Answer:
MC= 11cm
BCM= 49.68°
Step-by-step explanation:
MC= 1/2 AC
1/2 AC = 11
MC= 11
∠α = arcsin(a/c)
= arcsin( 12.961481396816/17)
=arcsin(0.76244008216563)
=0.86708 rad
= 49.68°
need help algebra 2. write in rational exponent form
The rational exponent form is 5^3/5x. Option D
What is the rational exponent form?We know that a rational function would be the function that does not have the radical sign in it. We can see that we have the expression that have been written for us here as; 5√125x^5.
When we open up the radical we would have;
125^1/5 * 5^5/5
But we know that;
125 = 5^3
We now have;
5^3/5 * x
This becomes;
5^3/5x
Thus we are going to end up in the rational exponent form of the expression as 5^3/5x.
Learn more about exponents:https://brainly.com/question/30066987
#SPJ1
Can someone help me with this please? I'll give you brainliest! :)
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Here we go ~
The given figure is of a " Line segment " it can simply be represented by The endpoints written in any order with a bar on it.
And for the given line segment, we can name it in two different ways that are :
\(\qquad \sf \dashrightarrow \: \overline{NX }\)
and
\(\qquad \sf \dashrightarrow \: \overline{XN }\)
This diagram represents a solid object with a mass of 120 grams. What is the density of the object?
The density of the solid object is, 2 grams per cm³.
What is Density of an Object?Density of an object can be calculated using the formula, Density = Mass of Object / Volume of the object.Volume = length × width × length.Given:
Mass of object = 120 grams
length of object = 5.0 cm
width = 4.0 cm
height = 3.0 cm
Volume = 5 × 4 × 3
Volume = 60 cm³
Density = 120/60
Density of object = 2 grams per cm³.
Learn more about density on:
https://brainly.com/question/6838128
as a result of control testing, a cpa has decided to increase control risk. what is the impact on substantive testing sample size if all other factors remain constant?
Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.
If all other factors remain constant, then the substantive testing sample size will remain the same. The increase in control risk will affect the auditor’s overall assessment of risk and may result in the auditor deciding to perform more tests of controls, but it will not necessarily affect the substantive testing sample size.
Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.
Learn more about sample size here
https://brainly.com/question/25894237
#SPJ4
what is the purpose of using prefixes in the metric system
The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.
If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying
Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.
To know more about metric system one may refer to
https://brainly.com/question/25966695
#SPJ4
Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)?
Answer:
( √15 + 8)/7
Step-by-step explanation:
TanA = -√15
.we are to find tan(A-π/4).
In trigonometry
Tan(A-B) = TanA - TanB/1+ tanAtanB
Hence:
tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4
Substitute tan A value into the formula
tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4
tan(A-π/4) = -√15-1/1-√15
Rationalize
-√15-1/1-√15 × 1+√15/1+√15
= -√15-√225-1-√15/(1-√225)
= -2√15-15-1/1-15
= -2√15 -16/(-14)
= -2(√15+8)/-14
= √15 + 8/7
Hence the required value is ( √15 + 8)/7
Answer:
Probably D ( -√15-1/1-√15)
Step-by-step explanation:
it was in adidemiokin's answer before they rationalized it. Couldn't find the darn answer anywhere else. I'm on my 3rd attempt on the EDGE precalc Unit test hopefully D is right.
Bryan decides he wants to help pay for a birthday party for his little brother at the ice rink. It cost $50 to rent the party room and then $4 for each person attending. Bryan only has $100 to spend at the party. a) What are the constraints for this situation? b) Find the domain and range for this situation. Make sure you include all values for each using correct notation.
Answer:
a) 4*x + 50 ≤ 100
b) Domain x (0 ; 12 ) Range f(x) ( 50 ; 98 )
Step-by-step explanation:
The constraint is:
4*x + 50 ≤ 100 where "x" is the number of persons
b) Domain for x
x = 0 up to x = 12 x (0 ; 12 )
c) Range for f(x)
f(x) = 4*x + 50
f(0) = 4*0 + 50 f(0) = 50
f(12) = 4*12 + 50 f (12) = 98
f(x) ( 50 ; 98 )
Let
= 377 , = 148and = 11α
(i) Find the value of such that , , and are linearly dependent.
(ii)State the "Basis Theorem". Use a value that is different from the one found in (i) and apply the "Basis Theorem" to obtain a basis for the three-dimensional space ℝ3 using the vectors , , . Find the coordinates of 235 in terms of the basis. (Use Gaussian Elimination Method to find the coordinates.)
Summary:
(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent
(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:
c1v1 + c2v2 + c3v3 = 0,
where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:
c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.
Simplifying this equation, we get the following system of equations:
3c1 + c2 + αc3 = 0,
7c1 + 4c2 + c3 = 0,
7c1 + 4c2 + c3 = 0.
We can solve this system of equations to find the value of α that satisfies the condition.
(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.
To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.
By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.
Learn more about linearly here:
https://brainly.com/question/32586518
#SPJ11
There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.
(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.
(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.
By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].
To learn more about space click here
brainly.com/question/31130079
#SPJ11
how many times does 50 go into 264
Answer:
5 times. Remaining is 7/25.
Step-by-step explanation:
"How many times does 50 into 264" represents 264/50.
Let's divide 264 by 50:
264 / 50 = 5 with the remaining of 14.
Let's turn 14 into a simplified fraction:
14/50
=7/25.
Your simplified answer is:
50 goes into 264 5 and 7/25 times.
Mrs. E buys a pair of jeans and receives a 35% discount. If the original price of the jeans was $55, how much does Mrs. E pay before taxes?
Answer:
40.39
Step-by-step explanation:
35% discount off 55 is 19.25
$35.75 is the answer
to calculate the tax its 13% rate in your area or what ever
1.13 x 35.75 = 40.39
-(1+7x)-6(-7-x)=36
HELP
Answer:
x=5 Brainliest would be nice :)
Step-by-step explanation:
What is the hypotenuse derivative of the 5th hyperbole when it's divided by the denominator of the 5th degree?
After answering the provided question, we can conclude that The term function "5th hyperbole" is not a mathematical term.
what is function?In mathematics, a function appears to be a connection between two numerical sets in which each individual of the first set (widely recognized as the domain) matches a particular member of the second set (called the range). In other words, a function takes input by one set and provides output from another. The variable x has frequently been used to represent inputs, and the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 represents a linear model whereby each x-value yields a unique value of y.
Here are a few of the reasons:
In mathematics, the term "hypotenuse derivative" has no well-defined meaning. Derivatives are commonly used to describe a function's rate of change in relation to one of its variables, such as the slope of a tangent line to a curve. The hypotenuse is the longest side of a right triangle and does not have an inherent rate of change.
The term "5th hyperbole" is not a mathematical term.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
Please help me on this and show the steps I really need help understanding this and I don’t know how to do it and im stressed so please help!
I will mark brainliest
For the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.
What is defined as the distance formula?The Euclidean distance equation is another name for the distance formula used to calculate the distance between two in a two-dimensional plane.For the given question,
The coordinates of the points L and K taken from the graph are-
L = (-7, 4)
K = (-4, 8)
The distance between the points are found by the distance formula given as;
d = √(x₂ - x₁)² + (y₂ - y₁)²
Where x and y are the respective coordinates of two given points.
put the value;
LK = √(-4 + 7)² + (8 - 4)²
LK = √(3)² + (4)²
LK = √25
Taking square root both sides.
Lk = 5 units.
Thus, for the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.
To know more about the distance formula, here
https://brainly.com/question/661229
#SPJ1
Please answer
convert decimal divison expressions to fractional division expressions to create whole number divisions.
1. 35.7 ÷ 0.07
2. 486.12 ÷ 0.6
3. 3.43 ÷ 0.035
4. 5,418.54 ÷ 0.009
5. 812.5 ÷ 1.25
6. 17.343 ÷ 36.9
Will give brainliest to best answer!!
Step-by-step explanation:
1. 35.7/0.07=510
2. 486.12/0.6=810.2 approximately 810
3. 3.43/0.035=98
4. 5418.54/0.009=602,060
5. 812.5/1.25=650
6. 17.343/36.9=0.47 approximately 1
simplify the expression: 2.5(x + 5 + 2y)
Answer:
2.5x+12.5+5y
Step-by-step explanation:
Layla is driving to a concert and needs to pay for parking. There is an automatic fee of
$8 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $3 for every hour she had her car in the lot. How much total money would
Layla have to pay for parking if she left her car in the lot for 6 hours? How much
would Layla have to pay if she left her car in the lot for t hours?
Answer:
additional charge=$3×$6
=$18
minimum charge =$8
total=$24
Answer:
$26
8 + 3t
Step-by-step explanation:
Complete the triangle. Find all missing sides and angles. Round to the nearest tenth. Triangle DEF; DE=23 and FE=25
DF=?
Angle F=?
Angle E=?
help pls!!
Answer:
DF= 9.8
Angle F= 42.6 degrees
Angle E= 23.1 degrees
Step-by-step explanation:
so for the sides we can use the pythagorean theorem
23^2+b^2=25^2
23 squared is 529 and
25 squared is 625
529+b^2=625
subtract 529 from both sides
b^2=96
the square root of 96 is ~9.8
b=9.8
To find the angles you use sin, cos, or tan. Now that we know all three sides it doesn't matter which one you use so... pick your favorite.
sinf=23/25
f= ~66.9 degrees
tane= 23/25
e= ~23.1
7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times? A. 55 B. 150 C. 200 D. 400 E. 600
Hi! The answer is going for be D (400)
Step-by-step explanation:
Out of 100 women, 8 were married 2 or more times which is 8% or 0.08
So out of 5000 women, the number of women married 2 or more times is: 0.08*5000 = 400
x/5000 = 8/100
x/50=8/1
x=400
Hope this helps! Have a good day!
Help me plz!!!!!!!!!!!
Answer:
40 in^3
Step-by-step explanation:
5 x 4 x 2 = 20 x 2 = 40
the test statistics for one-way anova follows the _______.
The test statistics for one-way Anova follows, the comparing of the T Statistic with the T critical value.
Z-test definition:On data that is dispersed normally, the Z test is a parametric process that is applied. The z-test can be applied to proportions, two samples, or one sample to test hypotheses. When the population variance is known, it is possible to determine whether the means of two significant groups differ.
The second is one-way analysis of variance (ANOVA), which checks if three or more samples originate from populations with the same mean using the F-distribution.
The test statistic should be compared to the crucial value. If the test statistic is more extreme in favor of the alternative than the crucial value, the alternative hypothesis should be considered instead of the null hypothesis. If the test statistic is not as extreme as the crucial value, the null hypothesis should not be disregarded.
Therefore,
The test statistics for one-way Anova follows, the comparing of the T Statistic with the T critical value.
To learn more about One-way Anova visit : brainly.com/question/29554661
#SPJ4
A triangle has a base of (3x+7) and a height of (5x-1)a second triangle is drawn with a base that is tripled and its height is doubled. Find the difference between the area of the original triangle and the area of the new triangle
Answer:
The difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2
Step-by-step explanation:
We know that the area of a triangle A = 1/2bh where b = base and h = height.
Let A be the area of triangle 1 with base (3x + 7) and height (5x - 1).
So its area A = (3x + 7)(5x - 1)/2.
Now for the second triangle, the base is tripled, so its base is 3(3x + 7) and its height is doubled, so its height is 2(5x - 1)
So its area is A' = 3(3x + 7) × 2(5x - 1)/2 = 3(3x + 7)(5x - 1)
So the difference between the area of the original triangle and the new triangle is
A' - A = 3(3x + 7)(5x - 1) - (3x + 7)(5x - 1)/2
= (3x + 7)(5x - 1)(3 - 1/2)
= 5(3x + 7)(5x - 1)/2
So the difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2
Lee purchased groceries for $33.29. He paid with two $20 bills. How much change should Lee receive?
Answer: $6.71
Step-by-step explanation:
Answer:
$6.71
Step-by-step explanation:
$20x2=$40
$40-$33.9=$6.71
plz mark me as brainliest.
Victoria and Javier are collecting aluminum for a community service project. Victoria previously collected 56 pounds and is collecting at a rate of 8 pounds per hour this weekend. Javier collected 16 pounds earlier and Is now collecting at a rate of 12 pounds per hour. How many hours must pass (x) before the two students have collected the same amount of aluminum (y)?
Answer:
10 hoursStep-by-step explanation:
Victoria collects:
8x + 56Javier collects:
12x + 16They get same amount:
8x + 56 = 12x + 1612x - 8x = 56 - 164x = 40x = 10Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
The tax rate Laura will pay on her investment income is ____
(Options in attached photo)
ahemm ahemmm
the question is asking on her investment income, well, she only made 5000 bucks on investment gains or namely capital gains, the tax rate from the table on the right is 0% for 0 to 38600, so she'll pay 0%, she gets to keep her 5000 bucks, maybe get some new furniture.
The requried she gets to keep the entire amount and may use it to buy new furniture or for other purposes.
What is simplification?
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
she has made a total of $5000 only on her investment gains or also known as capital gains. According to the tax rate mentioned in the table on the right, which is 0% for incomes ranging from $0 to $38600, she will not have to pay any tax on this income. This means that she will be able to keep the entire $5000 amount for herself, which could be used to buy some new furniture or invest in some other way.
Therefore, she gets to keep the entire amount and may use it to buy new furniture or for other purposes.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
its 8th grade math i did not pay attention
Answer:
a = 11
Step-by-step explanation:
Using the Pythagorean Theorem:
\( {a}^{2} + {26.4}^{2} = {28.6}^{2} \)
\( {a}^{2} + 696.96 = 817.96\)
\( {a}^{2} = 121\)
\(a = 11\)
Find the length of the straight lines joining the following pairs of points (-1,3)and(5,2)
Answer:
es lo que es
Step-by-step explanation:
step by step =step momThe radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, what is the linear speed of the car in miles per hour? Round your answer to the nearest tenth.
Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:
Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep
4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3
To know more about The radius of the wheel
Visit https://brainly.com/question/33382741
#SPJ11
The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.
To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:
Calculate the circumference of the wheel:
The circumference of a circle is given by the formula
C = 2πr
where r is the radius of the wheel.
In this case, the radius is 30 inches, so the circumference is
C = 2π(30)
= 60π inches.
Calculate the distance traveled in one revolution:
Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.
Calculate the distance traveled in one minute:
Multiply the distance traveled in one revolution by the number of revolutions per minute.
In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.
Convert the distance to miles per hour:
There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.
Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.
The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.
Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.
Learn more About linear speed from the given link
https://brainly.com/question/29345009
#SPJ11
Use suitable property to find the product step by step pls
8759 x 2391 x 2391 x 7759
The product of 8759 x 2391 x 2391 x 7759 is 388,895,526,171,961.
To find the product of 8759 x 2391 x 2391 x 7759, we can use the associative property of multiplication. This property states that the way in which we group the factors does not affect the result of the multiplication.
So, we can group the factors in pairs and multiply each pair together before multiplying the products. Let's start with 8759 x 7759 and then multiply the products of 2391 x 2391.
8759 x 7759 = 67,907,881
2391 x 2391 = 5,716,881
Now, we can multiply these two products together to get the final result.
67,907,881 x 5,716,881 = 388,895,526,171,961
Therefore, the product of 8759 x 2391 x 2391 x 7759 is 388,895,526,171,961.
Using the associative property of multiplication can make it easier to find the product of a large number of factors. By grouping the factors in pairs and multiplying each pair together, we can simplify the problem and make it more manageable.
Learn more about associative property here:
https://brainly.com/question/30111262
#SPJ11
A cookie recipe calls for 2 eggs and 3 cups of flour. Nisha plans to increase the recipe
and use 6 eggs. Let x represent the number of cups of flour. Which proportion could be
used to calculate the number of cups of flour she needs?
A.
2+4
X +4
B.
2 4
3 х
WIN WIN
C.
3.2
3x
D.
2 6
3 x
Answer:
Step-by-step explanation:
2+4
X +4
B.
2 4
3 х
WIN WIN
C.
3.2
3x
D.
2 6
3 x
Answer:
First, I would find the unit rate for people 240 5
people who bike 48 1 . Next, I would
find the number of people who like to bicycle in a group of 360 people and
assume that only people that like to bicycle would own a mountain bike:
5 360 = = 72
1
x
x , . Finally, I would write the ratio 7 mountain bikes = 18 bicyclists= bicyclists 72
x
and
solve for x to see that there should be 28 mountain bikes.
Step-by-step explanation:
Select the correct answer.
4
What is the sum of -65 and 6?
O A. 121
B.
29
5
O C.
o
OD. – 124
Answer:
-59 im pretty sure