If 0 is an angle in standard position and its terminal side passes through the point(3.1), find the exact value of esce in simplest radical form.
Answers
The given problem can be exemplified in the following diagram:
We have that the angle theta is located at the vertex of a right triangle with an opposite side of 1 and the adjacent side of 3. We are asked to determine the value of the cosecant of the angle. Let's remember that the function cosecant is defined as:
\(\csc \theta=\frac{hypotenuse}{opposite}\)To determine the hypotenuse we will use the Pythagorean theorem. This is:
\(h^2=a^2+b^2\)Where:
\(\begin{gathered} h=\text{ hypotenuse} \\ a,b=\text{ sides} \end{gathered}\)Now we solve for the hypotenuse by taking the square root to both sides:
\(h=\sqrt[]{a^2+b^2}\)replacing the values:
\(h=\sqrt[]{(3)^2+(1)^2}\)Now we solve the square:
\(h=\sqrt[]{9+1}\)Solving the addition we get:
\(h=\sqrt[]{10}\)Now we replace in the definition for cosecant
\(\csc \theta=\frac{\sqrt[]{10}}{1}=\sqrt[]{10}\)Therefore, the value of the function is the square root of 10.
Related Questions
Dan was the team’s star batter. He had a batting average of 60%. If Dan had 30 hits last summer, how many at bats did he have?
Answers
Answer:
50 bats total
Step-by-step explanation:
To solve this problem, all one has to do is, set up a proportion, remember, a proportion is;
\(\frac{part}{whole} = \frac{percent}{100}\)
In this case;
\(\frac{hits}{total.bats} = \frac{percent}{100}\)
It is given that;
percent - 60%
hits - 30
Now substitute in the values and solve;
\(\frac{30}{total.bats} = \frac{60}{100}\)
Solve, first simplify;
\(\frac{30}{total.bats} = \frac{3}{5}\)
Now use cross products;
150 = 3(total_bats)
Inverse operations;
150 = 3(total_bats)
/3 /3
50 = total_bats
100 POINTS AND BRAINLIEST !!!!! (I need the answer ASAP) A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system’s solutions?
A.
The system has two solutions, and both are viable because they result in positive widths.
B.
The system has only one solution, but it is not viable because it results in a negative width.
C.
The system has two solutions, but only one is viable because the other results in a negative width.
D.
The system has only one solution, and it is viable because it results in a positive width.
Answers
Answer:
D.
Step-by-step explanation:
I'ts just reading the question over and over.
Answer:
The Answer is C
Step-by-step explanation:
I blessed you all and just guessed on the test on Plato/Edmentum and this was the right answer.
Describe how quadratics differ from functions that are not quadratics. Describe any symmetries that you see,asymptotes, the domain, range, how it is decreasing or increasing, concavity.
Answers
if we look at the different graphs shown for quadratic functions we can see that this type of function has symmetry along the vertical line formed at the vertex. Also, the domain usually integrates all the numbers along the x-axis, this means that the domain is all real numbers, however, the range is going to be different, this is going to depend on the concavity, there are two types of concavities for quadratic functions: when the function is concave up the graph is bending upwards, this means that the range will be the numbers greater than the vertex, this is because the graph won't take place at the y-axis for this numbers; when the function is concave down the graph is bending downwards and the range will be opposite as before, the range is going to be the numbers less than the vertex. Finally, another typical thing about this type of function is that the function might be decreasing or increasing depending on the concavity but when it reaches the vertex of the function the direction will change meaning that if it was decreasing, after the vertex it will start increasing, or if the function was increasing, after the vertex it will start decreasing.
\(undefined\)the probability of rolling an even number when an unfair die is rolled is about 0.65. which of the following is closest to the probability that an even number is rolled 15 or fewer times when the die is rolled 25 times total
Answers
The probability that an even number is rolled 15 or fewer times when the die is rolled 25 times total can be calculated using the binomial probability formula. In this case, the probability of success is rolling an even number (0.65) and the number of trials is 25.
Using the binomial probability formula, we can calculate the probability of getting 15 or fewer even numbers when the die is rolled 25 times as follows:
P (X <= 15) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 15)
Where X is the number of even numbers rolled and P(X) is the probability of getting X even numbers.
Using the binomial probability formula:
P(X) = (25 choose X) * (0.65)^X * (0.35)^(25-X)
Plugging in the values, we get:
P(X <= 15) = (25 choose 0) * (0.65)^0 * (0.35)^25 + (25 choose 1) * (0.65)^1 * (0.35)^24 + (25 choose 2) * (0.65)^2 * (0.35)^23 + ... + (25 choose 15) * (0.65)^15 * (0.35)^10
After calculating all the values, we get that the probability of rolling an even number 15 or fewer times when the die is rolled 25 times is about 0.28.
Therefore, the closest answer choice to the probability that an even number is rolled 15 or fewer times when the die is rolled 25 times is 0.25.
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A rocket is fired into the air modeling the equation h = -16t2 + 512t + 50, where "t" is the time in seconds and "h" is the
3
height in feet
Answers
Please help I need part A and B
Answers
Formula for the mass m = Dv and the mass of gasoline is 9520 gm. The formula for volume is v = m/D and the volume of the syrup is 52.63 cm³.
What is the meaning of mass?
A measure of the amount of matter contained in or constituting a physical body.
Given that, D = m/v
Multiply both sides by v
Dv = m
Rearrange the above equation:
m = Dv
Putting D = 0.680 gm/cm³ and v = 14000 cm³ in the above equation:
m = (0.680 gm/cm³) × (14000 cm³)
m = 9520 gm
Given that, D = m/v
Multiply both sides by v
Dv = m
Divide both sides by D
v = m/D
Putting D = 0.950 gm/cm³ and m = 50.0 gm in the above equation:
v = (50.0 gm) / (0.950 gm/cm³)
m = 52.63 cm³
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Calculate the side lengths a and b to two decimal places
Answers
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
What is the circumference of the circle?
f) 52 cm2
e) 2610 cm2
cm
g) 6767 cm
h) 1697 cm?
Answers
Step-by-step explanation:
What is the circumference of the circle?
f) 52 cm2
e) 2610 cm2
Mr. Garza has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced.
A. 2in
B. 1 1/2in
C. 1 1/3in
D. 1in
Answers
Answer:
The answer is C
Step-by-step explanation:
Divide 4 by 3
4 ÷ 3 = 1.33
1 1/3 as a fraction
Answer:
cCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation:
25
x 120°
y = [? ]º???
Answers
Answer:
Step-by-step explanation:
Answer: the sum of one interior angle and one exterior angle is 180. x+120=180. x=180-120. x=60°. sum of angles in a triangle is 180.
8 ft
10 ft
Find the perimeter of this figure to
the nearest hundredth.
Use 3.14 to approximate .
P = [?] ft
Notice that only half of the circle is included in the figure!
Answers
The perimeter of the figure is 4(π + 9)ft.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
Given is a 2 - D figure as shown in the figure attached.
We can write the perimeter as -
P = P{rectangle} + P{semicircle}
P = 2(10 + 8) + (4π)
P = (4π) + (36)
P = 4(π + 9)
Therefore, the perimeter of the figure is 4(π + 9)ft.
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![8 ft10 ftFind the perimeter of this figure tothe nearest hundredth.Use 3.14 to approximate .P = [?] ftNotice](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/dFiczUV1VJQw8I5GGyu3EvpqmHvY45W3.png)
what are the assymptotes of this equation
Answers
What is the simplified value of this expression pls help
Answers
Answer:
7
Step-by-step explanation:
Remove parentheses.
\(\frac{-8+4(4.5)}{6.25-8.25} \\\)
Add −8 and 4.5.
\(\frac{4(-3.5)}{6.25 - 8.25} \\\\\)
Subtract 8.25 from 6.25.
\(\frac{4*-3.5}{-2}\)
Multiply 4 by −3.5.
\(\frac{-14}{-2}\)
Divide −14 by −2.
= 7
Penelope is taking a multiple choice test with a total of 40 points available. Each
question is worth exactly 5 points. What would be Penelope's test score (out of 40) if
she got 3 questions wrong? What would be her score if she got x questions wrong?
Answers
Answer:
1) 62.5%
2) 8-x/8=y/100 (where y is the percent)
Step-by-step explanation:
1) so there’s 8 questions in total cause each question si 5 points and 40 points is the max so 40/5=8
write a proportion where 8-3/8=y/100 (it’s 8-3 because it’s total question minus the wrong questions and you’ll get the remaining points and put it over a hundred since the max score you can get is a hundred.
so 5/8= y/100
cross multiply
500=8y
Divide 8 on both sides
you’ll get 62.5
2) Jist use the equation 8-x/8=y/100
( where x is the wrong amount of questions and y is the total percent)
Answer:
1st Question the answer is 25/40
2nd Question the answer is 40-(x*5)=answer
Step-by-step explanation:
1st Answer: Multiply 3 questions by 5 points and subtract that answer from 40 and that gives us the final answer -25-
Find the slope on the graph
Answers
Answer:
3/1
Step-by-step explanation:
you need to count the hight of the line from the (0,2) which will be 3 and then how much of the distance of x is. I used rise over run.
factor and solve x^2-4x=5
Answers
Answer:
Step-by-step explanation:
bring 5 to the left hand side and the equation will becomes x^2-4x-5=0
then lets see for common factors and -5 and +1 are suitable since when you multiply them you get -5 and if you add them it becomes -4 so
x^2+x-5x-5=0
x(x+1)-5(x+1)=0
take (x+1) common
(x-5)(x+1)=0
x-5=0
x=0+5
x=+5
x+1=0
x=0-1
x=-1
so here are the two solutions
Find the distance between each pair of points. (-1,3), (2,-2)
Answers
Answer:
√ 34
Step-by-step explanation:
Copy and complete the statement.
