Answer:
theta = [tex]\frac{\pi }{4}[/tex] + 2[tex]\pi[/tex]n, [tex]\frac{3\pi }{4}[/tex] + 2[tex]\pi[/tex]n, [tex]\frac{5\pi }{4}[/tex] + 2[tex]\pi[/tex]n, [tex]\frac{7\pi }{4}[/tex] + 2[tex]\pi[/tex]n
Step-by-step explanation:
sin^2 theta - cos^3 theta = 1
cos^3 theta = 1 - sin^2 theta
sin^2 theta - cos^3 theta = 0
Substitute
sin^2 theta - ( 1 - sin^2 theta ) = 0
Distribute negative
sin^2 theta - 1 + sin^2 theta = 0
Combine same values
2sin^2 theta - 1 = 0
2sin^2 theta = 1
sin^2 theta = [tex]\frac{1}{2}[/tex]
sin theta = +- [tex]\frac{1}{\sqrt{2}}[/tex]
Right Triangle: 1 - 1 - [tex]\sqrt{2}[/tex]
theta = [tex]\frac{\pi }{4}[/tex] + 2[tex]\pi[/tex]n, [tex]\frac{3\pi }{4}[/tex] + 2[tex]\pi[/tex]n, [tex]\frac{5\pi }{4}[/tex] + 2[tex]\pi[/tex]n, [tex]\frac{7\pi }{4}[/tex] + 2[tex]\pi[/tex]n
period of Sin function is 2[tex]\pi[/tex]
Simplify 7x - (3x+2)
Pleaseeeee
Hi there!
[tex]\large\boxed{4x - 2}[/tex]
7x - (3x + 2)
Simplify by distributing the negative sign:
7x - (3x) - (2)
Combine like terms:
4x - 2
Answer:
2(2x - 1)
Step-by-step explanation:
opening the parenthesis and distributing the - sign to both 3x and 2
= 7x - 3x - 2
= 4x - 2
taking 2 common
= 2 (2x - 1)
Tony calculates that 3 cubic metres of concrete is enough for the path.
He decides to use a concrete mix which has:
cement = 1 part
sand = 2 parts
gravel = 3 parts
How many cubic metres of gravel does Tony need?
Answer:
Amount cubic metres of gravel need = 1.5 cubic meter
Step-by-step explanation:
Given:
Parts
cement = 1 part
sand = 2 parts
gravel = 3 parts
Find:
Amount cubic metres of gravel need
Computation:
Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]
Amount cubic metres of gravel need = 3[3 / (1+2+3)]
Amount cubic metres of gravel need = 3[3 / 6]
Amount cubic metres of gravel need = 3[0.5]
Amount cubic metres of gravel need = 1.5 cubic meter
Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
$0.25
$0.37
$0.45
$0.55 Which is it ?
Answer:
1.98*1/8=0.2475
0.2475=0.25
Please help me solve this
Answer:
The 2nd one is 3x+1
The 3rd answer is x+3
Step-by-step explanation:
Given g(x)=4x-1 and f(x)=x-2
Subtracting both
4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1
The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3
Find the slope
of the line passing through the points (3, 4)
and
(8, -3).
Answer:
-7/5
Step-by-step explanation:
I think let me know
Answer:
7/-5 or -7/5
Step-by-step explanation:
This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)
We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula
(3,4). (8,-3)
x1,y1 x2,y2
Slope Formula:
y1 - y2
x1 - x2
Inputting the values:
4 - (-3)
3 - 8
Solve:
7
-5
The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions
I’m practically begging someone please help me!!
Find the absolute value
[5] = ________
Answer:
5
Step-by-step explanation:
the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.
July and two of her friends are going to share 1/4 of a pizza. How much will each person get?
Answer:
1/12
Step-by-step explanation:
Age old help!!!!!!
…….
Answer:
Zoe was 32 years old, which was 4 years ago.
Step-by-step explanation:
When Zoe was 36 years old, her daughter was 1/3 her age, or 12 years old. Therefore, the difference in ages is 24 years.
So, our equation becomes:
4(Z-24) = Z
4Z - 96 = Z
3Z = 96
Z = 32
Assuming Zoe is 36 years old right now, our answer is 4 years ago.
Hope this helped,
~cloud
Since the daughter is 1/3 Zoe's age, she must be 12 since 1/3 of 36 is 12.
Then make a chart like I have done in the image attached.
Since the problem says "how many years ago", we use
our x years ago column in our chart to setup the equation.
If you need any additional help or are confused on a step, let me know!
help please i’ve been in here for hours oookung for answers
Answer:
f(x) = 3.33x - 7
Step-by-step explanation:
We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,
[tex]\rm\implies y = mx + c [/tex]
where ,
m is slopec is y intercept .Here we can see that the line is passing through (0,-7) . Therefore ,
[tex]\rm\implies y- intercept = -7[/tex]
Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,
[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]
Using Slope Intercept Form :-
[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]
Without plotting these numbers, decide which inequalities are true. Check all that apply.
Square root of 7 > 2
Square root of 7 <7
Square root of 7< square root of 8
Square root of 8<2
Square root of 8<8
Answer:
1st,2nd,3rd, and 5th option
Step-by-step explanation:
Let convert the intergers into radical numbers
[tex] \sqrt{7} > \sqrt{4} [/tex]
[tex] \sqrt{7} < \sqrt{49} [/tex]
[tex] \sqrt{7} < \sqrt{8} [/tex]
[tex] \sqrt{8 } < \sqrt{4} [/tex]
[tex] \sqrt{8} < \sqrt{64} [/tex]
As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,
The first option, Second Option, Third Option, and Fifth Option are true.
Answer:
A, B, C, E
Step-by-step explanation:
Did on edg. its right
Tiffany drove from New York to California over the course of 8 days. Each day, she took a one- hour lunch break and a two-hour dinner break. What fraction of the total number of hours in these eight days did she spend breaking for lunch and dinner?
A. 1/8
B. 1/6
C. 1/4
D. 3/8
What is the value of s?
____units
Answer:
[tex]\huge\boxed{s=17}[/tex]
Step-by-step explanation:
ΔADB is the right triangle with a right angle in vertex B. We can use the Pythagorean theorem.
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=15\\leg=8\\hypotenuse=s[/tex]
Substitute:
[tex]s^2=15^2+8^2\\\\s^2=225+64\\\\s^2=289\Rightarrow s=\sqrt{289}\\\\s=17[/tex]
Question 2 of 5
Which two ratios represent quantities that are proportional?
Answer: A
Step-by-step explanation:
(22)(21)=(14)(33)
Write an expression equivalent to 6(x+y)-5 and state which property you used to write
Answer:
6x+6y-5 distributive property
Step-by-step explanation:
6(x+y)-5
Distribute using the distributive property
6x+6y-5
hey can someone help me? thanks
Select the correct answer.
Function ris a continuous rational function with a horizontal asymptote at y = -8.
Which statement describes the key features of s(t) = (x +2) – 12
A. Function s is continuous and has a horizontal asymptote at y = -1.
В. Function shas a point of discontinuity at I = -2 and a horizontal asymptote at y= -9.
C. Function s has a point of discontinuity at r = -2 and a horizontal asymptote at y = -1.
D. Function sis continuous and has a horizontal asymptote at y = -9.
s(x) is continuous and has a horizontal asymptote at y = -9
We know that we have a function r(x) that has a horizontal asymptote at y = -8
Then, what can we say about the function s(x) = r(x + 2) - 1 ?
Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.
So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.
So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.
Then is easy to conclude that:
r(x + 2) also has a horizontal asymptote at y = -8
And our function is:
s(x) = r(x + 2) - 1
So we are subtracting one, then that horizontal asymptote will be at:
y = -8 - 1 = -9
The function s(x) has a horizontal asymptote at y = -9
And because r(x) is continuous, then:
s(x) = r(x + 2) - 1
is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)
Then the correct option is D.
