The exact value of the expression cos(arcsin(15/17)) is 1.
The inverse sine function, denoted as arcsin, gives the angle whose sine is a given value. Since the range of the sine function is -1 to 1, the range of the arcsin function is -90 degrees to 90 degrees.
In this case, the value of the expression is given by cos(arcsin(15/17)). To find the exact value of this expression, we can first use the definition of the inverse sine function to find the value of arcsin(15/17). Since the sine of an angle is equal to the opposite side divided by the hypotenuse in a right triangle, we can set up the following equation:
sin(x) = 15/17Since the sine function has a period of 180 degrees, we can add or subtract multiples of 180 degrees to the angle x to find the value of the expression for all possible angles. For example,
if x = arcsin(15/17), then x + 180 = arcsin(15/17) + 180, and x - 180 = arcsin(15/17) - 180.Using this information, we can find the values of the expression for all possible angles:
x = arcsin(15/17) => cos(arcsin(15/17)) = cos(x)
= √(1 - sin^2(x))
= √(1 - (15/17)^2)
= √(289/289)
= 1
x + 180 = arcsin(15/17) + 180 => cos(arcsin(15/17) + 180) = cos(x + 180)
= -cos(x)
= -1
x - 180 = arcsin(15/17) - 180 => cos(arcsin(15/17) - 180) = cos(x - 180)
= -cos(x)
= -1
Since the cosine function has a period of 360 degrees, the values of the expression for all possible angles can be expressed as:
cos(arcsin(15/17) + 360k) = 1 for all integers k
cos(arcsin(15/17) + 180 + 360k) = -1 for all integers k
Therefore, the exact value of the expression cos(arcsin(15/17)) is 1.
Learn more about Sine Expression here:
https://brainly.com/question/28160425
#SPJ4
The diagonal of the screen of a laptop computer is 19 inches. The width of the screen is 17 inches. What is the helght of the computer screen in inches?
Answer:
Height of computer screen in inches = 8.48 inches (Approx.)
Step-by-step explanation:
Given:
Diagonal of screen of laptop computer = 19 inches
Width of screen of laptop = 17 inches
Find:
Height of computer screen in inches
Computation:
Screen diagonal, width and height makes a right angle triangle
So,
Using Pythagoras theorem;
Perpendicular = √Hypoteneus² - Base²
Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²
Height of computer screen in inches = √(19)² - (17)²
Height of computer screen in inches = √361 - 289
Height of computer screen in inches = 8.48 inches (Approx.)
Solve the system of equations.
15x + 31y = -3
X = -y + 3
Answer:
its (6,-3)
Step-by-step explanation:
Look at steps below
Find the value of x. Round to the
nearest tenth.
х
12
4
X =
= [ ? ]
Use cosine trigonometric relation.
[tex] Cos~x=\frac{Adjacent} {Hypotenuse} \\\\ \to cos~x=\frac{4}{12} \\\\ \to cos~x= \frac{1}{3} \\\\ x=arccos(\frac{1}{3})\\\\ x \approx 70°[/tex]
Answer:
70.5
Step-by-step explanation:
We use cosine (adjacent over the hypotenuse) to calculate this:-)
Simplify the expression.
4y + 3( y+1) + 2 (x + 5)
Answer:
4y + 5x + 13
Step-by-step explanation:
4y + 3(y + 1) + 2(x+5)
Distribute
4y + 3y + (3 x 1) + 2x + (2 x 5)
4y + 3y + 3 + 2x + 10
Combine like terms
4y + 5x + 13
What is the length of FG?
(Picture of Question Below!)
A. 1.2
B. 3
C. 3.6
D. 4 ( IT IS NOT D!)
E. 6
9514 1404 393
Answer:
C. 3.6
Step-by-step explanation:
AC = FA + FC = 4+6 = 10
AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...
AB² +BC² = AC²
AB = √(10² -8²) = 6
The side lengths of these similar triangles are proportional, so you have ...
FG/FC = AB/AC
FG = FC(AB/AC) = 6(6/10)
FG = 3.6
1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?
In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.
Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.
2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable?
Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.
3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high?
Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why.
Answer:
3 i think??
Step-by-step explanation:
So basically I want to know how many copies of 1 twelfth are equivalent to 3 sixths.
Answer:
We have seen in the above example that 12, 24 and 48 are equivalent fractions. Therefore, 12 can
PLS HELP TIMEDDDDDD I NEED HELP
Answer:
Option 3: 81 pi cu. in
Step-by-step explanation:
Will give brainliest
Find the lateral surface area of
the following cylinder:
3 cm
3 cm
LSA = [ ? ]i cm2
Leave your answer in terms of ri.
Enter the number that goes in the green box.
Answer:
18Step-by-step explanation:
Given,
Radius of the cylinder = 3cm
Height of the cylinder = 3cm
Therefore,
Lateral surface area of the cylinder
[tex] = 2\pi rh[/tex]
[tex] = 2\pi \times 3 \times 3 {cm}^{2} [/tex]
[tex] = 2\pi \times 9 {cm}^{2} [/tex]
[tex] = 18\pi {cm}^{2} [/tex]
Hence,
The required value in the green box will be 18 (Ans)
Answer:
18 pi
Step-by-step explanation:
hop this helps
The vertex of this parabola is at (2,-4). When the x value is 3, the y value is -1. What is the coefficient of the squared expression in the parabolas equation?
A.1
B.-2
C.5
D.3
Answer:
the coefficient of the squared expression in the parabolas equation: D. 3
Step-by-step explanation:
y = a (x-h)² + k parabola equation
y=-1 and x=3 vertex(h,k): (2,-4)
-1 = a * (3-2)² + (-4)
-1 = a - 4
a = -1 + 4 = 3
equation: y = 3 * (x-2)² -4
Answer:
d !
Step-by-step explanation:
ILL GIVE BRAINLEST, find the value of x
Answer:
x=90 degrees
Step-by-step explanation:
It is a right corner. Please give branliest
I need this today plz help
Answer:
the answer is either A or C
Step-by-step explanation:
I'm not sure if it's going from Triangle O to Triangle N
Or if its going from Triangle N to O
3
An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to
each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on W
Pat found a record showing that there were a total of 22 cats and dogs at the she
Wednesday. How many cats were at the shelter on Wednesday?
22.
I’m
Answer:
10 cats were at the shelter on wednesday
Step-by-step explanation:
Complete the equation using an area model 6 3/4 x 3 2/5=
Answer:
22.95
Step-by-step explanation:
PLEASE HELP QUICK I NEED IT TO PASS TIMES ALMOST UP PLEASE HELP I WILL GIVE BRAINLIEST Write 5-8 sentences telling the story of this play. Use your Imagination, tell the story of the picture
Answer:
Maybe write a quick story on a group of adventurers who met at a mansion party to wait for an ancient map to arrive.
I can’t believe this is where I would end up: pretending to be a dog in an improv club. I glanced at Arnold. “You’re doing great. She’s gotta recognize you now!” he whispered, kneeling next to me. I sneak a glance towards the top of the staircase. “Such a lovely sight. A woman in red.” I thought. “Thomas! Thomas, come here!” I hear my name called from above. I smiled to myself, “Success.”
It’s probably a little bit more than 8 sentences and is not the greatest but is something
please help me ASAP!!!
Answer: 8
Because 8 - 11 = -3
Hope it helps.
Answer:
add a positive 8
Step-by-step explanation:
if you add a positive 8 so you will minus by 8 and you get -3 cause negative -11 is bigger then positive +8
Please someone help me with this!!!
Find the indicated term of the given geometric sequence.
a1 = –5, r = 5, n = 5
Answer:
a₅ = -3125
Step-by-step explanation:
Given that,
a₁ = -5, r = 5 and n = 5
The geometric sequence is given by :
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Put all the values,
[tex]a_5=-5\times 5^{5-1}\\\\=-5\times 5^4\\\\=-3125[/tex]
So, the fifth term is equal to -3125.
if <a is 89.5, what is the measure of its complementary angle?
Answer:
The complement of an angle is what, when added to it, equals 90 degrees (90°). For example, in your problem, 90°-85°=5°. This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle.
The supplement of an angle is what, when added to it, equals 180 degrees.
For example, in your problem, 180°-85°=95°. This means that the supplement of 85° is 95°, since they add up to equal 180 degrees a straight angle.
Please help me I'm really struggling.
Answer:
eight chairs.
Step-by-step explanation:
five quarts= 40/8 quarts
one chair= 5/8 quarts
40/8-5/8x=0
(-40/8)/(-5/8)=x
eight chairs
A mirror has a parabolic surface defined by the equation y =¹⁄₂₄ x² with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?
A.) ¹⁄₃₆ in.
B.) ⅙ in.
C.) ⅔ in.
D.) 2⅔ in.
Answer:
ITS C: 2/3 in.
Step-by-step explanation:
edg 21 ^u^
giving out brainliest answer !!!! help me out asap please !!!!
Answer:
Not 100% sure, but its either 28 or 90, Sorry if i messed you up.
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
SOH-CAH-TOA
I used this and chose 2 sides, I chose 15 and 8, ill show you with a pic...
I then put it in the calculator and then got my answer rounded it and I added 90+62= 152 180-152= 28 degrees
If this doesnt make sense tell me Ill try to explain it better.
Find the value of x
Please help
Answer:
b
Step-by-step explanation:
subtract 9 from 16
Put the verbs in brackets into
the to-infinitive or -ing form.
How do they differ in
meaning? Check in the
Grammar Reference section.
1
a Diane has stopped eating
(eat) in between meals.
(she no longer does it)
b The runner stopped to have
(have) a rest after training
for many hours. (stopped to
do sth and then continued
what he was doing)
2 a Aaron forgot
(take) his vitamins.
b Forget about
(go)
to the gym. I need you.
3 a Daniel remembers
(meet) his sports idol
when he was younger.
b Andy didn't remember
.... (buy) tickets
for the match.
4 a I will try
(think) more positively
from now on.
b Ellen tried .............. (diet)
and lost several kilos.
5 a She used
(play) volleyball when she
was in high school.
b He is used
(exercise) at the weekends.
.
Answer:
i hope u have a good day
Step-by-step explanation:
EASY MATH QUESTION
the original price of a soccer ball is $25.00. if the soccer ball is discounted 25%, what is the new price?
Answer:
18.75 is the new price
PLS HELP WILL GIVE BRAINLIEST
Answer:
32 percent
Step-by-step explanation:
8,000×400÷100
is this a function? please explain if possible...
It is a function. Every x value is different.
Need the answer for x and y
Answer:
x = 5°
y = 4°
Step-by-step explanation:
21x + 75 = 180
21x = 105
x = 5°
25y + 5 + 75 = 180
25y = 100
y = 4
Please explain how you find the slope of a graph? Please explain with photos.
☁️ Answer ☁️
Here's what I found:
Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).
Input the values into the formula. This gives us (10 - 8)/(-2 - 3).
Subtract the values in parentheses to get 2/(-5).
Simplify the fraction to get the slope of -2/5.
Check your result using the slope calculator.
To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.
Here's the link:
https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.
Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho
(Just remove the space)
Hope it helps.
Have a nice day noona/hyung.
Answer:
Well I‘ll try verbal explanation, if you still don’t understand, jsut leave a comment and Ill put some images up.
Step-by-step explanation:
Alright so in order to find a slop of a graph theres a rise and run feature for every plot on the point thats exactly on a number.
The rise is going up, the run is going right.
So in order to find the slope of a semi easy graph, start by looking for a point plotted on the line thats exact and you have to rise first untill you see another plot and then run to that point, The amount of times you raised is your numerator and the amount ran is the denominator.
For hard graphs locate 2 points that are exact.
Then you follow the equation for every slope which is
(y2-y1 / x2-x1)
So for example you have the points (1,2) and (3,6)
y1= The first y coordinate given (the first part of the pair)
y2= The second y-coordinate given (the second part of the second pair)
x1= The first x coordinates given
x2= the second x coordinate given
so if we use the previous example stated above (1,2) and (3,6)
y1= 2
y2= 6
x1= 1
x2=3
Now use the formula (y2-y1 / x2-x1)
Subsitute
6-2 / 3-1
4/2
the slope would be 2.
This formula works for every 2 points given.
Please help I’ll mark you as brainliest if correct!
Answer:
oh, easy it’s 25:)
Step-by-step explanation:
Someone please help
Answer:
m= -1
Step-by-step explanation: