Using the relation between the sine and the cosine of an angle, it is found that:
[tex]\cos{\theta} = -\frac{2\sqrt{2}}{3}[/tex]
What is the relation between the sine and the cosine of an angle?The sine squared of an angle, plus the cosine squared of the same angle, is equals to one, hence:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
In this problem, we have that the sine is given by:
[tex]\sin{\theta} = -\frac{1}{3}[/tex]
Hence:
[tex]\left(-\frac{1}{3}\right) + \cos^2{\theta} = 1[/tex]
[tex]\cos^2{\theta} = 1 - \frac{1}{9}[/tex]
[tex]\cos^2{\theta} = \frac{8}{9}[/tex]
[tex]\cos{\theta} = \pm \sqrt{\frac{8}{9}}[/tex]
[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex]
We have that pi < theta < 1.5pi, hence the angle is in the third quadrant, where the cosine is negative, thus:
[tex]\cos{\theta} = -\frac{2\sqrt{2}}{3}[/tex]
More can be learned about the relation between the sine and the cosine of an angle at https://brainly.com/question/27692818
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For the function y = log(x - 2)+1, which of the following statements is
true?
O A. The domain is (-2,-), and the range is all real numbers.
B. The domain is all real numbers, and the range is (1.).
C. The domain is (2,60), and the range is [1,0)
O D. The domain is (2.0), and the range is all real numbers.
SUBMIT
Answer:
Answer is A
Step-by-step explanation:
A P e X, didn’t just guess the answer like most people
Please help!!!
-9 is greater than
Answer:
Your answer would be D. -9
Step-by-step explanation:
Because the expression is already in decimal form.
Hope it's right!
Have a good day. =)
(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
What is the solution to log Subscript 5 Baseline (x + 30) = 3
x= -95
x= -5
x= 5
x=95
Answer:
95
Step-by-step explanation:
A cylinder has a height of 3.5ft, and a radius of 2ft. Find the volume of the cylinder.
Answer:
14π ft³
Step-by-step explanation:
We all need to know this volume formula: V = πr²h. Here r represents the radius of the cylinder and h the height of the cylinder. Here,
V = πr²h = V = π(2 ft)²(3.5 ft) = 14π ft³
Which inequality is true for x = 2?
A) 6x + 20 < 29
B) 7x − 10 < 11
C) 14x + 10 < 37
D) 15x − 18 < 12
Answer: d.
Step-by-step explanation:
Add 18 to both sides.
15x<12+18
Simplify 12+18 to 30.
15x <30
Divide both sides by 15.
x < 15/30
Simplify 30/15 to 2.
x < 2
The inequality 15x − 18 < 12 is true for x = 2
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, are some inequalities, we need to find which of them is true for x = 2
a) 6x + 20 < 29
Solving for x,
6x + 20 < 29
6x > 9
x > 3
b) 7x − 10 < 11
7x < 21
x < 3
c) 14x + 10 < 37
14x > 27
x > 27/14
d) 15x − 18 < 12
15x < 30
x < 2
Hence, the inequality 15x − 18 < 12 is true for x = 2
Learn more about inequality, click;
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Math question down below
Answer:
4
Step-by-step explanation:
use the x's and y's in this...
y-y over x-x
to get answer.
Answer:
The answered is 4
Step-by-step explanation:
Help!!!!!!
Describe the process you can use to solve a system of equations using a matrix.
Answer:
To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix.
Step-by-step explanation:
It just be that way sometimes
PLEASE HELP 100 POINTS! D) How do you calculate the he residuals for a scatter plot?
E) calculate the residuals for you scatter plot in step 2d (the picture of the graph is attached) I’ll give brainliest if you answer both! :)
Answer:
PLEASE HELP 100 POINTS! D) How do you calculate the he residuals for a scatter plot?
E) calculate the residuals for you scatter plot in step 2d (the picture of the graph is attached) I’ll give brainliest if you answer both! :)
“To find the residual, you would subtract the predicted value from the measured value so for x-value 1 the residant would be” is how you would find the answer.
What is the prime factorization for 36?
A. 22x32
B. 2x3x6
C. 6x6
Answer:
c. 6x6
Step-by-step explanation:
because 6x6 is =36
On Monday, a restaurant made $545 by selling 109 hamburgers.
If they sold 95 hamburgers on Tuesday, how much money did they make?
(Show your work below.)
Answer:
$475
Step-by-step explanation:
$545 / 109 = $5
$5 is the one hamburgers price
$5 x 95 = $475
$475 on Tuesday
can someone help me with (2/3 +1/4) • 5/6
Answer:
35/6
Step-by-step explanation:
add the fractions in parentheses by finding the common denominaters and adding. then multiply your answer by 5/6. :)
Answer:
The answer is 5/7 hope this helps
Step-by-step explanation:
what is the domaine of this function
Answer:
Step-by-step explanation:
The domain of a function is the complete set of possible values of the independent variable.
-1
(dont mind the circles on graph)
Answer:
-1 is the circle at in between -2 and 0
Step-by-step explanation:
bruh
Sam is transferring files from his friend's laptop into his flash drive. This is the formula for the size of the files on Sam's friends drive S (measured in megabytes) as a function of time t (measured in seconds): S(t)=5t+45
Use the above information to answer the following:
When the transfer began the drive had___ megabytes of files on it
Every 10 seconds, an additional___ megabytes are transferred into the drive.
Answer:
1. 45 megabytes
2. 50 megabytes
Step-by-step explanation:
Given
S(t) = 5t + 45
Required
Find S(t) when the transfer began
And find the additional transfer size at interval of 10 seconds
When the file transfer initially began, the value of t is 0.
Given that S(t)=5t+45.
Substitute 0 for t
S(0)=5 * 0 + 45
S(0) = 0 + 45
S(0) = 45.
Hence, the hard drive had 45 megabytes on it when the transfer started.
At every interval of 10 seconds. We take t to be 10, 20, 30...seconds
When t = 10
S(t)=5t+45 becomes
S(10) = 5(10) + 45
S(10) = 50 + 45
S(10) = 95 megabytes
When t = 20
S(t)=5t+45 becomes
S(20) = 5(20) + 45
S(20) = 100 + 45
S(20) = 145 megabytes
When t = 30
S(t)=5t+45 becomes
S(30) = 5(30) + 45
S(30) = 150 + 45
S(30) = 195 megabytes
Calculating the difference
Difference = S(30) - S(20) or S(20) - S(10)
Difference = 195 - 145 or 145 - 95
Difference = 50 or 50
See that the difference is the same.
So, at every 10 seconds interval, there's an additional 50 megabytes transferred
How to solve for x 2x + 3x -5 =20
Answer: x=5
Step-by-step explanation:
Simplify to 2x+ 3x -5 to 5x-5
5x- 5 = 20
Add 5 to both sides.
5x= 20+5
Simplify 20+5 to 25.
5x= 25
Divide both sides by 5.
x= 25/5
Simplify 25/5 to 5.
x=5
The legs of a right triangle measure 6 and sqrt(x). The
hypotenuse measures 10. Determine the value of x.
Answer:
The value of x is 64
Step-by-step explanation:
Given:
Length of the Legs of the triangle = 6 and √x
Hypothenus = 10
Required
Find x?
The legs of a rectangle is what is regarded to as the adjacent and the opposite sides of the triangle.
Assuming the following
Adjacent = 6 and Opposite = √x
We can then solve the given example using Pythagoras theorem as foloes;
[tex]Hyp^2 = Opp^2 + Adj^2[/tex]
By substituting 10 for Hyp; 6 for Adj and √x for Opp
[tex]10^2 = 6^2 + (\sqrt{x})^2[/tex]
Simplify
[tex]100 = 36 + z[/tex]
Collect Like Terms
[tex]x = 64[/tex][tex]x = 100 - 36[/tex]
Hence, the value of x is 64
The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answer:437
Step-by-step explanation:I took the test
Suppose that a teacher plans to give four students a quiz. The minimum possible score on the quiz is 0, and the maximum possible score is 10. What is the set of the four students scores that would make the standard deviation as large as it could be? A. 4,5,6,7 B. 0,0,10,10 C. 0,2,4,6 D. 1,4,9,10
How many ways can you plant 15 flowers from a group of 36 flowers?
Answer:
30.
Step-by-step explanation:
You could do 15 times the amount by 2 then add 6.
Which residual plots indicate that the original data set has a linear relationship? Check all that apply
Answer: A, B and E
Step-by-step explanation:
A residual values should be equally and randomly spaced around the horizontal axis. If the plot looks like any of the images in C and D, then the data set is probably not a good fit for regression. A non-linear pattern is more appropriate.
Simplify the following expression. 4^-11/3 divided by 4^-2/3
Answer:
Step-by-step explanation:
1
2 Simplify {4}^{11}4
11
to 41943044194304.
\frac{\frac{\frac{\frac{1}{4194304}}{3}}{{4}^{-2}}}{3}
3
4
−2
3
4194304
1
3 Use Negative Power Rule: {x}^{-a}=\frac{1}{{x}^{a}}x
−a
=
x
a
1
.
\frac{\frac{\frac{\frac{1}{4194304}}{3}}{\frac{1}{{4}^{2}}}}{3}
3
4
2
1
3
4194304
1
4 Simplify {4}^{2}4
2
to 1616.
\frac{\frac{\frac{\frac{1}{4194304}}{3}}{\frac{1}{16}}}{3}
3
16
1
3
4194304
1
5 Simplify.
\frac{\frac{1}{4194304}}{3\times \frac{1}{16}\times 3}
3×
16
1
×3
4194304
1
6 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{\frac{1}{4194304}}{\frac{3\times 1\times 3}{16}}
16
3×1×3
4194304
1
7 Simplify 3\times 13×1 to 33.
\frac{\frac{1}{4194304}}{\frac{3\times 3}{16}}
16
3×3
4194304
1
8 Simplify 3\times 33×3 to 99.
\frac{\frac{1}{4194304}}{\frac{9}{16}}
16
9
4194304
1
9 Invert and multiply.
\frac{1}{4194304}\times \frac{16}{9}
4194304
1
×
9
16
10 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{1\times 16}{4194304\times 9}
4194304×9
1×16
11 Simplify 1\times 161×16 to 1616.
\frac{16}{4194304\times 9}
4194304×9
16
12 Simplify 4194304\times 94194304×9 to 3774873637748736.
\frac{16}{37748736}
37748736
16
13 Simplify.
\frac{1}{2359296}
2359296
1
The square of 9 less than a number is 3 less than the number. What is the number?
-12 or 7
-12 or -7
- 7 or 12
7 or 12
Answer:
Let the number be x, then (x - 9)^2 = x - 3
x^2 - 18x + 81 = x - 3
x^2 - 19x + 84 = 0
(x - 12)(x - 7) = 0
x = 12 or 7
Step-by-step explanation:
WHat is the value of 599 x (400+37) QUICKKKKKK!!
239,637
261,763
432,599
599,437
Answer:
b: 261,763
Step-by-step explanation:
do the parenthesis then mutiply the 2 #s
Option B is correct. The value of 599 x (400+37) is 261,763.
Given the values A, B and C. According to the distributive law:
A(B + C) = AB + AC
Applying the rule to the given question:
599 x (400+37)
= 599(400) + 599(37)
= 239,600 + 22,163
Adding up the result
= 261,763
Hene the value of 599 x (400+37) is 261,763.
Learn more here: https://brainly.com/question/12953263
Which statement best summarizes the main idea of the above passage from
"An Indian Father's Plea"?
A. Wind-Wolf learned much of what he learned from public school.
B. Wind-Wolf has a different educational background than many
other children.
O C. Wind-Wolf looks and acts differently than the other children in his
school.
D. Wind-Wolf will often answer questions at school using answers
he learned from those in his tribe.
Answer:
Had to look for the missing passage and here is my answer. Based on the passage from "An Indian Father's Plea", I can say that the statement that shows the best summary about this is option D: Wind–Wolf has begun denying his native culture because it conflicts with his school culture. Hope this helps.
Step-by-step explanation:
Which 2 numbers have a least common multiple of 36?
Answer:
9 and 12,
Step-by-step explanation:
Answer:
nine and twelve (A)
Step-by-step explanation:
The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.
Find the solutions for a triangle with a = 16, c =12, and B = 63º.
a. A = 71.6°; C = 52.89; b =12.0
C. A = 68.6° C = 45.40; b=12.0
b. A = 71.6°; C = 45.40; b =15.0
d. A = 68.6°; C = 52.89; b=15.0
Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)
[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]
[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]
[tex]b \approx 15.022[/tex]
Angle A (Law of Cosine)
[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]
[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]
[tex]\cos A = 0.315[/tex]
[tex]A= \cos^{-1} 0.315[/tex]
[tex]A \approx 71.639^{\circ}[/tex]
Angle C (Sum of internal angles in triangles)
[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]
[tex]C = 45.361^{\circ}[/tex]
Hence, the right answer is B.
Simplify.
100x(5 - 3p)
500x - 3p
5x - 300p
500x - 300p
500x - 300px
Answer:
Step-by-step explanation:
100x(5-3p)=500x-300px
Write the prime factorization of 450 using exponents
Answer:
The prime factorization of 450 = 2•3 2 •5 2 . The prime factors of 450 are 2, 3 and 5.
Step-by-step explanation:
Answer:
2 × 3² × 5²
Step-by-step explanation:
450 ÷ 2 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
450 = 2×3×3×5×5
450 = 2 × 3² × 5²
Please help, need an answer ASAP
Answer:
I think your answer is correct
