Using the pythagorean identity, [tex]\cos^2{\theta} + \sin^2{\theta} = 1[/tex]. Since [tex]\theta[/tex] is in quadrant ||, we know that [tex]\cos{\theta}[/tex] is negative. Solving the equation [tex]\cos^2{\theta} + (\frac{4}{5})^2 = 1[/tex] for [tex]\cos{\theta}[/tex], we get that [tex]\cos{\theta} = -\frac{3}{5}[/tex].
[tex]\tan{\theta}[/tex] is equal to [tex]\frac{\sin{\theta}}{\cos{\theta}}[/tex], which is [tex]-\frac{4}{3}[/tex].
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
If sin θ = 4/5.
The value of the cosine is negative. Then the cosine of angle θ is given as,
cos θ = -√(1 - sin²θ)
cos θ = - √[1 - (4/5)²]
cos θ = - √[9/25]
cos θ = - 3/5
θ = 143.13°
The value of the tangent of angle θ is calculated as,
⇒ tan θ
⇒ tan 143.13
⇒ - 0.75
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
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A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to sider?
y=-X+9
y=-x+ 5
y=x-3
y= X+3
Let’s see if I can help you :)!
With two points you can define a line.
So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)
There are different ways to get the line. For instance, this one:
Y = a*x+b
a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,
y = -x + b,
Now use any point, say (3,6) to get b:
6 = -3+b-> b - 9.
Line is y = -x + 9,
It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.
Other method:
y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.
Really hope this helped you!
Answer:
The answer is B
Step-by-step explanation:
Questions are attached
Answer:
V = 32 in^3
Step-by-step explanation:
The area of the triangle is (1/2)(base)(height), which here comes to:
(1/2)(4 in)(8 in) = 16 in^2.
The volume is (16 in^2)(height) = (16 in^2)(2 in) = 32 in^3
Brainliest for whoever answers fully! Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised. (2 points)
Answer:
Hope this helps
Step-by-step explanation:
For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:
The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:
So our system is:
Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.
Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.
Given the equation of the circle below, find the center coordinate of the circle,
and the radius of the circle.
x² + y2 + 4y = 32
Center : (0, 2)
Center : (0, 2)
Center : (0, -2)
Center : (0, -2)
R = 26
R = 6
R = 36
R = 6
Answer:
Center : (0,-2), R=6
Step-by-step explanation:
x² + y² + 4 y = 32
x² + y² +4 y+4=36
x² + (y+2)²=36
Center : (0,-2), R=6
use De Morgan’s laws to write an equivalent statement.
It’s totally false to say that the student has special needs and doesn’t belong in this classroom.
Answer:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
Step-by-step explanation:
De Morgan's Laws
Not (A and B) is the same as Not A or Not B
Not (A or B) is the same as Not A and Not B
SO:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
What can a firm do to increase productivity in the short run once its marginal product is zero?
Increase the quantity of the input.
Decrease the quantity of the input.
Lower the price of its product.
Raise the price of its product.
Nothing, as more workers decreases total product.
Answer:
Decrease the quantity of the input
Step-by-step explanation:
The general assumption is that productivity is a curve that is concave downward, Hence marginal product is decreasing until it reaches zero. The way to increase it is to reduce the input quantity to a value below the point where the curve reaches zero marginal product.
Answer:
e) Nothing, as more workers decreases total product.
Step-by-step explanation:
I got it right on the test.
Which represents the polynomial written in standard form?
Answer:
Step-by-step explanation:
b
Answer:
I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2
Step-by-step explanation:
how to convert m into mm
Answer:
Multiply value in mm by 1000
Step-by-step explanation:
For example, 3m = (3 * 1000)mm
= 3000mm
Answer:
multiply by 1000
Step-by-step explanation:
1m = 1000mm
If i need convert meter en mikimeters
i multiply meter by 1000, example:
7 meters:
7 * 1000 = 7000 milimeters
another example:
4.75m = 4.75*1000 = 4750 milimeters
Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). 0.9, 0.5, 0.3, 1.1. Find the mean absolute deviation (MAD) of the data set.
Answer:
Step-by-step explanation:
MAD is simply the average distance that all of the numbers in your data set are from the mean. Your first step is to put your data in order, then determine the mean. Let’s look at this data set:0.3, 0.5, 0.9, 1.1
The mean of this data set is 0.7Starting with the lower extreme, and checking every number in your data set, determine how far each number is from the mean. First, put the numbers in numerical order, from least to greatest. Determine the distance each number is from 0.7. 0.3=0.40.5=0.20.9=0.21.1=0.4Add up all of the distances. Total distance from the mean (12) ÷ 4 numbers in our data set = a mean absolute deviation of 3.I added a PowerPoint that I made so that if you didn't understand it you could read off of it.
Answer:
[tex]0.3[/tex] - written in [tex]2/14/2021[/tex]
Step-by-step explanation:
The answer is [tex]0.3[/tex] because, [tex]\frac{0.9+0.5+0.3+1.1}{4} =\frac{2.8}{4} =0.7[/tex], so [tex]0.7[/tex] is the mean. After having found the mean, we have to subtract [tex]0.7[/tex] from the numbers, or the numbers from [tex]0.7[/tex]:
Data Point | Distance from the mean
[tex]0.9[/tex] | [tex]0.9-0.7=0.2[/tex]
[tex]0.5[/tex] | [tex]0.7-0.5=0.2[/tex]
[tex]0.3[/tex] | [tex]0.7-0.3=0.4[/tex]
[tex]1.1[/tex] | [tex]1.1-0.7=0.4[/tex]
After finding out the Distance from the mean we'll use their sums and add them all up: [tex]0.2+0.2+0.4+0.4[/tex], then divide them by [tex]4[/tex] because there are [tex]4[/tex] numbers combined together: [tex]\frac{0.2+0.2+0.4+0.4}{4}=\frac{1.2}{4}=0.3[/tex].
So that's why the answer is [tex]0.3[/tex] (Happy Valentines Day!)
HALP PLS 1000 students are arranged in several rows (more than 16). The numbers of students in each row are consecutive positive integers. How many students are there in the first row? (A) 20 (B) 25 (C) 28 (D) 44 (E) 80
Answer:
The correct option is;
(C) 28
Step-by-step explanation:
The information given are that;
The total number of students = 1000
The number of students in each row are consecutive positive numbers
Let the number of students in the first row be x,
Let the number of rows be 17
We have;
The number of students in the last row = x + 16
The number of students in the penultimate row = x + 15, we continue to get;
n×x + n/2×(n-1) = 1000
(The term n/2×(n-1) is from the sum of an arithmetic progression formula)
Which gives;
17×x + 17/2×16 = 1000
17×x = 1000 - 17/2×16 = 1000 - 136 = 864
x = 864/17 = Which is not an integer,
We continue checking till we get to 25 rows which gives;
25×x + 25/2×24 = 1000
25×x + 300 = 1000
25×x = 1000 - 300 = 700
x = 700/25 = 28
The number of student in the first row = 28 students.
Hurry !!!!!
The data Ilst shows the cost, In dollars, of different brands of sneakers at a shoe store.
44.99, 59.99, 32.30, 65.00, 52.59
What is the standard deviation, to the nearest tenth, of the data If the scores represent only a sample of data on sneaker
prices at the store?
ao
Answer:
12.895
Step-by-step explanation:
Standard deviation is a statistic that measures the dispersion of a sample. The sample standard deviation measures the spread of data distribution of the sample. It is usually used to estimate the population standard deviation.
help plz i want help
Answer:
1/3
Step-by-step explanation:
There are 9 possible outcomes
We want the ones that have the same color which are GG , YY or BB
P ( same color) = number of same color outcomes / total outcomes
= 3/9
=1/3
Answer:
1/3
Step-by-step explanation:
3/9, simplify to 1/3
Which of the following graphs represents the equation below? y= 0.666667x + 3
Answer:
the last graph
Step-by-step explanation:
the y intercept is clearly shown as three and then using rise over run you can see that the slope is 2/3 or 0.667
Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.
Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
Find the value of y.
Answer:
y is 3.6
Step-by-step explanation:
The information given are
Parallel lines crossing two converging lines with proportion 3 and 5 on one and 6 and y on the other
To find y, we have that two or more parallel lines cut by two transversal proportionately cut the transversal lines;
Therefore we have from the measured segment of the two lines;
[tex]\dfrac{3}{5} = \dfrac{y}{6}[/tex]
Which gives;
3 × 6 = 5 × y
y = 3 × 6/5 = 18/5
y = 18/5 = [tex]3\frac{3}{5}[/tex] , which is equal to 3.6.
A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exaclty three correct answers? PLS HELP ME
Answer:
9/20 (or) 45% (or) .45 (however your teacher wants it expressed)
Step-by-step explanation:
There are 20 experiments and 9 of them have three ones and two zeros.
9/20
In triangle ABC angle bisector AE is equal to EC. Given AC=2·AB, find m∠ABC, in degrees.
