Answer:
sin²θ
Step-by-step explanation:
Using the trigonometric identities
sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x
cotx = [tex]\frac{cosx}{sinx}[/tex]
Given
[tex]\frac{1-sin^20}{cot^20}[/tex]
= [tex]\frac{cos^20}{\frac{cos^20}{sin^20} }[/tex]
= cos²θ × [tex]\frac{sin^20}{cos^20}[/tex] ( cancel the cos²θ )
= sin²θ
PLEASEE I NEED HELP I WILL GIVE BRAINLIST :))) ( btw im dump)
Step-by-step explanation:
u know u can download math go and u just take a picture and it will give u the answer
Find the measure of 2BDC:
B
22°
D
689
78°
112°
158°
Answer:
angle ADC is shown as a 90 degree angle
90 - 22 = 68
so I would go with 68 degrees
10x - 20 = 4x - 2
How would I do this step by step?
Answer:
3
Step-by-step explanation:
so your gonna have to collect the like terms:
10x - 4x = 6x
-2 + 20=18
new equation: 6x=18 and so you'll have to divide
and it'll be 3
What is the result when you multiply the product of two nonzero numbers by the product of their reciprocals?
Answer:
1
Step-by-step explanation:
Example: 2 nonzero numbers: 2 & 3
2 * 3 = 6
Reciprocals: 1/2 * 1/3 = 1/6
6 * 1/6 = 1
Please help me with this
Answer:
The scale factor is 3
Step-by-step explanation:
The reason is that 12, 15, and 9 equal 4, 3, and 5 if divided by 3
A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?
A. The graph of the function is positive on (2, 4).
B. The graph of the function is negative on (4,infinity).
C. The graph of the function is positive on (-infinity, –7).
D. The graph of the function is negative on (–7, –1).
Answer:
Step-by-step explanation:
c
The correct statement about the graph will be;
''The graph of the function is positive on (-∞, –7).''
Option C is true.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, root of 2 with multiplicity 4, and a root of 4 with multiplicity 1.
And, The function has a positive leading coefficient and is of even degree.
Now,
A polynomial function has a root of –7 with multiplicity 2.
Then, we get;
(x + 7)²
And, a root of –1 with multiplicity 1.
Then, we get;
(x + 1)¹ = (x - 1)
And, a root of 2 with multiplicity 4.
Then, we get;
(x - 2)⁴
And, a root of 4 with multiplicity 1.
Then, we get;
(x - 4)¹ = (x - 4)
So, The polynomial is;
P(x) = a (x + 7)² (x + 1) (x - 2)⁴ (x - 4)
After rearranged we get;
P (x) = a (x + 7)²(x - 2)⁴(x + 1) (x - 4)
Now, We check all options as;
For option A; The graph of the function is positive on (2, 4).
Substitute (x, y) = (2, 4) in the polynomial;
P(3) = a (3 + 7)²(3 - 2)⁴(3 + 1) (3 - 4)
= a × 100 × 1 × 4 × -1
= -400a
Thus, The graph of the function is negative on (2, 4).
So, Option A is false.
For option B; The graph of the function is negative on (4,infinity).
Substitute x = 6;
P(6) = a (6 + 7)²(6 - 2)⁴(6 + 1) (6 - 4)
= a × 169 × 16 × 7 × 2
= 37,856a
Thus, The graph of the function is positive on (4,infinity).
So, Option B is false.
For option C; The graph of the function is positive on (-infinity, –7).
Substitute x = -8;
P(-8) = a (-8 + 7)²(-8 - 2)⁴(- 8 + 1) (-8 - 4)
= a × 1 × 10,000 × -7 × -12
= 840,000a
Thus, The graph of the function is positive on (-infinity, –7).
Option C is true.
Therefore, The correct statement about the graph will be;
''The graph of the function is positive on (-∞, –7).''
Option C is true.
Learn more about the function visit:
https://brainly.com/question/3831584
#SPJ6
find the sloths distance traveled if it is moving at 0.15 moles per hour in 6 hours
Answer:
9
Step-by-step explanation:
you multiply 1.5 x 6
Five friends are sharing 8 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer: 1 3/5
Step-by-step explanation:
From the question, we are informed that five friends are sharing 8 cups of lemonade and that they share the lemonade equally.
The number of cups that each friend gets will be calculated by dividing the number of cups of lemonade by the number of friends. This will be:
= 8 / 5
= 1 3/5
I need help with this one
Answer:
18 inches
Step-by-step explanation:
P=2L+2W
63=2n+2(13.5)
63=2n+27
63-27=2n
36=2n
n=18
815 gal/h = _______________qt/sec
what is true about relations? A. The relation is a linear function. B. The y value increases as x decreased. C. The x increases as y decreases. D.The relation is not a function
Answer:
The answer is A
Step-by-step explanation:
PLEASE HELP!!!!!
Consider the function y = 0.63(1.3)^x.
What is the rate of growth? = ?
Answer:
Step-by-step explanation:
1.3x1.3x1.3x0.63
Find the products mentally
6. (0.8) - 2
(4.5) (0.6).4
Answer:
15.75
Step-by-step explanation:
6(6)-20-32(1/4)
help plz
Answer:
8
Step-by-step explanation:
6(6)-20-32(1/4)
36-20- 8
16-8
8
There are 11 books on a shelf. 4 of these books are new. The rest of them are used.
(a) What is the ratio of new books to used books?
(b) What is the ratio of all books on the shelf to used books?
