Answer:
x=18
Step-by-step explanation:
Given that sin x = 3/4
where x is an obtuse angle, find the exact value of cos x.
Answer:
Step-by-step explanation:
sin x =3/4
x is an obtuse angle and sin x is positive .
∴ x lies in 2nd quadrant.
Hence cos x is negative.
[tex]cos x=-\sqrt{1-sin^2x} =-\sqrt{1-(3/4)^2} =-\sqrt{1-\frac{9}{16} } =-\sqrt{\frac{7}{16} } =-\frac{\sqrt{7} }{4}[/tex]
Solving a trigonometric equation, it is found that:
[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]
The sine and the cosine of an angle x are related by the following equation:
[tex]\sin^2{x} + \cos^2{x} = 1[/tex]
In this problem:
x is an obtuse angle, which means that it is the second quadrant, in which the sine is positive and the cosine is negative.[tex]\sin{x} = \frac{3}{4}[/tex], thus:
[tex]\sin^2{x} + \cos^2{x} = 1[/tex]
[tex](\frac{3}{4})^2 + \cos^2{x} = 1[/tex]
[tex]\frac{9}{16} + \cos^2{x} = 1[/tex]
[tex]\cos^2{x} = 1 - \frac{9}{16}[/tex]
[tex]\cos^2{x} = \frac{7}{16}[/tex]
[tex]\cos{x} = \pm \sqrt{\frac{7}{16}}[/tex]
Since the cosine is negative.
[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]
A similar problem is given at https://brainly.com/question/24680641
Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?
Answer:
The Value Remains the Same
Step-by-step explanation:
Trust
The value of a remains unchanged. Therefore, option C is the correct answer.
Given that, Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k.
We need to find from the option which is true for the given statement.
What is a vertex form?The Vertex formula of a parabola is used to find the coordinates of the point where the parabola crosses its axis of symmetry. The vertex is the point (h,k). As we know the standard equation of a parabola is y = ax²+bx+c. The vertex form of the parabola y = a(x - h)²+ k. There are two ways in which we can determine the vertex (h, k).
Now,
The original expression is given as y = ax²+bx+c and Christian rewritten as y = a(x - h)²+ k.
Simplify the equation y = a(x - h)²+ k, that is y = a(x²-2xh+h²)+k.
⇒y=ax²-2axh+ah²+k
Compare the equation y=ax²-2axh+ah²+k with y = ax²+bx+c.
That is ax²=ax²
bx=-2xh and c=ah²+k
Analyzing the above equations ax²=ax²
Now, divide both sides by x², and we get a=a.
So, the value of a remains unchanged.
Therefore, option C is the correct answer.
To learn more about the vertex form visit:
https://brainly.com/question/22649174.
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Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k. Which of the following must be true?
h and k cannot both equal zero
k and c have the same value
the value of a remains the same
h is equal to one half –b
Anyone else have to watch two videos on brainly to just get one answer??
WHAT DOES THAT MEAN....
Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?
Answer:
4 weeks . ∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴
Choose Yes or No to tell whether the fraction and percent are equivalent. 401,000and 40% Choose... 65 and 120% Choose... 5033 and 117% Choose... 18 and 12.5% Choose...
Answer: 1 = No
Step-by-step explanation:
Change 9.65kg into grams.
Answer:
9.65 kilograms = 9650 grams
Step-by-step explanation:
Select all ratios that are in their simplest form.
4:24 28:15 3:13 18:30 12:14
Answer:
1. 28:15
2. 3:13
Step-by-step explanation:
The ratios above have no common factor.
4:24 .
Common factor : 4
18:30
Common factor : 6
12:14
Common factor : 2
Answer:
28:15
3:13
Step-by-step explanation:
The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.
Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.
WILL GIVE EXTRA POINTS
Assignment name: solving angles pairs
Answer:
33
Step-by-step explanation:
Answer:
The angle that says it is 120 degrees looks wrong. That is an acute angle
Step-by-step explanation:
Write an
equivalent expression by distributing the "-" sign outside the parentheses:
-(0.39 + 75 – 5)
Answer:
(-0.39 - 75 + 5)
Step-by-step explanation:
If you multiply a positive by a negative, it becomes a negative. If you multiply a negative by a negative, it becomes positive. Remember that, it will help you later on.
Answer:-70.39
Step-by-step explanation: im in college
If you use the distribution property on 2(4 - 3x), what is the result?
Answer:
8 - 6x
Step-by-step explanation:
2(4-3x)
multiply 2 to both 4 and -3x
8-6x
Answer:
-6x + 8 or 6x - 8 if you want to remove the negative sign in x
1. 5 3/4+("-" 1/4)
2. "-" 2/3+1/6
3. "-" 8/5+("-" 3/4)
Answer:
BELOWStep-by-step explanation:
1.
[tex]5\frac{3}{4} +(-\frac{1}{4} )\\\\5\frac{3}{4}=\frac{5\times4+3}{4}=\frac{23}{4}\\\\\frac{23}{4} +(-\frac{1}{4} )\\\\=\frac{23}{4}-\frac{1}{4}\\\\=\frac{23-1}{4}\\\\=\frac{22}{4}\\\\=5\frac{1}{2}[/tex]
2.
[tex]-\frac{2}{3} +\frac{1}{6} \\\\L.C.M \:OF\:3,6\: =6\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=\frac{-3}{6}\\\\=-\frac{3}{6}\\\\=-\frac{1}{2}[/tex]
3.
[tex]-\frac{8}{5} +(-\frac{3}{4} )\\\\L.C.M \:OF\:5,4\: =20\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{32}{20}-\frac{15}{20}\\\\=\frac{-32-15}{20}\\\\=\frac{-47}{20}\\\\=-\frac{47}{20}\\\\=-2\frac{7}{20}[/tex]
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural, ¿Cuántos litros de cada preparado se deben emplear?
Answer:
El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.
Step-by-step explanation:
Sistemas de Ecuaciones
Llamamos:
x = litros de jugo al 5% natural
y = litros de jugo al 25% natural
El administrador de la cafetería desea hacer 50 litros de jugo, luego:
x + y = 50 [1]
Esos 50 litros de jugo deben tener 10% de jugo natural. Como cada parte de x aporta 5% y cada parte de y aporta 25%:
5x + 25y = 10*50 = 500
Dividimos entre 5:
x + 5y = 100 [2]
Restamos [2] menos [1]:
4y = 50
y = 50/4 = 12.5
De [1] tenemos que:
x = 50 - y = 50 - 12.5 = 37.5
El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.
Which equation would you use to solve the following situation?
There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?
6 + x = 15
x - 6 = 15
15 + 6 = x
6 - x = 15
Answer:6+9
Step-by-step explanation:
because 5=10 is 15 and to get the same answer on any other questions like this is Example: 4+4 take 1 off of a digit and put that one on the other digit yw for the help
Answer:
15 + 6 = x
Step-by-step explanation:
9 Helen measures a rectangular sheet of paper as 197 mm by 210 mm, each correct to the nearest
millimetre. Calculate the upper bound for the perimeter of the sheet of paper.
Answer:
Perimeter of the sheet of paper = 814 mm²
Step-by-step explanation:
Given:
Length of side = 197 mm
Width of side = 210 mm
Find:
Perimeter of the sheet of paper
Computation:
Perimeter of the sheet of paper = 2[l+b]
Perimeter of the sheet of paper = 2[197+210]
Perimeter of the sheet of paper = 814 mm²
In square ABCD, m∠AED=(8x−6)°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
12
Step-by-step explanation:
The angle equals 90 degrees so (8*12-6) would equal 90
evaluate -19.2 + 87.31 please shoe work!
Answer:
the answer is 68.11
Step-by-step explanation:
use symbolab I use it all the time
Answer:
68.11
Step-by-step explanation:
Since one number is negative, your equation is basically
87.31 - 19.2= 68.11
Hope I can be brainliest (:
Please help me with this problem!
240THE ANSWER IS 240
Translate the sentence into an equation.
Twice the difference of a number and 8 is 6.
Use the variable c for the unknown number.
Answer:
c-8=6
Step-by-step explanation:
C-8=6
is the and
Thank me
The sum of three number is 126. The third number is 4 times the second. The second number is 6 less than the first. What are the numbers?
Step-by-step explanation:
ASK

ALGEBRA II
Ingrid H.
asked • 04/02/20
The sum of three numbers is 126 . The third number is 3 times the first. The second number is 6 more than the first. What are the numbers?
The sum of three numbers is 126
. The third number is 3
times the first. The second number is 6
more than the first. What are the numbers?
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1 Expert Answer
By:Best
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Mackenzie K. answered • 04/02/20
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Lets define a=1st number, b=2nd number, and c=3rd number
We know that a+b+c=126
We also know that the second number is 6 more than the first, so we can represent this as b=a+6
We also know that the third number is 3 times the first which can be represented as c=3a
We can plug these new values into our original equation and get:
a+(a+6)+(3a)=126
2a+6+3a=126 COMBINE LIKE TERMS
5a+6=126
5a=120
a=24
Our first number is 24.
Our second number is 6 more than our first number, so the second number is 24+6=30
Our third number is 3 times the first number, so the third number is 3(24)=72
We can check by plugging these numbers in for a, b, and c in our original equation
a+b+c=126
24+30=72=126
126=126
The numbers are 26, 20, and 80.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Three numbers:
First = a
Second = b
Third = c
Now,
a + b + c = 126 ____(1)
c = 4b ____(2)
b = a - 6 _____(3)
From (1), (2), and (3) we get,
a + (a - 6) + 4b = 126
a + a - 6 + 4b = 126
2a + 4b = 126 + 6
2a + 4b = 132
2a + 4(a - 6) = 132
2a + 4a - 24 = 132
6a = 132 + 24
6a = 156
a = 26
Now,
a = 26
b = a - 6 = 20
c = 4b = 4 x 20 = 80
Thus,
The numbers are 26, 20, and 80.
Learn more about expressions here:
https://brainly.com/question/3118662
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What is 48,020,000 expressed in scientific notation?
A. 4.802 x 10^7
B. 0.48 x 10^-8
C. 0.4802 x 10^8
D. 4.802 x 10^8
Answer:
im pretty sure it is answer A. 4.802 x 10^7
Step-by-Step explanation
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 48,020,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 48,020,000
New Number: 4.8020000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 4 . 8 0 2 0 0 0 0
Decimal Count: 1 2 3 4 5 6 7
There are 7 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 4.802 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
4.802 x 107
Step 4
Check your work:
107 = 10,000,000 x 4.802 = 48,020,000
what are you doing right now?
Answer:
Nun u
Step-by-step explanation:
DOING YA MOM
Just kidding, I am eating Chicken Pot Pie while working on my day off (:
4. An acre is 43,560 square feet. How much would it cost to fence in a 4 acre rectangle of land at
$0.55 cents per foot?
Answer:
174,242.2
hope tis help
Step-by-step explanation:
HURRY HELP
Tammy sold a diamond ring for $10,000. She placed the money into a CD with a 3.9% interest rate compounded
annually. What is the interest earned on the amount after 4 years?
a.)$1653.66
b.)$1984.87
c.)$1492.04
d.)$1119.99
=====================================================
Work Shown:
Use the compound interest formula
A = P*(1+r/n)^(n*t)
A = 10000(1+0.039/1)^(1*4)
A = 11,653.65589441
A = 11,653.66
That's the amount of money Tammy will have at the end of 4 years.
Subtract off the principal from this value to get the interest.
interest = A - P
interest = 11,653.66 - 10,000
interest = 1,653.66
–9w + 7 = –3 − 10w
is it a identity
Answer: w= -10
Step-by-step explanation:
1. add 3 with positive 7 to make 10. The equation is now -9w+10= -10w
2. add 9 with -10 to make -1w the is now 10= -1w
3. divide 10/-1 to make -1
and that’s how w= -10
no it’s not identity
Which is the most appropriate rate with which to calculate an answer to his question?
What is the solution of the system of equations shown in the graph ?
A) (1,0) and (-3,0)
B) (0,-3) and (0,-1)
C)(-1, -2)
D) (-2,-1)
5w - 4 > 11
Help please
Answer:
w > 3
Step-by-step explanation:
5w - 4 > 11
5w > 15
w > 3
I think the answer is w= 6 or more
Step-by-step explanation:
I think it's this bc if u do 5 times 6 equals 30 then minus 4 is 26. 26 or more is greater than 11
Which ones measure to 92 degrees
Answer:
angles 4 7 and 6........
The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 80I I2 + I + 9 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?
Answer:
At ; I = 3, P is at maximum
Step-by-step explanation:
P ( I ) = [tex][ \frac{80 I}{I^2 + I + g } ][/tex]
at I = 3
P" ( I ) < 0
therefore at I = 3 the value of P( I ) is at maximum
attached below is the detailed solution
PLEASE HELP I'LL GIVE YOU 23 POINTS
THERE IS A SCREEN SHOT BUT JUST IN CASE YOU CANT ACCESS IT I'LL ADD THIS!
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answer:
45 degrees
Step-by-step explanation:
pretty sure
Answer:
x = 55
Step-by-step explanation:
to find angle BPR you would do:
180 - 120 = 60
so BPR is 60°
now to find x you do this:
65 + 60 + x = 180
125 + x = 180
x = 55