Answer:
csc Θ = [tex]\frac{17}{15}[/tex]
Step-by-step explanation:
Given
tan Θ = - [tex]\frac{15}{8}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] ← of a right triangle , then
hypotenuse h² = 15² + 8² = 225 + 64 = 289 ( square root both sides )
h = [tex]\sqrt{289}[/tex] = 17
Using the identity
csc x = [tex]\frac{1}{sinx}[/tex]
sin Θ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
Since Θ is in second quadrant then sinΘ and csc Θ > 0, thus
csc Θ = [tex]\frac{1}{\frac{15}{17} }[/tex] = [tex]\frac{17}{15}[/tex]
HELP PLS ASP WITH THE CORRECT ANSWER I WILL GUVE YOU 17 POINTS PLS ASP!!!! Drag and drop the angles pairs to correctly match their description
Simplify the expression 3+-2 (x-5)
Answer:
13 - 2x
Step-by-step explanation:
3 + (-2)(x-5) =
= 3 + (-2x + 10)
= 3 - 2x + 10
= 13 - 2x
Write the rule for the nth term of the sequence. Then find a11-3.5, 3, 2.5, 2, 1.5, ...
Answer:
a₁₁ = -3/2
Step-by-step explanation:
3.5; 3 ; 2.5; 2 ; 1.5..............aₙ
the nth termaₙ = -n/2 + 4
a₁₁ = (-0.5)(11) + 4
a₁₁ = -3/2
I need help with plotting these points
Answer:
look at the bar gragh, then take the year and then go to the x-axis in the ployt graph and take the tickets and alighn the two together so there is a plot
Step-by-step explanation:
It is easy
help pls don’t understand this one
Answer:
EFA
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees none of the other lines add up to 180 degrees and are also part of a vertical pair
An electric motor pumps water into a pool at a rate of 500 liters per hour. After a tune up, its rate increases by x liters per hour. If the motor now takes 3 hours to pump 1800 liters, in which equation does x represent the increase in speed after the tune up?
Answer: 3(500+x)=1800
Select the condition for which it is NOT possible to construct a triangle.
A triangle with side lengths 4 cm, 5 cm, and 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm
A triangle with side lengths 4 cm and 5 cm and an included 50°angle
A triangle with angle measures 30° and 60°, and an included 3 cm side length .
Answer:
A triangle with side lengths 4 cm, 5 cm, and 15 cm
Step-by-step explanation:
In order to form a triangle with given side lengths, sum of any two sides must always be greater than the third side.
[tex]4+5= 9\ngtr 15\\[/tex]
PLEASE ANSWER IM SO SO SO DESPERATE
Answer:
Step-by-step explanation:
so volume of cylinder is
V= [tex]r^{2}[/tex] (pi)
V=5'2 (pi)
V=78.5
Rafael is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 3 flavors, and 1 topping to choose from. How many different ice cream desserts could he order?
Answer:
9
Step-by-step explanation:
Multiply the number of sizes by flavors, the by toppings.
3*3*1
help ehlp help help help
Answer:
b. Sarah has driven "x" miles of a 35 mile trip.
Step-by-step explanation:
B makes the most sense because the reader does not know how many miles she has driven.
Answer:
its b
Step-by-step explanation:
How are the ratios 44 beats :1 min and 220 beats 5 min alike? How are they different?
Answer:
thay are because...
Step-by-step explanation:
they all are the same and they all ahbe comman features and taht is the reason behind it I hope this helped :)
What are the intercepts of y=8x-18
Answer:
[tex]x-intercept=\frac{9}{4}[/tex]
[tex]y-intercept=-18[/tex]
Step-by-step explanation:
The y-intercept is where x is equal to 0, and the x-intercept is where y is equal to 0, so:
[tex]x-intercept=(x,0)\\y-intercept=(0,y)[/tex]
The equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept, so the y-intercept is -18.
Now set the value of y to 0 to find the intercept of x:
[tex]0=8x-18[/tex]
Solve for x. Add 18 to both sides:
[tex]0+18=8x-18+18\\18=8x[/tex]
Divide both sides by 8:
[tex]\frac{18}{8}=\frac{8x}{8} \\\\\frac{18}{8} =\frac{9}{4}\\ \\x=\frac{9}{4}[/tex]
The x -intercept is [tex]\frac{9}{4}[/tex].
[tex]x-intercept=(\frac{9}{4},0)\\\\y-intercept=(0,-18)[/tex]
:Done
Step-by-step explanation:
Step 1: Find the y-intercept
To find the y-intercept, you need to set the x-value to 0 and solve for y.
[tex]y = 8(0) - 18[/tex]
[tex]y = 0 - 18[/tex]
[tex]y = -18[/tex]
[tex](0, -18)[/tex] ← y-int
Step 2: Find the x-intercept
To find the x-intercept, you need to set the y-value to 0 and solve for x.
[tex]0 + 18 = 8x - 18 + 18[/tex]
[tex]18 / 8 = 8x / 8[/tex]
[tex]2.25 = x[/tex]
[tex](2.25, 0)[/tex] ← x-int
Write the quadratic function in the form g(x)=a(x-h)^2 +k.
Then, give the vertex of its graph.
g(x)=-2x^2 -16x-35
Answer:
cos ( 3 x )
sin ( 3 x )
tan ( 3 x )
tell whether the events are independent or dependent.Then find P(A and B)...You roll a number cube two times.Event A:You roll an odd number on the first roll.Event B:You roll a 4 on the second roll.
Answer:
Some probability situations involve more than one event. When the events do not affect one another, they are known as independent events. Independent events can include repeating an action like rolling a die more than once, or using two different random elements, such as flipping a coin and spinning a spinner. Many other situations can involve independent events as well. In order to calculate probabilities accurately, we need to know if one event influences the outcome of other events.
Answer:
The outcome of the first roll does not affect the probabilities of the outcomes for the second roll. Therefore, these events are independent.
Step-by-Step Explanation:
The events are independent since the person rolling had rolled a number cube twice, not switching it for the two events.
What one of the shape has a flat surface
Answer:
Cylinder
Step-by-step explanation:
A cylinder has a 2 flat surfaces.
1 on each side
Answer: Cylinder is the correct answer
Hope this helps.
The results of a survey show that the percent of adults in a certain town who want to add bike lanes to a major roadway is in the interval (0.47, 0.63)
(a) What is the point estimate for the percent who want to add the bike lanes?
(b) What is the poll’s margin of error?
(c) If the town’s adult population is 75,783, what is the best estimate for the number of people who would support the bike lanes?
Answer:
a) [tex]\hat p =\frac{Upper+Lower}{2}= \frac{0.47+0.63}{2}= 0.55[/tex]
b) [tex] ME = \frac{Upper-Lower}{2}= \frac{0.63-0.47}{2}= 0.08[/tex]
c) For this case in order to find the number of people who would support the bike lanes we just need to multiply the estimated proportion by the total size and we got:
[tex] X = 0.55* 75783= 41680.65 \approx 41681[/tex]
Step-by-step explanation:
For this case we have an interval for the true proportion of adults in a certain town who want to add bike lanes to a major roadway:
[tex] 0.47 \leq p \leq 0.63[/tex]
Part a
For this case the point of estimate is given by:
[tex]\hat p =\frac{Upper+Lower}{2}= \frac{0.47+0.63}{2}= 0.55[/tex]
Part b
We can estimate the margin of error with this formula:
[tex] ME = \frac{Upper-Lower}{2}= \frac{0.63-0.47}{2}= 0.08[/tex]
Part c
For this case in order to find the number of people who would support the bike lanes we just need to multiply the estimated proportion by the total size and we got:
[tex] X = 0.55* 75783= 41680.65 \approx 41681[/tex]
Adam went on a 54 \text { km}54 km54, start text, space, k, m, end text hike. He divided the distance traveled evenly over 666 days. How many meters did Adam walk each day?
Answer:
9000 metres
Step-by-step explanation:
He went on a 54 km hike. First, we have to find this distance in metres.
1 km = 1000 m
54 km = 54 * 1000 = 54000 m
He divided the distance evenly over 6 days.
To find how many metres he walked each day, we divide the total distance he hiked by the number of days spent. That is:
54000 / 6 = 9000 metres
He walked 9000 metres each day.
PLZ HELP ME!! I’m If you horizontally shift the absolute value parent function, F(x) = |xl, left three
units, what is the equation of the new function?
Answer:
g(x) = |x+3|
Step-by-step explanation:
Within the parentheses, it'll go left or right, outside of it, it'll go up or down
Select the correct answer.
A company employs 48 people in various departments. The average annual salary of each employee is $25,000 with a maximum variance of
$3,000. What is the range of the total salary that the company pays to its employees annually
OA $1,056,000 sxs $1,344,000
OB.
$264,000 < xs $336,000
OC. $88,000 sxs $112.000
OD
$22,000 sxs $28,000
Answer:
$24,890.46, $25,109.59
Step-by-step explanation:
Given:
n = 48, the sample size
m = $25,000, th sample mean
σ = $3000, the maximum variance
The standard deviation is
s = √σ = √(3000) = 54.772
As a rule of thumb, the range is 4 times the standard deviation. Therefore the range is
R = 4*54.772 = 219.09
Half the range is
R/2 = 219.09/2 = 109.45
The required range is
(25000-109.45, 25000+109.45) = (24890.46, 25109.54)
Answer: $24,890.46, $25,109.54
I need help ASAP!!
Write a word phrase to represent the numeral expression below
5+(17-8)
Answer:
deduce 8 from 17 and then add 5 to the remaining
A side of a square piece of cloth has a length of 12 inches what is the area of the piece of cloth
Answer:
144 inches squared
Step-by-step explanation:
multiply 12 by 12
Which of the following people would be considered an American citizens by birth ?
distance between (-3,1) (1,5)
Answer & Step-by-step explanation:
For this problem, we will use the distance formula.
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.
[tex]d=\sqrt{(1-(-3))^2+(5-1)^2}[/tex]
[tex]d=\sqrt{4^2+4^2}[/tex]
[tex]d=\sqrt{16 + 16}[/tex]
[tex]d=\sqrt{32}[/tex]
[tex]d=5.657[/tex]
So, the distance between (-3,1) and (1,5) is 5.657 units.
A cyclist travels 45 miles in 3 hours. What is the cyclist's speed?
Hint: Use the formula: d = r x t (distance = rate x time)
Remember that division and multiplication are INVERSE operations. So, 45 = r x 3
so you will have to divide the distance by the time to get the rate.
45 ÷ 3 to find the rate
A: 15 miles per hour
B: 12 miles per hour
C: 16 miles per hour
Answer:
15
Step-by-step explanation:
you would divide 45 and 3 to get 15 miles per hour
The heights, in feet, of the trees for sale at two nurseries are shown below.
Yard Works: 7, 9, 7, 12, 5
The Grow Station: 9, 11, 6, 12, 7
Which statements are true regarding the measures of center and variability of these data sets? Select three choices.
1. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
2. The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
3. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
4. The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
5. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
Answer: The awenser is c,D, a
Step-by-step explanation: I Took the test hope this helps!
Answer: Option A, C, D
(A) The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
(C) The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
(D) The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
Step-by-step explanation:
What is the slope of the line that passes through the points m(2,4) and N(-5,-3) on a coordinate plane?
F. -7
G. -1
H. 1
J. 7
Answer:
I
Step-by-step explanation:
Answer:
I believe the slope is 1.
Step-by-step explanation:
using the points, (2,4) and (-5,-3), I tried to find out the difference in point if both x and y spots. Then I figured out that the space between -5 and 2( the x-coordinates) is 7, and the space between 4 and -3( the y-coordinates) is 7 as well. No I add these numbers into y/x which is 7/7 and that so happens to be equal to 1 as a whole number.
Graph the function and identify the domain and range. y=-4x^2
Algebra test unit:4 lesson:10
Quadratic Functions and Equations Unit Test Part 1
1.C, 2.B, 3.A, 4.C, 5.B, 6.A, 7.A, 8.B, 9.C, 10.B, 11.D, 12.A, 13.B, 14.B, 15.C, 16.C, 17.B, 18.C, 19.D, 20.B, 21.C,
Answer:
Domain: All real numbers, Range: All real numbers greater or equal to 0.
Step-by-step explanation:
A second order polynomial is a continuous function and therefore, domains is the set of all real numbers. Lastly, the range of the function according to the graph is all values of x greater or equal to 0. The positive leading coefficient of the polynomial indicates the existence of an absolute minimum.
The graph of function is attached below.
Domain of function is, (-∞ ,∞ )
Range of function is (-∞, 0)
Domain and range :The domain of function is defined as all input values to a function, for which function is defined.
Range of the function is output values to a particular input value.
Given function is,
[tex]y=-4x^{2}[/tex]
This open down parabola.
Domain of function is, (-∞ ,∞ )
Range of function is (-∞, 0)
The graph of function is attached below.
Learn more about the domain and range of function here:
https://brainly.com/question/1942755
find the value of x help plz
Answer:
iin what numbers
Step-by-step explanation:
What is the median for the following scores for Mr.smiths first test? 55,42,78,99,69,83,74,83,97
Answer:
78
Step-by-step explanation:
The median of a set is the middle number.
First, we have to put the numbers into numerical order.
42, 55, 69, 74, 78, 83, 83, 97, 99
Then, count the number of numbers, which is 9
Then, the middle of 9 is 5, because:
1, 2, 3, 4, 5, 6, 7, 8, 9
There are four numbers on either side of 5.
Lastly, find the 5th number in the set.
It is 78. So, the median of the set is 78.
Answer:
78
Step-by-step explanation:
to know the median you should first order the numbers from the smallest to the largest. that is
42,55,69,74,78,83,83,97,99
you take the number in the middle or if the number found in the middle are 2 then you add them up and divide them by 2 because they are 2. so in this case the number is only one which is 78 so that is the median.
Which function best models the data?
y = 9,958(0.972)
y = 0.972(9,958)
y = 9,219x= 150
y = -150x + 9,219
Answer:
A. y= 9,958(0.972)
Step-by-step explanation:
Answer:
A. y= 9,958(0.972)
Step-by-step explanation: