2. Find the value of x and y rounded to the nearest tenth.
x
34
45°
30°
a.
x = 24.0, y = 46.4
c.
x = 48.1, y = 139.3
d. x = 48.1, y = 46.4
b. x = 24.0, y = 139.3
Answers
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.First, we start with the vertical line h that divides y, that is opposite to an angle of 30º, with hypotenuse 34, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
[tex]\sin{45^\circ} = \frac{17}{x}[/tex]
[tex]x = \frac{17}{\sin{45^\circ}}[/tex]
x = 24.
y is divided into two segments.
The first is the adjacent to the angle of 30º, while the hypotenuse is 34.The second is adjacent to the angle of 45º, while the hypotenuse is 24.Then:
[tex]\cos{30^\circ} = \frac{y_1}{34}[/tex]
[tex]y_1 = 34\cos{30^\circ} = 29.4[/tex]
[tex]\cos{45^\circ} = \frac{y_2}{24}[/tex]
[tex]y_2 = 24\cos{45^\circ} = 17[/tex]
Then, the value of y is given by:
[tex]y = y_1 + y_2 = 29.4 + 17 = 46.4[/tex].
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Related Questions
If k is an integer, which of the
following must be odd?
F. 7k-1
G. 3k + 2
H. 1-5k
J. 7+2k
Answers
Answer:
J
Step-by-step explanation:
F is wrong, Lets say K is 1, then 7-1 = 6
G is wrong, say K is 2, then 6+2 = 8
H is wrong, say K is 1, then 1 - 5 = -4
J is right, Say K is 1, then 7+2 = 9, say K is 2, then 7+4 = 11, any integer used is an odd number
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
y varies inversely as x. If y=4 when x=15, find y when x=12
Answers
The value of y given the inverse relationship is 5.
What is the value of y?If two variables vary inversely, as one variable increases, the other decreases in value.
The equation that is used to represent inverse relationship is:
y = k/x
Where k is the constant of proportionality
k = yx
k = 4 x 15 = 60
y = 60 / 12
y = 5
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A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given.
a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.
b. Find CD, the height of the plane from the ground, to the nearest foot.
Please show work!
Answers
Answer:
part 1) BC is 17491 ft
part 2) CD is 6499 ft
Step-by-step explanation:
Please I need help asap
Answers
Answer:
Option D - x = 3 3/5
Step-by-step explanation:
Lets make the left side into an improper fraction :
2 2/5 = 12/5
Now let's make both fraction into equivalent ones but with the same denominator :
2/3 = 10/15
12/5 = 36/15
Now we substitute the equivalent values back into the equation :
10/15 × x = 36/15
Now we multiply both sides by 15 to remove the denominators:
10 × x = 36
Now we divide both sides by 10 and simplify :
x = 36/10
x = 18/5
x = 3 3/5
So our answer will be Option D
Hope this helped and brainliest please
PLEASE HELP ME PICTURE BELOW!!!
Answers
Answer:
corographicia
Step-by-step explanation:
its the right answer
according to the graph,what is the value of the RANGE when the DOMAIN is 0
Answers
Answer:
it would be nice with a photo dude
what is the equation of a circle with center (2,4) and radius 7
Answers
Answer:
try texting new food
Step-by-step explanation:
I do not know
(2) If the price of an item is represented by p, a final price of 0.7p indicates a discount of what percent?
Answers
Answer:
30%
Step-by-step explanation:
First subtract: 1 - .70 = .30
Then move decimal over to the right 2 times and add percentage sign instead of the decimal: 30%
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four
Answers
If the team can only send four divers to a competition. Then the number of the ways will be 330.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are eleven divers on a swim team. If the team can only send four divers to a competition.
Then the number of the ways will be
Number of ways = ¹¹C₄
Number of ways = 11! / [(11 - 4)! x 4!]
Number of ways = 330
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Which answer choice has the set of numbers
ordered correctly from least to greatest?
16
13, √, 1.71, 9
3
√. 12, 16, 1.71
4
3
16
1.71, 12, 1
9
O
16.1.71,√, 12
3
9
Answers
Answer:
0
3
3
3
8
9
12,161.71√
I think his is the best order
The graph shows the quadratic function f, and the table shows the quadratic function g.
x -5 -4 -3 -2 -1 0 1
g(x) 10 7 6 7 10 15 22
A.
The functions f and g have the same axis of symmetry and the same minimum values.
B.
The functions f and g have different axes of symmetry and different minimum values.
C.
The functions f and g have the same axis of symmetry, but the minimum value of f is greater than the minimum value of g.
D.
The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
Which statement is true?
Answers
Analyzing the quadratic functions, it is found that the correct option is D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
How to analyze the function?Looking at the graph, Function f has a minimum value of 1 at x = -3. Hence, the axis of symmetry is x = -3.
Function g has a minimum value of 6 at x = -3. Hence, the axis of symmetry is also x = -3.
Therefore, the functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
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can i have help with this please
Answers
Answer:
B) 7r² - r -1
Step-by-step explanation:
(3r² + 7r + 1) + (4r² - 8r - 2)
1. Remove unnecessary parentheses
3r² + 7r + 1 + 4r² - 8r - 2
2. Combine like terms (ex: r and -2r, n and 4n)
7r² - r -1
Therefore, the correct answer is B.
Hope this helps!
Answer: Heyaa! ~
Your Answer is... 7r²− r −1, Which is B.
Step-by-step explanation:
Subtract the numbers, And then combine like terms,
Solution: 7r²− r −1
Hopefully this helps you! ^
write the first six terms of the sequence f(n)=n^3+2
Answers
Answer:
[tex]3,10,29,66,127,218[/tex]
Step-by-step explanation:
[tex]f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218[/tex]
The table shows points that lie on the line.
Answers
Answer:
y = 5x + 2
Step-by-step explanation:
slope intercept form is y = mx+ b
the y- intercept is 0,2 so 2 is your b.
for m you do rise over run aka y/x. for every 5 rise up the x runs one so your slope(m) = 5
so y=5x+2
I don’t know how to explain but I did use this cool app but yea I gotchu big bro
2x=-4(1/4-3/4 x)+4
solve for x
Answers
Answer:
x=-3
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Step-by-step explanation:
Multiply part of the right side by - 4
2x = -4*1/4 + 4* 3x/4 + 4 Combine
2x = - 1 + 3x + 4 Combine again
2x = 3 + 3x Subtract 3x both sides
2x - 3x = 3 Combine
-x = 3 Multiply by -1.
-1 * -x = - 1 * 3
x = - 3
Is y=2x-3 a funtion?
Answers
Answer:
yes
Step-by-step explanation:
Yes.
The graph of y = 2x - 2 is a straight line sloping up to the right.
It passes the vertical line test, so it is a function.
What is the solution to this Equation?
2(5x+8) = 6x+20
A. X = -1
B. X=9
C. X = -9
D. x = 1
Answers
Answer:
D(x=1).
Step-by-step explanation:
2(5x+8)=6x+20
10x+16=6x+20
10-6x+16=6x-6x+20
4x+16=20
4x+16-16=20-16
4x=4
4x/4=4/4
x=1
The solution to this equation is x = 1
Given the equation, we apply the distributive property.
That is, let's multiply the terms:2( 5x + 8 ) = 6x + 20
10x + 16 = 6x + 20
Now we will subtract the terms on both sides of the sentence:10x - 6x = 20 - 16
4x = 4
Finally, let's divide the second to the first term:x = 4 ÷ 4
x = 1
Therefore, the value of this equation is x = 1
Question Progress
10
Find the value of:
a) x² when x = 6
Answers
Answer:
x^2= 36
Step-by-step explanation:
since x = 6
therefore, x^2 = 6×6=36
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answers
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
A jar of jelly beans has a mass of 1450kg.If the jars mass is 245g.What is the mass of jelly beans
Answers
Answer:
1449.755 kilograms
Step-by-step explanation:
245 grams is .245 kilograms meaning that in order to get the answer you would need to subtract 1450 by .245 which is 1449.755 which means that the mass of jelly beans would be 1449.755 kilograms
Suppose we take a survey and use the sample proportion to calculate a confidence interval. Which level of confidence gives the confidence interval with the largest margin of error
Answers
Answer:
See below
Step-by-step explanation:
I do not see any options, but it is important to note that the bigger the level of confidence, the larger the margin of error will be.
Which exponential function has a growth factor of 5?
o f(x) = 2(54)
Answers
An example of a exponential function with growth rate of 5 is given as y = 2(5)^4
Exponential functionsThese are functions that increases geometrically. The standard exponential function is given as;
y = ab^x
where
a is the base valuex is the exponentb determine the growth or decayAn example of a exponential function with growth rate of 5 is given as y = 2(5)^4
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Find the measures of the angles of an isosceles triangle where the ratio of the vertex angle to one of the base angles is 1:2.
Answers
Answer:
Angles of the isosceles triangle are 36°, 72° , 72°
Step-by-step explanation:
Vertex angle : Base angle = 1 : 2
Vertex angle = x
Base angle = 2x
Sum of all angles of a triangle = 180°
x + 2x + 2x = 180°
5x = 180
x = 180 ÷ 5
x = 36°
2x = 2 *36 = 72°
Angles of the isosceles triangle are 36°, 72° , 72°
Help I want to learn how to solve this not just the answer please
Answers
Step-by-step explanation:
Cancel out the common factor 2
There are 6 girls and 5 boys in a debate class. The teacher chooses two students at random to lead a class discussion. What is the probability of selecting a girl and then a boy
Answers
Answer:
Step-by-step explanation:
There are 11 students in total.
6 girls.
and 5 boys.
so the probability of selecting a girl is 1/5 because 5 boys or it could be 1/11 if i am not mistaken.
(which i might be)
Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish. Please select the best answer from the choices provided
Answers
The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.
What is a graph?It should be noted that graph simply means a diagram that's used to show the information about a data given.
Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.
Therefore, the correct option is C.
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only help if u know :D
Answers
The number of students in the school given the number of people that attended the dance is 128.
How many students are there?Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
Number of students = number of students at the dance / percentage that attended the dance
32 / 25%
32 / 0.25 = 128
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Can you help me with this? it would help!
Answers
the distance between dakshes's house and his school is 7 km.how many kilometers does he have travel in 6 days
Answers
Answer:
84km
Step-by-step explanation:
He has to travel 7 km in the morning to school and 7 km in the afternoon to home. 7km x 2 = 14km/day
He's making this trip 6 days a week: 6 days x 14km/day = 84km
7km x 2/day x 6 days = 84km
simplify the numerical expression- cant write it out so i'm using a pic
Answers
Answer:
-38
Step-by-step explanation:
4-(3^4-6^2)+2(3)÷2
=> 4 - (81-36) + 2(3) ÷ 2
=> 4 - 45 + 2(3)÷2
=> 4 - 45 + 6÷2
=> 4 - 45 + 3
=> -41 + 3
=> - 38
hope this helps :)