Answer:
hehdhrhth
Step-by-step explanation:
thrhrgefwy3ihrgej eff wr3 utf egtje creek it g
Find the value of x and y. Write your answers in simplest form.
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]
Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.
Answer:
Step-by-step explanation:
Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{c-c}{a+b-b}[/tex]
= 0
Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0-0}{2a-0}[/tex]
= 0
Therefore, DE║BC because slopes of BC and DE are equal.
Can you help me please
Answer:
f(-4)=3(4)^2-5(4)
16*3-20
48-20
f(-4)=28
Population of California in the year 1995 was 32 million. If the population grows at a rate of 2%, what will the population be in 2025?
Answer:
hi 51.2 is the answer
Step-by-step explanation:have a good day.
The population of California in the year 2025 is approximately 57.96 million.
To calculate the population of California in 2025, we need to use the population growth formula:
Population in the future = Population in the present * [tex](1 + Growth rate)^{Number of years}[/tex]
Given:
Population in 1995 = 32 million
Growth rate = 2% = 0.02 (in decimal form)
Number of years = 2025 - 1995 = 30 years
Now, let's calculate the population in 2025:
Population in 2025 = 32 million * (1 + 0.02)³⁰
Population in 2025 ≈ 32 million * (1.02)³⁰
Population in 2025 ≈ 32 million * 1.8114
Population in 2025 ≈ 57.9648 million
Therefore, the population of California in the year 2025 is approximately 57.96 million.
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I'll give brainliest hurry
Answer:
p
Step-by-step explanation:
Hellllpppppppp please
Answer:
x= 3
x= -9
Step-by-step explanation:
hope it helps
(use math.way)
i am not quite sure but i believe it is c
What is the solution to the system of equations?
y = 1/3x -10
2x + y = 4
(–8, 6)
(–6, 16)
(6, –8)
(16, –6)
Add -4 + (-15).
-11
19
-19
11
Step-by-step explanation:
-4+(-15)
=(-19)
I think it helps you
True or False, repeated decimals are all Rational Numbers!
A. True
B. False
Answer:
The answer is A: True
Step-by-step explanation:
Repeating decimals are rational numbers because there is only one number that's repeating over and over again.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
I also need help with this haha,, I'm bad at algebra 2
I needdddddd helppppppp
Answer:
what is the question
Step-by-step explanation:
PLEASE HELP
Write an equation for a line perpendicular to f(x)=5x-1 and passing through the point (5,20).
Answer:
f(x)=-5x+1
Step-by-step explanation:
i hope this works for you
In the least-squares regression line, the desired sum of the errors (residuals) should be:_____.
a) maximized.
b) 1.
c) positive.
d) negative.
e) zero.
In the least-squares regression line, the desired sum of the errors (residuals) should be: zero
What is Number system?A number system is defined as a system of writing to express numbers.
The key word here is "desired". We wish to make the errors as small as possible. The smallest any individual error can get is 0. Adding the entire collection of zeros will sum in a total of zero.
An error of zero means we hit the mark exactly. The unfortunate reality is that error is going to happen, so we'll have some positive error values with any regression line (or curve). It's only when all points are on the same line is when we have zero error and perfect interpolation rather than regression.
Again, the question is asking about desired error and the ultimate goal is to make the error zero. The next best thing is to minimize it as small as possible
Hence in the least-squares regression line, the desired sum of the errors (residuals) should be: zero
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Demarcus and Devon were working on this problem:
A phone costs $300. The price will increase by 15%
next week.
Devon thinks the new price of the phone will be $315.
Demarcus thinks it will be $345. Who is right?
Answer:
Demarcus is right the phone will cost $345
Step-by-step explanation:
15% of 300 = 45
300+45=345
9x - y power two - 20 ≥ 0 i need every passage
Answer: photo
Step-by-step explanation:
I am not sure but hope it helps
1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
Answer:
10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
What is the value of the expression 8³?
A. 24
B. 83
C. 512
D. 6,561
Answer:
its c and thats on purrrr
Step-by-step explanation:
**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)
Answer:Find the slope of the original line and use the point-slope formula
y
−
y
1
=
m
(
x
−
x
1
)
to find the line parallel to
y
=
3
x
+
6
.
y
=
3
x
−
5
Step-by-step explanation:
Identify the next three numbers in this sequence
Answer:
72,66,264
Step-by-step explanation:
A glacier in Alaska moves about 29.9 meters a day. How much farther will it move in 1,000 days than in 100 days?|
Answer:
(1000x29.9)-(100x29.9)=29900-2990=26910
26910
Step-by-step explanation:
Help please! I need an explanation but I dont understand this!!!!!!!
Answer:
its to small
Step-by-step explanation:
How to write 1 billion and 67.9 in expanded formp
Answer:
1,000,000,000+60+7+.9
Explanation:
Start by writing out 1 billion and then add the 67.9!
Please help! 35.1 x 8.4 = ??
Answer:
294.84
should be correct, I used a calculator.
Solving Quadratic Equations Maze 1
x²- 8x - 33 = 0
The solutions to the given quadratic equation are x=11 and x=-3.
The given quadratic equation is x²-8x-33=0.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
By using splitting middle term method, we get
x²-11x+3x-33=0
x(x-11)+3(x-11)=0
(x-11)(x+3)=0
(x-11)=0 and (x+3)=0
x=11 and x=-3
Therefore, the solutions to the given quadratic equation are x=11 and x=-3.
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Can someone please help me if you know! Thank you
Answer:
D
Step-by-step explanation:
the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x
if josh's account balance is greater than it would be josh > vanessa or vanessa < josh
uppose a computer animator has worked on 56 projects. If the ratio of video games to all other projects is 5:9, how many projects are video games?
Answer:
Number of video game = 20
Step-by-step explanation:
Given:
Total number of project = 56
Ratio = 5:9
Find:
Number of video game
Computation:
Number of video game = 56[5/(5+9)]
Number of video game = 56[5/(14)]
Number of video game = 280 / 14
Number of video game = 20
Q = x^2 - 15x + 56 = 0
Answer:
x = 8
x = 7
Step-by-step explanation:
Solving x2-15x+56 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -15
C = 56
Accordingly, B2 - 4AC =
225 - 224 =
1
Applying the quadratic formula :
15 ± √ 1
x = —————
2
So now we are looking at:
x = ( 15 ± 1) / 2
Two real solutions:
x =(15+√1)/2= 8.000
or:
x =(15-√1)/2= 7.000
The $99.99 digital camera Mia purchased was on sale for 15% off. What
amount did Mia get off the price?
Answer:
84.99
Step-by-step explanation:
2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram
Answer:
1.) 60 students
11.) kindly check attached picture
Step-by-step explanation:
Given that:
Total number of students = n(Total) = 180
Number who participate in sport = n(Sport) = 120
Number who participate in both = n(Sport n Music) = 40
Number who participate only in Music =?
Let number who participate in Music = x
Hence, n(Music only) = x - 40
n(Sport only) = 120 - 40 = 80 students
Summing all should give us n(total)
n(sport only) + n(sport n music) + n(music only) = 180
80 + 40 + (x - 40) = 180
80 + 40 + x - 40 = 180
80 + x = 180
x = 180 - 80
x = 100 students
Therefore,
n(Music only) = x - 40 = 100 - 40 = 60 students