Answer:
3
Step-by-step explanation:
factors of 12: 1, 2, 3, 4, 6 and 12
factors of 27: 1, 3, 9, and 27
hope it helps :)
i f N(-7,-1) is a point on the terminal side of ∅ in standard form, find the exact values of the trigonometric functions of ∅.
Answer:
[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]
[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]
[tex]tan\ \varnothing = \frac{1}{7}[/tex]
[tex]cot\ \varnothing = 7[/tex]
[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]
[tex]csc\ \varnothing = -5\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]N = (-7,-1)[/tex] --- terminal side of [tex]\varnothing[/tex]
Required
Determine the values of trigonometric functions of [tex]\varnothing[/tex].
For [tex]\varnothing[/tex], the trigonometry ratios are:
[tex]sin\ \varnothing = \frac{y}{r}[/tex] [tex]cos\ \varnothing = \frac{x}{r}[/tex] [tex]tan\ \varnothing = \frac{y}{x}[/tex]
[tex]cot\ \varnothing = \frac{x}{y}[/tex] [tex]sec\ \varnothing = \frac{r}{x}[/tex] [tex]csc\ \varnothing = \frac{r}{y}[/tex]
Where:
[tex]r^2 = x^2 + y^2[/tex]
[tex]r = \sqrt{x^2 + y^2[/tex]
In [tex]N = (-7,-1)[/tex]
[tex]x = -7[/tex] and [tex]y = -1[/tex]
So:
[tex]r = \sqrt{(-7)^2 + (-1)^2[/tex]
[tex]r = \sqrt{50[/tex]
[tex]r = \sqrt{25 * 2[/tex]
[tex]r = \sqrt{25} * \sqrt 2[/tex]
[tex]r = 5 * \sqrt 2[/tex]
[tex]r = 5 \sqrt 2[/tex]
Solving the trigonometry functions
[tex]sin\ \varnothing = \frac{y}{r}[/tex]
[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2}[/tex]
Rationalize:
[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]sin\ \varnothing = \frac{-\sqrt 2}{5*2}[/tex]
[tex]sin\ \varnothing = \frac{-\sqrt 2}{10}[/tex]
[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]
[tex]cos\ \varnothing = \frac{x}{r}[/tex]
[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2}[/tex]
Rationalize
[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}[/tex]
[tex]cos\ \varnothing = \frac{-7\sqrt 2}{10}[/tex]
[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]
[tex]tan\ \varnothing = \frac{y}{x}[/tex]
[tex]tan\ \varnothing = \frac{-1}{-7}[/tex]
[tex]tan\ \varnothing = \frac{1}{7}[/tex]
[tex]cot\ \varnothing = \frac{x}{y}[/tex]
[tex]cot\ \varnothing = \frac{-7}{-1}[/tex]
[tex]cot\ \varnothing = 7[/tex]
[tex]sec\ \varnothing = \frac{r}{x}[/tex]
[tex]sec\ \varnothing = \frac{5\sqrt 2}{-7}[/tex]
[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]
[tex]csc\ \varnothing = \frac{r}{y}[/tex]
[tex]csc\ \varnothing = \frac{5\sqrt 2}{-1}[/tex]
[tex]csc\ \varnothing = -5\sqrt 2[/tex]
Please help me out! And please show your work!
I need help on both
what is the relative frequency as a percent to the nearest tenths of males and females who ride their bike to school when compared to the total population?
Answer:
100 percent - 18 percent
Step-by-step explanation:
answer will come
WILL REWARD BRAINLIEST (40 POINTS PLEASE HELP)
Answer:
first of all I can't see nothing
Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)
Graph two : (0,3) (4,-5)
Help
Answer:
Step-by-step explanation:
HERE ARE THE ANSWERS
Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement.
1. w – 4 > –10
2. 12 ≥ 20x
3. 7y10 ≤ 5.5
4. –3.25 < x – 9.75
Answer:
yes,no, no, yes
Step-by-step explanation:
Which inequality represents all possible solutions of - 4n<16?
4n is the soultioncAnswer:
Step-by-step explanation:
A quartic polynomial P(x) has rational coefficients. If 2 − i and-√5 are roots of P(x) = 0, what are the other 2 roots?
Answer:
2 + i and + √5
Step-by-step explanation:
Since P(x) is a quartic equation, it has 4 roots.
Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.
So, its other two roots are 2 + i and + √5
karen is building a house in Norfolk, Virginia. She would like a bedroom that is 12 feet in length by 10 feet in width. What is the area of the bedroom?
Answer:
POINTFARMER.EXE=EZ
Step-by-step explanation:
Answer:
120 feet^2
Step-by-step explanation:
Is (3, 3) a solution to the equation y
=
x?
yes
no
Answer:
yes
Step-by-step explanation:
What is meant by the order of operations?
Answer:
Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
0.6x + 2.7 = 0.9x
"solve the equation. show all your steps"
Answer:
x=9
Step-by-step explanation:
0.6x+2.7=0.9x
move the terms
0.6x-0.9x=-2.7
collect like terms
-0.3x=-2.7
divide both sides
x=9
CAN SOMEONE PLEASE GIVE ME THE ANSWER TO QUESTION 6? PLS ILY
Answer:
12.5
Step-by-step explanation:
We want to find 1/8 of 100 so we would write it as 100÷8 to get 12.5
Now we know that 12.5 is equivalent to 1/8 but let's double check.
12.5×8 is 100
1/8 ×8 is 8/8
100=8/8
Will mark b for right answer !!!!!
( calculate angels using line and angle relationships)
Answer:
56
Step-by-step explanation:
because it is a right angle so 90 _ 34 = 56
Answer:
the answer should be 56 as 90-34=56
I need help with this answer I would like help !
Identify four tables that show a proportional relationship. Giving correct answer brain and 5 stars!!!
Answer:
The correct answer is A
Step-by-step explanation:
Forget about the decimal nd think about quarters 1 quarter is 25 2 is 50 3 is 75 and 4 is 1.00
Answer:
The answer is A if I understand the question correctly.
Step-by-step explanation:
The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet. What is the area of the backyard?
Answer:
150 square feet
Step-by-step explanation:
Step 1
Find the Length and Width of the backyard
The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.
Perimeter = 2L + 2W
L = Length, W = Width
L = 5 + W
Hence:
50 = 2(5 + W) + 2W
50 = 10 + 2W + 2W
Collect like terms
50 - 10 = 4W
40 = 4W
W = 40/4
W = 10 feet
We find L
L = 5 + W
L = 5 + 10 feet
L = 15 feet
Step 2
What is the area of the backyard?
Area of a rectangle = Length × Width
Area of the rectangular backyard = 15 feet × 10 feet
= 150 square feet
A square has a radius of 10 ft. Find the area of the square
Answer:
Hello hello
Step-by-step explanation:
Answer:
a square does not have a radius
Step-by-step explanation:
but you can find the area by squaring one side
Find the volume of the cone-
Answer:
12.6ft³
Step-by-step explanation:
Hey There!
So the first thing we need to do is find the formula for volume of a cone
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
r = radius
h = hypotenuse
Now all we have to do is plug in the hypotenuse and the radius
[tex]V=\pi 2^{2} \frac{3}{3}[/tex]
2²=4
[tex]\frac{3}{3} =1[/tex]
4xπ=12.5663706144
And now we just round to the nearest tenth
so we can conclude that the volume of the cone is 12.6ft³
If your scale factor is 3/4, how will the scaled copy compare to the original?
It will be the same size.
It will be larger.
It will be smaller.
If a plane traveled 610 miles in 1 hour, how fast is it going?
Answer:
very fast
Step-by-step explanation:
10.2 miles per minute :)
Which equation has exactly ONE solution?
A) 3 + 10x / 2 = 4x + 2
B) 15x − 5 / 3 = 5x + 4
C) 2 + 6x / 2 = 3x + 1
D) 4x − 10 / 2 = 2x − 5
Answer:
the answer is d.
Step-by-step explanation:
please mark brainliest
Answer:
I don't know because
Step-by-step explanation:
A= -1
B)= 17/30
C)= has no solutions
D)= 0
A right rectangular prism has a square base and a volume of 225 cubic centimeters. The height, h, of the prism is 9 centimeters. Find the area of the base, B. A. B. C. D.
Answer:
Area of base = 25cm
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
Volume = length × width × height = lwh
for a square base, length = width
∴ volume = l × l × h = l²h
where:
l = length
h = height = 9cm
volume = 225 cm³
∴ 225 = l² × 9
l² = 225 ÷ 9
l² = 25
∴ length = √ 25 = 5cm
Area of base = Length × Length = 5 × 5 = 25cm
The diameter of a circle is 4 units.
What is the radius of the circle?
units
Answer:
radius = D/2
Step-by-step explanation:
radius= 4unit/2
=2unit
need help ASAP!!! anyone know ??????
Answer:
D
Step-by-step explanation:
HELP PLEASE IM BEING TIMED
Answer:g
Step-by-step explanation: because those sides equal one another if you flip them them same way
What is the slope-intercept equation for the line below?
Answer:
Answer is C
Step-by-step explanation:
What would be the best estimate for the height of a front door?
Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.
Step-by-step explanation:
0.
A mountain climber ascends a mountain to its peak. The peak is 14,090 ft above sea level. The climber then descends 490 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.
13,600 ft
14,580 ft
–13,600 ft
9,190 ft
Answer:
13,600 feet above sea level
Step-by-step explanation:
The climber was at 14,090 feet above sea level, and then they went 490 feet closer to sea level to meet the other climber. Since they’re moving closer to sea level and you want to know how far *above* sea level they are, subtract 490 from 14,090. 14,090-490=13,600 feet above sea level