The angle formed by the terminal ray in standard position is approximately θ ≈ 26.7 degrees (or approximately 0.466 radians).
In standard position, the terminal ray of an angle passing through the point (0.89, 0.45) on the unit circle represents a specific angle.
In standard position, an angle is formed by the initial ray, which coincides with the positive x-axis, and the terminal ray, which starts at the origin (0, 0) and extends to a point on the unit circle. The unit circle has a radius of 1 and is centered at the origin.
Since the terminal ray passes through the point (0.89, 0.45) on the unit circle, we can determine the angle it represents. We can use trigonometric functions to find the angle.
Let θ be the angle formed by the terminal ray. The x-coordinate of the point on the unit circle represents the cosine of the angle, and the y-coordinate represents the sine of the angle.
Therefore, cos(θ) = 0.89 and sin(θ) = 0.45.
To find the angle, we can use inverse trigonometric functions.
Taking the inverse cosine of 0.89, we get θ ≈ 26.7 degrees (or approximately 0.466 radians).
This is the angle formed by the terminal ray in standard position.
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Vincent had 97 rocks in his collection. He found 48 more at the beach. How many did he have in all ?
Answer:
145
Step-by-step explanation:
97+48
7+8=15
9+4+1=14
145
Solve the inequality:
-15 + 5x > 25
Answer:
x > 8
Step-by-step explanation:
-15 + 5x > 25
Add 15 on both sides
5x > 40
x > 8
Answer:
here
Step-by-step explanation:
inequality form ---- x>8
interval form ----- (8,infinite)
What is an equation of the line that passes through the points (4,-4) and (-4,-4)
Answer:
Step-by-step explanation:
Use the formula x-x1/x1-x2 = y-y1/y1-y2
this question is hard help..........
Answer:
sorry i dont know
Step-by-step explanation:
Answer:
.OOF Sorry im not good in math
At the market you can buy 6 bags of apples for $25. At the orchard you can get 8 bags of apples for $35. Which is the better deal?
Answer:
6 bags for $25
Step-by-step explanation:
25/6 = 4.16666666667 = $4.17 per bag
35/8 = 4.375 = $4.37 per bag
The better deal for the bags of apples is at the market
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To determine which is the better deal, we can compare the prices per bag of apples at the market and the orchard.
At the market:
Price of 6 bags of apples = $25
Price per bag of apples = $25 / 6 ≈ $4.17 (rounded to two decimal places)
At the orchard:
Price of 8 bags of apples = $35
Price per bag of apples = $35 / 8 ≈ $4.38 (rounded to two decimal places)
Comparing the two prices per bag of apples, we can see that the price per bag at the market is $4.17, while the price per bag at the orchard is $4.38.
Hence , the better deal is at the market where you can buy 6 bags of apples for $25, resulting in a lower price per bag compared to the orchard.
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Mrs. Beppu's property has four sides. An aerial view of her property is shown below. What term best describes the shape of her property?
Answer:
rectangle
Step-by-step explanation:
From the picture attached below of the aerial view of Mrs. Beppu's house we can see that it is a rectangle. That is because it has 4 sides with only the parallels being the same size. Meaning that both the width and the length of the house are not the same. This removes the possibility of it being a square. Since all the angles seem to be right angles it also removes the possibility of it being a trapezoid. The best choice would be that it is a rectangle.
Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)
Answer:
15x^2−14xy−8y^2−x−y
Step-by-step explanation:
Combine like units.
Answer:
hope it helped
have a good day
Find the original price.
The discount on a toy robot is 40%. The toy robot is on sale for $54?
Answer:
$75.60
Step-by-step explanation:
Well, I don't exactly know why, but I know that you need to 54 multiply by 1.40 to get the answer.
Answer:
$75.60
Step-by-step explanation:
54 increase 40% =
54 × (1 + 40%) = 54 × (1 + 0.4) = 75.6
A newspaper invited readers to call a telephone number and record their comments. The next day they reported that readers overwhelmingly prefer two-way traffic flow to one-way streets. This is an example of: A. A convenience sample B. A self-selected sample C. A systematic sample D. A random sample does anyone know the answer
Answer: Self selected sample
Step-by-step explanation:
They people chose themselves
This is an example of: B. A self-selected sample , Option B is the answer.
What is a self-selected sample ?A self selected sampling technique is one in which the researcher puts out a call or publicises so that individuals and organisations can take part in the survey on their own will which saves the time for searching for the appropriate people .
It is given that
A newspaper invited readers to call a telephone number and record their comments.
This is an example of: B. A self-selected sample
Therefore Option B is the answer.
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Please I need help with these questions its Algebra
1. 14/3
2. 9
4. 5
5. 15
(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)
Turn y=-1/5x-4 into standard form
59:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
39
15
36
Find tan A
a
5
tan A =
13
C.
5
tan A -
12
b.
13
d.
12
tan A =
tan A -
5
Answer:
Step-by-step explanation:
The Big Wheel at a theme park has a diameter of 5m. How far would you travel in one complete revolution of the wheel?
Answer:
15.71m
Step-by-step explanation:
One revolution is equal to the circumference of the wheel
Circumference = πD
22/7 X 5 = 15.71m
Tan(x) *cos(x)*cos(x)= ( the answer should have sin only ) ASAP
This doesn't make any sense because you didn't give a value to cos like you did to sin.
Let me guess the actual question is tan(x)*cos(x) write this in term of sin.
Now from trigonometry identities, we know that tan(x)=sin(x)/cos(x)
So the expression can be written as sin(x)/cos(x)*cos(x)
which results in sin(x) as the answer, if I guessed the question wrong, sorry and please tell me in the comments what the correct question is, because this question doesn't seem complete :)
Dont be shy- drop the answer :)
Answer:
-11x = -55
x = 5
Step-by-step explanation:
Hope that helps!
Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5,6
C.3/16,9/48
D.6/15,4/10
Answer:
b is correct
Step-by-step explanation:
as 7/8 can't be further simplified and it is not making equivalent with 5/6
hope it helps you
please mark me as brainlist
I NEED HELP ASAP WILL GIVE BRAINLYEST
Answer:
-8
Step-by-step explanation:
First simplify the expression to -(2^5)^3/5. Then you get -2^3, which is simplified again to -8.
Two containers of gasoline hold a total of 100 gallons. The big container can hold 20 gallons less than twice the small container. How many gallons does each container hold?
Answer:
The big container holds 60 gallons
The small container holds 40 gallons
Step-by-step explanation:
If the small container held 40 gallons of gasoline then double that would be 80 gallons and 20 gallons less than that would be 60 gallons.
A 45 ounce box of cereal costs $3.99. Find the unit price. Round your unit
price to the nearest cent if needed.
Answer:
0.1125 ounces per cent
The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 453 If s = 2.5 units, what is the value of V?
Answer:
in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units
Step-by-step explanation:
Distance between (-1,-2) and (8,0)
Answer:
9.219544
Step-by-step explanation:
(8 - -1)^2 + (0 - -2)^2 = 85, sqrt 85 = 9.219544
Answer:
Step-by-step explanation:
Distance formula : d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((8-(-1))²+(0-(-2))²)
d=√((9)²+(2)²)
d=√(81+4)
d=√(85)
d = 9.21954445729
1. Which of the following equations would NOT contain the point (4,12)?
A. y=-1/2x+14
B. y=1/2x+8
C.y=-2x+20
D.y=3/4x+9
Answer:
the answer is b hope this helps :)
Im willing to give 20 points maybe even more
A teacher purchased 20 calculators and 10 measuring tapes for her class and paid $495. Later, she realized that she didn't order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measure tape and paid $178.50.
The system represents the situation
`20c+10m=495`
`8c+1m=178.50`
Find the cost of one calculator and the cost of one measure tape using one of our methods of solving systems.
Answer:
Equations are
20c + 10m = 495..............(1)
8c + 1m = 178.5.................(2)
Now , equation (2) * 10 = 80c + 10m = 1785...........(3)
So, Eq. (3) - Eq(1) =
80c + 10m - 20c - 10m = 1785 - 495
60c = 1290
c= 21.5
********************************************************
Now place the value of c in Eq (2)
So , m =6.5
Mark my answer as brainlist answer
Step-by-step explanation:
What is the domain of the function y = 2e graphed below?
Answer:
All Real Numbers
General Formulas and Concepts:
Algebra I
Interval NotationDomain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph and function y = 2eˣ, we see that our x-values span from negative infinity to positive infinity. We also see that we can plug in any number x into our function:
(-∞, ∞)
or
All Real Numbers
Answer: D) all real numbers
Step-by-step explanation:
Si 2X -7 = 3, luego 3X + 1 =
(1) 4
(2)5
(3)7
(4)12
(5)16
Answer:
2x-7=3
2x=3+7
{2x=10}÷2
x=5
꧁꧁꧂꧂
3x+1=
{3x=1}÷3
x=1/3
Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.
Part A
Write a function for the amount that will be in the account after t years.
Part B
What is the value of the account after 8 years?
a) The function is given as follows: [tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]
b) The value of the account after 8 years is given as follows: $7,384.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameter values for this problem are given as follows:
P = 5280, r = 0.042, n = 12.
Hence the equation is given as follows:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]
The value of the account after 8 years is obtained as follows:
[tex]A(8) = 5280\left(1 + \frac{0.042}{12}\right)^{12 \times 8}[/tex]
A(8) = $7,384.
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HELP ASAP! EXPONENTIAL FUNCTIONS
10 + 2.5x > 35 please help meeee
[tex]x > 10[/tex]
Step-by-step explanation:
1) Subtract 10 from both sides.
[tex]2.5x > 35 - 10[/tex]
2) Simplify 35 - 10 to 25.
[tex]2.5x > 25[/tex]
3) Divide both sides by 2.5.
[tex]x > \frac{25}{2.5} [/tex]
4) Simplify 25/2.5 to 10.
[tex]x > 10[/tex]
Therefor the answer is, x > 10.
Algebraic Expression
x + y + 2
Constants | Variable/s/term/s Degree of term
Constants : 1 (the only constant term is 2)
Variables : 2 (x and y)
Terms : 3 ( x, y and 2)
Degree of term : 1
You are designing a simulation for which day of the week people are born. You assign numbers
to each day of the week from, Sunday = 0 through Saturday = 6. You decide to use a sample
size of 20.
Use the random number table to conduct your first trial, working from left to right.
39017 66124 37046 59285 15208 47185 76426 23648
51239 88346 59268 71307 37420 69307 98648 45960
Which chart matches the results from your first trial?
Answer:
The chart should have the pattern 3332333
Step-by-step explanation: