Step-by-step explanation:
Step 1: find the names of the two sides we know
triangle showing Opposite, Adjacent and Hypotenuse
Adjacent is adjacent to the angle,
Opposite is opposite the angle,
and the longest side is the Hypotenuse.
Example: in our ladder example we know the length of:
the side Opposite the angle "x", which is 2.5
the longest side, called the Hypotenuse, which is 5
Step 2: now use the first letters of those two sides (Opposite and Hypotenuse) and the phrase "SOHCAHTOA" to find which one of Sine, Cosine or Tangent to use:
SOH...
Sine: sin(θ) = Opposite / Hypotenuse
...CAH...
Cosine: cos(θ) = Adjacent / Hypotenuse
...TOA
Tangent: tan(θ) = Opposite / Adjacent
In our example that is Opposite and Hypotenuse, and that gives us “SOHcahtoa”, which tells us we need to use Sine.
Step 3: Put our values into the Sine equation:
Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5
Step 4: Now solve that equation!
sin(x) = 0.5
Next (trust me for the moment) we can re-arrange that into this:
x = sin-1(0.5)
And then get our calculator, key in 0.5 and use the sin-1 button to get the answer:
x = 30°
JUST EXAMPLE
If you have $10.25 in quarters, how many quarters do you have?
Answer:
you have 41 quarters
Step-by-step explanation:
.....
Find the nth term of this number sequence
15, 12, 9, 6, ...
Answer:
18-3n
Step-by-step explanation:
The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
15, 12, 9, 6..
Now, We can find the nth term as;
First term (a) = 15
Common difference (d) = 12 - 15 = - 3
We know that;
The nth term of the arithmetic sequence is,
⇒ a(n) = a + (n - 1) d
Hence, We get;
The nth term of this number sequence is,
⇒ a(n) = a + (n - 1) d
⇒ a(n) = 15 + (n - 1) (- 3)
⇒ a(n) = 15 - 3 (n - 1)
Thus, The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
Learn more about the arithmetic sequence visit:
https://brainly.com/question/6561461
#SPJ5
Express in vertex form
Y=2x^2 - 2x - 5
Answer:
y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms
= 2(x² - x) - 5
Using the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - x
y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form
Meera is choosing 2 books from the library. She is choosing from a selection of Science fiction, Biography and thriller. She can choose more than one of the same type. Write down all the combinations of two books that she could take
Step-by-step explanation:
She could take two science fiction, two biography, two thriller, one thriller and one science fiction, one thriller and one biography, one science fiction, and one biography
Answer: 3
Step-by-step explanation:
Science Fiction: SF
Biography: BI
Thriller: TH
SF:BI, TH
BI:TH
answer urgently how do i do it
Answer:
x,2 y,4
Step-by-step explanation:
is this what your looking for?
Elise says, "If you subtract 17 from my number and multiply the difference by -3, the result is -61."
What is Elise's number?
Answer:
Elise's number is 112/3.
Step-by-step explanation:
You can form the equation: [tex]\left(x-17\right)\cdot -3=-61[/tex]
Solution: [tex]\frac{\left(x-17\right)\left(-3\right)}{-3}=\frac{-61}{-3}[/tex]
[tex]x-17=\frac{61}{3}[/tex]
[tex]x-17+17=\frac{61}{3}+17[/tex]
x=112/3
This is slopes— what is ( -11, -2 ) ( -15 , -18 ) ?
Answer:
m = 4
Step-by-step explanation:
The slope of two given points are:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points of (-11, -2) & (-15, -18).
[tex]m = \frac{-18+2}{-15+11} = \frac{-16}{-4}=\boxed{4}[/tex]
The slope of the line is 4.
Hope this helps.
Which one doesn’t belong?
A. 1 ticket for $1.80
B. $9 buys 5 tickets
C. 9 tickets for $15
D. 10 prizes for $18
Explanation:
helpppppppppppppppppppppppppppppppppppppp
Answer:
a). 10
b). 14
c).12
d). 10
Step-by-step explanation:
Answer:
a) 10/55
b) 12/14
c) 9/12
d) 10/15
Step-by-step explanation:
How do you solve 100^(5x+2)=1000^(4x-1)?
Identify the domain and range, then tell if the relation is a function
Answer:
D: (-3, 0, 2, 9)
R: (4, 6, 7)
This relationship is a function as there are no two input that have the same output.
Step-by-step explanation:
This relationship is a function as there are no two input that have the same output.
The range is the second output (y-value) which is (4, 6, 7).
The domain is the first element (x-value) of a relation or function which is (-3, 0, 2, 9)
Hope this helps!
pls help me for my geometry class
Answer:
I CANT SEE SRY
Step-by-step explanation:
yo ill give brainliest if ur right help pls
Answer:
B or C. Im thinking C.
Step-by-step explanation:
Answer:
C, look at the problem and it says plus" directly look at the option and compare.
Step-by-step explanation:
3 7 2 4 7 5 7 1 8 8
what is the median
Answer:
6
Step-by-step explanation:
you can find the mean by adding up all of the numbers, and then dividing that total by the amount of numbers in the sequence.
The 1st one was doable, but I don't understand the 2nd Question.
Answer: ? What are you talking about?
Step-by-step explanation:
i need the answer for
3-3 Mini Assessment | Constant of Proportionality in Graphs
Question
POSSIBLE POINTS: 1
The relationship between the number of ounces of tea purchased and the total cost of the tea is proportional as shown in the graph.
