Answers
The value of the identities are;
sin X= 3/√34
tan Y = 3/5
Option A
How to determine the valueTo determine the value, we need to take note of the different trigonometric identities. These identities are;
sinetangentcotangentcosecantsecantcosineFrom the information given, we have that;
the hypotenuse side = √34
The opposite of X is 3
the opposite of Y is 5
Using the sine identity;
Substitute the opposite and the hypotenuse in the fraction order
sin X = 3/√34
Using the tangent identity, we have;
tan Y = 3/5
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Related Questions
The sum of two numbers is 54. The smaller number is 14 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answers
Answer:21 and 33
Step-by-step explanation:
(54-n). n = 21.
In the picture below, mLDFB = (4x)°.
Find the value of x.
Answers
The value of x would be equal to 36.
We are given that mLDFB = (4x)°.
Since angle DFB = 144°.
So, we can say that
144 = 4x
x = 144/4
x = 36
The value of x is 36.
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A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China. Find the length and width of a similar rectangular screen if the length is 5 meters more than 6 times its width, and the viewable area is 5,550 square meters.
Answers
The length of the screen would be 182.2 meters and the width would be 30.2 meters.
Area of a rectangleLet's assume that the width of the screen is w. The length of the screen is 5 meters more than 6 times its width, which can be expressed as:
length = 6w + 5
The viewable area of the screen is given as 5,550 square meters. We know that the area of a rectangle is given by:
area = length x width5,550 = (6w + 5)w6w^2 + 5w - 5,550 = 0Solving the quadratic equation:
w = (-5 ± sqrt(5^2 - 4(6)(-5,550)))/(2(6))w = (-5 ± sqrt(138025))/12w = (-5 ± 371)/12w ≈ 30.2 or w ≈ -30.0Therefore, the width of the screen is approximately 30.2 meters. Now, let's find the length:
length = 6w + 5 ≈ 6(30.2) + 5 ≈ 182.2
In other words, the length of the screen is approximately 182.2 meters and the width of the screen is approximately 30.2 meters.
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please answer asap please
A piano mover uses a ramp to move a piano into a house. The doorway to the house is 2 feet above the ground and the ramp starts 7 feet from the doorway. Assuming the ground is level and is perpendicular to the side of the house, what is the approximate length of ramp? You must round your answer to two decimal places.
Answers
PLEASE HELP!!
1. Consider the following situations related to polar equations
a. Convert the following equation into polar form: (x + 3)² + (y − 1)² = 10
b. Graph the equation: r = 6 sin (20),0 ≤ 0 < 2. Identify the type of graph and its distinguishing characteristics.
Answers
The equation in polar form is r^2 + 6r * cos(θ) - 2r * sin(θ) = 0
How to put the equation in polar formx = r * cos(θ)
y = r * sin(θ)
The given equation is:
(x + 3)² + (y - 1)² = 10
Substitute x and y with the polar coordinate expressions:
(r * cos(θ) + 3)² + (r * sin(θ) - 1)² = 10
Expand and simplify:
(r^2 * cos^2(θ) + 6r * cos(θ) + 9) + (r^2 * sin^2(θ) - 2r * sin(θ) + 1) = 10
Combine like terms:
r^2 * (cos^2(θ) + sin^2(θ)) + 6r * cos(θ) - 2r * sin(θ) + 9 + 1 - 10 = 0
Since cos^2(θ) + sin^2(θ) = 1, we can simplify further:
r^2 + 6r * cos(θ) - 2r * sin(θ) = 0
Now, the equation is in polar form:
r^2 + 6r * cos(θ) - 2r * sin(θ) = 0
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A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answers
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
Find the value of x
Answers
The value of segment x is determined as 13.6 units.
option B
What is the value of length x?The value of length x is calculated as follows;
x² = 8 x ( 8 + 15)
From the diagram given, the length of the sides are as follows;
8, 15 and segment x
The value of segment x is calculated as follows;
x² = 8 x 23
x² = 184
x = √ ( 184 )
x = 13.6 units
Thus, the value of x is determined by applying the principle of tangent theorem.
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the 9th term of 80,69,45
Answers
The differences are not the same, which suggests that the sequence is not arithmetic. we can not find the solution without any further information.
To find the 9th term of the sequence 80, 69, 45, we need to determine the pattern in the sequence.
Looking at the differences between consecutive terms, we can see that:
80 - 69 = 11
69 - 45 = 24
The differences are not the same, which suggests that the sequence is not arithmetic. However, if we take the differences between these differences, we get:
24 - 11 = 13
This difference is constant, which suggests that the sequence may be a second-degree (quadratic) sequence.
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Someone pls help me with this
Answers
The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
Calculating the measures of the angles a to dFrom the question, we have the following parameters that can be used in our computation:
The circle and its properties
The angle in a semicircle is 90 degrees
So, we have
d = 90
Using the properties of angles, we have
a = 1/2 * 76
a = 38
Also, we have
a + b + d = 180 --- sum of angles in a triangle
So, we have
38 + b + 90 = 180
This gives
b = 52
Using the properties of angles, we have
b = 1/2 * c
52 = 1/2 * c
c = 104
Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
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Which of the points below correctly plots the point (−2,−5π/3)?
Select the correct answer below:
A
B
C
D
E
F
Answers
Answer: F
Step-by-step explanation:
Answer: correct answer is A
Step-by-step explanation:
Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.
PLEASEE ASAPPPPPPPPPP
It's in the picture beloww
Answers
The volume of the cone for B based on the information is 39.25 unit³
How to calculate the volumeThe formula for the volume of a cone is:
V = 1/3 πr^2h
Where:
V = Volume
π = 3.14
r = Radius of the base of the cone
h = Height of the cone
Based on the information, the volume of the cone will be:
V = 1/3 πr^2h
V = 1/3 × 3.14 × 2.5² × 6
V = 39.25 unit³
Therefore, the volume of the cone is 39.25 unit³
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