Answer:
B -1/2
Step-by-step explanation:
The given trigonometric expression can be evaluated as -1/2.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
The given trigonometric expression is as below,
cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7)
Suppose, A = 11π/7 and B = π/7
Then, the given expression can be written as,
cosAcosB - sinAsinB
As per the trigonometric identity cos(A + B) = cosAcosB - sinAsinB.
Then, the given expression can be written as,
⇒ cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7) = cos(11π/21 + π/7)
⇒ cos(2π/3) = -1/2
Hence, the exact value of the given expression is -1/2.
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yall please hurry i WILL MARK BRAINLEST IF CORRECT OR FOR FIRST PERSON
Which statement is correct? StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction less-than-or-equal-to (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline) StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction less-than (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline) StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction greater-than (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline) StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction = (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline)
Answer:
A EDGE 2021!
Step-by-step explanation:
7
у
2
5
4
10
6
15
What are the input values?
someone help 6th grade math i will mark brainliest
Answer:
B. -2 *4
Step-by-step explanation:
If two lines are parallel to the same line, then they are parallel to each other. Is there a specific name for this theorem when being used in proofs?
Answer:
For a line:
y = a*x + b
where a is the slope, and b is the y-intercept.
Any other line with the same slope but different y-intercept will be parallel to this line.
Then if we have two lines like:
y1 = a*x + c
and
y2 = a*x + k
Both of them are parallel to our first line, and as you can see, both of them have the same slope and different y-intercept, then these lines are also parallel.
Now, the statement says that:
"If two lines are parallel to the same line..."
Then we can have the lines:
y1 = a*x + k
y2 = a*x + k
Both of them are parallel to our first line (same slope)
Buth these lines are the same line, then these lines are not parallel to each other (a line is not parallel to itself, because it intersects itself in infinity points), then the actual statement should be:
"If two different lines are parallel to the same line, then they are parallel to each other".
Now, this theorem does not have a particular name, just call it as the above statement.
A farmer receives a shipment of 40 1/2 kilograms of animal food. The animal food comes in bags weighing 13 1/2. What is the value of 40 1/2 divided by 13 1/2
Answer:
3
Step-by-step explanation:
Given that:
Weight of shipment = 40 1/2 kg
Weight per bag = 13 1/2 kg
The value of 40 1/2 divided by 13 1/2 will be ;
40 1/2 ÷ 13 1/2
81 /2 ÷ 27 /2
81/2 * 2/27
= 162 /54
= 3
Bill buys a new machine.
The value of the machine depreciates by 20% each year.
Bill wants to work out the value of the machine after 2 years.
By what single decimal number should Bill multiply the value of the machine when new?
Answer:
For a, the machine depreciates 20% of its current value each year. So, It will lose 20% of its value in the first year. Then in the second year, it will lose 20% of THAT value (not of the original value) and so on.
b) Since the machine loses 20% of its value each year, it retains 80% of its value each
i need help to solve please
Answer:
x = 24
Step-by-step explanation:
Here, The Right angled triangle is given
So, The sum of angles of right angled triangle is 180
Now,
2x + 42 + 90 = 180
2x + 132 = 180
2x = 180 - 132
2x = 48
x = 48/2
x = 24
FOR VERIFICATION ONLY:2x + 42 + 90 = 180
2(24) + 42 + 90 = 180
48 + 42 + 90 = 180
180 = 180
Hence, L.H.S = R.H.S
-TheUnknownScientist
In a school orchestra, the ratio of girls to boys is 3 : 2. There are 75 students in the orchestra. How many boys are in the orchestra?
There were 30 boys in Orchestra.
We have,
Total students in Orchestra= 75
Ratio of Girls to Boys = 3 :2
So, Number of Girls in Orchestra
= 3/5 x 75
= 3 x 15
= 45
and, Number of Boys in Orchestra
= 2/5 x 75
= 2 x 15
= 30
Thus, 30 Boys were in Orchestra.
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1.factor 12x^2+9
2.factor 25x^2-35
3.factor -x^2 - 2x
4.factor -5x^2+7x
5.factor -14x^2-7x
6.factor 27x^2-9x
392,196 divided by 87 (Using long division)
The result of 392,196 divided by 87 is 4,508.
What is long division?Long division is a mathematical process to divide numbers by using multiple steps. This process is applied to big numbers because it facilitates the process of dividing without using a calculator.
What are the steps for long division?Here are the steps you need to follow:
1. Identify the divident and the divisor.
Divident: 392,196
Divisor: 87 (number that divides)
2. Start dividing using one number at a time.
39 / 87 = 0392 / 87 = 4 (87x 4 = 348) - 4 is the first digit of the result392 - 348 = 44 (remainder)441 (next digit is one) / 87 = 5 (87x 5= 435) - 5 is the second digit441-435 = 6 (remainder)69 / 87 = not possible so add a 0, which is the third digit696 / 87 = 8 (87x 8 = 696)696- 696 = 0 (not remainder)Learn more about division in: https://brainly.com/question/369266
Write a rational inequality with the solution: (-2,-1)U(1, oo)
Answer:
[tex]\displaystyle \frac{x^2+3x+2}{1-x}<0[/tex]
Step-by-step explanation:
Rational Inequality
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
[tex](x-a)(x-b)<0[/tex]
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
[tex](x+2)(x+1)<0[/tex]
Operating:
[tex]x^2+3x+2<0[/tex]
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
[tex]\mathbf{\displaystyle \frac{x^2+3x+2}{1-x}<0}[/tex]
The solution to the inequality (-2,-1)U(1, ∞) is (-2, ∞)
Inequality
An inequality is an expression used to show the relationship between two or more numbers and variables.
A rational inequality is an inequality that contains a rational expression.
Given the inequality (-2,-1)U(1, ∞).
The solution to the inequality is (-2, ∞)
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helpieeeeeeeeeeeeeeeee plzzzzzzzzzzzz owo Will make brainlist
Answer:
9x^2-3x - 12
Step-by-step explanation:
(9x^2 + 6x - 7) + (-9x -5)
Simplify the expression:
9x^2 - 3x - 12
Factor:
Add and subtract the second term to the expression and factor by grouping.
3( x + 1 ) ( 3x - 4 )
Standard form:
9x^2 - 3x - 12
I hope this helps :)
write a equivalent equation for the 2
pls pls pls help! (if ur not gonna answer the question pls dont comment).
Answer:y-10=5/2(x-4) (the third choice)
Step-by-step explanation:
Point slope form is
y-y1=m(x-x1)
So y-10=5/2(x-4)
What is the volume of a rectangular prism with the dimensions 7m 8m and 9m
Answer:
504 m³
Step-by-step explanation:
The volume of the rectangular prism is V = 504 m³
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Let the volume of the prism be represented as V
Now , the value of V is
Let the height of the rectangular prism be H = 9 m
Let the length of the rectangular prism be L = 7 m
Let the width of the rectangular prism B = 8 m
where the base area of prism B = L x W = 7 x 8 = 56 m²
Now , the volume of the prism V = B x H
The volume of prism V = 56 x 9 = 504 m³
Hence , the volume of the rectangular prism V = 504 m³
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You might need:
Calculator
ZB
Round your answer to the nearest hundredth.
С
5
2
B
Anyone know?
Answer:
Step-by-step explanation:
One zettabyte is equal to 1, 000 exabytes or 1021 or 1, 000, 000, 000, 000, 000, 000, 000 bytes. A zettabyte is a little bit smaller than zebibyte that contains 1, 180, 591, 620, 717, 411, 303, 424 (2^70) bytes, and is abbreviated as “ZB”.
True or False. Rotations do NOT preserve lengths of segments and degrees of
measures of angles.
True
False
Answer:
false
Step-by-step explanation:
first person to answer get brainliest. 75 × 62 - 58 + 68 - 58
Answer:
4602
Step-by-step explanation:
Answer:75 × 62 - 58 + 68 - 58 = 4602
Step-by-step explanation:
How many solutions does y=x^2+5x-7 have
Answer:
2
Step-by-step explanation:
because their is 2 x's
Elwin is attempting to read a 480 page book in 28 days. He reads the first 60 pages in 4 days. At this rate, will he finish the book in time? Show your work and/or explain your reasoning.
Answer:
No, he won't
Step-by-step explanation:
Given
Target = 480 pages in 28 days
Rate = 60 pages in 4 days
Required:
Determine if he'll reach his target
The rate can be expressed using:
[tex]Rate = \frac{Pages}{Days}[/tex]
So, we have:
[tex]Rate = \frac{60\ pages}{4\ days}[/tex]
Multiply the fraction by [tex]\frac{7}{7}[/tex]
[tex]Rate = \frac{60\ pages}{4\ days} * \frac{7}{7}[/tex]
[tex]Rate = \frac{60\ pages * 7}{4\ days * 7}[/tex]
[tex]Rate = \frac{420\ pages}{28\ days}[/tex]
This can be interpreted as: 420 pages in 28 days
And his target is 480 pages in 28 days
Hence, he wont finish the book at that rate
find the slope of a line parallel to each given line y = x + 2
Answer:
y = x + 4
Step-by-step explanation:
For a line to be Parallel it has to have the same slope but different y intercept
Answer:
1
Step-by-step explanation:
This equation is written in the
y = mx + b,
where "m" is the slope, and "b" is the y-intercept.
In this case, m=1, hence the "x" has no coefficient; therefore, the slope of the given line is 1.
When 2 lines are parallel, they run next to each other, for infinitely long, yet they never touch. This means that 2 parallel lines have the same slope. Hence a line running parallel to the given one will also have a slope of 1.
what is the y-intercept of 10x + 5y = 30
Answer: 6
Step-by-step explanation: The y-intercept is 6 and the slope is -2.
First, we subtract 10x.
5y = -10x+30
Then we divide by 5.
y = -2x + 6
Now we have everything we need!
So the y-intercept is 6.
Hope this helps! :)
The y-intercept is "6".
Intercept:Given:
[tex]10x+5y=30[/tex]
y-intercept
[tex]10x+5y=30[/tex] y-intercepts
When y-intercepts the value it indicates that x=0 then
[tex]\to 10x+5y=30\\\\\to 10(0)+5y=30\\\\\to 5y=30\\\\\to y=\frac{30}{5}\\\\\to y=6[/tex]
When the y-intercept is value will be "6".
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HELP PLZ THIS IS DUE IN 7 MINS AND I WILL GIVE U BRAINLIEST JUST PLZ....
Answer: you add 1/6 each time and add the hour until you get 2/3
Step-by-step explanation: 1/6=1 1/3=2 and you keep going
Answer:
You can use the number line to find how many hours it will take the company to build the fence by multiplying whatever number you land on by 6
Step-by-step explanation:
If they build one mile of fence, it took 6 hours to build that much
If they build three miles of fence, it took them 18 hours to build that much
And so on and so forth
Solve for x.
3x - 7(2x + 6) = 22
PLS I NEED IT RIGHT NOWW
Answer:
x=-64/11
Step-by-step explanation:
3x-14x-42=22
-11x-42=22
-11x-42+42=22+42
-11x=64
Answer:
[tex] - 5 \frac{9}{11} [/tex]
Step-by-step explanation:
[tex]3x - 7(2x + 6) = 22 \\ \\ 3x - 14x - 42 = 22 \\ \\ - 11x = 22 + 42 \\ \\ - 11x = 64 \\ \\ x = \frac{64}{ - 11} \\ \\ x = - 5 \frac{9}{11} [/tex]
Solve: log x = 2 (note: x is a subscript)
Answer:
Wouldn't it be just 2 since it's already solved
Solve 2x<10. Explain how to find the solution set.
Answer:
X<5
Step-by-step explanation:
Divide by 2
Answer=5
Step-by-step explanation:
You can solve this question step by step as follows;
here
2x<10
place 2 to another side and you know it divides 10
or, x<10/2
or,x<5
therefore the answer is 5
-2m=6
Solve the equation using full working out
Answer:
m = -3
Step-by-step explanation:
-2m=6
Divide both sides by (-2).
m = 6 ÷ (-2)
m = -3
Each Saturday morning, Beau practices throwing pitches to his dad. His dad estimates the probability of each pitch Beau throws being a "strike" is 0.3. If each pitch is considered to be independent, what is the probability that the next three pitches thrown by Beau will all be strikes?
Answer: 0.27
Step-by-step explanation:
Given that :
Probability of being a strike ; p(strike) = 0.3
Note : the probability of each pitch Beau is independent :
Probability that next three will be a strike :
p(strike) * p(strike) * p(strike)
= 0.3 * 0.3 * 0.3
= 0.27
A study involves a population of 400 tall women. This population has a mean height of 179.832 cm and a standard deviation of 12.192 cm. If 50 of these women are randomly selected, find the probability that the mean for this sample group is above 182.88
Answer: 0.0386
Step-by-step explanation:
Given: The population of 400 tall women has a mean height[tex](\mu)[/tex] of 179.832 cm and a standard deviation[tex](\sigma)[/tex] of 12.192 cm.
Let X be a random variable that represents the height of woman.
Sample size : n= 50
The probability that the mean for this sample group is above 182.88 will be :
[tex]P(\overline{X}>182.88)\\\\=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{182.88-179.832}{\dfrac{12.192}{\sqrt{50}}})\\\\ =P(Z>1.7678)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z<1.7678)\\\\=1-0.9614\ \ \ [\text{By p-value table}]\\\\= 0.0386[/tex]
Hence, Required probability = 0.0386
A tow truck company in Houston charges a $40 service call fee and an additional fee of $15 per mile that the vehicle is towed. Write an equation in slope intercept form where c represents the total cost and m, represents the number of miles the vehicle is towed.
Answer:
c=15m+40Step-by-step explanation:
Step one:
given data
charged = $40 call fee
additional charges= $15 per mile
let the number of miles be m
and let the total charges be c
Required, the linear function which represents the total charges
Step two:
the equation for the charges in slope-intercept form is
c=15m+40