Please help with this one! I really suck at angles- and this is due tonight TwT
Answers
m∠B = 69°
Step-by-step explanation:
∠A and ∠B aré complementary angles meaning their measures add up to 90°
m∠A = (x + 9)°
m∠B = (7x - 15)°
m∠A + m∠B = 90°
(x + 9)° + (7x - 15)° = 90°
(x + 9)° + 7x = 90° + 15°
(x + 9)° + 7x = 105°
8x + 9 = 105°
8x = 105 - 9
8x = 96
x = 96/8
x = 12
Now use the expression of m∠B to plug in x and find the measure of b
(7x - 15)°
(7(12) - 15)°
(84 - 15)°
69°
m∠B = 69°
Related Questions
In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.
Answers
Answer:
90,597 square inches
Step-by-step explanation:
In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.
We solve using Heron's formula
A = √s(s -a)(s - b) (s - c)
s = a + b + c/2
a = 410 inches
b = 530 inches
c = 830 inches
Hence,
s = 410 + 530 + 830/2
s = 885
A = √885(885 - 410)(885 - 530)(885 - 830)
A = 90,597.030166557 square inches
Approximately = 90,597.0 square inches
(1) Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S=74; X=70;T=6 months; σ2=.50 Rf=10% (2) What is the intrinsic value of the call? (3) What stock price is necessary to break-even? 4 If volatility were to decrease, the value of the call would (5 If the exercise price would increase, the value of the call would ? 6 If the time to maturity were 3-months, the value of the call would ? 77 If the stock price were $62, the value of the call would ? 8 What is the maximum value that a call can take? Why?
Answers
(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.
(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.
(4) If volatility were to decrease, the value of the call would decrease.
(5) If the exercise price would increase, the value of the call would decrease.
(6) If the time to maturity were 3-months, the value of the call would decrease.
(7) If the stock price were $62, the value of the call would be zero.
(8) The maximum value that a call option can take is unlimited.
In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:
C = S*N(d1) - X*e^(-rT)*N(d2)
where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.
Using the given values, we can calculate d1 and d2:
d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))
= [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))
= 0.9827
d2 = d1 - σ2T^(1/2) = 0.7327
Using these values, we can calculate the value of the call option:
C = S*N(d1) - X*e^(-rT)*N(d2)
= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)
= $7.70
The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.
If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.
If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.
The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.
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B: Graphs of vector valued functions can range from continuous and smooth to discontinuous and wildly erratic. A curve r(t) is smoothly parametrized by r(t), or that r(t) is a smooth function of t if r' (t) is continuous and r' (t) = 0 for any allowable value of t. Geometrically, this means that a smoothly parametrized curve can have no abrupt changes in direction as the parameter increases. Determine whether the following vector valued functions are smooth. a) r(t) = a costi + asint j + ct k; a&c> 0 b) r(t) = t²i+t³j
Answers
To determine if a vector-valued function is smooth, we need to check if its derivative is continuous and if the derivative is non-zero for any allowable value of the parameter.
a) For the vector-valued function r(t) = a cos(t) i + a sin(t) j + c t k, where a and c are both greater than 0:
Derivative: r'(t) = -a sin(t) i + a cos(t) j + c k
The derivative is continuous for all values of t, and it is non-zero for any allowable value of t (since a and c are both greater than 0). Therefore, the vector-valued function r(t) is smooth.
b) For the vector-valued function r(t) = t² i + t³ j:
Derivative: r'(t) = 2t i + 3t² j
The derivative is continuous for all values of t, but it is zero at t = 0. This means that there is an abrupt change in direction at t = 0, violating the condition for smoothness. Therefore, the vector-valued function r(t) is not smooth.
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To determine if a vector-valued function is smooth, we need to check if its derivative is continuous and if the derivative is non-zero for any allowable value of the parameter.
a) For the vector-valued function r(t) = a cos(t) i + a sin(t) j + c t k, where a and c are both greater than 0:
Derivative: r'(t) = -a sin(t) i + a cos(t) j + c k
The derivative is continuous for all values of t, and it is non-zero for any allowable value of t (since a and c are both greater than 0). Therefore, the vector-valued function r(t) is smooth.
b) For the vector-valued function r(t) = t² i + t³ j:
Derivative: r'(t) = 2t i + 3t² j
The derivative is continuous for all values of t, but it is zero at t = 0. This means that there is an abrupt change in direction at t = 0, violating the condition for smoothness. Therefore, the vector-valued function r(t) is not smooth.
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the daily high temperatures are recorded:
-5 °F, 3 °F, -1°F, 2°F 4 °F, -3 °F
What is the average high temperature for the expedition?
What property did you use to find it?
Answers
The average Temperature will be 0°F. Property of Mean will be used to find out the Average temperature.
In the given question, we are given a data series which is -5 °F, 3 °F, -1°F, 2°F 4 °F, -3 °F. We have to find out the Average High temperature in this series. For finding out the average we need to use the property of Mean.
The formula for Mean can be defined as:
=> Mean = Sum of all number/Number of terms
Putting the data values in the formula of mean we get:
=> Mean = (-5 +3 -1 +2 +4 -3)/6 => Mean = 0/6
=> Mean = 0
Hence, The average Temperature of the recorded data will be: 0 °F.
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A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of the building across the street and notices that the angle of elevation is 48°. She rides the elevator up three floors (60 feet) and finds that the angle of elevation to the top of the building across the street is 31°. How tall is the building across the street? (Round to the nearest foot.)
Answers
Answer:
131 ft
Step-by-step explanation:
You want the height of a building if two observations of its top separated by 60 vertical feet have angles of elevation of 48° and 31°.
SetupLet x be the distance to the building at street level, and y be the height of the building. The tangent relation is ...
Tan = Opposite/Adjacent
The first observation tells us ...
tan(48°) = y/x
The second observation tells us ...
tan(31°) = (y -60)/x
SolutionSolving each equation for x gives ...
x = y/tan(48°)
x = (y -60)/tan(31°)
The difference of these x-values is zero, so we have ...
x - x = 0
y/tan(48°) -(y -60)/tan(31°) = 0
y(1/tan(48°) -1/tan(31°)) +60/tan(31°) = 0
Subtracting the constant and dividing by the coefficient of y, we get ...
y = (60/tan(31°))/(1/tan(31°) -1/tan(48°)) = 60·tan(48°)/(tan(48°) -tan(31°))
y ≈ 130.724
The height of the building is about 131 feet.
what is the volume of this pyramid? 720 cm³ 720 cm³ 1080 cm³ 1080 cm³ 1440 cm³ 1440 cm³ 2160 cm³ 2160 cm³ a pyramid with a right triangular base. the right triangular base has leg lengths of 9 centimeters and 15 centimeters. the height of the pyramid is 32 centimeters.
Answers
Based on the calculations, the volume of this pyramid is equal to 1440 cm³.
Given the following data:
Length of right triangular base = 9 centimeters and 15 centimeters.
Height of right triangular base = 32 centimeters.
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height of a pyramid.
b is the base area of a pyramid.
Substituting the parameters into the formula, we have:
Volume = 1/3 × 9 × 15 × 32
Volume = 3 × 15 × 32
Volume of pyramid = 1440 cm³.
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Find the angle between the given vectors. Round to the nearest tenth of a degree. u=-3i+ 4j, v = 7i+5j
Answers
The angle between u and v , after rounding is approximately 121.2 degrees.
To find the angle between two vectors, you can use the dot product formula:
u · v = ||u|| ||v|| cos(theta)
where ||u|| and ||v|| are the magnitudes of the vectors u and v, and theta is the angle between them.
First, we need to calculate the magnitudes of u and v:
||u|| = sqrt((-3)^2 + 4^2) = 5
||v|| = sqrt(7^2 + 5^2) = sqrt(74)
Next, we can calculate the dot product of u and v:
u · v = (-3)(7) + (4)(5) = -1
Now we can use the dot product formula to solve for theta:
-1 = (5)(sqrt(74)) cos(theta)
cos(theta) = -1 / (5 sqrt(74))
theta = acos(-1 / (5 sqrt(74))) ≈ 121.2 degrees
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10. Zeros following non-zero digits in a number are not significant.
True or false?
Answers
Hello!
The statement is true.
Zeros following non-zero digits in a number are not significant.
Example:
48,000
It's tempting to say that this number has 5 significant digits; however, it only has 2 (4 and 8)
Hence, the statement is true. Hope it helps. Do ask me if you have any question.
~An excited gal
\(MagicalNature\) here to help
What is the value of the expression below?
(9 divided by 3) + 4 (6 minus 7)
Answers
(9 : 3) = 3(6 - 7) = (-1)
Next product
4(6 - 7) = 4(-1) = -4
Next sum
(9 : 3) + 4(6 - 7) = 3 + (-4) = -1
Answer:
-1 or B
Step-by-step explanation:
took the test
Select all the expressions that are equivalent to 3x + 9 + 3.0 + 9.,
Please help
Answers
Answer:
Option 1,2,5 and 7 are correct.
Step-by-step explanation:
To find : Which of the following expressions are equivalent to the expression 4x + 8?
Solution :
We solve every given options,
1)
It is equivalent.
2)
It is equivalent.
3)
It is not equivalent.
4)
It is not equivalent.
5)
It is equivalent.
6)
It is not equivalent.
7)
It is equivalent.
Therefore, Option 1,2,5 and 7 are correct.
Step-by-step explanation:
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
Answers
What is (p) + (2p + 1) + (p+4)
Answers
Answer:
4p + 5
Step-by-step explanation:
Add all like terms:
p + 2p + p = 4p
1 + 4 = 5
4p + 5
What are the domain and range of the function on the graph the domain includes?
Answers
The range of the domain is y > 0.
What is meant by domain ?The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set. A function's domain is the collection of all potential inputs. For instance, all real numbers are in the domain of f(x)=x2, and all real numbers are in the domain of g(x)=1/x, with the exception of x=0. Special functions with more constrained domains can also be defined.we know that,
The domain of the function of the graph is the interval-----> (-∞,∞)
that means
All real numbers
The range of the function of the graph is the interval-----> (0,∞)
that means
-----> all real numbers greater than zero
therefore
the answer is the option D.
The complete question is:
What are the domain and range of the function on the graph?
A)The domain includes all integers, and the range is y ≥ 0.
B)The domain includes all integers, and the range is y > 0.
C)The domain includes all real numbers, and the range is y ≥ 0.
C)The domain includes all real numbers, and the range is y > 0.
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What is the value of the quota if at least two-thirds of the votes are required to pass a motion?
Answers
The value of the quota if at least two-thirds of the votes are required to pass a motion is (2/3) x Total votes cast.
A quota is a number of votes required to approve an action, or in this case, a motion. It can be calculated as a fraction of the total votes cast or as a fixed number of votes.
In this case, we are given that at least two-thirds of the votes are required to pass a motion. This means that the quota is greater than or equal to two-thirds of the total votes cast.
We can calculate the value of the quota using the following formula:
Value of the quota = (2/3) x Total votes cast
For example, if the total votes cast are 100, then the value of the quota would be:
(2/3) x 100 = 66.67
Therefore, the value of the quota is (2/3) x Total votes cast.
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Please help me answer this
Answers
Answer:
\( \frac{8}{x3y} \)
Here you go.Hope this help!!
\(\\ \rm\hookrightarrow \dfrac{8x^4y^3}{x^7y^4}\)
a^m/a^n=a^m-n\(\\ \rm\hookrightarrow \dfrac{8x^{4-7}y^{3-4}}{}\)
\(\\ \rm\hookrightarrow 8x^{-3}y^{-1}\)
\(\\ \rm\hookrightarrow \dfrac{8}{x^3y}\)
16. x divided by 7 = 42
Answers
Answer:
x = 294
Step-by-step explanation:
x/7 = 42
so x = 7 ×42
x = 294
If you could read 10 pages in 30 minutes, how many pages could you read in 3 hours?
Group of answer choices
60 pages
30 pages
40 pages
50 pages
Answers
Answer:
50 pages
Step-by-step explanation:
3 hours divided by 30 mins is 5
5 × 10 = 50
happy to help!! :)
Need answers for 3 and 4 please.
Answers
Answer:
Note: Any number or variable(unknown) raised to the index or power zero (0)* is equal to one (1)*.
3. Solution
Given: x = 2 and y = 5
-4x^-2 + 3y^0
by substituting the values of x and y,
> -4(2)^-2 + 3(5)^0
> -4/(2)^2 + 3(5)^0
> -4/4 + 3(1)*
> -1 + 3 = 2
4. Solution
Given: x = 2 and y = 5
2x^0y^-2
by substituting the values of x and y
> 2(2)^0(5)^-2
>2(2)^0×1/(5)^2
>2(1)×1/25
>2×1/25
>2/25
Solve the equation for x.
-x^2+14=10
Answers
subtract 14 from each side
-x^2 = -4
divide each side by -1
x^2 =4
square root each side
x = 2
hope this helps!!! :)
x= 2
can anyone help? Need expert advice
Answers
Answer:
C (3,6)
Step-by-step explanation:
So the zeroes are the points that the loop goes through on the x-axis
so three and six
What do the properties of polynomial addition mean? Complete each statement.
The closure property states that the sum of two polynomials is a
.
The commutative property states that changing the order of two or more terms
the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum
the value.
