Answers
Given:
The right angled triangle is given.
One side of a triangle (height) = a =
\(x\)Other side of a triangle (base) = b= 19.
One of the angles of a triangle =
\(41\degree\)One angle is right angled.
Required:
Measure of x.
Answer:
Let us find the measure of side of a triangle using the formula,
\(\begin{gathered} tan\theta=\frac{a}{b} \\ tan(41\degree)=\frac{x}{19} \\ 0.86928=\frac{x}{19} \\ x=0.86928\times19 \\ x=16.51632 \end{gathered}\)Therefore, the value rounded nearest to the 10th is,
\(undefined\)Related Questions
After completing your analysis of the rating system, you determine that any rating greater than or equal to 3.5 points can be considered a high rating. You also know that Chocolate and Tea considers a bar to be super dark chocolate if the bar's cocoa percent is greater than or equal to 70%. You decide to create a new data frame to find out which chocolate bars meet these two conditions.
Assume the first part of your code is:
best_trimmed_flavors_df <- trimmed_flavors_df %>%
You want to apply the filter() function to the variables Cocoa.Percent and Rating. Add the code chunk that lets you filter the data frame for chocolate bars that contain at least 70% cocoa and have a rating of at least 3.5 points.
What rating appears in row 1 of your tibble?
0 / 1 point
3.75
3.50
4.25
4.00
Answers
As a result, option two (3.50) is correct.
Step-by-step explanation:
The code chunk that allows you to filter the data frame for chocolate bars with at least 70% cocoa and a rating of at least 3.5 pounds is as follows
∴ filter(Cocoa, percent>='70%'&Rating>=3.5)
Therefore, the code you write is facet wrap(Cocoa. Percent). Facet wrap() is a function in this code chunk that allows you to wrap a variable's facets. All of the ingredients are derived from cocoa beans. Cacao solids (the "brown" part, which contains health benefits and the unmistakable chocolatey flavor) and cacao butter (the "white" part, which contains the chocolate's fatty component) are split in proportion.
As a result, 3.5 appears in row 1 of your Tibble.
Other options I (iii), and (iv) are incorrect because the question states that any rating greater than or equal to 3.5 points can be considered a
high rating, and the rating here should be 3.5, not 3.75, 4.25, or 4
So, option (ii) is correct.
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Find the inverse of the function f(x) = 2x^3 - 5
This is what I have so far
F(x) = 2x^3 - 5
Y = 2x^3 - 5
X = 2y^3 - 5
+5 +5
x + 5 = 2y^3
Answers
9514 1404 393
Answer:
f^-1(x) = ∛((x +5)/2)
Step-by-step explanation:
Continue to solve for y.
\(x +5=2y^3\qquad\text{so far so good}\\\\\dfrac{x+5}{2}=y^3\qquad\text{divide by 2}\\\\\sqrt[3]{\dfrac{x+5}{2}}=y\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}}\qquad\text{expressed in functional form}\)
If you want to "rationalize the denominator", you can multiply both numerator and denominator by 4 inside the radical. This will simplify to ...
\(\displaystyle\boxed{f^{-1}(x)=\frac{1}{2}\sqrt[3]{4x+20}}\)
\(\\ \rm\Rrightarrow y=2x^3-5\)
Interchange y and x\(\\ \rm\Rrightarrow x=2y^3-5\)
\(\\ \rm\Rrightarrow 2y^3=x+5\)
Isolate y\(\\ \rm\Rrightarrow y^3=\dfrac{x+5}{2}\)
\(\\ \rm\Rrightarrow y=\sqrt[3]{\dfrac{x+5}{2}}\)
This is the inverse\(\\ \rm\Rrightarrow f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}\)
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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-1/4 plus 3/5
Answer or else
Answers
The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.
To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.
The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:
-1/4 = -5/20
3/5 = 12/20
Now that the fractions have the same denominator, we can add them:
-5/20 + 12/20 = (-5 + 12)/20 = 7/20
Therefore, -1/4 + 3/5 is equal to 7/20.
To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.
Thus, the final answer is 7/20.
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The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
Answers
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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60 families from each school in the district were given a survey asking them their primary method of transportation. 65% of the families surveyed said they would need bus transportation. 15% of families surveyed said they would walk to school. 18% of families surveyed said they would use their own transportation (parent drop off). 2% of those surveyed did not respond. What is the sample and what is the population in this scenario?
Answers
a) The sample in this scenario is 60 families from each school in the district.
b) The population is the total number of families in the school district.
What is the sample?The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.
The sample of families surveyed = 60 families from each school in the district
The population = the number of families in the school district
The percentage of families surveyed who need bus transportation = 65%
The percentage of families surveyed who would walk to school = 15%
The percentage of families surveyed who would use own transportation = 18%
The percentage of non-respondents = 2%
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1. Use the triangle below to determine the values indicated:
Answers
Answer:
A. Sine Y = 20 / 29
B. Cos Y = 21 / 29
C. Tan Y = 20 / 21
D. Sine Z = 21 / 29
E. Cos Z = 20 / 29
F. Tan Z = 21 / 20
Step-by-step explanation:
A. Determination of Sine Y
Opposite = 20
Hypothenus = 29
Sine Y =?
Sine Y = Opposite / Hypothenus
Sine Y = 20 / 29
B. Determination of Cos Y
Adjacent = 21
Hypothenus = 29
Cos Y =?
Cos Y = Adjacent / Hypothenus
Cos Y = 21 / 29
C. Determination of Tan Y
Opposite = 20
Adjacent = 21
Tan Y =?
Tan Y = Opposite / Adjacent
Tan Y = 20 / 21
D. Determination of Sine Z
Opposite = 21
Hypothenus = 29
Sine Z =?
Sine Z = Opposite / Hypothenus
Sine Z = 21 / 29
E. Determination of Cos Z
Adjacent = 20
Hypothenus = 29
Cos Z =?
Cos Z = Adjacent / Hypothenus
Cos Z = 20 / 29
Determination of Tan Z
Opposite = 21
Adjacent = 20
Tan Z =?
Tan Z = Opposite / Adjacent
Tan Z = 21 / 20
Can somebody help me with this, please?
Answers
Answer:
2/3x
Step-by-step explanation:
This is a simple ax graph. all we need is the slope. the slope is the amount the y goes divided by the amount the x goes. essentially
change in y / change in x
2/3
2/3x
Answer:
1ST star is (0,0)
2nd star is (3,2)
3rd star is (6,4)
4th star is (9,6)
Step-by-step explanation:
I HOPE THIS HELPS SORRY I TOOK SO LONG
If f(x) = 3 - 2x and g(x)= 1/(x+5),what is the value of (f/g) (8)?
Answers
Answer:
(f/g)(8) = -169
Step-by-step explanation:
Simply plug in x = 8 into our equation:
\(\frac{3-2(8)}{\frac{1}{8 + 5} }\)
\(\frac{-13}{\frac{1}{13} }\)
-13(13)
-169
Ginny's account after withdrawal?
Answers
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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David is starting a collection of baseball cards. He currently has 16 cards in his collection. He hopes to buy 5 more each month. Write and solve an inequality that can be used to find the least number of weeks it will take him to collect 50 cards.
Answers
Answer:
69
Step-by-step explanation:
Find the measure of angle b
Answers
Answer: The measure of angle B is 31 degrees.
Step-by-step explanation:
180 -149 = 31
Answer:
31 degrees
Step-by-step explanation:
We can see that 149 degrees and b are on a line. If they are next to each other they are called adjacent angles. There is a rule that adjacent angles add up to 180 degrees. So we subtract 149 from 180 and we get 31 degrees for angle b.
Hope this helps! :)
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
Answers
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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What’s the midpoint of the line segment (-3,-1) and (-5,4)
Answers
Answer:
The mid-point is ( -4, 1.5)
Step-by-step explanation:
(x,y)= ((-3-5)÷2,(-1+4)÷2)
=(-4,1.5)
Find the surface area of the prism.
Answers
Answer:
136
Step-by-step explanation:
The formula to find the surface area is 2(wl+hl+hw)
W= 3
H= 8
L= 4
wl= 3*4 = 12
hl= 8*4= 32
hw= 8*3 = 24
12+32+24= 68
68 * 2 = 136
Dr. Kora borrowed $8000 to purchase new medical equipment for her new office . If she paid 7.5% simple interest for 10 years. How much interest will she pay?
Answers
Answer:
Dr. Kora will pay an interest of $6,000
Step-by-step explanation:
Simple interest = P × R × T
Where:
P = Principal = $8000
R = Rate = 7.5% = 0.075
T = Time = 10 years
∴ Simple interest = 8000 × 0.075 × 10 = $6,000
Therefore Dr. Kora will pay an interest of $6,000
Evaluate
1/5 divided by 3/4
Give your answer as a fraction in its simplest form.
Answers
4/15
it could be answered by multiplication
4/5×3
4/15 is the solution when 1/5 is divided by 3/4
What is Fraction?A fraction represents a part of a whole.
Given,
1/5 divided by 3/4
We need to divide 1/5 by 3/4
Division is a process of splitting the whole part to equal parts.
1/5/3/4
When a fraction is divided by another fraction.
The denominator fraction is rationalized with the numerator with a multiplication.
1/5×4/3
4/15
Hence, 4/15 is the solution when 1/5 is divided by 3/4
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The length of a rectangle is 4 less than 5 times the width. The perimeter is 148 ft.
Find the length and width of the rectangle.
Answers
Answer:
Here to get the points thanks for recommending this ur so nice.
Step-by-step explanation:
or
Look at this diagram:
M
N
O
P
Q
R
S
T
If
NP
and
QS
are parallel lines and mNOM = 130°, what is mPOM?
Answers
If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.
What is parallel line?Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.
Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.
Since NP and QS are parallel lines, we have:
∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)
Also, the alternate interior angles NOM and POM are equal, so:
∠NOM = ∠POM
Substituting this into the first equation gives:
∠POM + ∠MOP = 180°
We can now solve for ∠POM by substituting the given value:
130° + ∠POM = 180°
∠POM = 50°
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Adult and student tickets to the high school basketball game are sold each week. for every two adult tickets seven students tickets are sold. how many total tickets were sold if 92 adult tickets were sold?
Answers
Answer:
414
Step-by-step explanation:
the ratio of adult tickets to student tickets = 2 to 7 num of student tickets / 92 = 7 / 2 ... x = 414 total tickets sold.
What would be the final elevation if a moth is flying at at 9 meters above the ground and changes by -4?
a. 5 meters
b. -5 meters
c. 13 meters
d. -13 meters
Answers
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
1. DRAGONS The Luck Dragons that live
in the Enchanted Forest weigh 4x
pounds when they are x years old.
Write a function table that can be used
to find the weights of 6-year old, 8-year
old, and 10-year old Luck Dragons.
Answers
8yr=32pounds
10yr=40pounds
Part II: Use the formula from Part I to find the slope of the line that goes through
each pair of point
A. (5, 7) and (-4,-2)
B. (1, 3) and (1,-10)
Answers
\((\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{5}}} \implies \cfrac{ -9 }{ -9 } \implies 1 \\\\[-0.35em] ~\dotfill\)
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-10}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ 0 } \implies unde fined\)
something noteworthy, the second one has two points with the same x-coordinate, that means is a vertical line and all vertical lines have an undefined slope.
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
Answers
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
Can someone pleaseee help me
Answers
Answer:
120 degrees
Step-by-step explanation:
Ok, so if you know that 5 is 120 degrees then 1 is 120 degrees because the angles will be corresponding when it is a set of lines that are parallel bisected by a line. So 1 is corresponding to 5 and 2 to 6 and 3 to 7 and 4 to 8.
Answer:MEASURE OF ANGLE 1 IS ALSO 120 DEGREE.
Step-by-step explanation:ANGLE 1 AND ANGLE 5 MEASURE THE SAME DEGREE BECAUSE THEY ARE CORRESPONDING ANGLES BASED ON PARALLEL AND TRANSVERSAL LINES RULE.
S={(3,p),(3,0),(4,q),(1,4)}
Answers
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
Cakculate the Length of line x
Answers
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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tic is an isosceles triangle with a vertex angle i if the measure of i90
Answers
Applying the definition of an Isosceles triangle, given that isosceles triangle TIC has a vertex angle I of 90 degrees, the measure of angle T is 45 degrees.
In geometry, an isosceles triangle is a triangle that has at least two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of bipyramids and certain Catalan solids.
The two equal sides are called the legs and the third side is called the base of the triangle. The other dimensions of the triangle, such as its height, area, and perimeter, can be calculated by simple formulas from the lengths of the legs and base. Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. The two angles opposite the legs are equal and are always acute, so the classification of the triangle as acute, right, or obtuse depends only on the angle between its two legs.
An Isosceles triangle has a vertex angle and two equal base angles.
Given that triangle TIC is an isosceles triangle:
angle I is the vertex angle = 90 degrees
angle T is a base angle
angle C is also a base angle
Thus:
angle C and angle T are congruent or equal to each other.
Therefore,
Angle T = (180 - 90)/2
⇒ Angle T = 90/2
⇒ Angle T = 45 degrees.
applying the definition of an isosceles triangle, given that isosceles triangle TIC has a vertex angle I of 90 degrees, the measure of angle T is 45 degrees.
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write an EXPRESSION for the following!
4 less than x
17 more than x
the product of 18 and x
the quotient of x and 17
70 less than x
Answers
Answer:
The expression for 4 less than x is: x - 4
The expression for 17 more than x is: x + 17
The expression for the product of 18 and x is: 18x
The expression for the quotient of x and 17 is: x/17
The expression for 70 less than x is: x - 70
Step-by-step explanation:
4 less than x
4 less than a number is the number subtracted by 4. So the expression is x - 4.
17 more than x
17 more than a number is the number added to 17. So the expression is x + 17.
the product of 18 and x
The product of two numbers a and b is a*b, so the product of 18 and x is 18*x = 18x
the quotient of x and 17
The quotient of two numbers a and b is a/b, so the quotient of x and 17 is x/17.
70 less than x
70 less than a number is the number subtracted by 70. So the expression is x - 70.