1. If HG = HK, then ____ = ____
2. If KHJ = KJH, then ____ = ____
Please add explanation as to why
Answers
Answer:
If HG = HK, then HG = HK. This statement is true by definition, as both sides of the equation are equal to the same value.
If KHJ = KJH, then KHJ = KJH. This statement is also true by definition, as both sides of the equation are equal to the same combination of letters.
SOME ONE HELP PLEASE
Answers
Answer:
1 23/32
Step-by-step explanation:
hi, dont sweat it! i gotchu.
1. What percent of 29 is 3?
Answers
Answer:
0.34%
Step-by-step explanation:
1. Start by representing the percentage with the variable, x %. Using x%, create an algebraic expression.
29% X x = 3
2. Solve for x by dividing both sides by 29.
29x divided by 29 =3 divided by 29.
x=0.1034
3.Convert 0.1034 into a percentage by multiplying the decimal by 100%
X =0.1034 x 100%
x=10.34%
Marcie cooked dinner for herself. The original recipe has a serving size of 4 and requires four and four fifths pounds of chicken. How many pounds of chicken will be needed for a single serving? FAST PLS !!!!
Answers
Answer:
1.2 pounds of chicken per serving.
Step-by-step explanation:
4 and 4/5 of pounds of chicken for serving of 4.
We can also write this as 4.8 pounds of chicken.
To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.
\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)
If this answer helped you, give this answer a heart and rate it.
Thanks!
Write a function for the sinusoid (the curve).
У
(2,5)
14
(1, -1)
3
1
Choose...
3 cos x + 2
The function is f(x) = 3 sin x
3 sin x
3 cos x
2 X
Answers
The equation of the sinusoid function is:
3 Sin πx + 2.
Let's analyze the given options to find the correct equation:
a. 3 Cos πx + 2:
This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.
b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.
c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:
To determine if the period is correct, we need to calculate the x-values when the function repeats itself.
In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.
sin(πx) = 0 when πx = 0, π, 2π, 3π, ...
Solving for x, we have:
πx = 0 ⟹ x = 0
πx = π ⟹ x = 1
πx = 2π ⟹ x = 2
πx = 3π ⟹ x = 3
From this, we can see that the function repeats itself every integer value of x, which matches the given information.
Therefore, option (c) is the correct equation: 3 Sin πx + 2.
Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.
Hence, the equation of the sinusoid function is:
3 Sin πx + 2.
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Which form of a quadratic would be the easiest to identify the x-intercepts?
A. Vertex Form
B. Standard Form
C. Intercept Form
Answers
Answer:
A
Step-by-step explanation:
luck is preparing food for his dog he mixes 3 cup of dry food and some cup of wet food he put all the food into 4 bowls he puts 5/4 cups into each bowl
Answers
To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.
Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.
5/10 as a unit fraction
Answers
Answer:
its just 5/10, or 1/2 is it not
Step-by-step explanation:
What is the answer, plz help. 5(x-7) + 42 = 5x+7
Answers
Answer:
x is all real numbers
Step-by-step explanation:
5(x-7) + 42 = 5x+7
Distribute
5x - 35 +42 = 5x+7
Combine like terms
5x +7 = 5x+7
Subtract 5x from each side
7=7
This is always true, so x can be any number
Answer:
Hey there!
5(x-7)+42=5x+7
5x-35+42=5x+7
7=7
Infinite solutions.
Hope this helps :)
What is the value of x if x=(7 + 9) ÷ (4 - 2)^2
Answers
Answer:
x = 4
should be the answer
help me find the slope please
Answers
Answer:
3/4
Step-by-step explanation:
Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)
Slope is rise/run
Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.
Feel free to tell me if I did anything wrong! :)
Also, if you're still confused, I could explain it another way.
An estimator is said to be consistent if: the difference between the estimator and the population parameter grows smaller as the sample size grows larger. it is an unbiased estimator. the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger.
Answers
Answer:
the difference between the estimator and the population parameter grows smaller as the sample size grows larger.
Step-by-step explanation:
In Statistics, an estimator is a statistical value or quantity, which is used to estimate a parameter.
Generally, parameters are the determinants of the probability distribution. Thus, to determine a normal distribution we would use the parameters, mean and variance of the population.
An estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, for an estimator to be consistent it must have both a small bias and small variance.
Also, note that the bias of an estimator (b) that estimates a parameter (p) is given by; \(E(b) - p[\tex]
Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).
A sample variance is an unbiased estimator of the population variance while the sample mean is an unbiased estimator of the population mean.
Generally, a consistent estimator in statistics is one which gives values that are close enough to the exact value in a population.
A line passing through the point (-8,-3) and has a slope of 5/4
Answers
Answer:
y=5/4x+7
Step-by-step explanation:
Honestly, I just guessed and checked, but here is a picture of evidence.