Answers
Answer:
See below.
Step-by-step explanation:
The closure property states that the sum of two polynomials is a polynomial.
The commutative property states that changing the order of two or more terms does not change the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum does not change the value.
The blanks are filled below.
What are the properties of polynomial Addition ?
There are different properties used in the polynomial Addition , like Closure Property , Commutative Property , Distributive property
Associative property.
The closure property states that the sum of two polynomials is a polynomial.
The commutative property states that changing the order of two or more terms does not change the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum does not change the value.
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find the value of x when (√2)^x=8(16^x)
Answers
Answer:
x= -6/7
Step-by-step explanation:
How do you compare numbers in a scientific notation?
Answers
To compare two numbers given in scientific notation, first compare the exponents. The one with the greater exponent will be greater. If the exponent is the same, compare the two numbers that are being multiplied by comparing their decimals.
Already paraphrased so no need to change anything !
Can you come up with the equation for the graph to the left in y = mx + b form??
Answers
Answer:
\(y=-\frac{2}{3}x+4\)
Step-by-step explanation:
\(y=\frac{4-0}{0-6}=-\frac{2}{3} \\ \\ b=4 \implies y=-\frac{2}{3}x+4\)
Apply the algorithm for dividing fractions. of 3/4 divided 1/5
Answers
Answer:
15/4
Step-by-step explanation:
Keep,Change, Flip
Answer:
15/4
Step-by-step explanation:
(3/4) / (1/5) = 3/4 * 5/1 = 3*5 / 4*1 = 15 / 4
Is the triangle with sides 1.7 in., 1.1 in., and 2 in. a right triangle? Explain.
Answers
Answer:
No
Step-by-step explanation:
This is because those 3 values are not pythagorean triples
2² is not equal to 1.7² + 1.1²
7) A ___distribution________ is a mathematical function that describes the ____parameter __________ of different values of a variable in a population or a sample.
Answers
A distribution is a mathematical function that describes the parameter of different values of a variable in a population or a sample.
A distribution is a mathematical function that provides a representation of how the values of a variable are spread out or distributed across a population or sample. It describes the probability of observing different values of the variable and provides insights into the likelihood or likelihoods associated with each possible value.
The distribution is often defined by certain parameters that characterize its shape, center, and spread. These parameters can include measures such as the mean, median, mode, variance, or standard deviation, among others. They provide information about the central tendency, variability, and other characteristics of the data.
By analyzing the distribution of a variable, we can gain valuable insights into its behavior and characteristics within a specific population or sample. Different distributions have distinct shapes and properties, such as the normal distribution, which is symmetric and bell-shaped, or the uniform distribution, which is characterized by constant probability across a range of values.
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Please answer correctly! I will Mark you Brainliest!
Answers
Answer:
the height is 9
Explanation:
8 × 10 = 80
720 ÷ 80 = 9
The diagram shows a rhombus inside a regular hexagon.
Work out the size of angle x.
Answers
Answer:
The answer to your problem is, 60
Step-by-step explanation:
As shown, a rhombus inside a regular hexagon. The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x
= the measure of one angle of the regular hexagon.
Equation 60 + x = 120x = 120 - 60 = 60°
Thus the answer to your problem is, 60
Mrs. MaryAnn is giving treat sacks out for Valentines Day. She has 30 pencils and 42 smiley face stickers. Mrs. Maryann wants each treat sack to be identical with no leftovers Whats the greatest number of treat sacks she can make? How many pencils will be in each treat sack? How many smiley face stickers will be in each treat sack?
Answers
Answer:
6 number treat sacks and
each sack having 5 pencils and 7 smiley face stickers.
Step-by-step explanation:
Given that:
Number of pencils = 30
Number of smiley face stickers = 42
Mrs. MaryAnn wants to divide everything in identical treat sacks so that there are no leftovers.
To find:
The number of greatest number of treat sacks.
Solution:
First of all, we need to find the Highest Common Factor of the two numbers.
Factorization method:
\(30 = \underline2\times \underline3\times 5\)
\(42 = \underline2\times \underline3 \times 7\)
Here, the common numbers 2 and 3.
So, highest common factor is \(2\times 3 = 6\)
If we divide 30 by 6, we get 5 and
If we divide 42 by 6, we get 7
So, if we take 5 pencils and 7 smiley face stickers in one treat sack and if we make 6 such treat sacks then there will be equal division and no leftovers.
Therefore, the answer is:
6 number treat sacks and
each sack having 5 pencils and 7 smiley face stickers.