Answers
The secant of the angle is 765.
We are given that;
The point (7,−4) on the terminal side of the angle.
Now,
To find the secant of an angle, you need to know the length of the hypotenuse and the length of the side adjacent to the angle in a right triangle. The formula for the secant of an angle is:
secθ=hypotenuse/adjacent
where θ is the angle in standard position1.
To find the secant of the angle, you need to find the length of the hypotenuse and the length of the side adjacent to the angle. You can do this by using the Pythagorean theorem and the properties of a right triangle.
The hypotenuse is the distance from the origin to the point (7,−4). You can use the Pythagorean theorem to find it:
h^2=7^2+(−4)^2
h^2=49+16
h^2=65
The adjacent side is the horizontal distance from the origin to the point (7,−4). You can use the x-coordinate of the point to find it:
a=7
Now, you can substitute these values into the formula for secant and simplify:
secθ=hypotenuse/adjacent
secθ=765
This is already in simplest radical form, so you don’t need to do anything else.
Therefore, by trigonometric identities the answer will be 765.
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Related Questions
Which table has a constant of proportionality between y and wof
Choose 1 answer
Answers
a _______________________________
Answer:
a
Step-by-step explanation:
2 x 4 is 8
2.5 x 4 is 10
3 x 4 is 12
Factoring is the process of writing a polynomial as a:.
Answers
Answer:
Step-by-step explanation:
Factors are 2 numbers that multiply to get the number.
EX.
2 and 4 are factors of 8
or
5 and 6 are factors of 30
So if you are given a polynomial, and they want you to factor it. They want you to find other polynomials or numbers that multiply to your original polynomial. Typically in the form of ( ) ( )
EX.
x² + 6x + 8 this is a polynomial
(x+4)(x+2) (x+4) and (x+2) are factors of that polynomial
Someone help pleaseeee
Answers
Answer:
Part A = D
Part B = 5 and 50
Step-by-step explanation:
Part A:
area = 5*4x = 20x
so, \(100 \leq 20x \leq 1000\)
Part B:
to leave it only by x, you divide both sides by 20
100/20 = 5, 1000/20 = 50
which \(5\leq x\leq 50\)
Jason has 208 baseball cards. This is 52 less than the number of cards that Robert has.
Which equation below best represents this scenario?
A) R+ 208= 52
B) R- 52 = 208
C) 52 - R = 208
D) 208 - 52 = R
Answers
Answer:
B) R - 52 = 208
Step-by-step explanation:
Robert has 52 more cards than Jason, who has 208, so Robert has 208 + 52 cards. This can be turned into:
R = 208 + 52
then subtract 52 from both sides:
R - 52 = 208 + 52 - 52
R - 52 = 208
and that's the answer
a square has a perimeter of 40cm what is the length of each side
Answers
Answer:
length of each side : 10 cm
Step-by-step explanation:
all sides of squares are equal
thus, 4 sides = 40 cm
1 side = 40/10 cm
1 side = 10 cm
Answer:
10 cmStep-by-step explanation:
the formula of the perimeter of a square = 4 × (length of any one side)
we use the inverse formula
40 : 4 = 10 cm
Write a linear equation that is parallel to the equation below and passes through the point (7, 4). y = 2x − 7
Answers
Answer:
y=2x-10
Step-by-step explanation:
Original Equation: y=2x-7
Plug in (7,4) and keep the same slope bec line has to be parallel
b=-10
plug in b
y=2x-10
Complete the recursive formula of the arithmetic sequence 9, -1, -11, -21,. 9,−1,−11,−21,. 9, comma, minus, 1, comma, minus, 11, comma, minus, 21, comma, point, point, point. D(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals
d(n)=d(n-1)+d(n)=d(n−1)+d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, plus
Answers
The recursive formula for the arithmetic sequence is d(n) = d(n-1) - 10, where d(1) = 9.
The recursive formula is d(n) = d(n-1) - 10, where d(1) = 9.
We notice that each term in the sequence is obtained by subtracting 10 from the previous term. For example,
1 = 9 - 10
(-11) = (-1) - 10
(-21) = (-11) - 10
Therefore, the recursive formula for the sequence is:
d(n) = d(n-1) - 10
And since d(1) = 9, we have:
d(1) = 9
d(2) = d(1) - 10 = -1
d(3) = d(2) - 10 = -11
d(4) = d(3) - 10 = -21
and so on.
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19. What is the 6th term in the sequence below? 1, 3, 7, 15, 31, _, 127
Answers
The Richards family bought some new camping gear that totaled $318.95 before tax. Their state tax is
4.5%. How much did the camping gear cost after tax?
Answers
You would do on 0.045 times 318.95
Then you would get 14.35 then add 318.95 you get 333.30
when 9 times a number is increased by 30, the answer is the same as when 140 is decreased by the number. Find this number
Answers
Answer: 11
Step-by-step explanation:
Let the number be x.
\(9x+30=140-x\\\\10x=110\\\\x=11\)
juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. if she was charged a total of $98 for the rental and mileage, for how many miles of driving w
Answers
Juliet was charged $18 for driving 120 miles.
Given,
The rent of car per day = $80
The charge for per miles driven = $0.15
Juliet was charged a total of $98 for the rental and mileage.
We have to find the total miles of driving;
Here,
Charge for miles driven = Total charge - Rent of car for a day
Charge for miles driven = 98 - 80
Charge for miles driven = $18
Now,
Total miles driven = Charge for miles driven / Charge for one mile
Total miles driven = 18/0.15
Total miles driven = 120
That is,
Juliet was charged $18 for 120 miles of driving.
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Alan is putting 11 books in a row on his bookshelf. He will put one of the books, The Iliad, in the first spot. He will put another of the books, The Odyssey, in the last spot. In how many ways can he put the books on the shelf
Answers
Alan can put the 11 books on the shelf, with The Iliad in the first spot and The Odyssey in the last spot, in 9! (362,880) ways
To determine the number of ways Alan can put the 11 books on his bookshelf with The Iliad in the first spot and The Odyssey in the last spot, we can follow these steps:
1. There are 11 spots on the bookshelf, but since The Iliad is in the first spot and The Odyssey is in the last spot, we are left with 9 spots for the remaining 9 books.
2. To arrange the 9 books, we can use the concept of permutations, which refers to the number of ways the books can be ordered.
3. The number of permutations for 9 books is calculated as 9! (9 factorial), which means 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.
Therefore, Alan can put the 11 books on the shelf, with The Iliad in the first spot and The Odyssey in the last spot, in 9! (362,880) ways.
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Which of these graphs represents a function?
Answers
Answer:
X and Y represents the function
Answer:
x and y are function because it can transverse one line by parallel line
Which segment is opposite to angle D? DС FC or DF
Answers
Answer:
The segment opposite to angle D is CF.
Step-by-step explanation:
To find what angle is opposite to a side. All you just have to do is see which segment doesn't touch that angle. We see that angle D does not touch CF, so angle D must be opposite to CF.
. If the rank of a 7 x 6 matrix A is 4, what is the dimension of the solution space of Az = 0. A. 1 B. 2 C. 3 D. 4 E. none of the above. 8.
Answers
The dimension of the solution space is 2. Therefore, the answer is (B) 2.
How to find the dimension of the solution space?The rank of a matrix A is defined as the maximum number of linearly independent rows or columns in A.
Therefore, if the rank of a 7 x 6 matrix A is 4, it means that there are 4 linearly independent rows or columns in A, and the other 3 rows or columns can be expressed as linear combinations of the 4 independent ones.
The equation Az = 0 represents a homogeneous system of linear equations, where z is a column vector of unknowns.
The dimension of the solution space of this system is equal to the number of unknowns minus the rank of the coefficient matrix A.
In this case, A has 6 columns and rank 4, so the number of unknowns is 6 and the dimension of the solution space is 6 - 4 = 2. Therefore, the answer is (B) 2.
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how many different license plates can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits?
Answers
There are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.
There are two different types of license plates that can be made: one with three letters followed by three digits and one with four letters followed by two digits. To find the total number of different license plates that can be made, we need to calculate the number of possibilities for each type of license plate and then add them together.
For the first type of license plate (three letters followed by three digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 10 × 10 × 10 = 17,576,000
For the second type of license plate (four letters followed by two digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 26 × 10 × 10 = 45,697,600
Adding these two numbers together gives us the total number of different license plates that can be made:
17,576,000 + 45,697,600 = 63,273,600
Therefore, there are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.
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Help, please! I'm rush rn and I want to make sure that my answers are correct so please answer thisss I hope there is an user that understands my situation rn
4. Translate the mathematical sentence showing the perimeter of the squash field into English sentence.
5. Write a mathematical sentence that shows the area (A) of the beans field.
6. Mr. Guzman would like his bean plants to grow to a height of (x + 3). Write the mathematical phrase in solving for the volume of the bean plants if they reach a height of (x + 3).
Answers
\(\huge \bf༆ Answer ༄\)
Question 4 : Perimeter of squash field ~
2 [ (x + 1) + 4y ]English sentence :
Length of the field is 4 times y and Width of the field is (x + 1), and hence it's perimeter is 2 times the sum of Length and Width.
Question 5 : Area of Beans field ~ [ Length × Width ]
(xy + 5) × (xy + 1)or, after further simplification :
x²y² + 6xy + 5Question 6 : Volume of the cuboid is [ L × W × H ]
So, The volume will be Length (xy + 1) times Width (xy + 5) times height (x + 3)
that is ~
(xy + 1) × (xy + 5) × (x + 3) (x²y² + 6xy + 5) (x + 3)x³y² + 6x²y + 5x + 3x²y² + 18xy + 15The solution to all the questions about rectangles are;
4) Perimeter of the Squash field is 2 times the sum of it's Length and Width.
5) A = x²y² + 6xy + 5
6) V = x³y² + 6x²y + 5x + 3x²y² + 18xy + 15
Area and Perimeter of Rectangles4) We can see the squash field is rectangular and the dimensions are;
Length; L = x + 1
Width; w = 4y
Formula for perimeter of a rectangle is;
P = 2(L + w)
P = 2((x + 1) + 4y)
In English sentence, we can say that;
Perimeter of the Squash field is 2 times the sum of it's Length and Width.
5) The beans field is rectangular and its' dimensions are;
Length; L = xy + 5
Width; w = xy + 1
Area of rectangular Beans field;
A = Length × Width
A = (xy + 5) * (xy + 1)
A = x²y² + 6xy + 5
6) Formula for volume of the cube formed by the height will be;
V = L * w * h
since h = (x + 3)
Thus, volume is;
V = (xy + 5) * (xy + 1) * (x + 3)
V = x³y² + 6x²y + 5x + 3x²y² + 18xy + 15
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Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus startfraction 1 over 8 endfraction right-parenthesis minus startfraction 3 over 5 endfraction x equals startfraction 55 over 4 endfraction x = 2 left-parenthesis x minus startfraction 1 over 8 endfraction right-parenthesis minus startfraction 3 over 5 endfraction x equals startfraction 55 over 4 endfraction . in which step did he use the addition property of equality?
Answers
The step which Rahul used the addition property of equality is the Step 3.
What is the addition property of equality?The addition property of equality explains that if a number is added to both sides of an equation, the equation is still valid (the equation is still the same).
For this case, the solution is given in the attached image. The steps of the solution are:
Step 1:
\(2x - \frac{1}{4} - \frac{3}{5}x = \frac{55}{4}\)
Step 2: Simplifying the coefficients of x
\(2x - \frac{3}{5}x - \frac{1}{4} = \frac{55}{4}\)
\(\frac{10x-3}{5} - \frac{1}{4} = \frac{55}{4}\)
\(\frac{7x}{5} - \frac{1}{4} = \frac{55}{4}\)
Step 3: Adding 1/4 to both sides
\(\frac{7x}{5} - \frac{1}{4} + \frac{1}{4} = \frac{55}{4} + \frac{1}{4}\)
\(\frac{7x}{5} = \frac{55+1}{4}\)
\(\frac{7x}{5} = \frac{56}{4}\)
Step 4: Multiplying both sides by 5/7
\(\frac{7x}{5} * \frac{5}{7} = \frac{56}{4} * \frac{5}{7}\)
\(\frac{35x}{35} = \frac{280}{28}\)
x = 10
From the steps above, the addition property of equality was applied in the Step 3.
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Answer:the answer is ,C step 3
Step-by-step explanation:
A sporting goods store charges $22.00 for a football before tax. The store holds a sale that marks all prices down by 20% before tax. If the sales tax is 5%, what is the cost of the discounted football after tax?
$
Answers
If the original price of the football is $22.00, and the store is offering a 20% discount, then the new price of the football before tax would be:
New price before tax = Original price - Discount
= $22.00 - (20% x $22.00)
= $17.60
Now, we need to calculate the price of the football after adding the sales tax of 5%. To do this, we can calculate the amount of sales tax first, and then add it to the new price before tax:
Sales tax = 5% x $17.60
= $0.88
Price after tax = New price before tax + Sales tax
= $17.60 + $0.88
= $18.48
Therefore, the cost of the discounted football after tax is $18.48.
Open Ended Questions
Show all work to receive full credit
16. Use the model for vertical motion given by the equation h = -16t^2 + vt +s, where h is the
height in feet, t is the time in seconds, v is the initial upward velocity, and s is the initial height
in feet.
A. Rick tossed a baseball in the air from a height of 15 feet with an initial upward velocity of 8
feet per second. How long was the ball in the air before it hit the ground?
B. How high was the ball after 1 second?
Answers
Answer:
Step-by-step explanation:
A die is rolled. Find the probability of the given event. Write your answers as whole numbers or reduced fractions.
