Answer:
[tex]\tan(\theta) =[/tex] undefined
Step-by-step explanation:
Given
[tex]\sin(\theta) = -1[/tex]
Required
Determine [tex]\tan(\theta)[/tex]
We know that:
[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]
This gives:
[tex](-1)^2 + \cos^2(\theta) = 1[/tex]
[tex]1 + \cos^2(\theta) = 1[/tex]
Collect like terms
[tex]\cos^2(\theta) = 1 -1[/tex]
[tex]\cos^2(\theta) = 0[/tex]
Take square roots
[tex]\cos(\theta) = \sqrt 0[/tex]
[tex]\cos(\theta) = 0[/tex]
By tan identity
[tex]\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}[/tex]
[tex]\tan(\theta) = \frac{-1}{0}[/tex]
[tex]\tan(\theta) =[/tex] undefined
Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.
After 10 years, how much total gross income will she have earned for all 10 years?
For example: $40.800 in year one, $41,800 in year two etc.
helppp
Answer:50,400
Step-by-step explanation:
find the value of x HELP PLS
Answer:
x=45
Step-by-step explanation:
both angles are opposite angles with the same measurements
Set your formula up as
x+30=2x-15
30=2x-15-x
45=x
Now substitute 45 in place of x
x+30
45+30 = 75
2x-15
2*45-15 = 75
2x - 15 = x + 30
2x - 15 + 15 = x + 30 + 15
2x = x + 45
2x - x = x - x + 45
x = 45
What is the slope-intercept form equation of a line that has a slope of 1 and passes
through the point (-4, 10)?
Answer:
y = 1x+14
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Substitute the point into the equation
10 = -4+b
Add 4 to each side
10+4 = -4+b+4
14 = b
y = x+14
Perform the operation.
(4x^2+9x-7)-(-7x^2+5x-1)
[tex](4 {x}^{2} + 9x - 7) - ( - 7 {x}^{2} + 5x - 1) \\ = (11 {x}^{2} + 4x - 6)[/tex]
Answer:
11x^2+4x-6
Step-by-step explanation:
[tex]4x^2+9x-7+7x^2-5x+1\\\\simplify: 11x^2+4x-6[/tex]
solve for x rounding to nearest tenth
(No links please) There were 2 red marbles, 3 blue marbles and 5 gold marbles in a bag.
You pulled out 1 red marble and did not replace it. Find the probability of drawing a gold marble next.
Answer:
5/9
Step-by-step explanation:
You started with 10 marbles total. You removed one marble and did not replace it, so you now have 9 marbles. The marble that you removed was NOT a gold marble, so you still have 5 gold marbles.
This means that out of the 9 marbles that you have left, 5 of them are gold.
This means you have a 5/9 chance of drawing a gold marble next.
7. John worked 32 hours last week and 28 hours this week. If he gets paid
$10.50/hour, what was his gross pay for the two weeks? *
Answer:
$630
Step-by-step explanation:
week 1 : $336
week 2 : $294
gross pay : $630
What’s the equation of the line in slope intercept form
Answer:
y = 1/7x + 3
Step-by-step explanation:
Graph
P1(-7,2)
P2(0,3)
m = y2-y1/x2-x1
m = (3-2)/(0-(-7))
m = 1/0+7
m = 1/7
y - y1 = m(x-x1)
y - 2 = 1/7*(x -(-7))
y-2 = 1/7*(x+7)
y = 1/7x+7*1/7+2
y = 1/7x+1+2
y = 1/7x+3
Based on the labels in the diahram of the human eye,the reader can conclude that
What is the domain of the absolute value function below?
-2-
1 2 3 4 5 6 7 8 x
O XS-4
0 x 22
0 (-09-4)
Remember
Domain is set of x valuesRange is set of y valuesHere
there is no starting or ending point
so domain is
(-oo,oo)
The domain of the absolute value function given is (-∞, +∞).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of a function is the set of all the input values and the range of the function is the set of all the output values.
Given is an absolute value function.
Absolute value functions are functions which has the absolute value symbols in the expression.
From the graph, we can see that the value of x moves from negative infinity to infinity.
Domain of the function is the set of input values which is the set of values of x.
So the domain is (-∞, +∞).
Hence the domain is (-∞, +∞).
Learn more about Absolute Value Function here :
https://brainly.com/question/23777839
#SPJ7
Two sides of a right triangle have lengths of 2 centimeters and 5 centimeters. The third side is NOT the hypotenuse. How long is the third side?
Answer:
About 1.625
Step-by-step explanation:
I believe it is 1.625
( 2^2 + b^2 = 5^2 )
Create an equivalent expression. Use^ to notate an exponent. Do not use parentheses.
(2x^3)^4
Sample Answer:
2x^12
Step-by-step explanation:
So whenever an exponent is to an exponent, simply multiply the exponents together:
(2x^3)^4 --> 2x^12
This simplified form of the question is a new, equivalent expression.
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 41 months and a standard deviation of 5 months. Using the empirical rule (as presented in class), what is the approximate percentage of cars that remain in service between 46 and 51 months
Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)
Answer:
9
Step-by-step explanation:
I'm somewhat confused I think you're forgot to put so more information
The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below:
n > -8
The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.
Thus, the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
The missing options are given below.
a) - 2
b) - 9
c) - 10
d) - 20
Theodore deposited $2400 into a savings account for which interest is compounded monthly at a rate of 2.8%. How much interest will he earn after 10 years? *
$58.51
$678.59
$2478.59
$7679.48
How much material is needed to make the Nón Lá Vietnamese leaf hat? Round to the nearest tenth.
The surface area is
in.²
9514 1404 393
Answer:
408.4 in²
Step-by-step explanation:
The lateral area of a cone is ...
LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height
Using the given dimensions, the area of the hat is ...
LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²
The surface area is about 408.4 in².
if two successive discount of 50% are offered on a LCD TV with MRP of rupees 40,000 then find the price offered to the customer....... please tell me,,,,
Multiply the original by the first 50% discount:
40,000 x 0.5 = 20,000
Now multiply that by the second 50 % discount:
20,000 x 0.5 = 10,000
The price would be 10,000 rupees
Answer:
Step-by-step explanation:
[tex]\frac{50}{100}[/tex] × 40 000 = 20 000
Find v.
Write your answer in simplest radical form.
Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90 triangle, the side across from 60° is [tex]\sqrt{3}[/tex] multiplied by the side across from 30°
the side across from 90° (the hypotenuse) is double the side across from 30°
Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dreptunghiului?
Răspuns:
150 m
Explicație pas cu pas:
Reamintim:
Perimetrul unui dreptunghi, P
P = 2 (lungime + lățime)
P = 400
Lățime = x
Lungime = 3x
Astfel, avem:
400 = 2 (3x + x)
400 = 2 (4x)
400 = 8x
Împărțiți ambele părți la 8
50 = x
Lungime = 3x
Lungime = 3 * 50
Lungime = 150 m
Pls help me with this
Answer:
102 degrees
Step-by-step explanation:
Since the total of all the angles inside a triangle must be 180 degrees, we can find out the value of x using a simple equation.
41+37+x = 180
78 + x + 180
x = 102
HELP PLEASEIWJDO!NWDIOJQWILD
Answer:
5.66
Step-by-step explanation:
(-1,-3) (-5,1)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-1)]² + [1 - (-3)]²
√(-4)² + (4)²
√(16) + (16)
√32
= 5.66
Estimate the area of the figure below
Answer:
I think this is the answer 36 unit
how do you put pie into a calculator???
Answer:
either take the value as 3.14 or press SHIFT x10^x
PLEASE HELP ME ASAP In the equation Log2x = y, which of the following CANNOT be true?
O y is negative
O y is positive
x is negative
O x is positive
Answer:
option : x is positive
Step-by-step explanation:
[tex]log_2 x = y => x = 2^y[/tex]
Therefore, x is always positive
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
39
Step-by-step explanation:
sin^-1(x)= 39/62
x= 38.97
x=39
Find the exact value of the following trig ratio given the triangle.
Answer:
9
Step-by-step explanation:
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer:
c
Step-by-step explanation:
An input can only have one output.
Which answer do I pick .
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
easy algebra question below first correct answer gets brainliest