Answer:
m∠ABC = 90°
Step-by-step explanation:
Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.
We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...
m∠ABC = m∠ADC = 90°
Please help me with geometry questions :((
Answer:
[tex]14.\:\:\overline{RT}=3.3\:ft[/tex]
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
[tex]\frac{\overline{QT}}{\overline{RT}}=\frac{\overline{RT}}{\overline{TS}}\\\\\frac{5}{x}=\frac{x}{2.2}\\\\\Rightarrow x=3.3[/tex]
Best Regards!
Which expression is equivalent to
?
4 square root 6/ 3 square root 2
Answer:
Hope the picture helps
24 t 1,507 lb 12 oz + 7 t 938 lb 6 oz
Answer:
31t 2,446 lb 2oz
Step-by-step explanation:
24t+7t=31t
1,507+938=2,445 lb
12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)
31t+2,445 lb+1 lb + 2oz=
31t 2,446 lb 2oz
Find the mean absolute deviation (MAD) of the data in the bar chart below.
Mean absolute deviation of the given data is 1.5
What is Mean absolute deviation?The average absolute deviation of a data set is the average of the absolute deviations from a central point.
What is Mean?The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers
From the given bar chart
Mean = Sum of the terms / Number of terms
Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]
Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|
MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]
Hence, Mean absolute deviation of the given data is 1.5
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Answer:
1.5
Step-by-step explanation:
What is (12!) - (10!)?
Answer:
step 1
12! =479001600
step2
10!=3628800
step 3
479001600-3628800=
475372800
Write an ordered pair for the point
Answer:
(0, 1)
Step-by-step explanation:
The point lies on the line x = 0.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(0, 1)
8 elementary classes will be chosen to participate in a school lunch survey. There are 23 elementary classes in the school. In how many ways can the classes be chosen?
Answer:
490,314
Step-by-step explanation:
This is a combinations problem. The formula is n!/(n-r)!xr!
This is 23!/(23-8)!x8!=
23!/15!x8!=
19,769,460,480/40,320=
490,314
Using the combination formula, it is found that the classes can be chosen in 490,314 ways.
The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 8 classes are chosen from a set of 23, hence:
[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]
The classes can be chosen in 490,314 ways.
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PLEASE HELP! 10 POINTS Which relation is not a function?
Answer:
The first relation is not a function.
Step-by-step explanation:
If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.
The first relation is not a function.
a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.
Please help due today
Answer:
X=149-57+23
Step-by-step explanation:
X=149-57+23
Answer:
distance = 149 -57 +23
(-) is backward
(+) is forward
Pls Help!! Jazzmin has 2/5 of a pie. How many 1/10's of a whole pie are there in 2/5 of a whole pie?
Answer options: a.) 1/25 b.) 1/4 c.) 25 d.) 4
PLS write the correct answer
Answer:
d
Step-by-step explanation:
2/5÷ 1/10 = [tex]\frac{2}{5}*\frac{10}{1}[/tex]
= 2 * 2
= 4
Answer:
b
Step-by-step explanation:
LCD of (5, 10): 10
2/5=4/10(multiply top and bottom by 2)
(4/10)/(1/10)= 4
Therefore, 1/10 is 1/4th of 2/5
Which graphs is represent functions?
Answer:
graph b and d
Step-by-step explanation:
because they pass the vertical line test.
The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negati Which line is represented by the function f(x) = 2x + 1? (1 point) Line A Line B Line C Line D
The only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.
Linear Equation of a FunctionA linear equation that represents a line that has m as slope and b as y-intercept is given as y = mx + b.
Therefore, the line that represents the linear equation of the function, y = 2x + 1 , will have a slope of 2 and a y-intercept of 1.
Thus, the only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.
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Answer:
this will be the first graph
A
Step-by-step explanation:
nth term of this sequence please 18, 16, 14, 12
Answer:
[tex]\boxed{\sf -2n+20}[/tex]
Step-by-step explanation:
Let’s find the common difference.
The common difference can be found by subtracting a term in the sequence with the previous term.
[tex]\sf d=16-18\\d=-2[/tex]
Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.
[tex]\sf a_n=a_1+dn-d[/tex]
[tex]\sf a_1[/tex] is the first term of the sequence.
[tex]\sf d[/tex] is the common difference.
[tex]\sf a_n=18+-2n-(-2)[/tex]
[tex]\sf a_n=18+-2n+2[/tex]
[tex]\sf a_n=-2n+20[/tex]