Answer:
a. 4/11
b. 11-4= 7 used books. So the ratio of used books to all books is 11/7
If a person has 6 tacos and will share with one other person, but the person eats 1.6 more than the other person how much tacos go to each. This could be in decimal form. What would the equation be to solve for x?
Step-by-step explanation:
First, let us assume x = share of the first person who owns 6 tacos and y = the share of the other person whom x shared his tacos with.
[tex]6 = x + y \\ but \: y = 1.6 + x \\ 6 = x + (1.6 + x) \\ 6 - 1.6 = x + x \\ \frac{4.4}{2} = \frac{2x}{2} \\ 2.2 = x \\ \\ y = 1.6 + x \\ = 1.6 + 2.2 \\ = 3.8[/tex]
Brian is a Salesman for a wholesale computer parts company he earns straight commission at a rate of 4% last month his total sales were $82,968 what was his gross monthly income last month
Answer:
the gross monthly income last month is $3,318.92
Step-by-step explanation:
The computation of the gross monthly income last month is shown below:
= Total sales × commission percentage
= $82,968 × 4%
= $3,318.92
hence, the gross monthly income last month is $3,318.92
We simply multiplied the total sales with the commission percentage
What 24 please help me asap
Free brainliest
Answer:
try 4
Step-by-step explanation:
hope this helps
Answer:
4
Step-by-step explanation:
what is 2 2/3 divided by 3/5?
Answer:
4.44444
Step-by-step explanation:
yeah just type it in a calc
share £242 in the ratio 1:2:3:5
Answer:
£22 : £44 : £66 : £110
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 3 + 5 = 11 parts
Divide the amount by 11 to find the value of 1 part of the ratio
£242 ÷ 11 = £22 ← value of 1 part of the ratio, then
2 parts = 2 × £22 = £44
3 parts = 3 × £22 = £66
5 parts = 5 × £22 = £110
Then £242 in the ratio 1 : 2 : 3 : 5 is £22 : £44 : £66 : £110
Callie got a raise. Her initial salary was $37,000. If her new salary is $ 38,295, by what percent did her salary increase?
formula:
old - new
-------------- (divide)
old
- plug in
37,000 - 38,295
------------------------- = - 0.035
37,000
- the order for the top should not matter.
covert this into percentage.
0.035 X 100 = 3.5%
A number decreased by 7 and then divided by 5 is 13
Taco sauce.
$3.84 divide 24 oz.
Answer: 0.16
Step-by-step explanation:
find the length of rs
I will give branilest
Answer:
C. About 6.3 units
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2
√(-2 - -8)2 + (-4 - -6)2
√(-2+8)2 + (-4+6)2
√(6)2 + (2)2
√36+4
√40= 6.32455532034
Graph y = -4/3x + 8
Please be specific and tell me where I don’t really know a very hard explanation but please explain to would help me a lot
Answer:
Graph below
Step-by-step explanation:
Graph of a Function
We are given the function
y = f(x) = -4/3x + 8
Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.
Select values for x={-3, 0, 3, 6, 9}
For x=-3:
y = -4/3(-3) + 8 = 4 + 8 = 12
Point (-3,12)
For x=0:
y = -4/3(0) + 8 = 0 + 8 = 8
Point (0,8)
For x=3:
y = -4/3(3) + 8 = -4 + 8 = 4
Point (3,4)
For x=6:
y = -4/3(6) + 8 = -8 + 8 = 0
Point (6,0)
For x=9:
y = -4/3(9) + 8 = -12 + 8 = -4
Point (9,-4)
Now plot the points in a rectangular grid and join them. The graph is shown below.
Lines are drawn on the gym floor for different sports for basketball playing area is marked so that there is an out of bounds. 2 m wide around the gym the gym is measure 20 m x 15 m what are the dimensions of the basketball court?
Answer:
16 m × 11 m
Step-by-step explanation:
The dimension of the gym is 20 m x 15 m. An outbound of 2m width is to be cut out from the gym to form the basketball court.
The original length of gym = 20 m and original width of gym = 15 m
2 m would be cut at both sides of the gym length for the outbound. Also 2 m would be cut at both sides of the gym width for the outbound. Therefore:
Length of basketball court = 20 m - (2 * 2m) = 20 m - 4 m = 16 m
Width of basketball court = 15 m - (2 * 2m) = 15 m - 4 m = 11 m
Therefore the dimensions of the basketball court is:
16 m × 11 m
what number do you need to add to -11 to get to0?
Place the following in order numbers in order from least to greatest 3.75 4.42 4.09 3.09 4.04
Answer:
3.09, 3.75, 4.04, 4.09, 4.42
Step-by-step explanation:
Ashley has at most $75 to spend on clothes. She wants to buy a pair of jeans that cost $35 and the rest on t-shirts. T-shirts cost $9 each. How many t-shirts can she buy?
Answer:
4 t-shirts
Step-by-step explanation:
75-35 = 40
at most she can buy 4, because if she buys 5, she uses 45 dollars
Jada and lin are comparing inches and feet. Jada says that the constant of proportionality is 12. Lin says it is 1/12
Answer:
Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.
Step-by-step explanation:
Let
Inches = x
Feet = y
Constant of proportionality = k
ratio of feet to inches
x = ky
1 feet = 12 inches
12 = k * 1
k = 12/1
k = 12
Ratio of inches to feet.
y = kx
1 = k * 12
k = 1/12
Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.
