1. Find the value of sec Θ if tan Θ = -2 90° ≤ Θ ≤ 180°
a. -√5
b. √5
c. -5
d. 5
2. Find the value of cos Θ if sec Θ = 5/3 270 ≤ Θ ≤ 360°
cos =
9514 1404 393
Answer:
1. (a) -√5
2. 3/5
Step-by-step explanation:
1. sec²(θ) = tan²(θ) +1
sec²(θ) = (-2)² + 1 = 5
sec(θ) = ±√5
In the second quadrant, secant is negative, so ...
sec(θ) = -√5
__
2. cos(θ) = 1/sec(θ)
cos(θ) = 1/(5/3)
cos(θ) = 3/5
If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two numbers?
- 12
- 13
- 15
- 18
- 20
Answer:
18
Step-by-step explanation:
xy + 4 = 40
xy = 40 - 4
xy = 36
What two numbers can b multiplied to give 36? Then add them.
9 + 4 = 13
18 + 2 = 20
6 + 6 = 12
12 + 3 = 15
The odd option is 18
The 18 will not be the sum of the two numbers for the given option so option (D) will be correct.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that two numbers are x and y
Given,
Multiply two integers together and then add 4, the result is 40.
So,
xy + 4 = 40
xy = 36
The possible two numbers whose multiplication gives 36 are
(6 ,6) , (9,4),(12,3) and (18,2)
So the sum would be 12, 13, 15 and 20
The Remaining is 18.
Hence "The 18 will not be the sum of the two numbers".
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Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).
Answer:
[tex]\displaystyle -11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
f(x) = -x² - 7x - 8
(1, 3) → a = 1, b = 3
Step 2: Find Average Rate
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function: [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents: [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply: [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract: [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative: [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add: [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide: [tex]\displaystyle -11[/tex]Answer:
Step-by-step explanation:
-1x^2-7x8
-1x^2-7x+8
-1x+8-7x
+1x +1x
----- ------
X -7x
8 -7x
---- -----
+7 +7
---- -----
15 1x/x
15 1x
---- -----
1 X
X=15
Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.
What you do to one side you do to the other.
A store donated cases of crayons to a day care center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
Answer:
They recieved 192 crayons?
Answer:
The Answer Is 192
Step-by-step explanation:
Assume that the probability of error-free transmission of a message over a communication channel is p. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that: a) No retransmission is required. b) Exactly two retransmissions are required
This question is incomplete, the complete question is;
Assume that the probability of error-free transmission of a message over a communication channel is p=0.9. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that:
a) No retransmission is required.
b) Exactly two retransmissions are required
Answer:
a) probability that No retransmission is required is 0.90
b) the probability that exactly two retransmissions are required is 0.009
Step-by-step explanation:
Given the data in the question;
the probability of error-free transmission of a message over a communication channel is p = 0.9
a) probability that No retransmission is required will be;
Let x represent the error-free transmission of a message
Now, the P( error-free_transmission_of_a_message) = 0.90
so;
P( X=0 ) = 0.90( 1 - 0.90 )⁰
P( X=0 ) = 0.90( 0.1 )⁰
P( X=0 ) = 0.90( 1 )
P( X=0 ) = 0.90
Therefore, probability that No retransmission is required is 0.90
b) Probability that exactly two retransmissions are required will be;
P( X=2 ) = 0.90( 1 - 0.90 )²
P( X=2 ) = 0.90( 0.1 )²
P( X=2 ) = 0.90( 0.01)
P( X=2 ) = 0.009
Therefore, the probability that exactly two retransmissions are required is 0.009
Ethan says that if the diameter of a bicycle wheel is 3.5 feet then its
radius must be 1.75 feet. Is Ethan correct?
Answer: Yes he is correct
Explanation:
The radius is half the diameter
radius = diameter/2 = 3.5/2 = 1.75
Answer:
yes hes right.
Step-by-step explanation:
d = 2 x 1.75
d = 3.5
c = 2 x pi x 1.75
c = 3.5
ur answer is 3.5 ethans right
The legs of a right triangle are 3 and 6. Find the length of the hypotenuse
Answer:
6.71 unit
Step-by-step explanation:
Given that:
Legs of a right angle triangle are 3 and 6
From Pythagoras rule;
Hypotenus = sqrt(Adjacent² + opposite²)
Both legs are adjacent and opposite
Hence,
Hypotenus = sqrt(3² + 6²)
Hypotenus = sqrt(9 + 36)
Hypotenus = sqrt(45)
Hypotenus = 6.708
Hypotenus = 6.71
I need help quick!!!!
Answer: I cant see the picture
Step-by-step explanation:
Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
x s x s x s
Coached 500 92 529 97 29 59
Uncoached 506 101 527 101 21 52
Let's first ask if students who are coached significantly increased their scores.
You could use the information given to carry out either a two-sample t test comparing Try 1 with Try 2 for coached students or a matched pairs t test using Gain. Which is the correct test? Why?
A. Two-sample test, because we are given data for the two samples which is more accurate than the data only on the gain.
B. Matched pairs test, because we are not interested in the difference in mean between the two groups, but the gain that each student has achieved.
C. Two-sample test, because matched pairs test can be performed only if we have information on every individual.
D. Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.
Answer:
Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.
Step-by-step explanation:
Due to the correlation which exists between the two Given samples, we need to examine the difference between the pair of each point in the dataset ; coach and uncoached point. Hence, in other to analyze the underlying pattern between each data point in the two categories, the matched pair test will be more appropriate due to the underlying relationship between the reported groups.
Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х
Answer:
hope it helps it is donr by using pythogorous theorem
The third side of the right triangle is 10.72 unit.
What is Pythagoras theorem?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Given, the side of right triangle is;
Let H be hypotenuse = 14
And P be perpendicular = 9
Then to find third side base be B,
we use the Pythagoras theorem;
(H)² = (P)²+(B)²
Rearranging,
(B)² = (H)² - (P)²
(B)² = (14)² - (9)²
(B)² = 196 - 81
(B)² = 115
B = 10.72 unit.
Therefore, the third side is 10.72 unit.
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Lily took a loan of $1200 with simple interest for as many years as the rate of
interest. If she paid $432 as interest at the end of the loan period, what was the
rate of interest? *
Answer:
sax
SI = $432
P = $1200
rate = x
time = x
= 432 = t×p×r / 100
= 432 = x × 1200 × x / 100
= 432 = x × 12 × x
= 432 = 2x × 12
= 432/12 = 2x
= 6 = 2x
= 6 ÷ 2 = x
= 3 = x
The rate of interst is 3%
Step-by-step explanation:
A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
Enter your answer in the box.
Answer:
900
Step-by-step explanation:
The area of the final triangle would be 900 cm².
What is scale factor?Scale factor is used to compare the final and initial dimensions of the figure. Mathematically, we can write scale factor -
{K} = {final dimensions/initial dimensions}
Given is that a triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
Assume the initial dimensions of the triangle be {x} and {y} respectively. So, we can write the initial area as -
{1/2}{x}{y} = 36
{x}{y} = 72
After the scaling, we can write the final area as -
A = {1/2}{5x}{5y}
A = {25/2}{x}{y}
A = 12.5 x 72
A = 900 cm²
Therefore, the area of the final triangle would be 900 cm².
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Matilda recently took a statistics quiz in her math class. in one question, 45 of 900 visitors at a local craft show were surveyed about the cost of admission to the show. Matilda incorrectly stated that the sample in this situation was represented by 900 visitors at the craft show.
a. what is Matilda's error?
b. what is the actual sample?
Answer:
A. Her error was that she thought that they were surveying the whole town so 900 would be the sample.
B. The actual sample is 45.
Step-by-step explanation:
The actual sample is 45 because 45 people out of the 900 visitors (population) were surveyed.
HELP MEEEE PLEASEEEEEEEEEEEEEE
Answer:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
Answer:
a = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = a
Leg b = 3
Hypotenuse c = 5
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 3² = 5²[Subtraction Property of Equality] Isolate a term: a² = 5² - 3²Evaluate exponents: a² = 25 - 9Subtract: a² = 16[Equality Property] Isolate a: a = ±4Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.
∴ a = 4
7th grade math help 10 puts thanks in advance
Answer:
m<1= 61
m<2= 119
m<3= 61
m<4= 119
m<5= 119
m<6= 61
m<7= 119
hope this helped :)
Step-by-step explanation:
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
I NEED HELP LIKE ASAP PLS WILL GIVE 25 POINTS IF CORRECT PLS NEED ANSWER NOW(ONLY IF CORRECT THO)
Determine the probability of landing on blue. Write your answer as a fraction, decimal, and percent. Show your work! Be ready to discuss your answer. *
Answer: 3/12 3 blues and 12 colors in total i dont know how to explain sorry
Answer:
Hills, mountains and rivers are example of ------------------ features
pls help plsssssssssssssssssssssssssssssssssss
Answer:
i belive its 1
Step-by-step explanation:
Because its SUM so its adding and the sum is 22 and 20+2=22.
Will the sum of 56+ (-56) be Positive negative or zero
Answer:
zero
Step-by-step explanation:
56+(-56),thus
the negative overcomes the positive,
56-56
0
The frequency table shows the scores from rolling a dice 10 times.
Work out the mean
Answer: 16/5 or 3.2
Steps:
=> 1× 2 + 2× 2 + 3× 2 + 4× 1 + 5 ×2 + 6 ×1/ 2+2+2+1+2+1
=> 16/5 or 3.2 (answer)
A robot's height is 120 centimeters. How tall is the robot in millimeters? Record your answer and fill in the bubbles on your answer document, Be sure to use the correct place value.
12 of the students in the art class like to draw animals these 12 students make up 24% of the art class how many students are in the art class
Answer:
50 students in total or X=50
Step-by-step explanation: 12 is 24% of X
We can make this into a box-like figure
12 24
X 100 X is the missing number
We then multiply 12 by 100 which equals to 1,200.
We then divided the 1,200 by 24, this results in your X which equals to 50.
X=50 students
What is the leading coefficient of this polynomial?
f(x) = 3x2 -
175 + 7x10
Answer here
Answer:
7
Step-by-step explanation:
Because it is the coefficient that has the variable with the greatest exponent
The tallest mountain in the world is Mt. Everest. It is about
140% as tall as the tallest mountain in the United States. Mt. Mckinley.
Write 140% as a mixed number in simplest form.
Answer:
7/5
Step-by-step explanation:
140 by 100
cutting methord
cut the zeros, then divide by 2.
do kramagat dhanatmak purnanko ka yog 145 hai purnank gyat kijiye
Answer:
hssssskwkwkkkayak toa
ehekkekekekek
eemeeememe
Step-by-step explanation:eeekekekee dd ejndkekd3kd3kd3kd3kdb3
wkwdwugudhwkwkwkekekwkwka,akkKKkKSNBEVEVVRTTVKALALALAL
Answer:
72, 73
Step-by-step explanation:
माना दो क्रमागत धनात्मक पूर्णाक x और (x + 1) हैं |
इसलिए...
प्रश्नानुसार,
x + (x + 1) = 145
2x + 1 = 145
2x = 145 - 1
2x = 144
x = 144/2
x = 72
x + 1 = 72 + 1 = 73
What is the reading on the dial?
A) 40
B)45
C)50
D) 65
Answer:
c:50
Step-by-step explanation:
the dial between them is the number that’s equal to them..so if it is 20 to 40, the middle line would be 30this means that for this dial, it is pointing at 50.Therefore, it would be c:50.
do you think this answer is referring to 11 or 12 ?
Answer:
11
Step-by-step explanation:
write an expression for the number of floors the building can have for a given Building height. So what the variable in your expression represents?
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!
help fast plz I need it
Answer:
<JLK
Step-by-step explanation: