Answer:
[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]
Step-by-step explanation:
The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:
[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\sin \alpha = \frac{5}{13}[/tex]
[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\cos \alpha = \frac{12}{13}[/tex]
[tex]\tan \alpha = \frac{5}{12}[/tex]
[tex]\cot \alpha = \frac{12}{5}[/tex]
[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]
[tex]\sec \alpha = \frac{13}{12}[/tex]
[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]
[tex]\csc \alpha = \frac{13}{5}[/tex]
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
= 3 /2 ± √ 3
Step-by-step explanation:
Math homework plz help
Answer:
19
Step-by-step explanation:
38/2=19
Answer:
r = 19
Step-by-step explanation:
2r = 38 (Given)
r = 19 (Divide by 2 on both sides)
Asap , question in pic and only answer if you know your right ,thanks
Answer:
It is D
Step-by-step explanation:
Because I did the work and if you count where the middle is it is 1 to the right and 3 up.
Can someone help me
Answer:
9 mi.
Step-by-step explanation:
sorry if i get it wrong ):
Answer:
15/3 equals 5
5 inches
Step-by-step explanation:
Find the slope of each line.
6)
Answer:
(4,7)
Step-by-step explanation:
The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
6,9,2,4,10
Step-by-step explanation:
There are possible multiples that can be divisible by 54.
. _ .
................
Hey there!
I believe the answer to your question is 24.
If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.
Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.
I NEED HELP ASAP
Write an equation in point-slope form with the given characteristics Passes through (1,8) and (-2,3)
Answer:
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
Step-by-step explanation:
1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:
[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]
= [tex]\frac{-5}{-3}[/tex]
= [tex]\frac{5}{3}[/tex]
2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
what is x + 20x (-2)
Answer:
x = 1/20 = 0.050
x = 0
Step-by-step explanation:
either of those
Answer:
Hey bro,
The answer should - 39x i.e minus 39x
2/5 ÷ 1/6 I need the answer step by step the reciprocal kfc and da answer
[tex]\frac{12}{5}[/tex] or [tex]2 \frac{2}{5\\}[/tex]
Step-by-step explanation:You follow KCF (Keep Change Flip)Keep [tex]\frac{2}{5}[/tex] the same
change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]
Flip [tex]\frac{1}{6}[/tex] so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]
After doing those steps your new equation will look like this- [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]
Multiplying[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex] Now all you have to do is multiply
1st- multiply 2x6
2nd- multiply 5x1
[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]
So your answer is [tex]\frac{12}{5\\}[/tex] or [tex]2 \frac{2}{5}[/tex]
Hope my explanation helps you out!
Help help help help
Answer:
c. 12
Step-by-step explanation:
if the pentagons are similar they have a common factor.
the factor between 16 cm and 8 cm is 2, so 6*2 is 12.
ABC is a straight angle.
Find measure of ABX and measure of CBX
Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help
Answer:
3x+9
Step-by-step explanation:
If it’s multiple choice the other one is
x +1+1+1+x +1+1+1+ x +1+1+1
I hope this helps!
ILL MAKE BRAINLEST YOUR GONNA HAVE TO ZOOM IN BUT AM I RIGHT
What is 160.5cm to feet
Answer:
5.265748
Step-by-step explanation:
i did a cm to feet calcu-lator
have good day
The correct answer is 4 feet 17 inches is 160.5 c.m.
How to convert c.m. to feet?The process to convert cm to feet is simple. 1 cm. is equal to 0.025 feet. So you must multiple the unit by 0.025.
Given:
1 feet = 38.48 cm.
1 cm. = 0.025 feet.
160.5 cm = (0.025/1) * 160.5
160.5 cm = 4.1709 feet
4.1709 feet
4.1709 feet = 4 feet + 1709 inches.
We can 4.1709 feet which is equal to 4 feet 17 inches.
Therefore, 160.5 cm is equal to 4 feet 17 inches.
Learn more about c. m. to feet here:
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Please help a bruddah out its 8 pm and I'm grinding on schoolwork.
What number should go in the space?
Multiplying by 0.76 is the same as decreasing by ____%.
Answer:
76%
Step-by-step explanation:
Do turn decimals into percentages you just gotta multiply by 100.
0.76×100=76
Answer:
24
Step-by-step explanation:
I need help ASAP! picture below is what I need
Answer:
Evaluating the piecewise function when X =3, we get f(3) = 7
Step-by-step explanation:
Given the following piecewise function
f(x)= { 2x+1; where x > 0
-3 when x ≤ 0
Evaluate the function when X = 3
We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0
We can't use -3, because x ≤ 0, and 3 is not less than 0.
Now, evaluating the function:
[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]
So, Evaluating the piecewise function when X =3, we get f(3) = 7
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Learn more about the mathematical expression visit:
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What is the coefficient of 7x?
I need to know ASAP
Answer:
The coefficient of 7x is 7
What is the equation of the line represented by the data in the table
Answer: y = -1/2x - 1
Which equation represents a linear function?
Answer:
y=x-3
Step-by-step explanation:
Subject:Mathematics
Re-write the quadratic function below in Standard form
Y= −3(x+1)(x−3)
Answer:
Y=−3x2+6x+9
Step-by-step explanation:
10z + 3 =9z solve for z
Answer:
z=-3
Step-by-step explanation:
Step 1: Subtract 9z from both sides.
Step 2: Subtract 3 from both sides.
ASAP HELP! Which equation is NOT linear?
O y = 5x
O y = 3 + 4x
O y = 2x3 - 1
O y = -3x -7
Answer:
y=5x is not linear
Step-by-step explanation:
option A is not linear
Help please.
Algebra.
It was recently estimated that homes without children outnumber homes with children by seven to five. If there are 3564 homes in the county, how many of them are homes without children
Answer:
2079
Step-by-step explanation:
Homes without children outnumbers homes with children by about 7 to 5 ;
If number of children = 3564
Number of homes without children :
Expressing the relaship interms of ratio :
Without children : with children = 7 :5
Total ratio = 7 + 5 = 12
Number of homes without children:
(7 / 12) * 3564
0.5833333 * 3564
= 2079
*. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2
Answer:
C
Step-by-step explanation:
can anyone help me with the answers?