Answer:
3/4Step-by-step explanation:
Given
cosθ = 4/50° ≤ θ < 90°In the first quadrant both sine and cosine are positive, so as tangent.
tanθ = sinθ / cosθ = [tex]\sqrt{1 - cos^2}[/tex]θ / cosθ = [tex]\sqrt{1 - (4/5)^2}[/tex] / 4/5 = [tex]\sqrt{9/25}[/tex] / 4/5 = 3/5*5/4 = 3/4What is the domain of the relation shown in the graph?
A) {0}
B) {1}
C) {2}
D) θ
Answer:
yea its 2
Step-by-step explanation:
pablo drank about 2 ? of juice with lunch.
A)cups
B)gallons
Answer:
2 cups
Step-by-step explanation:
a child could not survive 2 gallons of juice
I need help with this and also the explanation plz
Answer:
The correct answer is 0 or A
Step-by-step explanation:
2/0+2 + 1/5 = 6/0+5
2/2 + 1/5 = 6/5
1 + 1/5 = 6/5
5/5 + 1/5 = 6/5
6/5 = 6/5
What is the length of the line?
Answer:
Its D
square root of 37 = 6.0
Step-by-step explanation:
Choose the correct rule for the graph shown.
A) y = 2x
B) y = 3x
C) y = 2x + 6
D) y = 3x + 3
Answer:
C
Step-by-step explanation:
C i did the test
The correct rule for the graph shown will be;
⇒ y = 3x
What is Equation of line?
The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The graph is shown in figure.
Two points on the graph are (2, 6) nd (3, 9).
Now,
Solve for the correct rule of the graph as;
Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
So, We find the slope of the line as;
Two points on the graph are (2, 6) and (3, 9).
Hence,
m = (9 - 6) / (3 - 2)
m = 3/1
m = 3
Thus, The equation of line in point-slope form passing through the points (2, 6) and (3, 9).with slope 3 is defined as;
⇒ y - y₁ = m (x - x₁)
⇒ y - 6 = 3 (x - 2)
⇒ y - 6 = 3x - 6
⇒ y = 3x
Thus, The correct rule for the graph shown will be;
⇒ y = 3x
Learn more about the equation of line visit:
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Square root 2 Times Square root 10 divided by square root 5
Answer:
2
Step-by-step explanation:
[tex]\sqrt{2} *\sqrt{10}=\sqrt{20} \\\sqrt{20}/\sqrt{5}=\sqrt{4} =2[/tex]
The simplified expression √2 x √10 / √5 is 2.
To simplify the expression √2 x √10 / √5, we can combine the square roots and apply the properties of radicals.
First, let's simplify the numerator, which is √2 * √10.
√2 x √10 = √(2 x 10) = √20
Next, let's simplify the denominator, which is √5.
So, √20 / √5
To rationalize the denominator, we multiply both the numerator and denominator by √5:
= (√20 / √5) x (√5 / √5)
= √(20 x 5) / √(5 x 5)
= √100 / √25
= 10 / 5
= 2
Therefore, the simplified expression is 2.
Learn more about Radical here:
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John and Kamira are playing a game. John scores - 5 in the first round, while Kamira scores 7.
The score recorded at the end of the first round is 2. What could this score represent?
Group of answer choices
the sum of the absolute value of John's score and the absolute value of Kamira's score
the absolute value of the difference of John's score and Kamira's score
the sum of John's score and Kamira's score
the difference between John's score and Kamira's score
Answer:
the sum of John's score and Kamira's score
Step-by-step explanation:
-5 + 7 = 2
Last week, Ann bought 9 books and 5 movies for a total of $124.
Today, Ann bought 4 books and 21 movies for a total of $318.
Assuming neither item has changed in price, what is the cost of a book in dollars?
Answer:
$6
Step-by-step explanation:
Set up a system of equations where b is the cost of a book and m is the cost of a movie:
9b + 5m = 124
4b + 21m = 318
Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:
-189b - 105m = -2604
20b + 105m = 1590
Add the equations together, then solve for b:
-169b = -1014
b = 6
So, the cost of a book is $6
9. The population of a certain animal species increases at a rate of 6.5% per year. There are currently
counted 120 of the animals in the habitat you are studying
Which function will model the expected change in the animal population from this point forward?
Answer:
FV= PV*(1 + g)^n
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 120
Growth rate (g)= 6.5% per year
To calculate the future value of the population in any given year "n", we need to use the following formula:
FV= PV*(1 + g)^n
For example, in 10 years:
FV= 120*(1.065^10)
FV= 225
A room is thrice as long as the breadth. It contains 270m^3 of air and the cost of painting its four walls at Rs 15 per m^2 is Rs. 3600, find the cost of carpeting the floor at Rs. 98 per m^2.
Answer: ₹2646
Step-by-step explanation:
Given
The volume of the room is [tex]V=270\ m^3[/tex]
cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]
So, the area of walls is
[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]
This the area of 4 walls i.e.
[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]
The volume of the room is given by
[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]
So, the length of the room is
[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]
The area of the floor is
[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]
The cost of flooring is
[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]
Can somebody please please help me please
No links or files
Please help I am confused
I will give brainies
Answer: median is two, mean is two, mode is two, range is 13, the data appears to be symmetrical
Step-by-step explanation: hope this helps <3
PLS help asap, brainliest goes to whoever properly explains their answer! (i know the answer is x=3 but i don't know how to get there)
Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f(x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.
Step-by-step explanation:
[tex]2 {}^{x} = 8[/tex]
Take the log.
[tex] log_{2}(8) = 3[/tex]
Please help!!! It's for a timed quiz on conditional probabilities!!!
A researcher randomly surveyed 122 college professors to determine what types of courses they teach and their sleeping habits. The two-way table displays the data.
Suppose a survey respondent is randomly selected. Let M = professor teaches math and B = professor is an early bird. What is the value of P(B|M)?
a. 17/63
b. 16/59
c. 16/33
d. 21/34
Answer:
A
Step-by-step explanation:
A
8.
In the figure, a circle is inscribed in a square
ABCD. If the area of the square is 81 cm², find
the area of the circle.
(Give the answer correct to 3 significant figures.)
Answer:
63.6cm²
Step-by-step explanation:
Area of square = 81
Side of square = [tex]\sqrt{81}[/tex]
= 9
-----------------------------------------
diameter of circle = 9
radius of circle = 9 ÷ 2
= 4.5
area of circle = πr²
= π (4.5)²
= 63.6172512
≈ 63.6 cm²
What is the equation of the line that passes through the point (-7,-4) and has a slope of 11?
Answer:
[tex]y=11x+73[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)y and x stay the same but m and b are replaced with numerical values1) Plug the slope into [tex]y=mx+b[/tex] (m)
[tex]y=11x+b[/tex]
2) Plug the given point into the equation and solve for b
[tex]y=11x+b\\-4=11(-7)+b\\-4=-77+b[/tex]
Add 77 to both sides to isolate b
[tex]-4+77=-77+b+77\\73=b[/tex]
Plug b back into [tex]y=11x+b[/tex]
[tex]y=11x+73[/tex]
I hope this helps!
An initial amount of $2000 is invested in an account at an interest rate of 5% per year, compounded continuously. Find the amount in the account
years. Round your answer to the nearest cent.
Answer:
$2,100.00
Step-by-step explanation:
Answer:
600 dollars a year
Step-by-step explanation:
I=prt is the formula for simple interest.
2000×0.05×6 = 600
Which three points can create a function with a range of {-3,0,4}, select all correct answers.
(4,3) (-3,1) (2,-3) (5,0) (0,2) (7,4)
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Step-by-step explanation:
they need to add up to -56
and multiply to 180
How to do linear functions using the table ?
Answer:
-8 = m-2+b
-2 = m-0+b
4 = m2+b
10 = m4+b
Step-by-step explanation:
You just put them in y = mx+b format
The area of the triangle shown is 9 cm2.
3.6 cm
5 cm
3 cm
What is the perimeter of the triangle?
Answer:
11.6
Step-by-step explanation:
Renita is riding her bike to school. It takes her 5 minutes to travel half a mile. Renita's school is 2 miles from her house. She plans to leave 30 minutes before school and hopes to make it on time. How long will it take Renita to ride to school?
yo I need help pls answer
Answer:
20 min
Step-by-step explanation:
To go 1 mile it takes her 10 min (5 = 1/2 multiply both sides by 2) and to get to school it would take her 2 miles, so it would take 10 min.
I'm asking you, please, a little help.
Nia works at a gas station and earns $15.50 per hour last week , she worked 29 hours .What was her gross pay?
Answer:
$449.5
Step-by-step explanation:
Given data
Earning rate= $15.50 per hour
Number of hours worked = 29 hours
Hence the amount earned is
=15.5*29
= $449.5
Hence the total amount she earned is $449.5
Complete the square to find the vertex of this parabola. x2-16y-4x-12=0
Answer:
Step-by-step explanation:
x^2-16y-4x-12=0
Transpose and separate x and y
16y = x^2-4x-12
16y = (x^2-4x+4) -16
16y = (x-2)^2 -16
y = (1/16)(x-2)^2 -1
This means that the vertex is at
(x-2)=0 or x=2
y = -1
=> vertex (2,-1)
Question in picture 2 1/2 x 1/3
Answer:
B
Step-by-step explanation:
A tire has a circumference of 69.1 inches. To the nearest inch, which is the diameter
of the tire?
Answer:
22 inches
Step-by-step explanation:
so to find the diameter you divide the circumference by pi(3.14)
69.1÷3.14=22.006
now rounding that you get 22
Closest to the doll house!!
Answer:
C
Step-by-step explanation:
Evaluate the expression
1/2⋅8²+3(7)
Answer:
53
Step-by-step explanation:
1/2(64)+(3)(7)
=32+(3)(7)
=32+21
=53
this is area right???
Answer:
Yes
Step-by-step explanation:
So permiter is two*lengths plus 2*width of a shape.
Area is the length times the width.
For examplel if a square has a length of 2, and a width of 3 the permiteter is:
2*2+3*3=
4+9
=
13
On the other hand, area would be:
2*3
=
6
I hope this helps!
The lake Washington Floating Bridge in Seattle has a span of about 6566 feet. How many feet more than a mile is this?
Answer:
1286 more feet
Step-by-step explanation: