Answers
Answer:
0.7241
Step-by-step explanation:
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it
[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]
So now you have the opposite (2.1)
so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]
Answer:
[tex] \sin X = 0.7241 [/tex]
Step-by-step explanation:
For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
[tex] \cos X = \dfrac{adj}{opp} [/tex]
[tex] \cos X = \dfrac{2.0}{2.9} [/tex]
[tex] \cos X = 0.689655 [/tex]
Since we now know the value of cos X, we can find the value of sin X by using the trig identity
[tex] \sin^2 X + \cos^2 X = 1 [/tex]
[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]
[tex] \sin^2 X = 0.524376 [/tex]
[tex] \sin X = 0.7241 [/tex]
Related Questions
Solve the equation in the interval from 510^\circ510 ∘ 510, degrees to 1050^\circ1050 ∘ 1050, degrees. Your answer should be in degrees. \sin(x)=0sin(x)=0
Answers
Answer:
540°, 720° and 900°Step-by-step explanation:
Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;
sin(x) = 0
taking the arcsin of both sides;
[tex]sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}[/tex]
Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°
Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown
x1 =0°
x2 = 180°-0° = 180(2nd quadrant)
x3 = 180°+180° = 360°
x4 = 360°+180° = 540°
x5 = 540°+180°=720°
x6 = 720°+180° = 900°
x7 = 900°+180° = 1080°
We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.
Please answer.....................................
Answers
Answer:
1.25 + r = 4
1.25 - 1.25 + r = 4 - 1.25
r = 2.75
first option is the answer
Step-by-step explanation:
1. subtract 1.25 from both sides
Lexi runs a race at school. She runs at a rate of 4 miles per hour for the first mile, then increases her rate to 5 miles per hour until the last mile when she runs 6 miles per hour. Which equation below represents her time, T. In hours, If she runs a total of x miles
Answers
Answer:
60T = 12x - 1
Step-by-step explanation:
In speed distance and time, time(t) is given by
time = distance(d)/speed(s)
total distance ran = x miles
case 1
d = 1 mile
speed = 4 miles per hour
as time = distance(d)/speed(s)
t = 1/4
____________________________
case 2
speed = 5 miles per hour
it is given that out of x miles for first mile and last mile her speed was 5 miles per hour
thus distance for this speed can be calculated by
subtracting first and last mile from x miles
therefore
distance = x-2 miles\
t = (x-2)/5
_____________________________________
case 3
distance = 1 mile
speed = 6 miles per hour
t = 1/6
______________________________
Total time T as required will be sum of time for the 3 case calculated above
T = 1/4 + (x-2)/5 + 1/6
T = 1/4 + (x - 2)/5 + 1/6 (taking LCM of 6,5,4 as 60 and solving)
T = (15 + 12x - 24 + 10)/60
T = (12x - 1)/60
60T = 12x - 1
Thus, equation 60T = 12x - 1 represents her time T
What is 2 divided by 1/4.
Answers
Answer:
8
Step-by-step explanation:
you basically multiply 2 by 4 anyways hope this helps
Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
B.
Asking 25 students how tall they are and recording their answers
C.
Rolling a single number cube until you get a 5
D.
Tossing a coin 50 times and recording the number of times it lands on heads
Answers
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .
A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.
B. Asking 25 students how tall they are and recording their answers
There are not two options
C. Rolling a single number cube until you get a 5
There are not two options
D. Tossing a coin 50 times and recording the number of times it lands on heads
Yes there are two options and they are events are independent of each other, therefore it is the correct answer.
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
A P 3 X
A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.
Answers
The height of the building with a shadow of 88 feet is 55 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the building, hence using trigonometric ratios:
tan(32) = h / 88
h = 88 * tan (32) = 55 feet
The height of the building with a shadow of 88 feet is 55 feet.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Answer: 55
Step-by-step explanation: The building is 55 meters high
Please help me any thing you can do just help me
Answers
Answer:if u need help go to a Psychiatric hospital
Step-by-step explanation:
Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session
Answers
the answer is 32 ounces this same queston is in my notes
hope it likes you...
simplify (3mn)4 (with work please)
Answers
Answer:
12mn
Step-by-step explanation:
Just multiply 4 by 3
What is the range? 5,10,5,4,5,10,3,10
Help me pls
Answers
Answer: the answer is 7
Step-by-step explanation: the lowest number is 3 and the biggest one is 10 so you substract 10-3 and you get 7
Answer:
7.
Step-by-step explanation:
In order to find the range, you need to:
1. Arrange the set of numbers in order from smallest to largest.
2. Identify the smallest and largest numbers in the set.
3. Subtract the smallest number from the largest.
Therefore, your answer is 7.
Happy to help. :)
The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes.
Student Problems Minutes
Murray 58 2
Kris 78 3
Logan 84 3
Taylor 92 4
Which student solved problems at a rate of 28 per minute?
Answers
Answer:
logan
Step-by-step explanation:
84 divided by 3 = 28
Answer: Logan
Step-by-step explanation:
Here the given table,
Student : Murray Kris Logan Taylor
Problem : 58 78 84 92
Time(min) : 2 3 3 4
Therefore, Only Logan can solve the problem at the rate of 28 per minutes.
I need help guys this time it is 6 points cuz I'm poor so PLZ help I really need it !!!!!!!!
Answers
Answer:
Answer is option d mark as brainiest give 100 point
need help will give brainliest and 5 stars
Answers
Answer:
(-2, -2)
Step-by-step explanation:
You have to find the lowest point of the graph. That would be 2 to the left of the origin and 2 down. Note that the scale on the graph differs for the x- and y-axis.
Jeremy’s dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanilla cupcakes. How many more cupcakes must he make?
Answers
Answer:
22 cupcakes
Step-by-step explanation:
13+15=28
50-28=22
Answer:
22 cupcakes
Step-by-step explanation:
First, let's find how many cupcakes he has already made.
He made 13 chocolate and 15 vanilla. If we add them together, we can find how many he has made total.
13+15=28
So far, he has 28 cupcakes.
He needs 50 cupcakes, and he has already made 28. The difference of the two numbers will be how many he must still make.
Subtract 28 from 50
50-28=22
So, he still has to make 22 cupcakes
if butter the dog jumps two times and falls one time then how many times has he jumped?
Answers
Answer:1 or 3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?
A.
about 7 units
B.
about 15 units
C. about 25 units
D. about 122 units
E
about 224 units
Answers
Answer:
about 7 units
Step-by-step explanation:
10[tex]10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7[/tex]
Answer:
7 UNITS mwah <3<3<3<3<3<3<3
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.35 and 4 pounds of cherries. Tim buys a pineapple for $4.25 and 3 pounds of cherries Use the variable P to represent the price in dollars per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
Answers
Answer:
7.65 + 5p - (2.45 - 4p) =
7.65 + 5p - 2.45 + 4p =
5.20 + 9p <==
Step-by-step explanation:
hope dis helps mark me as brainliest pls!!!!!
A circular swimming pool has a diameter of 23 feet. What is the distance around the swimming pool?
Answers
Answer:
72.22 ft
Step-by-step explanation:
The circumference is calculated by pi x d
Answer:
About 72.3 feet
To be exact: The distance around the pool is 23π feet
Step-by-step explanation:
The question asks for the distance around the pool.
What does that mean?
It sounds similar to circumference of the circle shaped pool.
So, use the formula: C = (pi)*d
C = (pi) * 23 feet
C = 3.1415926 * 23 = 72.256 feet (approximately)
Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.
On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).
The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation
Answers
Answer:
a 135° rotation.Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Answer:
a 135° rotation.
Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
If I take the shortest route do I take a new road ? Please explain. How far is the longer route than the shorter route and assume they are all straight. This is Pythagorean theorem.
Answers
Answer:
the new road is new so it will be a new way which makes it shorter if yuo think about it
how do you simplify this
Answers
Answer:
6^8
Step-by-step explanation:
so whenever there is an exponent outside of a parentheses, multiply it with the exponent inside the parentheses:
so (6^4)^2= 6^8
Hope this helps!
Answer:
well the answer is 1679616
Step-by-step explanation:
how you search it up is (6^4)^2 and how you do it is times 6 by 6 by 6 by 6 then whatever that comes out to (1296) you would multiply that twice (1296 times 1296) and that'd be your answer ( 1679616)
Find the volume of a cylinder if the radius is 5 in. and the height is 20 in.
Answers
Answer:
V=πr^2h
V = ?
π = 22/7
r = 5
h=20
V = 22/7× 5^2× 20
V = 11000/7
V = 1571.42
The Volume is approximately 1571cm^3
Step-by-step explanation:
A word game has 100 tiles, including 2 blank tiles and 56
consonant tiles. There are 42 tiles with a vowel on each, and 12 have an "E." If the tiles are turned face down, and Dante selects one, what is the probability he will select a tile with an "E" on it?
Select One:
A.)2/7
B.)3/14
C.)I/12
D.)3/25
Answers
Answer:
D) 3/25
Step-by-step explanation:
Total number of tiles:
100Number of tiles with "E" on it:
12Probability of selecting a tile with "E" on it:
12/100 = 3/25Answer choice: D) 3/25
A circle has a radius of square root 131 units and is centered at (0,-4.3).
Whats the equation of this circle?
Answers
Answer:
x^2 + (y + 4.3)^2 = 131
Step-by-step explanation:
The basic equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here the center is (0, -4.3) and the radius is √131. Substituting as indicated, we get:
(x - 0)^2 + (y + 4.3)^2 = 131, or
x^2 + (y + 4.3)^2 = 131
A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?
Answers
Answer:
527
Step-by-step explanation:
237.15/0.45 = 527
Answer:
They sold 527 toys.
Step-by-step explanation:
If they make 0.45$ profit on every toy.
Total profit of a month is $237.15.
then no of toys sold = total profit divided by individual profit
Number of toys= 237.15/0.45 =527
How many solutions does this equation have?
–n − 5 = –n
Answers
Answer:
0
Step-by-step explanation:
-n+n-5 = 0
-5 = 0
Answer:
no solutions
Step-by-step explanation:
–n − 5 = –n
Add n to each side
–n+n − 5 = –n+n
-5 = 0
This is never true so there are no solutions
hey can anyone pls help me out in dis i will give 30 points!!!!!
Answers
Answer:
First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.
Second box horizontally = the method I would use is using the slope formula
Second row of boxes = I would graph it using the computer.
What number should be placed in the box to help complete the division calculation?
Answers
Answer:
160
Step-by-step explanation:
226
-160
____
66
-64 (4 in the quotient)
____
2
I Know It’s A Bit Much But U Would Be Doing Me A Huge Favor
Answers
Answer:
1. x^8
2.1
3.x^15
4.x^10
5.x^6
6.x^5y^5
7.x^-6
8.x^9
9.x^14
10.x^5
11.x^-1
12.x^11
Step-by-step explanation:
Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)
Answers
Answer:
Step-by-step explanation:
What you’ll do is subtract -3 and -2 and then subtract 5 and -6
