Find sec, cote, and cose, where is the angle shown in the figure. Give exact values, not decimal approximations. 8 A 3 sece cote cos = = = U 00 X c.
Answers
The value of cosecθ is the reciprocal of sinθ.cosecθ = 1/sinθcosecθ = 1/3√55.The required values aresecθ = 8/√55,cotθ = 3/√55,cosecθ = 1/3√55.
Given a triangle with sides 8, A, and 3.Using Pythagoras Theorem,A² + B² = C²Here, A
= ? and C
= 8 and B
= 3.A² + 3²
= 8²A² + 9
= 64A²
= 64 - 9A²
= 55
Thus, A
= √55
We are given to find sec, cot, and cosec, where is the angle shown in the figure, cos
= ?
= ?
= U 00 X c.8 A 3
The value of cos θ is given by the ratio of adjacent and hypotenuse sides of the right triangle.cosθ
= Adjacent side/Hypotenuse
= A/Cosθ
= √55/8
The value of secθ is the reciprocal of cosθ.secθ
= 1/cosθ
= 1/√55/8
= 8/√55
The value of cotθ is given by the ratio of adjacent and opposite sides of the right triangle.cotθ
= Adjacent/Opposite
= 3/√55.
The value of cosecθ is the reciprocal of sinθ.cosecθ
= 1/sinθcosecθ
= 1/3√55.
The required values aresecθ
= 8/√55,cotθ
= 3/√55,cosecθ
= 1/3√55.
To know more about reciprocal visit:
https://brainly.com/question/15590281
#SPJ11
Related Questions
What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.
Answers
Step-by-step explanation:
Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.
Sum of all interior angles of
N
-sided regular polygon equals to
(
N
−
2
)
⋅
180
o
.
Therefore, sum of interior angles of
12
-sided polygon is
(
12
−
2
)
⋅
180
o
=
1800
o
All 12 interior angles of dodecagon are equal, so each is
180-30
150
A supplementary exterior angle, therefore, equals to
180-150
=30
hopeit helps..
Answer
The measure of each exterior angle of a regular dodecagon is 30 degrees.
What is a regular dodecagon?A regular dodecagon is a 12-sided regular polygon with each side equal.
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that measure of each angle of n-sided regular polygon can be found using
= 360/n
Upon substituting n = 12 in above formula, we will get:
= 360 / 12
= 30
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
Learn more about dodecagon;
https://brainly.com/question/12296650
#SPJ2
Wrist bands are $1.25 each. Write a direct proportion equation to show the total cost (c) for any number of bands (b)
Answers
Answer:
\(c=1.25b\)
Step-by-step explanation:
If we know that each band costs $1.25, then we know that 2 bands are $2.50, 3 bands are $3.75 etc. The equation above simply states that each band is $1.25, so $1.25 multiplied by the number of bands gives us a total cost. This follows the formula \(y=kx\), for a direct proportion equation. Hope this helped :)
What is the main function of the female reproductive system ?
Answers
The main function of the female reproductive system is to allowing a person to have sexual intercourse, it also helps a person reproduce.
What is the female reproductive system?Both internal and exterior organs make up the female reproductive system. It is in charge of hormone production, menstruation, and sexual activity.
The physical parts that assist women or those who were assigned female at birth (AFAB) are the female reproductive system:
Have a sexual encounter.
Reproduce.
Menstruate.
The female reproductive system serves a number of purposes. It aids in sexual reproduction in addition to enabling sexual activity.
You make eggs using your ovaries. During ovulation, these eggs are subsequently moved to your fallopian tube where sperm fertilisation may take place. The fertilised egg is then transferred to your uterus, where the lining has expanded due to the regular hormones produced during your menstrual cycle (also called your reproductive cycle).
To learn more about female reproductive system visit:
brainly.com/question/1021794
#SPJ4
The reproductive system of a woman performs three primary tasks: releasing eggs that may be fertilized by sperm; (ii) producing female sex hormones including progesterone and oestrogen; and (iii) creating a favorable environment for the development of a fertilized egg during pregnancy.
What is the reproductive system of a woman?The female reproductive system is made up of both internal and external organs. Menstruation, sexual activity, and hormone production are all under its control.
Mention important roles played by women's reproductive part.The female reproductive system is one of the physical components that helps women or people who were given that gender at birth (AFAB):
Engage in sexual activity.
Reproduce.
Menstruate.
There are many uses for the female reproductive system. Along with permitting sexual activity, it also promotes sexual reproduction.
A woman's reproductive system primarily serves to: I release eggs that may be fertilized by sperm; (ii) produce female sex hormones like progesterone and oestrogen; (iii) create an environment for a fertilized egg to develop throughout pregnancy; and (iv) facilitate labor and childbirth.
To learn more about woman's reproductive system visit the link:
http://brainly.com/question/10234107
#SPJ4
Ex
consider the chart to the right. what is the greatest single expense category? to the nearest degree what is the central angle of that category sector.
Answers
Given the information on the circular graph, we have that Medicare & Medicaid has the 35%, then, in angles this is:
\(\frac{360\cdot35}{100}=126\~\)For the rest, we have the following:
\(\begin{gathered} \text{Net Interest: 22\%} \\ \Rightarrow\frac{360\cdot22}{100}=79.2\~ \\ \text{Defense: 15\%} \\ \Rightarrow\frac{360\cdot15}{100}=54\~ \\ \text{Social Security: 11\%} \\ \Rightarrow\frac{360\cdot11}{100}=39.6\~ \end{gathered}\)Let U = {5, 6, 7, 8, 9, 10, 11}, A = {5, 6, 7, 8}, B = {5, 6, 9,
10}, and C = {7, 9, 11}. List all the members of the given set.
(Enter your answers as a comma-separated list.) A ∪ (B ∩ C)
Answers
Based on the given information, the members of the set A ∪ (B ∩ C) are 5, 6, 7, 9, 10.
To find A ∪ (B ∩ C), we first need to calculate B ∩ C, which represents the intersection of sets B and C. The intersection of B and C contains the elements that are common to both B and C, which in this case are 7 and 9. So, B ∩ C = {7, 9}.
Next, we take the union of set A and the result of B ∩ C. The union of two sets combines all the unique elements from both sets without duplication. In this case, we combine the elements of set A (5, 6, 7, 8) with the elements of B ∩ C (7, 9). Since 7 is already present in set A, it is not duplicated. Therefore, the union of A and B ∩ C, denoted as A ∪ (B ∩ C), is {5, 6, 7, 9, 8}.
However, it is important to note that the order of the elements in a set does not matter, so the set {5, 6, 7, 9, 8} can also be written as {5, 6, 7, 9, 8} or in any other order.
Learn more about sets here:
brainly.com/question/30705181
#SPJ11
This recipe makes 7 portions of chocolate mousse.
Cali has 900 g chocolate, 50 eggs, 100 mL of lemon juice and 250 g of sugar.
Cali makes 28 portions of mousse by following this recipe.
How much of each ingredient will she have left?
Answers
Answer
hey..!She would have to use 2700g chocolate, 150g eggs, 300ml lemon juice and 750 g of sugar.. to make 21 potions
_____________________________
A ______ can have one of two values, true or false, and is often used in if statements.
Answers
A boolean expression can have one of the two values, true or false and is often used in if statements.
Given: To identify what is used in if statements that has either of the two values, true or false.
What are boolean expressions?
Boolean expressions are logical statements that can either be true or false.
Boolean expressions are used to compare different values which are of the same domain and to verify if the condition of comparison is true or false.
For example: 4 > 5 , is this statement true? With the help of boolean variables "true" and "false" we can say that 4 > 5 is "false"
NOTE: There are two boolean variables : TRUE and FALSE
The boolean value TRUE is equivalent to 1 in the integer domain.
The boolean value FALSE is equivalent to 0 in the integer domain.
The common operators that are often used in boolean expressions are OR, AND and NOT.
For example: 7 > 6 OR 0 < 90
Now 7 > 6 is TRUE, also 0 < 90 is TRUE
So, TRUE OR TRUE gives TRUE
Hence 7 > 6 OR 0 < 90 is TRUE, the condition is verified.
The "if" statement is a conditional statement in programming which when TRUE performs certain given information and if FALSE it either terminates or performs some other statements that may be defined in the else or the FALSE part.
"if" statements works on boolean values TRUE and FALSE.
It's like IF this is TRUE do this or ELSE do that.
The structure of if statement is:
if <condition>
//statements [executed if condition is TRUE]
else
//statements [executed if condition is FALSE]
Hence a boolean expression can have one of the two values, true or false and is often used in if statements
Know more about "boolean expressions" here: https://brainly.com/question/13265286
A Boolean expression can have one of the two values, true or false and is often used in if statements.
We are given a statement about an expression which can have the values as true or false and is mostly used in the if statements.
We need to identify the expression that they are talking about.
We get that, they are talking about the Boolean expression as it is the only expression that has the values as True or False and is often used in the if statements to know whether those statements are correct or not.
Therefore, a Boolean expression can have one of the two values, true or false and is often used in if statements.
Learn more about Boolean expression here:
brainly.com/question/13265286
#SPJ4
Their mother measures their shadows.Dixon's shadow is 9 feet long and Ariadne's shadow is feet long. If Dixon is 6 feet tall, how tall is Ariadne?
Answers
Dixon is 6 feet tall, Ariadne is 4 feet tall by proportion.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)We can use the proportion.
We already know that Dixon is 6 ft tall and that his shadow is 9 ft long.
Also we know that the shadow of his sister is 6 ft long.
6 : x = 9 : 6, or 6 / x = 9 / 6.
After that we will cross multiply : 9 * x = 6 * 6,
9 x = 36 ,
x = 36 /9,
x = 4.
Ariadne is 4 feet tall.
Learn more about proportion
brainly.com/question/2548537
#SPJ9
The complete question is -
Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 9 feet long and Ariadne's shadow is 6 feet long. If Dixon is 6 feet tall, how tall is Ariadne?
Round your answers to the nearest integer.) (a) 20 to 40 (b) 15 to 45 (c) % (d) 18 to 42 (e) 13 to 47 %
Answers
(a) When rounding 20 to the nearest integer in the range of 40, the result is 20.
(b) When rounding 15 to the nearest integer in the range of 45, the result is 20.
(c) The symbol "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.
(d) When rounding 18 to the nearest integer in the range of 42, the result is 20.
(e) When rounding 13 to the nearest integer in the range of 47, the result is 10.
(a) To round 20 to 40 to the nearest integer, we look at the digit in the tens place, which is 0. Since it is less than 5, we keep the tens digit as it is, resulting in 20.
(b) To round 15 to 45 to the nearest integer, again, we examine the digit in the tens place, which is 5. When the digit in the ones place is 5 or greater, we round up the tens digit. Thus, the rounded value is 20.
(c) The given statement "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.
(d) Rounding 18 to 42 to the nearest integer, we consider the tens digit, which is 2. Since it is less than 5, we keep the tens digit as it is, resulting in 20.
(e) Rounding 13 to 47 to the nearest integer, the tens digit is 4. Since the digit in the ones place is 5 or greater, we round up the tens digit. Hence, the rounded value is 50.
for such more question on integer
https://brainly.com/question/22008756
#SPJ8
Find the measures of the angles between the diagonals of the rectangle whose vertices are a = (1, 0), b = (0, 3), c = (3, 4), and d = (4, 1)
Answers
Answer:
The angle between the diagonal of the rectangle is \(\frac{\pi }{2}\).
Given:
The vertices of the rectangle are
a = (1, 0), b = (0, 3), c = (3, 4), and d = (4, 1)
To find:
The objective is to find the angle between the diagonals.
Step 1 of 3
Consider the diagram attached.
Step 2 of3
The position vector of diagonal AC is-
=(3-1)î+(4-0)j=2î+4j
And the position vector of diagonal BD is-
=(4-0)î+(1-3)j=4î-2j
Step 3 of 3
cosθ=\(\frac{AC.BD}{|AC|.|BD|}\)
cosθ=\(\frac{(2i-4j)(4i-2j)}{\sqrt{2^2+4^2} \sqrt{4^2+(-2)^2\\} }\)
=\(\frac{8-8}{\sqrt{20}.\sqrt{20} }\)
=0
θ=\(cos^{-1}\)(0)
θ=\(\frac{\pi }{2}\)
Therefore the angle between the diagonal of the rectangle is \(\frac{\pi }{2}\)
https://brainly.com/question/25705666
#SPJ4
The angle between the diagonals of a rectangle is π/2
A rectangle is a parallelogram, so opposite sides are equal. The diagonals of rectangle are equal and bisect each other at 90°. A diagonal of a rectangle is a line segment that connects two non-adjacent vertices.A diagonal divides the rectangle in 2 right triangles. where the sides are equal to the sides and the hypotenuse of the rectangle.
The vertices of the rectangle are
a = (1, 0), b = (0, 3), c = (3, 4), d = (4, 1)
The diagonal position vector AC
=(3-1)î+(4-0)j=2î+4j
And the diagonal position vector BD
=(4-0)î+(1-3)j=4î-2j
cos Ф = (AC.BD) / (|AC| . |BD|)
cos Ф = (8-8) / (root20 -roo20)
= 0
Ф = π/2
Therefore the angle between the diagonals of the rectangle is π/2
Learn more about diagonals here
https://brainly.com/question/26154016
#SPJ4
Given f (x) = x +1 and g(x) = x², what is (gºf)(x)?
A) (gºf)(x) = x² + x +1
B) (gºf)(2) = (x + 1)^2
C) (gºf)(x) = 2^2 (x + 1)
D) (g°f)(x) = x^2 +1
Answers
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
The simplest factorial design contains:
A. 1 independent variable with 2 conditions
B. 2 independent variables with 2 conditions
C. 2 independent variables with 3 conditions
D. 3 independent variables with 2 conditions
Answers
The simplest factorial design contains 2 independent variables with 2 conditions. The answer is option B.
A factorial design is a study in which two or more independent variables are manipulated to see their impact on the dependent variable. The simplest factorial design contains two independent variables, each with two conditions, for a total of four conditions. This is referred to as a 2x2 factorial design. The factors analyzed in such a design are the primary factor: Factor A, which has two levels, is known as the primary factor or the rows, and the secondary factor: Factor B, which has two levels, is referred to as the secondary factor or the columns.
Learn more about factorial design:
brainly.com/question/28146573
#SPJ11
BRAINLIEST EASY 6TH GRADE MATH HELP PLS (decimals)
Answers
1
0.95
0.9
0.71
0.7
0.5
0.07
Smallest (least)
Suppose the demand (Qd) is given by Qd = 400 - 2P and the supply (Qs) is given by Qs = -50+ 3P, where P is the price. In this market, the equilibrium price is is ____ and the equilibrium quantity _____90; 220 200; 550 16.67; 366 70; 260
Answers
In this market, the equilibrium price is 90 and the equilibrium quantity is 220.
To find the equilibrium price and quantity in the given market, we need to set the quantity demanded (Qd) equal to the quantity supplied (Qs) and solve for the price (P).
Qd = Qs
400 - 2P = -50 + 3P
Combining like terms:
2P + 3P = 400 + 50
5P = 450
Dividing both sides by 5:
P = 450 / 5
P = 90
The equilibrium price is 90.
To find the equilibrium quantity, we substitute the equilibrium price (P = 90) into either the demand or supply equation:
Qd = 400 - 2P
Qd = 400 - 2(90)
Qd = 400 - 180
Qd = 220
The equilibrium quantity is 220.
Therefore, in this market, the equilibrium price is 90 and the equilibrium quantity is 220.
To learn more about price click here:
brainly.com/question/1528722
#SPJ11
Solve for
x
5
x
+
5
=
3
x
+
4
Give your answer as a fraction
Answers
To solve for x, you need to isolate/get the variable "x" by itself in the equation.
5x + 5 = 3x + 4 Subtract 3x on both sides to get "x" on one side of the equation
5x + 5 - 3x = 3x + 4 - 3x
2x + 5 = 4 Subtract 5 on both sides
2x + 5 - 5 = 4 - 5
2x = -1 Divide by 2 on both sides to get "x" by itself
\(\frac{2x}{2} =\frac{-1}{2} \)
\(x = -\frac{1}{2} \)
Answer:
Step-by-step explanation:
5x + 5 = 3x + 4 is the equation
The image has all the work shown on how to do the problem.
6. suppose that x is an exponential random variable with mean 1. give another random variable that is negatively correlated with x and that is also exponential with mean 1.
Answers
If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
Let Y = 2 - X, where X is an exponential random variable with mean 1.
To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.
Cov(X,Y) = E[XY] - E[X]E[Y]
Since X and Y are both exponentially distributed with mean 1, we have:
E[X] = 1, E[Y] = 2 - E[X] = 1
E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)
Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0
Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.
Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.
Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
Learn more about variable here:
https://brainly.com/question/29696241
#SPJ11
Find the vertex and axis of symmetry of the graph of the function. 6) f(x) = 3x2 - 30x F) (-5, -75); x = -5 G) (-5, 0); x = -5 H) (5,0); x = 5 D (5.-75); x = 5
Answers
3/4 is 1/4 of what number? Write a division expression to match this question.
Answers
Answer:
3
Step-by-step explanation:
Have a nice day
PLEASE HELP!
Marius and his dad build a lamp in the shape
of a triangular prism, open on the top and
bottom
18 in.
20.1 in.
22 in.
18 in
18 in.
How many square inches of canvas did Marius
and his dad use to make the lamp?
Answers
Answer:
≈ 1468.59223 in squared
Step-by-step explanation:
1) A=2AB+(a+b+c)h
2) AB= square root of s(s﹣a)(s﹣b)(s﹣c)
3) s=a+b+c / 2
4) A=ah+bh+ch+1 / 2 square root of﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
5) 18·22+18·22+18·22+1 / 2 x the square root of ﹣184+2·(18·18)2+2·(18·18)2﹣184+2·(18·18)2﹣184≈1468.59223
≈ 1468.59223 in squared
Hope this helps :)
please help me with this for brainliest
Answers
Answer:
23
Step-by-step explanation:
4^2 = 16, 16 + 7 = 13
15 points+brainliest!! please help asap, this is due tonight please!!
Answers
Answer:
\(x=\sqrt{13}\)
Step-by-step explanation:
Base of the isosceles triangle = 4
Perpendicular of the triangle = 3
In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.
In that right angled triangles,
Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )
Perpendicular = 3
Hypotenuse = x
So , according to Pythagorean Theorem ,
\(Hypotenuse = \sqrt{Base^2 + Perpendicular^2}\)
Using all the values above into the formula gives :-
\(x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}\)
A recipe for 1 batch of cookies calls for 1 cups of flour. How many cups of flour are needed
for 3 batches?
4 cups
3 cups
6 cups
4 cups
Dans
Answers
Answer:
3 Cups of flour
Step-by-step explanation:
1 batch of cookies = 1 cup of flour
2 batch of cookies = 2 cups of flour
3 batch of cookies = 3 cup of flour
I hope i helped you :)
(-3x+4)+(8x-5)
A.) 5x - 1
B.) 5x - 9
C.) 11x - 1
D.) 11x - 9
E.) none of these
Answers
Use m a t h w a y
HELP ME PLEASE!
What is the probability that the card drawn is a face card or a club?
Answers
Answer:
52
52
is the correct answer the probability that card drawn is a faace card
Answer:
the probability of a drawing club is 13/52.
The probability of drawing a face card is 12/52.
Step-by-step explanation:
hope it's helpful
If x^2 -8x=48 and x<0, what is the value of x+10?
Answers
Answer:
6
Step-by-step explanation:
To calculate x+10, we first need to find x. To do this, we can use the first equation.
We are given the equation:
\(x^2-8x=48\)
To solve for x, turn one side of the equation into 0 and solve. Therefore:
\(x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12\)
So, the possible values for x are -4 and 12.
However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.
So:
\(x+10\\(-4)+10\\=6\)
(x-12)(x+4) = 0
x=12, x=-4
Since x<0, x must be -4
Therefore, -4+10=6
Please helppp quicklyyy!!
Answers
Answer:
100
Step-by-step explanation:
you can divide 1000 ÷ 100 =10
Ket
Question 1
Points A, O, and B, are collinear. Find the measure of ZCOD.
A
O x = 90°
Ox= 103°
0x=77°
Ox=23°
C
50°
O
D
B
1 pts
Answers
The measure of angle ZCOD is 27°.
Since A, O, and B are collinear, angles AOC and COB form a linear pair, which means their sum is 180°. Therefore:
x + 50° = 180°
Solving for x, we get:
x = 130°
Next, we can use the fact that angles AOC and BOA are vertical angles, which means they are congruent. Therefore:
x = 103°
Substituting x with 130°, we get:
130° = 103° + COD
Solving for COD, we get:
COD = 27°
Finally, since angles AOD and COB are alternate interior angles, they are congruent. Therefore:
77° = 50° + ZCOD
Solving for ZCOD, we get:
ZCOD = 27°
To know more about angle, here
brainly.com/question/28451077
#SPJ4
--The complete question is, Given that points A, O, and B are collinear, find the measure of angle ZCOD, where:
Angle AOC is denoted by x and measures 90°
Angle BOA measures 103°
Angle AOD measures 77°
Angle COB measures 50°.
Please note that point O is located between points A and B.--
Solve the compound inequality.2 < 3x+5< 14Graph the solution on the number line.
Answers
-1 < x < 3
ExplanationsThe given inequality is:
2 < 3x + 5 < 14
Step 1: Subtract 5 from all the sides of the inequality
2 - 5 < 3x + 5 - 5 < 14 - 5
-3 < 3x < 9
Step 2: Divide through by 3
\(\begin{gathered} \frac{-3}{3}<\text{ }\frac{3x}{3}<\frac{9}{3} \\ -1\text{ < x < 3} \end{gathered}\)The solution to the given inequality is -1 < x < 3
The graph for the solution of the inequality is given below:
What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2
No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)
Answers
Answer:
1
Step-by-step explanation:
what is the answer to 6x + 5(2x + 7) = 9x + 5
Answers
Answer: OOOOOKAY So I got three answers they all equal to the same thing
Step-by-step explanation:
Exact Form: x = -30/7
Decimal Form: -4.285714..
Mixed Number Form: x - 4 2/7