons
Step-by-step explanation:
Straight line equation
let the total prices be y
and the number of persons be x
1. Brenda's Bridal Catering charges
the expression for the charges is
y=mx+c
y=18x+300---------------1
2. Sarah's Complete Catering charges
the expression for the charges is
y=mx+c
y=15x+450---------------2
equating 1 and 2 we can then solve for the number of guest as
18x+300=15x+450
18x-15x=450-300
3x=150
divide both sides by 3
x=150/3
x=50
x<=50
Therefore she can invite a maximum of 50 persons
A jar of pinto beans and black beans has a ratio of 1:1. There are 300 pinot beans. How many beans in total are in the jar?
300
1:1
1*300:1*300
300:300
Whenever the two numbers in a ratio are the same it means that they're equal. Hope this helps :)
Zoey made 9 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4-cup servings. Thirteen people are going on the camping trip. Can Zoey make enough 3/4-cup servings so that each person on the trip has one serving?
Answer:
Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.
Step-by-step explanation:
Zoey made 9 1/2 cups of trail mix for a camping trip.
She wants to divide the trail mix into 3/4-cup servings.
Thirteen people are going on the camping trip.
This means :
1 person = 3/4 cup servings
13 people = x
Cross Multiply
13× 3/4
= 39/4
= 9 3/4 cup
So for Zoey to be able to serve 13 people the trail mix in 3/4 cup servings, she need 9 3/4 cups of the trail mix
From the she made 9 1/2 cups of the trail mix.
Hence, Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.
what is the slope of the following graph?
Answer: 4
Step-by-step explanation:
from point (0,-4), it goes up 4 and over 1, ending at point (1,0)
Answer:
4
Step-by-step explanation:
count the amount of spaces(or lines) to where the second point is(4) and the go right (1) 4/1 simplified is 4.
plz mark brainiest =)
After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
0.04 percent
2.0 percent
4.0 percent
37.3 percent
Answer:
It is C. I think
Step-by-step explanation:
A. will just make the investment smaller, not bigger, so not A. It is not B. because it does not give us the result we want. It's not D. because it is too high of an answer. I think it's C. I hope this helps, and I hope it's not wrong, but I do not think it is.
Can someone please help me asap ill mark brainlist!!!
Answer:
$6.90 would be the answer
Step-by-step explanation:
114.98 * .06
I really need help!!My teacher didn’t explain this!
Answer:
The answer is A -3 is greater than y and y is less than 3
Step-by-step explanation:
I'm not really sure how to solve these either, but if you type the equations into desmos graphing calculator just make sure the highlighted area in desmos is the same as the points on your question and it will be correct.
constant of proportionality.
what is a constant of proportionality?
Answer:
y=k/x
Step-by-step explanation:
Triangle ABC is dilated by a scale factor of 4 to from triangle A’B’C.
The coordinate of vertex A’ are (8,4) ( -4,2) (4,-8) (-8,4
The coordinate of vertex B are (6,6) (12-12) (-12,12)
The coordinate of vertex C are (2,6) (-4,12) (12,-4)
Answer Triangle ABC is dilated by a scale factor of 4 to from triangle A’B’C. The coordinate of vertex A’ are
Step-by-step explanation:
5x+21-7x=-3+3+x-4x+6
what is 35/9 as a proper fraction
Answer:
3 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
PLS HELP THIS IS VERY IMPORTANT
Answer:
22 degrees
Step-by-step explanation:
The total degree of a triangle is 180 degrees.
we are given two degrees already; 90 degrees (from the right angle sign) and 68 degrees from the problem. If we create an equation to reflect this we can find the missing angle:
180 = 90 + 68 + x
180 = 158 + x
x = 22
Step-by-step explanation:
<TSU=68
<STU=90
<SUT=
90+68=158
180-158=22
Find the volume of the solid formed By revolving the region bounded By the graphs of y=x^3, y=1, and x=2 about the line x-axis
Answer:
the y axis will be 1 and the x axis will be 8
I know that the y axis will be 1 because y=1 and I know that the x axis will be 8 because 2 to cubed will be 8 because when you multiply 2 by 2 you get 4 and when you multiply 4 by 2 the answer will be 8 so the axis will be (1,8)
Step-by-step explanation:
Suppose y varies directly with x and y =75 when x = 6. What is the value of y when x = 5?
Answer:
62.5
Step-by-step explanation:
y∞x
y=kx( where k is the constant)
75=6k
75÷6 =k
12.5=k
therefore the relationship between k,x and y is y=12.5x
y=12.5×5
y=62.5
159.8195 as an exponet please helppppp
Answer:
159.8195
1.59x10^2
Step-by-step explanation:
Find f(1/2) for the function:
f(x)=-x^2+x-3
Answer:
this i think
Step-by-step explanation:
PLEASE HELP! URGENT!
1: Write an equation of the line that passes through the points (−2,−7) and (0,−4).
2:Write an equation of a line that passes through the point (2,1) and is perpendicular to the line y=13x+2.
3:You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 weeks the account holds $133. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answer:
1: y=(3x/2)-4 2 :y=(-x/13)+(15/13) 3: y = 13x+55
Step-by-step explanation:
1:
Begin by finding slope
m = (y2-1)/(x2-1)
(-7-(-4)/(-2-0) = 3/2
next use point slope form
y-y1 = m(x-x1) (you can pick any point to use, I will use (0,-4)
y-(-4) = 3/2(x-0)
y+4 = 3x/2
y=(3x/2)-4
2:
The slope of the line y=13x+2 is 13
Take the opposite sign and reciprocal of 13 to get the slope of the line perpendicular; in this case it's -1/13
Next, just like in problem 1, use point slope form.
y-1 = (-1/13)(x-2)
y-1 = (-x/13)+(2/13) (convert 1 to 13/13 for like terms and bring over to the left side)
y=(-x/13)+(15/13)
3:
the intercept will be $55 since it's the initial amount
you know that you deposit some amount every week so set this up as an equation
$133 = m(6)+$55 (the amount deposited every week times 6 +the initial $55 will equal $133)
solving for m gets you $13
so the equation is y = 13x+55
plug in 6 for x to check; 13x6 + 55 = 133
hope this helps
Find each unit rate. Round your answer to the nearest hundredth.
2.
192 students in 4 buses
in each bus
1. type 800 words in 12 minutes
words per minute
3. 357 miles in 5 hours
miles per hour
5. a 10-1b bag of cherries for $33.49
per lb
4. 8 ducks for $23.60
S
per duck
6. 12 chickens lay 30 eggs
cges per chicken
7. Earn $134 in 8 hours
per hour
8. 3 pizzas for $19.99
each
9. 3500 calories for 6 servings of pie
calories per serving
$37.29 for 2 pairs of jeans.
cach
10. 351 chairs in 27 rows
chairs in each row
12
$37.29 for 2 pairs of ducks
per duck
13
24 senior citizens in 12 RVS
in each RV
14. 7 penguins for S188.88
cach
Is the angle between side AE and DE, angle AED or just angle E?
URGENT!!!
Answer:
just angle E
it could have 3 different names tho
1 ADE
2 CEB
3 E
so it could be either of them
If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, What is the intersection of the set A and set C? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 9} {1, 2, 3, 4, 5, 6, 7, 9} {3, 5, 6} {3, 5, 6} {1, 2, 3, 5}
Answer:
[tex]A\,\cap\,C = \{3,5,6\}[/tex]
Step-by-step explanation:
From Set Theory we know that intersection is a binary operation between two sets consisting in labeling the common elements of both sets. If [tex]A=\{1,2,3,4,5,6\}[/tex] and [tex]C =\{3,5,6,7,8,9\}[/tex], then [tex]A\,\cap\,C = \{3,5,6\}[/tex].
is 5:4 equivalent to 4 and 30
Answer: No
Step-by-step explanation:
The only two equivalent ratios to 5:4 are 8:10 and 12:15.
is | x - 5 | < 22 a intersection or union?
Answer:
union
Step-by-step explanation:
because yes
Help me on this please
Answer:
B. y=1/3x+4
Step-by-step explanation:
The graph shows a line with a slope of -3. Perpendicular slopes is the reciprocal with a different sign (positive or negative). The perpendicular of -3 is 1/3, and B. is the only option with this slope.
Answer:
B. y=1/3x+4
Step-by-step explanation:
If the only zeros of a degree four polynomial function, f, are (-3, 0), (1, 0), and (3, 0), which statement(s) is always true about this function? *
5 points
Captionless Image
I only
I and III only
II and III only
I, II, and III
Answer:
It’s c
Step-by-step explanation:
Which expression is equivalent to StartFraction 1 Over 1 minus 2 sine squared (x) EndFraction?
StartFraction 1 Over cosine (2 x) EndFraction
StartFraction 1 Over sine (2 x) EndFraction
Cosine (2 x)
Sine (2 x)
Answer:
A. 1/cos(2x)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge
How many solutions does the equation have?
2x + 5 = 4x + 1
one solution
no solution
infinite solutions
Answer:
The answer is x=2, so one solution
Answer:
one solution
Step-by-step explanation:
The two lines only intersect one time.
the following items were bought on sale complete the missing information in the table
What is the expression in radical form?
(4x^3y^2)^3/10
Enter your answer in simplest form in the box
Answer:
32x
Step-by-step explanation:
just answer number 2
Answer:
C
Step-by-step explanation:
just is lol please make me brainliest
