The terminal ray of an angle A passes through the origin
The value of csc(A) is -1.2
How to determine the cosine of angle AThe coordinates of the terminal ray is given as:
(x,y) = (-4,-6)
Start by calculating the length (L) of the hypotenuse
[tex]L = \sqrt{x^2 + y^2}[/tex]
So, we have:
[tex]L = \sqrt{(-4)^2 + (-6)^2}[/tex]
Evaluate the exponent
[tex]L = \sqrt{52}[/tex]
Evaluate the root
[tex]L = 7.2[/tex]
The sine of the angle A is then calculated as:
[tex]\sin(A) = \frac{-6}{7.2}[/tex]
The csc of the angle A is then calculated as:
[tex]\csc(A) = \frac{1}{\sin(A)}[/tex]
So, we have:
[tex]\csc(A) = \frac{7.2}{-6}[/tex]
[tex]\csc(A) = -1.2[/tex]
Hence, the value of csc(A) is -1.2
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A lawn sprinkler sprays water 4 feet in all direction as it rotates.
Find the area of the lawn the sprinkler covers. Use 3.14 for pi.
Solution:
We know that:
To find the area of a circle, use πr².Since the sprinkler sprays water 4 feet in all directions, the radius will be 4 ft.
This means that:
Area of circle = (3.14)4²Now, let's solve for the area.
=> Area of circle = (3.14)16=> Area of circle = 3.14 x 16=> Area of circle = 50.24 ft² [Option D]HELP!
The yearly profit for a manufacturer that sells its product for x dollars is represented by the table below.
x P(x)
20 19,600
30 51,450
40 73,500
50 85,750
60 88,200
70 80,850
80 63,700
90 36,750
100 0
What does the x-intercept represent?
A.
the selling price of the product that will generate zero dollars in profit
B.
the amount of increase in the profit for every ten dollar increase in selling price
C.
the number of dollars in profit the manufacturer earns from selling their product
D.
the maximum profit the manufacturer can earn from selling their product
Answer:
the selling price of the product that will generate zero dollars in profit
Step-by-step explanation:
PLATO
The x-intercept of the given data represents the selling price of the product that will generate zero dollars in profit.
Intercepts of a straight line:The straight line intersecting any axis, the distance between the point of intersection on-axis and origin is called an intercept of the line.X intercept: When the Line intersects the X-axis at point (a,0), then a is the X intercept.Y-intercept: When the Line intersects the Y-axis at point (0,b), then b is the X intercept.How to solve the given problem?Plot the given data on the graph, with x on the x-axis and P(x) on Y-axis.As per the definition of X intercept, where the value of y - coordinate is zero, the x coordinate represents the x intercept.Thus the x-intercept for the given data is 100.As the P(x) defines the profit of manufacturer when the product is sold for x dollars.Thus, the x-intercept represents the selling price of the product that will generate zero dollars in profit.
Hence, option A is the correct answer.
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Zayn knows that during the month of April, the probability that it is windy on his way to work is 0.5, the probability that it rains on his way to work is 0.7 and the probability that it is both windy and raining on his way to work is 0.3.
Work out:
the probability it is windy, given that it is raining
the probability it is raining, given that it is windy.
Step-by-step explanation:
the probability it is windy, given that it is raining = p(w|r)=p(wπr)/p(r) =0.3/0.7 =3/7= 0.429
the probability it is raining, given that it is windy.
p(r|w)=p(wπr)/p(w) =0.3/0.5 =3/5 = 0.6
help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11.31
Step-by-step explanation:
Use the pythagorean theorem: c^2=a^2+b^2
18^2=14^2+b^2
324=196+b^2
128=b^2
b=11.31
[tex][Hello,BrainlyUser][/tex]
Answer:
[tex]\sqrt{128}[/tex]
Step-by-step explanation:
Right, let write down the Pythagorean Theorem equation or standard form of it. before we plug in the numbers.
[tex]a^2+b^2=c^2[/tex]
Right, so that is the equation of Pythagorean Theorem. So let plug in the numbers of b and c.
[tex]a^2+14^2+18^2[/tex]
So we have our values of b and c. Now, how do we find the missing number?
Well, let simplify thing further by squaring the numbers we have already.
[tex]a^2+196+324[/tex]
We will now subtract 196 from both side which gives us:
[tex]a^2=128[/tex]
Now we can square root the answer.
[tex]\sqrt{a^2} =\sqrt{128}[/tex]
Now, we are left with this:
[tex]a=\sqrt{128}[/tex]
So the final answer is [tex]\sqrt{128}[/tex] or the decimal value which is [11.31370849]
Round: 11.31
[CloudBreeze]
There are 180 white lockers in a school. There are 3 white lockers for every 5 blue lockers. How many
lockers are in the school?
There are
lockers in the school.
Answer:
There are 480 total lockers in the school.
If you invest $2000 at a rate of 8% per year, how many years will it take to earn at least $1000 in interest?
Answer:
around year 5ish or early 6 year
Step-by-step explanation:
Given Set and Set. Calculate the mean and mean absolute deviation for both sets. Then, answer the following questions. How many data points in Set are closer than one mean absolute deviation from the mean of Set ? How many data points in Set are further than two mean absolute deviations from the mean of Set ? Find the difference between the two means. How does this difference relate to the mean absolute deviation of each set? For example, is it the same as the mean absolute deviation, twice as much, half as much, etc?.
The difference between the mean of the two sets is 1, which is half the Mean absolute deviation.
What is mean absolute deviation?The mean absolute deviation is the average distance between the data points and the mean of the data set.
A.) For the data set M, {0, 1, 3, 4, 7}, the mean and the mean absolute deviation can be written as,
[tex]\text{Mean of M}, (\mu_M) = \dfrac{0+1+3+4+7}{5} = 3[/tex]
The mean absolute deviation of the set M,
[tex]MAD = \dfrac{1}{n}\sum_{i=0}^{n}|x_i-m(x)|[/tex]
[tex]MAD = \dfrac{1}{5}\sum_{i=0}^{5}|x_i-m(x)|\\\\MAD_M= \dfrac{10}{5} = 2[/tex]
Now, since the MAD of the set M is 2, therefore, the data points in Set M that are closer than one mean absolute deviation from the mean are 3 because the range of the one mean absolute deviation from the mean,
Mean±MAD
= 3±2
= 3+2, 3-2
= 5, 1
Thus, the numbers coming between 1 to 5 are the data points that are closer than one mean absolute deviation which is 3{1, 3, 4}.
B.) For the data set N, {1, 2, 3, 4, 5, 9}, the mean and the mean absolute deviation can be written as,
[tex]\text{Mean of N}, (\mu_N) = \dfrac{1+2+3+4+5+9}{6} = 4[/tex]
The mean absolute deviation of the set N,
[tex]MAD = \dfrac{1}{n}\sum_{i=0}^{n}|x_i-m(x)|[/tex]
[tex]MAD = \dfrac{1}{6}\sum_{i=0}^{6}|x_i-m(x)|\\\\MAD_m= \dfrac{12}{6} = 2[/tex]
Now, since the MAD of the set N is 2, therefore, the data points in Set N that are further than two mean absolute deviations from the mean of Set are 3 because the range of the one mean absolute deviation from the mean,
Mean±2MAD
= 4±2(2)
= 4+4, 4-0
= 8, 0
Thus, the number not coming between 8 to 0 are the data points that are further than two mean absolute deviations from the mean of Set N which are 1{9}.
C.) The difference between the mean of the two sets is 1, which is half the Mean absolute deviation.
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6
Rewrite the expression 2(2x + 1) using the Distributive Property.
Answer:
4x + 2
Step-by-step explanation:
2 times 2x is 4x plus 2 times 1 is 2
Find the tangent of ZH.
F
3/41
G
3141
3/82
H
Write your answer in simplified, rationalized form. Do not round.
Answer:
1 is your answer.........
16
Select the correct answer from each drop-down menu.
What is the equation of the quadratic function represented by this table?
х
у
-3
3.75
-2
4
- 1
3.75
0
3
1
1.75
y=
(x-
02 +
Answer:
[tex]y=\boxed{-\dfrac{1}{4}}\left(x-\boxed{-2}\:\right)^2+\boxed{4}[/tex]
Step-by-step explanation:
The graph of a quadratic function is symmetrical.
The axis of symmetry is the vertical line through the vertex of the parabola so that the left and right sides of the parabola are symmetrical.
From inspection of the given table, the axis of symmetry is x = -2 as the y-values of x = -3 and x = -1 are both 3.75.
Therefore, the vertex is (-2, 4).
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
(h, k) is the vertex.a is some constant.Substitute the vertex and one of the other points into the vertex formula and solve for a:
[tex]\begin{aligned}y&=a(x-h)^2+k\\\implies 3&=a(0-(-2))^2+4\\3&=a(2)^2+4\\3&=4a+4\\-1&=4a\\a&=-\dfrac{1}{4}\end{aligned}[/tex]
Substitute the vertex (-2, 4) and the found value of a into the formula to create an equation for the function:
[tex]y=\boxed{-\dfrac{1}{4}}\left(x-\boxed{-2}\:\right)^2+\boxed{4}[/tex]
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Answer:
-1/4 -2 4
Step-by-step explanation:
What is the area of a parallelogram with the base of 9 2/3 cm and a height of 5 1/4 cm
Step-by-step explanation:
area of parallelogram = b × h
therefore
[tex]a = \frac{29}{3} \times \frac{21}{4} [/tex]
[tex]a = 50.75[/tex]
if this helped pls give brainliest
A Men Trhows A Ball Off The Top Of A Building That is 46 feet hight he trows the ball with an anitial velocity of 33 ft/sec
a. write the equation to model this problem
b. use the model to estimate the height of the ball at 2.5 seconds.
c. what is the ball's maximum height?
The height of the ball at 2.5 seconds is 42.75feet
How to model the equation of a bodyThe standard equation for the equation is modeled as:
[tex]h(t)=t^2-v_0t+d[/tex]
Given the following parameters;
[tex]v_0=33ft/sec\\d = 46ft[/tex]
Substitute into the expression to have:
[tex]h(t)=t^2+33t-46[/tex]
The height of the ball at 2.5 seconds is xpressed as:
h(2.5) = (2.5)^2+33(2.5)-46
h(2.5) = 6.25+82.5-46
h(2.5) = 42.75 feet
Hence the height of the ball at 2.5 seconds is 42.75feet
The velocity of the ball at the maximum height is zero, hence;
v = dh/dt = 2t + 33
2t = 33
t = 16.5secs
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if a sphere and a cone have the same radius and height how is the volume of a sphere related to the volume of a cone?
Please help this is half my grade!!!!
Answer:
The volume of the silo is about 142.3 cubic meters. Try It! The volume of a sphere is twice the volume of a cone that has the same circular base and height. The formula for the volume of a sphere with radius r is V= r3.
Step-by-step explanation:
Notice that if a cone and a sphere have equal radius, and if the cone has a height equal to its radius, then the cone will fill the sphere exactly four times. This means that the volume of the sphere is $4 times the volume of the cone.
3.2. A sporting goods store sells soccer balls for a regular price of $40 each. If a team buys 20 or more
soccer balls, the store offers a discount of 15% off the price of each soccer ball.
How much more will it cost a team to buy 20 soccer balls than to buy 15 soccer balls?
A. $80
B. $100
C. $170
D. $200
Answer:
A. $80
Step-by-step explanation:
First, let's find the cost of 15 soccer balls.
[tex]15*40[/tex] $600Next, cost of 20 soccer balls.
20 x 40 = 80015 x 800 = 1200012000/100 = 120800 - 120 = 680Lastly, the difference between 20 and 15 soccer balls:
680 - 600 = $801+1=
Answer for 100 points please
Answer:
1 + 1 = 2
Hope this helps!
Answer:
The answer is 2
Step-by-step explanation:
Add 1+1 =2 because let's say you have 1 piece of paper then you have 1 more piece of paper that means that you have 2 pieces of paper.
Classify the expression: 5x 3x2 − 7x3 2. Linear expression Quadratic expression Cubic expression Quartic expression.
The given expression 5x+3x²-7x³+2 is a cubic expression.
What is a cubic expression?A cubic expression is a three-dimensional algebraic equation of the form ax³ + bx² + cx + d = 0, where the coefficients are a, b, and c, and the constant is d.
In order to classify the given expression as 5x+3x²-7x³+2, we need to rearrange the given expression,
[tex]5x+3x^2-7x^3+2\\\\=-7x^3+3x^2+5x+2[/tex]
Since the highest power that is in the expression is 3, therefore, the given expression is a cubic expression.
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This is a linear equation what is the answer
6a - 2b = 8 + b
Answer:
Slope = 2
a-intercept = 8/6 = 4/3 = 1.33333
b-intercept = 8/-3 = -2.66667
Step-by-step explanation:
Pls, choose me as brainliest!
Answer:
Slope = 2
a-intercept = 8/6 = 4/3 = 1.3...
b-intercept = 8/-3 = -2.6...
Step-by-step explanation:
your welcome
What is 4 divided by 932 please?
Answer: 0.0043
Step-by-step explanation:
4/932 = 0.004291845494 but if you round you get 0.0043
Hey there!
=> 4 ÷ 932
=> 4/932
=> 0.004291845493562
=> 0.0043
Therefore, 4÷932 is 0.004{3 dp}
If A(5,-4) and a scale factor of wis applied,
what is A'?
Answer:
A is B and B is C
Step-by-step explanation:
A B C D E F U
You buy a pair of jeans for $30 and there is a tax of 8%. What is the total cost of the jeans?
Answer:
32.40
Step-by-step explanation:
Hard to explain but there's the answer
What is 1/2 of 3/4??? Need help ASAP! Brainliest to first correct answer!
Solution:
Note that:
Given sentence: 1/2 of 3/4Let's reread the sentence carefully.
1/2 of 3/4
↥ ↥ ↥
1/2 x 3/4
Expression formed: 1/2 x 3/4
Simplify the expression.
1/2 x 3/4=> 1 x 3/2 x 4=> 3/8The average height of 5 students is 1.45 m. If one student left the group,the average height of the remaining four of them is 1.44 m. What was the height of the student who left
Answer:
4 students
Step-by-step explanation:
The average = sum of all observations divided by a number of observations. Sum of heights of 4 students = 1.44 ×4 = 5.76. Clearly, height of student who left = Sum of all heights - Sum of heights of 4 students.
What is the LCD of 1/6 and 7/12
Answer:
the answer to your question is 12
There are 840 tickets available for a concert.
1
of these tickets have not been sold.
7
How many of the tickets have been sold?
Answer:
839 should be the answer?
Step-by-step explanation:
840-1?
Which simplified expression represents the area of the parallelogram? –4x3 14x – 24 square centimeters 2x3 – 6x2 – 14x 24 square centimeters –4x3 – 14x 24 square centimeters 2x3 6x2 14x 24 square centimeters.
The simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24
How to calculate the area of a parallelogramArea of a parallelogram = base * height
Given the following
Base = 2x^2 + 2x - 6
Height = x - 4
Substitute into the formula to have:
Area of a parallelogram= (x-4)(2x^2 + 2x - 6)
Area of a parallelogram= 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24
Area of a parallelogram= 2x^3 - 6x^2 -14x + 24
Hence the simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24
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Select all the rational numbers.
Can anyone help me pls asap???
Answer:
Lin is taller than 150 centimeters but shorter than 160 centimeters. She could be ... (just put any number that is in between 150 and 160, like 155
Step-by-step explanation:
Answer:
lin is taller than 150
But shorter than 160
She could be 154 centimeters tall
The sign > means greater than.
The sign < means less than.
So, if h > 150, h is greater than 150
And, if h < 160, h is less than 160
h represents Lin
So, lin is taller than 150
But shorter than 160
She could be anywhere in between 150 and 160
So, she could be
151, 152, 153, 154, 155, 156, 157, 158, or 159
Just choose one of those.
WILL GIVE BRAINLIEST I ONLY HAVE 20 MINS
Answer:
The answer is (D)
Adding the 5 and 3 then multiplying them by the numbers in the brackets in order to remove them from the brackets
In other words Simplifying the equation
please help!!!!!!!!!!!! Will mark brainliest
Answer:
○ [tex]\displaystyle 3 ≤ f(x) ≤ 5[/tex]
Step-by-step explanation:
All you do is plug 12 and 4 into the equation to get the range of quantities:
[tex]\displaystyle \boxed{5} = \sqrt{2[12] + 1} \\ \boxed{3} = \sqrt{2[4] + 1} \\ \\ \boxed{\boxed{3 ≤ f(x) ≤ 5}}[/tex]
I am joyous to assist you at any time.
Which equation represents the number of words (w) Waylon can type in m minutes?
Answer:
see explanation
Step-by-step explanation:
For words per minute divide 228 by 4
words per minute = \frac{228}{4}
4
228
( = 57 )