Answers
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]
Related Questions
Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar
A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.
B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.
C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6
Answers
Answer:
Step-by-step explanation:
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ,
(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)
Answer:
the answer is D
hope this helpful
Please HELP! I'll give a Brainliest to the correct answer.
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A hardware store sells 2 gallons of paint and a paintbrush for a total of $45. Last year, Katy bought 4 gallons of paint and a paintbrush in order to paint her porch and paid a total of $85. The system of equations below represents this relationship.
2x+y=45
4x+y=85
This year, Katy needs to paint a shed, so she buys more paint and paintbrushes. She replaces the equation 4x+y=85 with the equation 6x+2y=130, which is the sum of 4x+y=85 and 2x+y=45.
Determine whether each statement below is true. Select (Yes) or (No) for each statement.
The price of a paintbrush this year is $5.
The price of a gallon of paint thi year is $25.
The price of a paintbrush this year is the same as it was last year.
The price of a gallon of paint this year is the same as it was last year.
This year, Kelly buys 6 gallons of paint and 2 paintbrushes for $130.
Answers
Answer: True false true false false
Step-by-step explanation:
Answer:
Step-by-step explanation:
True false true true
Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function? x ≥ 0; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 0; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot
Answers
Answer:
D x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
Step-by-step explanation:
Apply this method when doing problems similar to this one.
9514 1404 393
Answer:
(b) x ≥ 1; f⁻¹(x) = 1+√(x+1)
Step-by-step explanation:
We can find the inverse function by solving for y:
x = f(y)
x = y² -2y
x +1 = y² -2y +1
x +1 = (y -1)²
√(x +1) = y -1
1 +√(x +1) = y
So, the inverse function is ...
[tex]f^{-1}(x)=1+\sqrt{x+1}[/tex]
For this, the root will be non-negative, so the minimum value of this function is 1. That is, the minimum value of x for which the original function has this as an inverse is 1.
The domain restriction is x ≥ 1.
The inverse function is f⁻¹(x) = 1+√(x+1)
Item 9
Question 1
Solve the inequality. Graph the solution.
t−4≤−14
Answers
The solution of the given inequality is t ≤ -10.
What is inequality?When two values are not equal to one another, there is an inequality between them, which is a mathematical concept. It is a claim that one value exceeds or falls short of another.
Mathematical symbols for inequalities include (less than), > (greater than), (less than or equal to), and (greater than or equal to).
Given that,
t - 4 ≤ -14
The inequality can be solved as below,
t - 4 ≤ -14
t ≤ -14 + 4
t ≤ -10
Therefore, the solution to the inequality is t ≤ -10.
To know more about inequality follow
https://brainly.com/question/24372553
SPJ2
what is the slope intercept form of the line ?
Answers
Answer:
D
Step-by-step explanation:
Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.
Answer:x+2=y
Step-by-step explanation:
What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.
Answers
Step-by-step explanation:
The formula for the circumference of a circle is 2*pi*radius
Circumference = 2(3.14)(2.1)
= 13.188cm
NEED HELP ASAP! ILL GIVE BRAINLIEST
Answers
Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.
Answers
0.04
step by step explanation:
i’m here for the points sorry
Press A can make 100 forms an hour. The table below shows the productivity of press B. How much faster is press B than press A?
Answers
Answer:
3.3
Step-by-step explanation:
I think so I don't know
Mindy can drive a total of 375 miles on one full tank of gas, witch is 25 gallons. based on this information, what is the constant of proportionality
A 10
B. 15
C.25
D.375
Answers
Answer:
B. 15
Step-by-step explanation:
please help me i’m so confused
Answers
We need to find the angle they are calling “1”, at the bottom of the triangle on the far left of the diagram. In order to find that angle, we have to find the other 2 angles first.
The top left corner of the diagram is marked as a right angle (90 degrees) with a line dividing that angle. If one part is 36 degrees, the other is 54 (90-36=54).
Now look in the middle of the diagram where the 2 lines criss-cross. A straight line is 180 degrees...since we see that the one angle in the middle is 88 degrees, the other part of it must be 92 degrees (180-88=92).
You now know 2 of the 3 angles...54 and 92. All 3 angles of a triangle = 180 degrees so we can write this equation...
54 + 92 + (angle 1) = 180
So angle “1” = 34 degrees
Solve using the elimination method.
2x-3y=7
4x-4y=4
Answers
Answer:
x=4, y=5
Step-by-step explanation:
You obtain an answer by subtracting the second equation from the first.
Step-by-step explanation:
2x-3y=7-----------(1)
multiply by 2 in first equation
4x-6y=14------------ (2)
4x-4y=4---------------(3)
then, subtracting eqn (3) from (1)
4x-6y=14
4x-4y=4
sin change - + -
_________
-2x=10
x=-5
putting value of x on eqn (3)
4x-4y=4
-20-4y=4
-4y=24
y=-6
the 2 triangles are similar. if the perimeter of triangle abc is 28, find the value of x
Answers
so 10 + x - 4 + x - 1.5 = 35
4.5 + 2x = 35
2x = 30.5
x = 15.25
Genie worst five hours on Tuesday three hours on Wednesday 4.5 hours on Thursday if H represents her hourly pay rate which expression below shows the amount she earned
Answers
Answer:
12.5H
Step-by-step explanation:
Number of hours worked per day:
Tuesday = 3 hours
Wednesday =5 hours
Thursday = 4.5 hours
H = hourly pay rate
Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H
= 3H + 5H + 4.5H
= 12.5H
The expression which shows the total amount she earned = 12.5H
Find the side of square , if it's perimeter is 18cm .also find its area
Answers
Answer:
a side of a square with a 18cm ´perimeter would be 4.5cm
area would be 20.25
Step-by-step explanation:
You can calculate the area of a square by using both the length of one side and its perimeter. Divide the perimeter length by 4 to get the measurement for each side of the square.
I need step by step please w + 4 = (-6)
Answers
Answer:
w = -10
Step-by-step explanation:
[tex]w+4=(-6)\\\\w+4=-6\\\\w+4-4=-6-4\\\\\boxed{w=-10}[/tex]
Hope this helps.
The answer is -10
4 + -6 is -10
Or if you’re not finding the sum it’s 4w = -6.
I hope this helped!
Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, "I can't believe I paid 125% of what you paid, Han!" Is what she said true? Explain. 14.3
Answers
clare bought it for 10 dollars and Han bought it for 8 dollars
you can set up a proportion 10/8 = x/100 and solve
1000 = 8x
125 = x
so yes, she was correct in saying this
Answer:
Step-by-step explanation:
e
Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?
Answers
Answer:
Yes, There is significant difference.
Step-by-step explanation:
Null Hypothesis , H0 : Mean income = 15000
Alternate Hypothesis , H1 : Mean income ≠ 15000
t = (x - u) / ( s / √n)
x = sample mean = 14500 here, u = population mean = 15000 here , s = standard deviation = 975 here , n = sample size
t = (14500 - 15000) / (975 / √169)
-500 / 75 = - 6.66
As calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠ 15000'
WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER!!! PLEASE ANSWER ALL QUESTIONS AND PLEASE SHOW FULL SOLUTIONS! PLEASE MAKE SURE YOU DID IT RIGHT. I NEED EVIDENCE THAT SHOWS WHY ITS THE ANSWER. THANK YOU.
Answers
Hey there!
Here is a graph of the points:
A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.
A line of best fit is a line that goes evenly through the points, or as best as it could.
(05.05) Which of the following inequalities matches the graph? (1 point)
Answers
Answer: Choice A. [tex]x \le -7[/tex]
=====================================================
Explanation:
Every point in the shaded region has an x coordinate that is equal to -7 or smaller.
Example points include
(-8, 0)(-10, 2)(-9, -5)The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.
7 more than a number w is -2
Answers
Answer:
w+7=-2
Step-by-step explanation:
Someone please explain
Answers
Answer:
D) 6
Step-by-step explanation:
set Q has 16 values which are all even values from 4 to 36
set Z has 11 values that are multiples of 3 from 4 to 36 (6,9,12,15,etc.) however, we have to eliminate the odd ones, leaving the following six:
6, 12, 18, 24, 30, 36
Answer:
D. 6
Step-by-step explanation:
Key skills needed: Set Similarity
1) The easiest way to teach this is by writing out each set, but I will show it to you in 2 ways.
2) The first way is by writing everything out.
Set Q = 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36
Set Z = 3,6,9,12,15,18,21,24,27,30,33,36
(I only wrote out Set Z to 36 since Set Q ends at 36. Anything greater than 36 won't even be there in Set Q, so no point in writing more.
The numbers that are common in both sets are --> 6,12,18,24,30,36Therefore D would be your answer.3) The next way is with using a simple pattern.
Set Q contains all even numbers from 4 to 36
Set Z contains all multiples of 3 (no limits)
Therefore, the numbers that are in both sets would be:
The even multiples of 3 that are bigger than 4 and less than 36.
4) Those even multiples of 3 would be ---> 6,12,18,24,30,36
That means there are 6 numbers in common. That means D is your answer.Both show that D is the answer, so I would say D as the answer very confidently.
Hope you understood and have a nice day!! :D
math please help me please help me please help me
Answers
Answer:
Step-by-step explanation:
Step One: Cancel 3x and 6x.
6x/3x = 2
Step Two: Factor x^2 + 5x + 6
(x+3)(x + 2)
Step Three: Factor x^2 + 9x + 14
(x + 2)(x +7)
Answer
2*(x + 3) / (x + 7) The (x + 2 )s cancel out
Which of the following explains why space objects are massive in size?
Icy and gaseous material was pushed out by the sun's heat.
Hydrogen atoms fused to form helium due to high pressure.
Large objects clumped together due to gravity to form larger objects.
Large objects were broken apart due to gravity to form fine stellar dust.
Answers
Answer: C) Large objects clumped together due to gravity to form larger objects.
Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.
Answer:
Large objects clumped together due to gravity to form larger objects.
Explanation:
All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.
9. Write the equation of a line that is PERPENDICULAR to 6x+3y=15 and passes
through the coordinate (12,-5).
Answers
Answer:
y = 1/2x - 11
Step-by-step explanation:
Step one convert to y = mx+b form
6x + 3y =15
Isolate Y
3y = -6x + 15
Divde the 3 among the other numbers
y = -2x + 5
That is the equation
perpindiculr to that is y = 1/2x + 5 but solve for the points and plug in
the points are (12,-5)
So -5 = 1/2 (12) +b
-5 = 6 + b
Solve for B
-5 - 6 = b
b = -11
FINAL EQUATION
y = 1/2x - 11
She writes the expression (0.2) (14). Which change in Mikel's expression will lead her to the correct answer? The 14 in the expression could be changed to 28. The 0.2 in the expression could be changed to 0.4. The 14 in the expression could be changed to 70. The 0.2 in the expression could be changed to 2.
Answers
Complete question :
Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?
Corresponding chart for the problem is attached below.
Answer:
The 0.2 in the expression could be changed to 2.
Step-by-step explanation:
40% of 70
Directly working this out, we obtain :
0.4 * 70 = 28
From the table :
To obtain same from the columns, 0.2 is adjusted to 2.
Hence, 2 * 14 = 28
Which is an irrational number?
HELP PLEASE
Answers
Answer:
First one
Step-by-step explanation:
If you simplify the first answer, the numbers in the answer will not repeat
Does this table represent a proportional relationship?
A) Yes
B) No
Answers
HELP ASAP I’ll GIVE BRAINLIEST :))))
Which of the following does -
Answers
Answer:
Step-by-step explanation:
A
Good luck
Susan drove 754 miles in 13 hours.
At the same rate, how long would it take her to drive 638 miles?
Answers
Answer:
It would take her 11 hours
Hope this is right
Step-by-step explanation: