Answer:
-sqrt(2)/2
Step-by-step explanation:
5pi/4 lies in the third quadrant with basic angle: 5pi/4 - pi = pi/4
sin(pi/4) = sqrt(2)/2
Since it's in quadrant 3, sin would be negative
sin(5pi/4) = -sqrt(2)/2
sqrt: square root
When the above math expression is evaluated, the value of sin(5π/4) is -√2/2.
How is this so?
To evaluate sin(5π/4), we can use the unit circle or trigonometric identities.
The angle 5π/4 is located in the third quadrant of the unit circle, where the sine function is negative.
In the unit circle, at 5π/4, the corresponding point is (-√2/2, -√2/2). The y-coordinate of this point represents the value of the sine function.
Therefore, sin(5π/4) = -√2/2. hence, the value of sin(5π/4) is -√2/2.
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Find the slope of the line between these 2 points.
(6, −12), (15, −3)
Answer:
1
Step-by-step explanation:
The slope of the line can be found by
m = (y2-y1)/(x2-x1)
= (-3 - -12)/(15-6)
= (-3+12)/(15-6)
= 9/9
= 1
12 Explain A bag includes one number card each for the numbers 1-25. Each of
25 students randomly selects a number card from the bag. Carrie says that if the number
is the input and the student is the output, the relationship is a function. Mario says that if
the student is the input and the number is the output, the relationship is a function. Who
is correct? Why?
Answer:
Let us say the domain in the first case, has the numbers. And the co-domain has the students, .
Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.
The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.
Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!
please help me understand and explain why it is that please
Help me please again :))
Answer:
x= 15
Step-by-step explanation:
85 and 6x+5 form a straight line.
They sum to 180
85+ 6x+5 = 180
Combine like terms
90 +6x = 180
Subtract 90 from each side
90+6x-90 = 180-90
6x = 90
Divide each side by 6
6x/6 = 90/6
x =15
Answer: x = 15
Step-by-step explanation: since it's a straight line so it's 180 degrees
so 6x + 5 = 95
6x = 90
x = 15
NEED ASAP!
Consider the following graph of an absolute value function.
a) rewrite the function as a piecewise function
b) which of the following absolute value functions represents the graph?
f(x)= |x+2| -1 or f(x)= |x+1| -2
c) describe the relationship between the absolute value function and the vertex of the graph
d) what is the line of symmetry of the graph?
The absolute value function can be expressed as a piecewise function. The correct absolute value function that represents the given graph is f(x) = |x + 2| - 1. The vertex of the graph is (-2, -1) and the line of symmetry is x = 2.
a) Rewrite the function as a piecewise function: The absolute value function can be expressed as a piecewise function by considering the different intervals where the expression inside the absolute value changes its sign. In this case, the function may be written as:
[tex]f(x) = \begin{cases} -(x + 2) - 1, & \text{if } x \leq -2 \\ (x + 2) - 1, & \text{if } x > -2 \end{cases}[/tex]
b) Which of the following absolute value functions represents the graph: To determine which of the given options matches the graph, we compare the expressions inside the absolute values with the piecewise function from part (a). In this case, the correct match is f(x) = |x + 2| - 1.
c) Describe the relationship between the absolute value function and the vertex of the graph: The vertex of the absolute value function f(x) = |x + h| + k is (-h, k). In this case, the vertex is (-2, -1). This means that the graph has been shifted two units to the left and one unit down.
d) What is the line of symmetry of the graph: The line of symmetry for an absolute value function of the form f(x) = |x + h| + k is the vertical line x = -h. In this case, the line of symmetry is x = -(-2) = 2. The graph is symmetric with respect to the line x = 2.
Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a
maximum point at (-2pi,9.8).
What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems
Answer: amplitude = 6.5
Step-by-step explanation:
The amplitude of a function is the maximum displacement from the from a fixed point or from the origin.
From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.
The peak or the maximum value = 9.8
Amplitude = 9.8 - 3.3 = 6.5
The maximum displacement is at Y axis
Which scatter plot would have a trend line with a negative y-intercept?
Answer:
B
Step-by-step explanation:
Which expression is equivalent to (2 + 3) + 5?
A) 2 + (3 + 5) B) 2(3 + 5). C) 2 + 15 D) 6 + 5
I NEED QUICK PLS THANK YOU FOR THE ANSWER IF YOU GIVE ME IT PLS
Answer:
The answer is A.
Step-by-step explanation:
This is Associative Law, a + (b+c) = (a+b) + c .
In the above triangle, which angle has the largest measure?
Answer:
Angle A
Step-by-step explanation:
Angle A is the opposite angle to the longest side of the triangle.
Because the angle is larger, the side opposite of it should be long enough to connect to the two other sides.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Will the area and perimeter be the same for a 12 by 12 square?
Pls explain why or why not
Answer:
No.
Step-by-step explanation:
For area you will multiply 12x12=144.
For the perimeter you will add 12+12=24
I hope this helps!
Maria spent 19 days traveling in South America how many hours did she spent traveling in South America
Answer:
456 hours
Step-by-step explanation:
19x24
Explain what is pi and how many number it has
Answer:3.14
Step-by-step explanation: It has inf numbers it never ends
If there are 6 hours in a school day, 5 school days in a week, 4 school weeks in
a month and 9 months in a school year, how many hours are there in a school
year?
hours in a school year
Answer:
40,516 hours
Step-by-step explanation:
.
Answer:
1,080
Multiply all of the numbers together
Find the surface area of the cone. Use 3.14 for pi and round to the nearest 10th. Diameter is 6ft and height is 7.6ft.
Answer:
105.2 ft²
Step-by-step explanation:
The diameter of the base of the cone is 6 ft which means its radius is:
r = d / 2 = 6 / 2 = 3 ft
Its height, h, is 7.6 ft.
The surface area of a cone is given as:
A = pi * r(r + √(h² + r²))
Therefore:
A = pi * 3(3 + √(7.6² + 3²))
A = pi * 3(3 + √(57.76 + 9))
A = pi * 3(3 + √(66.76))
A = 9.42(3 + 8.17)
A = 9.42 * 11.17 = 105.2214 ft²
Approximating to the nearest 10th, the surface area of the cone is 105.2 ft².
The length of a rectangle is (X + 8) and the width is (x - 3). Find the dimensions of the rectangle if the area is 42 square inches.
Answer:
Length = 14 inches
Width = 3 inches
Step-by-step explanation:
length * width = area
(x + 8 ) (x - 3) = 42
Use FOIL method
x*x - x*3 + 8*x - 8*3 = 42
x² -3x + 8x - 24 = 42
x² + 5x - 24 - 42 = 0
x² + 5x - 66 = 0
Sum = 5
Product = 66
Factors = 11 , (-6)
x² + 5x -66 = 0
x² + 11x - 6x - 6*11 =0
x(x + 11) - 6(x + 11) = 0
(x + 11) (x -6) = 0
x + 11 is ignored because length and width will not have negative value.
x - 6 = 0
x = 6
Length = x + 8 = 6 + 8 = 14 inches
Width = x - 3 = 6 - 3 = 3 inches
suppose the point (3,1) satisfies the function f(×). what point would satisfy g(x)=-2f(x/2)+1?
Answer: (6, -1)
Step-by-step explanation:
Given that point (3,1) satisfies the function f(×). From the equation
g(x)=-2f(x/2)+1
x/2 = 3
x = 6
Substitute the 1 for f(x/2)
g(x) = -2(1)+1
g(x) = -2 + 1 = -1
The point that would satisfy g(x)=-2f(x/2)+1 is (6, -1)
Solve the equation.
5u - 10 = 70
Answer:
u = 16
Step-by-step explanation:
5u - 10 = 70
Add 10 to each side
5u -10 +10 = 70+10
5u = 80
Divide each side by 5
5u/5 = 80/5
u = 16
What is StartFraction negative 23 over 6 EndFraction minus StartFraction 7 over 3 EndFraction
Answer:
-37/6
Step-by-step explanation:
Answer:
A -37/6
Step-by-step explanation:
Which is equivalent to 8.03 X 10^-8
Answer:
0.00000008
Step-by-step explanation:
The given value is 8.03 X 10^-8, which is already in scientific notation. None of the provided alternatives exactly match the given value. The closest number to the given value is 9.71 X 10^-8.
Explanation:The given value is 8.03 X 10^-8. This is already in scientific notation, where a number is represented as a decimal number between 1.0 and 10.0, multiplied by a power of 10. Therefore, it is equivalent to itself. If you would look for the equivalent among the options you have, none of them would match exactly the given value. The number that comes closest to your value from those given is 9.71 X 10^-8, but remember, these two are not exactly the same.
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What is an equation of the line that passes through the points (2,-6) and (1,-1)
Answer:
x=1
Step-by-step explanation:
Btw you should put answer choices :)
please help For each set of distances below, decide if the three points are collinear or form a triangle, or are impossible.
2. AB = 12, BC = 5, AC = 13 *
20 points
impossible
form triangle
collinear
3. AB = 11, BC = 3, AC = 7 *
20 points
impossible
form triangle
collinear
4. AB = 5, BC = 6, AC = 2 *
20 points
impossible
form triangle
collinear
5. AB = 8, BC = 1, AC = 9 *
20 points
impossible
form triangle
collinear
form triangle
In order for the points to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 5 + 6 = 11 > 2, 5 + 2 = 7 > 6, and 6 + 2 = 8 > 5. Therefore, the points form a triangle.
________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.
lengths of consecutive sides are not equal
slopes of opposite sides are equal
lengths of opposite sides are equal
slopes of consecutive sides are not equal
Answer:
the third option, lengths of opposite sides are equal.
Step-by-step explanation:
for edg users I just took the test.
what is the area of the square units
Answer:
Step-by-step explanation:
area of square=5×5=25 u²
Point E is located at coordinates (-7, -5) Point F is located at coordinates (-2, 7). What is the length of EF?
Please hurry
Answer:
12 units?
Step-by-step explanation:
The answer is 17 units
Lynne read 2.5 chapters of her book on Tuesday, 4.25 chapters on Wednesday, and 5 chapters on Thursday. How many chapters did she read in total during those three days
Answer:
The answer is 11.75
Step-by-step explanation:
All youre gonna do is add up all of the chapters she read which would end up giving you 11.75 therefore that is the answer:)
Answer:
11.75
Step-by-step explanation:
If you add the whole numbers first it's 11 and then you add the decimals .5 is also .50. so .50+.25=.75
triangle feg is similar to ihj. what is the value of h
Answer:
what i dont get what ur trying to say
Step-by-step explanation:
Jake buys apples buy the pound and they are 24 pounds in one case. Jake wants to order 480 pounds of apples so how may cases does he have to order
Answer:
20
Step-by-step explanation:
24 pounds per case, and Jake wants 480 pounds.
480 ÷ 24 = 20 cases.
Kendrick brought a 5 kilogram can of peanuts for $8.75. What is the unit price?
Answer:
$1.75 per can of peanuts
Step-by-step explanation:
$8.75/5=$1.75
In a sample of 10 cabinets, the average height was found to be 37.3in. with a standard deviation of 3.
Give a point estimate for the population variance of the height of the cabinets. Round your answer to two decimal places, if necessary.
Answer:
[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]
Step-by-step explanation:
For this case we have a sample of n =10 and we have the following statistics:
[tex]\bar X = 37.3 , s= 3[/tex]
And we want to estimate the population variance. We need to remember that the population variance is given by this formula:
[tex]\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}[/tex]
And the sample variance is given by:
[tex] s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]
And we can find a formula for the population variance in terms of the sample deviation like this:
[tex] \sigma^2 = s^2 \frac{n-1}{n}[/tex]
And replacing we got:
[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]
help please .. don’t understand
Answer:
sinx = p/h , cosx = b/h , tanx = p/b
you can use these relations
Step-by-step explanation:
p = perpendicular = side opposite to the angle
h = hypotenuse = side opposite to the right angle
b= base
if no angles are given, p and b can be interchanged