(a) The number showing is a 4
P(4) = (b) The number showing is an even number
P(even) =
(c) The number showing is greater than 3
P(greater than 3) =
Answers
The probability for given conditions are a) p(4)=0.166, b) p(even)=0.5 and c) p(greater than 3)=0.5
A die is rolled, then the sample space for outcomes is {1,2,3,4,5,6}
Total number of outcomes =6
Probability of showing number 4. number of favourable outcomes is 1 because there is only one 4 in the sample space of outcomes , \(P(4)=\frac{number\ of\ favourable\ outcomes}{total\ number\ of\ outcomes}\\\\P(4)=\frac{1}{6}=0.166\)Probability of showing an even number, even numbers in sample space are {2,4,6} number of favourable outcomes =3 \(P(even)=\frac{3}{6}=\frac{1}{2}=0.5\)Probability of showing a number greater than 3, numbers greater then three is sample space are {4,5,6} number of favourable outcomes =3 \(P(greater\ than\ 3)=\frac{3}{6}=\frac{1}{2}=0.5\)Thus, the probability for given conditions are a)p(4)=0.166, b)p(even)=0.5 and c)p(greater than 3)=0.5
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What is 54 °F in °C?
Answers
54 °F Temperature is approximately 12.2222 °C.
To convert degrees Fahrenheit (°F) to degrees Celsius (°C), you can use the formula (°F - 32) x 5/9 = °C. To convert 54 °F to °C, you would first subtract 32 from 54, which gives you 22. Then, you would multiply 22 by 5/9, which gives you 12.2222 °C.
It is important to note that the Celsius and Fahrenheit scales are both used to measure temperature, but the Celsius scale is used in most of the world, while the Fahrenheit scale is primarily used in the United States. When travelling or working with people from different parts of the world, it is important to be able to convert between these units of measurement to ensure accurate communication.
The Celsius scale is based on the metric system and its zero point is the freezing point of water, whereas in Fahrenheit scale the zero point is based on the freezing point of a brine solution and the scale was created by a German-born physicist and inventor, Daniel Gabriel Fahrenheit.
It is also important to note that the size of the degree is different in Fahrenheit and Celsius, so when converting you should always use the formula provided above.
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Chicken eggs can be categorized as large if they weigh at least 2 ounces. Clare weighs 48 large eggs and finds that they have a mean weight of 2.1 ounces and a mean absolute deviation of 0.08 ounces. Interpret 0.08 ounces in this situation.
Answers
Answer:
0.08 ounces is interpreted as the Mean Absolute Deviation and this means that
the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces.
Step-by-step explanation:
Mean Absolute Deviation of a data set is defined as the distance or the deviation between a given data set and the calculated mean.
Mean Absolute Deviation tells us about how much a data set varies from it's mean.
From the above question, we are told that after weighing 48 eggs we have a mean of 2.1 ounces and mean deviation of 0.08 ounces
Therefore this means that the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces
PLEASWEE HOW DO YOU DO THIS!!!
Answers
Answer:
2x+2x+2x= 180
6x=180
x= 30
Step-by-step explanation:
Answer: x=30
Step-by-step explanation:
someone help please!
Answers
Answer:
9/10 I do this a lot
step-by-step explanation:
1/2 changes to 5/10 and 2/5 becomes 4/10 then you add and there is your answer
Answer:
You would have walked a total of 7/10 miles or .7 miles.
Step-by-step explanation:
First you have to make the fractions have a common denominator. Let's do 10.
1/5 =2/10 you multiply the top and bottom by 2 to get a bottom of 10
1/2=5/10 you multiply the top and bottom by 5 to get a bottom of 10
Now we can add these,
2/10 + 5/10= 7/10 You do not add the denominators, only the numerators when the denominators are equal.
You would have walked a total of 7/10 miles or .7 miles.
give me branliest pls
1/4k = 40 i need help
Answers
Donna deposits $700 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 2 years
Answers
Donna deposits $700 into an account that pays simple interest at a rate of 2% per year. Donna will be paid $28 in interest in the first 2 years.
To calculate the interest, we use the formula:
Interest = Principal × Rate × Time.
In this case, the principal (initial deposit) is $700, the rate is 2% (or 0.02), and the time is 2 years.
Plugging these values into the formula, we get:
Interest = $700 × 0.02 × 2 = $28.
Therefore, Donna will earn $28 in interest in the first 2 years.
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rewrite x^{2}+16x+63 = 0
Answers
Is the answer.
Answer:
Step-by-step explanation:
x^2+16x+63=0 is standard form to solve
If you factor it the answer is
(x+7)(x+9) or x = -7, -9
HEEELLPP is just one question!
Answers
Answer:
65°
Step-by-step explanation:
The missing angle is x°
tan x° = \(\frac{opposite }{adjacent }\)
tan x°= \(\frac{850}{400}\)
tan x° = 2.125
using a calculator:
tan^(-1)(2.125) =64.79 ≈65°Who think they can figure out this equation for me
Answers
Answer:
b < -1
Step-by-step explanation:
Step 1: Write inequality
-3(6b - 1) > 18 - 3b
Step 2: Solve for b
Distribute -3: -18b + 3 > 18 - 3b
Add 18b to both sides: 3 > 18 + 15b
Subtract 18 on both sides: -15 > 15b
Divide both sides by 15: -1 > b
Rewrite: b < -1