Which equation models this relationship?
y = 7/4x
y = 4/7x
y = 4/1x
y = 1/4x
Answer: y= (7/4)x
Step-by-step explanation:
Build a table of representative values and then calculate the slope between any 2 of the points. I'll pick (2,3.5) and (8,14) [See attachment. ]
The slope is the Rise/Run:
Rise = (14 - 3.5) = 10.5
Run = (8-2) = 6
Slope = Rise/Run: (10.5/6) = 1.75
The equation should read y = 1.75x.
None of the options works, as written, but note that 7/4 looks close to 1.75. In fact, 7/4 = 1.75.
Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase). The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph. Excellent correlation, considering the difficulty in making precise graph readings.
Therefore y = (7/4)x
randall wants to fill up 40 percent of the scare containers. what is this number as a fraction
Answer:
2/5
Step-by-step explanation:
Normally, percentage is expressed in 0 - 100 so for Randall to fill up 40% of his container, that means he'd fill out 40 out of a hundred. That's 40/100 which simplified will give you 2/5
what be the answer to this here mathematical equation and how do ye solve it? Asking for my pirate friend 7+x/3 = 2x-5
Answer:
YESSIR
Step-by-step explanation:
Write an equation in slope-intercept form from the following points:
(-4,6) and (0,7)
Answer:
y = 1/4 * x + 7
Step-by-step explanation:
We start with the equation for slope-intercept y = mx + b -
Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.
We first find the slope by using this equation (y2 - y1) / (x2 - x1) -
(7 - 6) / (0 - (-4))
1 / (0 + 4)
Slope = 1/4
Now we insert the slope into the equation -
y = 1/4 * x + b
As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -
(The equation already tells you the y-intercept (0, 7) but for checking, we will insert the point in too)
7 = 1/4 * 0 + b
7 = b
b = 7
The y-intercept of the line is (0, 7)
We insert the y-intercept in the equation -
y = 1/4 * x + 7
y = 1/4 * x + b is our answer to the problem.
1.what is the y-intercept f (x) = 3x+8/x-4?
a.-2
b.0
c.2
d.4
2.the horizontal asymptote of f (x) = 2x+5/x^2-3x+2?
a. y = -1
b. y = 0
c. y = 1
d. y = 2
3. what is the x - intercept of f (x) = 2x+6/x-1?
a.-5
b.-3
c.-1
d.0
4.what is the vertical asymptote of f (x) = x^2+5x+6/x-5?
a.x = -6
b.x = 0
c.x = 5
d.x = 6
5. what is the zero of f (x) = x^2-25/x+5?
a.-5
b.0
c.5
d.25
6.the oblique asymptote of f (x) = x^2=3x-5/x+2?
a.y = x + 1
b.y = x + 2
c.y = x + 3
d.y = x + 5
The Eubanks Answer:
Step-by-step explanation:hehus
I need help finding the rule.
Answer:
y=3x+1
Step-by-step explanation:
The question is asking for an equation in slope-intercept form. This is y=mx+b, where m is slope and b is y-intercept. The slope is the change is y over the change in x. The y value changes 3 and the x value changes 1. So, the slope is 3/1 or just 3. The y-intercept is the value where the line intersects with the y-axis. Additionally, the y-intercept will have an x-value of 0. On the table, you can see that y=1 when x=0. Thus, the y-intercept is 1. Put the two values into the equation and you get y=3x+1.
Given f(x)=-x-4f(x)=−x−4, find f(4)f(4).
Answer:
1/4 or .25
Explanation
As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.
-0.25-16*.25=-0.25-4
-0.25-4=-0.25-4
-4.25=-4.25
For the function f(x) = -x-4 the value of f(4) is -8.
The given function is f(x) = -x-4.
We need to find the value of f(4).
To find this we have to replace the x value with 4.
Substitute x=4 in the function:
f(4)=-4-4
f(4)=-8
Hence, the value of f(4) is -8.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ3
If P(t) = 5e 0.89t
Then what is p(3)?
please!
Answer:
15.989
Step-by-step explanation:
i dont think you care
Charise's expenses for the month of July are outlined below.
Car insurance: $120.54
Cell phone bill: $55.99
Groceries: $65.00
Her monthly income is $1,050.00. What percentage of her income are expenses?
A.
15%
B.
17%
C.
23%
D.
25%
Answer:
b
Step-by-step explanation:
you add all of the expenses and then yeah
Which expressions are equivalent to a b/c
Answers:
[tex]\sqrt[c]{a^b}[/tex]
[tex](\sqrt[c]{a})^b[/tex]
Answer:
first 1 last 1 third 1 and forth 1
Step-by-step explanation:
what are rates and unit rates give me examples of rates and unit rates
Answer:
Step-by-step explanation:
The unit rate is the rate of the denominator of one unit. Unit rates are very common in our daily lives. For example, when we say we are traveling at 68 miles per hour, we mean we are traveling 68 miles in one hour. We'll write this rate as 68 miles/hour
When a system ofnliner equations has x-terms that are opposites how is x eliminated?
Answer:
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.
TV and WY areparallellines. S T U V W X Y Z Which angles are corresponding angles?
Answer:
A picture provided would be better, but here's a picture to help you find an answer to your question.
Step-by-step explanation:
The two angles marked in red are corresponding angles on a pair of parallel lines. Corresponding angles are ALWAYS congruent to each other.
PLEASE HELP ME ASAP!!!!
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
What is the number?
Enter your answer as a mixed number in simplest form in the box.
PLEASE ANSWER QUICK!!
Answer:
2 2/3
Step-by-step explanation:
hhheeelllppp please i need to simplify
