Answers
Answer:
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Step-by-step explanation:
Calculating (x):
Here, we make use of the tan formula
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Adj = x[/tex]
This gives:
[tex]tan\ 60= \frac{16}{x}[/tex]
Make x the subject
[tex]x = \frac{16}{tan\ 60}[/tex]
tan(60) in surd form is [tex]\sqrt{3}[/tex]
So:
[tex]x = \frac{16}{\sqrt{3}}[/tex]
Rationalize
[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
Calculating (y):
Here, we make use of the tan formula
[tex]sin\theta = \frac{Opp}{Hyp}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Hyp= y[/tex]
This gives:
[tex]sin\ 60= \frac{16}{y}[/tex]
Make y the subject
[tex]y= \frac{16}{sin\ 60}[/tex]
tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]
[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]
[tex]y = 16/\frac{\sqrt 3}{2}[/tex]
[tex]y = 16*\frac{2}{\sqrt 3}[/tex]
[tex]y = \frac{32}{\sqrt 3}[/tex]
Rationalize
[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Related Questions
Hattie is making fruit baskets, which include apples and bananas, to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.
Which system of inequalities can be used to determine the number of apples, x, and bananas, y, that Hattie should include in each basket?
Answers
Answer:
10 apples and 4 bananas
Step-by-step explanation:
x + y> 12. 5 x + 7y <80
Answer:
Step-by-step explanation:
Solve the inequality
Answers
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
How many even numbers are between 1 and 30. My head hurts thanks
Answers
Answer:
15
Step-by-step explanation:
2
4
6
8
10
there are 5 between 1-10
so 3*5=15 between 1-30
Answer:
15
Step-by-step explanation:
my head hurts too
HELP ASAP
Using a sample of the population that is too small is a:
A . measurement error.
B . interpretation error.
C . data collection error.
D . sampling error
Answers
Answer:
a
Step-by-step explanation:
maybe
What is the 15th term of the sequence an =
-3n+50
D. 95
Answers
Answer:
= 105
Step-by-step explanation:
Answer:
here ya go
Step-by-step explanation:
a
9
=
105 I think
Martina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?
Answers
Answer: 30%
Step-by-step explanation:
She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.
PLEASE HELP!! a 90% confidence interval is (35,45) what is the margin of error?
a. 10
b. 9
c. 5
d. 4.5
Answers
Answer: C: 5
Step-by-step explanation:
Just took the test in Ape x
The margin of error will be 5. Option C is corect.
What is the margin of error?
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.
The interval is;
(35,45)
Half of the breadth of the total confidence interval is the margin of error.
MOE = (45-35)/2
MOE =5
The margin of error will be 5.
Hence option C is corect.
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If i=sqr-1, what is the value of i^3?
-1
i
1
-i
Answers
Answer:
After solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
If [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]
Solving:
[tex]i=\sqrt{-1}[/tex]
Taking cube on both sides
[tex]i^3=(\sqrt{-1})^3\\[/tex]
We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:
[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]
So, after solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
HELP!!! ASAP PLEASE The temperature dropped 4 1/2 degrees each hour for 5 hours. By how many degrees did the temperature fall during those 5 hours?
Answers
Answer:
22.5 degrees.
Step-by-step explanation: Just change the half to 0.5 so then times 4.5 times 5.
Answer:
22 1/2
Step-by-step explanation:
I did the quiz
Is 1666666 continuing a rational number?
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
An irrational number is a number that continues on and on but doesn't repeat. Since 166666 repeating does repeat it's a rational number.
If anyone understands can you please help me✨♀️
Answers
I don’t understand please help
Answers
Joe drove 215 miles in 3 hours. Moe drove 240 miles in 4 hours. Who drove at the fastest rate of speed
Answers
so your answer is joe
mark me brainliest
6/5 s = -2
whats the answer solve the (s)
Answers
Answer: s= -5/3
Step-by-step explanation: hope this helps!
the answer is 5/3 i hope this help!
Find a Point-Slope equation for a line containing the given point and having the given slope.
(5, -1), m =1/5
Answers
Answer:
The point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Step-by-step explanation:
Given
The point = (5, -1)m = 1/5We know that the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the values m = 1/5 and the point (5, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Thus, the point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Determine from the balanced chemical reaction if
the derived mole ratio is correct or incorrect.
Answers
It's incorrect. There are 6 moles of NaBr produced for every 3 moles of Na₂S among the reactants (as well as 2 moles of FeBr₃), so the mole ratio of NaBr to Na₂S should be 2 : 1, not 1 : 1.
Amy had a $10 monthly fee for music streaming due when she received her paycheck. After paying for the music streaming service, she had $65 remaining from her paycheck. Write and then evaluate a subtraction expression to determine the original value of Amy's paycheck
Answers
Answer:
10+65=75 75-10=65
A subtraction expression to determine the original value of Amy's paycheck is x-10=65.
Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the original value of Amy's paycheck be x
According to the question, x-10=65
⇒ x=$75
Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.
To learn more about an equation visit:
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What is the domain of the graph?
Answers
Answer:
domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Hope this helps you!
(16) In 2008, the number tourists visiting France was 7.94 x 1017. The
number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the
number of visitors
Answers
Answer:
3.67 × 10^7Step-by-step explanation:
Number of tourists visiting France = 7.94 × 10^7Number of tourists visiting Italy = 4.27 × 10^7The difference:
7.94 × 10^7 - 4.27 × 10^7 =(7.94 - 4.27) × 10^7 =3.67 × 10^7 more visitors in FranceGiven the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩
Answers
Answer:
the third one
Step-by-step explanation:
jsut took it
Answer:
It’s C
Step-by-step explanation:
Select the correct answer. What is 6 1/3 divided 1/6 equal to? A: 6 B:9 C: 12 D:19 E:38
Again select the correct answer.
Answers
Answer:
The answer would be E:38.
Answer:
38
Step-by-step explanation:
Convert 6 1/3 to a fraction, 19/3
Divide 1/6 by multiplying
19 6
__ X ___. = 38
3. 1
Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.95, 12.14. If the standard deviation for the above data set is 0.07V, determine whether any values can be rejected. (5 Points)
Answers
Answer:
we can not reject any value
Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval
If we established CI = 95 % then α = 5 % and α/2 = 0,025
From data we find the mean of the values
μ₀ = 12,03 and σ = 0,07
From z table we find z score for 0,025 is z(c) = ± 1,96
So limits of our CI are:
12,03 + 1,96 = 13,99
12,03 - 1,96 = 10,07
And all our values are within ( 10,07 , 13,99)
So we can not reject any value
getting bored.Is there anyone???
Answers
Answer:
yes very much so
Step-by-step explanation:
yes I don't know why but I am really and truly
Answer:
WOW yRRRRRR
Step-by-step explanation:
what is the product for 1.2×3.5 what is the product of 1.2 times 3.5
Answers
The answer to this problem is .
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y=3x+2 is
Choose... (less than, Greater than, Equal to)
the y-intercept of the function represented in the graph.
Answers
Answer:
it is equal to
Step-by-step explanation:
took test
Answer:
equal to
Step-by-step explanation:
i need help please
Answers
Answer:
kgjyfhtgdxhfc
Step-by-step explanation:
jgvkhjjhgdjfgkh
Find the value of x in the
following parallelogram:
2x
х
х
2x
Answers
Answer:
60°
Step-by-step explanation:
The sum of the angles in any quadrilateral is 360°. In a parallelogram the sum of neighboring angles is 180°. Therefore:
2x + x = 180°
3x = 180°
x = 60°
The value of x is 60.
What is properties of parallelogram?Parallel sides define an object.Congruent opposites are present.Angles at opposites are congruent.Consecutive angles on the same side called supplementary angles.A parallelogram is divided into two congruent triangles by each of its diagonals.A parallelogram's diagonals cut each other in half.Given:
Angles x, x, 2x, 2x.
Using the property of parallelogram, the adjacent angles of parallelogram sum to 180.
x+ 2x= 180
3x= 180
x= 180/3
x= 60
Hence, the value of x is 60.
Learn more about properties of parallelogram here:
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Find the midpoint of (0, 3) and (-4, 1).
Answers
Answer:
is there a page we can look at
Step-by-step explanation:
PLEASE HELP!!! TIMED TEST!
Which pair of angles must be supplementary?
1 and 6
2 and 5
5 and 4
6 and 2
Answers
Answer:
ok supplementary angles are two angles when they add up upto 180 degree so angle 2 and 5 make 180 degree .
In which quadrant is x positive and y negative?