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
**PLEASE ANSWER** 20 POINTS, Rebeka claimed the equation 3x + 4 = 10 has two solutions. Explain the error in Rebeka’s claim.
Answer:
x=2
Step-by-step explanation:
3x+4=10
subtract four on both sides, you will get 3x=6, divide by three on both sides, x=2
help pleaseeee slope of a line~ if there are two answers ill give brainliest for sure!
Answer:
Step-by-step explanation:
The answer would be 1/3
Hope this helps :)
Find the 96th term of the arithmetic sequence 1, -12, -25, ...
Answer:
a₉₆ = - 1234Step-by-step explanation:
-12 - 1 = -13 and -25 - (-12) = -13 ⇒ d = -13
[tex]a_n=a_1+d(n-1)\\\\a_1=1\\d=-13\\n=96\\\\a_{96}=1+(-13)(96-1)\\\\a_{96}=1-13\cdot95\\\\a_{96}=1-1235\\\\a_{96}=-1234[/tex]
The sum of two numbers is 64 and the difference is 8. What are the numbers?
Answer:
The answer is 36 and 28
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
The addition is one of the four fundamental mathematical operations. The two of the given numbers are 36 and 28.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Let the sum of two numbers be represented by a and b.
Given that the sum of the two numbers is 64. Therefore, we can write,
a + b = 64
Also, it is given that the difference between the two numbers is 8, therefore, we can write,
a - b = 8
Adding the two of the equation formed together, then,
a + b + a - b = 64 + 8
2a = 72
a = 72/2
a = 36
Substitute the value of a in any one of the two equations,
a + b = 64
36 + b= 64
b = 64 - 36
b = 28
Hence, the two of the given numbers are 36 and 28.
Learn more about Addition here:
https://brainly.com/question/14092461
#SPJ2
find the distance bdtween point A to AZ. round your answer to the nearest tenth. big ideas math
Answer:
wheres A though? Try to provide a picture or something.
What is 1 1/3 minus 5/6
Answer:
1/2
Step-by-step explanation:
First, convert 1 1/3 to improper fraction:
1 1/3 = 4/3
Second, make denominator the same by multiplying 4/3 by 2/2:
4/3 * 2/2 = 8/6
Third, subtract:
8/6 - 5/6 = 3/6
Fourth, simplify:
3/6 = 1/2
The correct answer for the difference between [tex]1\dfrac{1}{3}[/tex] and [tex]\dfrac{5}{6}[/tex] is [tex]\dfrac{1}{2}[/tex] .
Given expression:
[tex]1\dfrac{1}{3} - \dfrac{5}{6}[/tex]
convert [tex]1\dfrac{1}{3}[/tex] to an improper fraction:
[tex]1\dfrac{1}{3} = \dfrac{3*1 + 1}{3}[/tex]
= [tex]\dfrac{4}{3}[/tex]
Now, the expression becomes:
[tex]\dfrac{4}{3} - \dfrac{5}{6}[/tex]
To subtract these fractions,
The common denominator is 6.
Rewrite the fractions with the common denominator:
[tex]\dfrac{4}{3}*\dfrac{2}{2}[/tex]
= [tex]\dfrac{8}{6}[/tex]
The expression becomes:
[tex]\dfrac{8}{6} - \dfrac{5}{6}[/tex]
Subtract, the numerators while keeping the common denominator:
= [tex]\dfrac{8-5}{6}[/tex]
= [tex]\dfrac{3}{6}[/tex]
Divide numerator and denominator by greatest common factor (which is 3):
3 ÷ 3 = 1
6 ÷ 3 = 2
= [tex]\dfrac{1}{2}[/tex]
The correct answer is for [tex]1\dfrac{1}{3} - \dfrac{5}{6}[/tex] is [tex]\dfrac{1}{2}[/tex].
Learn more about Improper fraction here:
https://brainly.com/question/21449807
#SPJ6
Jose earns $3680 per month, of which 22% is taken out for federal and state income taxes and other required deductions. Last month he spent $775 for rent and 86.12 on clothing. What percent of his take-home pay did he spend on rent and clothing combined?
Answer: 30%
Step-by-step explanation:
Firstly, we find 22% of $3680. This will be:
= 22% × $3680
= 0.22 × $3680
= $809.60
Therefore, his take home pay will be:
= $3680 - $809.60
= $2870.40
We are further told that last month he spent $775 for rent and 86.12 on clothing. The amount combined will be:
= $775 + $86.12
= $861.12
The percent of his take-home pay did he spend on rent and clothing combined will be:
= 861.12 / 2870. 40 × 100
= 30%
Answer:
30%Step-by-step explanation:
Step one:
monthly earnings= $3680
22% of the earnings is
=22/100*3680
=0.22*3680
=$809.6
Jose's take home will be
3680-809.6
=$2870.4
Step two:
Required
percentage spent on rent and clothing
but the total cost of rent and clothing is
=775+86.12
=$861.12
percentage of rent and cloth is
=(861.12/2870.4)*100
=0.3*100
=30%
The percentage is 30% of the take home
Write down the inequality described by "six more than the value of is at least nine"and solve for x
Answer:
[tex]x\geq 3[/tex]
Step-by-step explanation:
[tex]x+6\geq 9\\x+6-6\geq 9-6\\x\geq 3[/tex]
Hello could I get help with this equation
11a+100=12
Step-by-step explanation:
-8
hope it helps:-) :-) :-) :-)
Answer:
a = -8
Step-by-step explanation: Subtract 100 on both sides to isolate the variable. From there you will have 11a = -88. If you divide on both sides to cancel them out you will get you answer for the variable -8.
Which expression is equivalent to –2(5x – 0.75)?
10x – 0.75
10x + 0.75
–10x – 1.5
–10x + 1.5
Answer:
It is the last answer
Step-by-step explanation:
Express as a trinomial. (3x – 10) (3x - 1)
Answer:
9x² - 33x + 10
Step-by-step explanation:
Given
(3x - 10)(3x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 1) - 10(3x - 1) ← distribute both parenthesis
= 9x² - 3x - 30x + 10 ← collect like terms
= 9x² - 33x + 10
Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?
They form an acute angle.
They form an obtuse angle.
They point in the same direction.
They point in opposite directions.
Answer:
no its not its b The angle between the vectors is obtuse.
Step-by-step explanation:
oh for the other one
he is right for that one but im right on the other thing for it like it
Both vectors point in the same direction.
Dot products of vector:The dot product of two vectors is given as,
[tex]a\cdot b=ab*cos\theta[/tex]
Where [tex]\theta[/tex] is angle between two vectors.
Given that, [tex]a\cdot b=24,a=4,b=6[/tex]
Substitute values in above relation.
[tex]24=4*6*cos\theta\\\\cos\theta=24/24=1\\\\\theta=cos^{-1}1=0[/tex]
Thus, both vectors point in the same direction.
Learn more about the vectors here:
https://brainly.com/question/24451741
2 X + 3 Y=_ 4
_ 5 x + 4 Y + 13 =0
X = -10
Y = 8
2 X + 3 Y = 4 ---- (i)
5 X + 4 Y + 13 = 0 ---- (ii)
rearranging eqn (ii), we have
5X + 4Y = -13 ----- (ii)
multiply eqn (i) by 5 and eqn (ii) by 2
10X + 15Y = 20 ---- (iii)
10X + 8Y = -26 ---- (iv)
subtracting eqn (iv) from (iii), we have
10X - 10X + 15Y - 8Y = 20 - (-26)
0 + 7Y = 20 + 26
7Y = 56
Y = 56/7
Y = 8
Substituting Y into eqn (i), we have
2X + 3Y = 4
2X + 3(8) = 4
2X + 24 = 4
2X = 4 - 24
2X = -20
X = -20/2
X = -10
Find the value of f(4) for the function.
f(x) = - 4(x + 3)
Answer:
-28
Step-by-step explanation:
f(4) is another notation for x = 4
so we just plug-in 4 for x
f(4) = -4((4)+3)
f(4) = -4(7)
f(4) = -28
The value of f(4) for the function is -28
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given a function as f(x) = - 4(x + 3)
f(4) is another notation for x = 4
Therefore we just plug-in 4 for x
f(x) = - 4(x + 3)
f(4) = -4((4)+3)
f(4) = -4(7)
f(4) = -28
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.
Answer:
A,D
Step-by-step explanation:
The requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
Consider trapezoid ABCD,
As we can see the trapezoid is translated 3 units to the left and one unit up,
So the expression of the given translation is given as,
(x, y) ⇒ (x - 3, y +1)
To for the trapezoid A'B'C'D'.
Thus, the requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.
Learn more about transformation here:
brainly.com/question/18065245
#SPJ6
1 point
17. A triangle has vertices at A (-3,-1), B (-6, -5),
C(-1,-4).
Which transformations would produce an image with
vertices A' (3,-1), B' (6,-5), C' (1, -4)?
A. A reflection over the x - axis
B. A reflection over the y- axis
C. A rotation 90° clockwise
D. A rotation 90° counterclockwise
Ο Α
The rule for the transformations would produce an image will be;
''A reflection over the y- axis''
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
A triangle has vertices at A (-3,-1), B (-6, -5), C(-1,-4) transformations would produce an image with vertices A' (3,-1), B' (6,-5), C' (1, -4)
Now,
We know that;
The rule for the transformation over y - axis will be;
⇒ (x, y) → (- x, y)
So, We get;
The rule for the transformations would produce an image is,
''A reflection over the y- axis''
Learn more about the transformation visit:
https://brainly.com/question/29788009
#SPJ2
Twice a number, increased by the sum of the same number and five.
Answer:
2x+(x+5)
not 100% sure but this is what i got
Step-by-step explanation:
4.There are 8 elephants in the zoo. Each elephant eats about 2.16 × 105 pounds of vegetation per year. The zookeeper asked Abdulla and Maryam to determine how many pounds of vegetation are required to feed all of the elephants. They wrote their solutions in scientific notation.
Answer:
1.728 × 106 pounds of vegetation
Step-by-step explanation:
From the question, each elephant eats 2.16 × 105 pounds of vegetation per year.
Since there are eight elephants, it will cost a total of 8× 2.16 × 105 pounds of vegetation per year = 1.728 × 106 pounds of vegetation
Is 16/27 a perfect square
Answer:
No
Step-by-step explanation:
16 is a perfect square but 27 is a perfect cube
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
(If you know the answer but you can't answer it put the answer in the comments pls asap)
Answer:
I'm sorry for taking an answer but what's the question? If you tell me the question in the comments I'd be happy to answer : )
what’s the slope for 6,14 and 10,9
Answer:
The slope is [tex]-\frac{5}{4}[/tex] .
Solve the system by Substitution
4x+4y=−4
y=−7x−7
(-1, 0)
(0, 2)
(0, -4)
(0, -1)
Answer:
(-1,0)
Step-by-step explanation:
I used a graphing calculator and that is the solution
Is this graph a function or not a function
Answer:
YEs it is a function
Step-by-step explanation:
Answer:
its a function
Step-by-step explanation:
A function from set X to set Y assigns one of Y's elements to each of X's elements.
1/5 k = 20 solvve for k
Answer:
k=100
Step-by-step explanation:
20x5=100
Answer:
k=100
Step-by-step explanation:
Solve for k by simplifying both sides of the equation, then isolating the variable.
2,550 gallons in 30 days i wish if you plz explain it.
Answer:
multiply 2,550 gallons to 30 and you will have your answer
Answer:
Step-by-step explanation:
first u will div 2550 by 30 and it will 38 gallons per day or per hour
I need to know the measurement of the fourth angle
Answer:
108° Make me Brainliest pls
Answer:
108 degrees
Step-by-step explanation:
All 4 angles of a quadrilateral added together is always equal to 360 degrees.
252 is the sum of 3 angles
therefore, in order to find the fourth measurment, we subtract 360-252
=108
Hope this was helpful
The sum of four consecutive integers is 74.
What is the first integer?
16
17
19
18
Answer:
17
Step-by-step explanation:
Answer:
it is 17 my boys
Step-by-step explanation:
Have a great day or make your day great
simplify by dividing [ -3/-8] divided by 5/9 (5 points)
A. -15/-72
B. 15/72
C. -27/-40
D. 27/40
Answer: D
Step-by-step explanation:
(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.
I think C was supposed to be -27/40 so D is the correct answer since it's positive.
Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.
a. y = -3x + 2
b. y = - 1/3x + 2
c. y = 3x - 3
d. y = -1/3x - 2
Answer:
i think its A..............
Step-by-step explanation:
A
Find the value of 5 (3)
Answer:
15
Step-by-step explanation:
You take 5 times 3.