"s(x) is continuous and has a horizontal asymptote at y = -9"
If you want to read more, you can see:
https://brainly.com/question/4084552
Can you answer this math homework? Please!
Answer:
The system has one solution,
Both lines have the same y-intercept,
The solution is the intersection of the 2 lines.
Step-by-step explanation:
please help I will give 10 points
Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
cos(30 +x) =5/3 find x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
I get no solution also (the answer is imaginary).
please help me with this
Answer:
false
Step-by-step explanation:
If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"
Answer: False
Step-by-step explanation: When x is at least 2, x would be greater than or equal to 2. X cannot be less than 2. So, it should be x >= 2.
Hope this helped.
the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.
Let n be the smallest of the three numbers. Then
n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)
Solve for n :
3n + 3 = 5 (n - 21)
3n + 3 = 5n - 105
2n = 108
n = 54
Then the three numbers are 54, 55, and 56.
what is -1/4 as a decimal? help me!!
Answer:
- 0.25
Step-by-step explanation:
Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.
Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?
Answer:
12 miles
Step-by-step explanation:
1/3 of an hour = 20 minutes = 4 miles
1 minute = 4/20 miles
60 minutes = 4/20 x 60 miles
= 4 x 3 miles
= 12 miles
60 minutes = 1 hour
=> 1 hour = 12 miles
Jacks unit rate is 12 miles/hr
Answer:
12
Step-by-step explanation:
There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round
4/0.333333333 = 12.000000001
The answer is obviously meant to be 12.
The other way is more sophisticated, but more accurate.
4/1 // 1/3 This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.
4/1 * 3/1 = 12
The first method is easier to understand. The second is more accurate and more useful for physics.
Write the greatest 4 digit number and express in prime numbers.
Answer:
9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.
Step-by-step explanation:
Find the range of f(x) = 5x - 4 for the domain = {2, 4, 6}]
Answer:
Step-by-step explanation:
For this question they are asking you to find y when x is {2, 4, and 6}
That means you need to plug 2,4, and 6 into the equation and solve.
For example:
f(x) = 5x - 4
f(2) = 5(2) - 4
f(2) = 10 - 4
f(2) = 6
f(x) = 5x - 4
f(4) = 5(4) -4
f(4) = 20 - 4
f(4) = 16
f(x) = 5x - 4
f(6) = 5(6) - 4
f(6) = 30 - 4
f(6) = 26
Answer:
6,16,26 is the answer
Step-by-step explanation:
what is the value of g(2)?
Answer:
g(2)=1
Step-by-step explanation:
We need to use the second definition of the function since x=2
g(2) = 2^3 -9(2)^2 +27(2) -25
= 8-9(4) +54 -25
= 8-36+54-25
= 1
SOMEONEEEEE PLEASEEEEEE HELPPPPP MEEEEEEEEE ASAPPPP!!
Answer:
8/15
Step-by-step explanation:
Since this is a right triangle
tan C = opp side / adjacent side
tan C = 8/15
A number is equal to three times a smaller number also the sum of the smaller number and four is the larger number the situation is right on the corner playing below where X represents the smaller number and why represents the larger number
Answer:
I'm assuming that "why" is not part of this problem so this too is not answerable
similar right triangles, i need help with this please
Answer:
Step-by-step explanation:
the answer is a)
Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m
Find the area of just the trench.
Answer:
Area of the rectangular trench = 1 square meter
Step-by-step explanation:
length of the garden = 2 1/2 m width of the garden = 2 m
length of both garden and trench = 3 1/2 m
width of both garden and trench = 3m
Length of the trench = Difference in length
= 3 1/2 m - 2 1/2 m
= 7/2 - 5/2
= (7 - 5) / 2
= 2/2
= 1 m
Length of the trench = 1 m
Width of the trench = difference in width
= 3 m - 2 m
= 1 m
Width of the trench = 1 m
Area of the rectangular trench = length × width
= 1 m × 1 m
= 1 m²
Or
1 square meter
Area of the rectangular trench = 1 square meter
