The angle of elevation is 18. 43 degrees
What is angle of elevation?Angle of elevation can be described as an angle formed between a horizontal line and the line of sight above the line.
From the information given, we have that;
Length of opposite side = 1 meterLength of adjacent side = 3 metersAngle of elevation = θUsing the tangent identity, we have;
tan θ = opposite/ adjacent
tan θ = 1/ 3
Divide the values
tan θ =0. 3333
Find the tan inverse of the value to determine θ
θ = tan^-1(0. 3333)
θ = 18. 43 degrees
Hence, the value is 18. 43 degrees
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I needed help with this question. -8(-6y-x+5)
Answer: 8x + 48y - 40
Step-by-step explanation:
Rearrange The Terms
-8(-6y - x + 5)
-8(-x - 6y + 5)
Distribute Them
-8(-x - 6y + 5)
=8x + 48y - 40
Which is equivalent to 3 to the root of 8 to the power of 4 1/4 x
?
[tex]\sqrt[3]{8}^{\frac{1}{4}x }[/tex] is equivalent to [tex]\sqrt[12]{8}^{x}[/tex].
What are cube roots?
In mathematics, the cube root of a number x is a number y, so y³ = x. Every nonzero real number has exactly one real cube root and one set of complex conjugate cube roots, and every nonzero complex number has three different complex cube roots.
The given equation is [tex]\sqrt[3]{8}^{\frac{1}{4}x }[/tex]
Solving by using the indices properties,
[tex]=\sqrt[3]{8}^{\frac{1}{4}x }\\={8}^{\frac{1}{3}\frac{1}{4}x}\\=8^{\frac{1}{12}x}\\=\sqrt[12]{8}^{x }[/tex]
Hence the solution will be [tex]\sqrt[12]{8}^{x}[/tex].
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Evaluate the expression for u = –5.
|u| + 2 =
Answer:
7
Step-by-step explanation:
|−5| + 2
= 5 + 2
= 7
Hope this helps! :)
how many pattern block triangles would create 2 trapizoids
It would require 6 pattern block triangles to create two trapezoids.
A collection of arithmetic tools called Pattern Blocks was created in the 1960s. The six shapes serve as both a recreational resource and a math learning aid, helping to build the spatial thinking abilities that are essential to understanding arithmetic. They give kids the opportunity to see how shapes may be combined and broken down into new shapes, among other things, and they introduce them to the concept of tilings. Sets of pattern blocks contain multiples of the same six shapes, square, equilateral triangle, parallelogram, trapezoid, and hexagon.
It would require 6 block triangles to create two trapezoids.
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Danny wants to buy the new sci-fi book for $15.75. Some of the books were signed by the author, and those cost an additional 60%. What will be the new selling price for a signed sci-fi book?
If Danny wants to buy the new sci-fi book for $15.75. Some of the books were signed by the author, and those cost an additional 60%. Then new selling price for a signed sci-fi book is $25.52
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
Danny wants to buy the new sci-fi book for $15.75.
Some of the books were signed by the author, and those cost an additional 60%
We need to calculate 60% of 15.75
Change 60% to decimal value by dividing with 100
60/100=0.6
Now multiply 0.6 with 15.75 to find 60% of 15.75
0.6×15.75
9.45
So 9.45 is the cost of books.
Add 15.75 with 60% amount
$15.75+$9.45
$25.52
Hence the new selling price for a signed sci-fi book is $25.52
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a rectangular cuboid with length 1.2m breadth 80cm and height 12cm(surface area
)
Answer:
I hope this helps you
Step-by-step explanation:
l=80cm,b=40cm,h=20cm
Therefore,
TSA = 2(lb+bh+hl)=2(80×40+40×20+80×20)=11200 cm
2
LSA = 2(l+b)h=2(80+40)20=4800 cm
2
Find the value of x and y
In given rectangle , value of x=8 and y=11.
What is rectangle?
An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. a flat, four-sided shape having straight sides and right-angled internal angles. Additionally, the opposing sides are parallel and the same length.
Here let us take rectangle as ABCD.
Here the given rectangle angle of B is 90°.
We know that angles in each side of rectangle is 90°.
Here ∠C=36°+c
=> 90=36+c
=> c=90-36 = 54°.
Here consider the triangle ABC , sum of all angles in triangle is 180°.
=>4x+4+90+54=180
=>4x+148=180
=> 4x=32
=> x=32/4 = 8.
Now angle A is sum of 4x+4 and 4y+10 is 90°.
=> 4x+4+4y+10=90
=>32+4+10+4y=90
=>46+4y=90
=> 4y=90-46 =44
=> y = 44/4 =11.
Hence the value of x and y is 8 and 11.
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it´s pretty easy. 20 points for whoever does it
Answer:
x = 29
Step-by-step explanation:
[tex]2x - 2 + x + 5 = 90[/tex]
[tex]3x + 3 = 90[/tex]
[tex]3x = 87[/tex]
[tex]x = 29[/tex]
NEED HELP URGENTLY! 40 POINTS FOR ANSWER, HIGH SCHOOL GEOMETRY DILATIONS
explain how to graph the points.
The graph of the polygon with given vertices and its image after a dilation with a scale factor k = 0.25 is as shown below.
In this question, we have been given the coordinates of the vertices of polygon.
We need to graph the polygon with given vertices and its image after a dilation with a scale factor k = 0.25
The coordinates of the polygon are:
J = (4, 0 ), K = (-8, 4), L = (0, -4), M = (12, -8)
The coordinates of the polygon after a dilation with a scale factor k = 0.25 would be:
J' = (1, 0), K' = (-2, 1), L' = (0, -1), M' = (3, -2)
Therefore, the graph of the polygon with given vertices and its image after a dilation with a scale factor k = 0.25 is as shown below.
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if the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers, what is the value of x ?
The value of x when the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers is 9 (Nine).
Median : In data sets having an odd or even number of values, find the median. The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.
Arithmetic mean : The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
Five numbers are x, 7, 2, 16, and 11—are provided.
Average = sum/5 = (x+36)/5
Median = (x+36)/5
The sum of the remaining four numbers is equal to 36/4 = 9
If x = 9, just the average and median will be 9.
middle position in the ascending order
2,7,9,11,16
The Median entry is nine.
Thus, x=9.
Thus, When the median of the five numbers—x, 7, 2, 16, and 11—is equal to the average (arithmetic mean) of the five numbers, the value of x is equal to 9. (Nine).
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Answer:
Step-by-step explanation:
The value of x when the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers is 9 (Nine).
Median : In data sets having an odd or even number of values, find the median. The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.
Arithmetic mean : The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
Five numbers are x, 7, 2, 16, and 11—are provided.
Average = sum/5 = (x+36)/5
Median = (x+36)/5
The sum of the remaining four numbers is equal to 36/4 = 9
If x = 9, just the average and median will be 9.
middle position in the ascending order
2,7,9,11,16
The Median entry is nine.
Thus, x=9.
Thus, When the median of the five numbers—x, 7, 2, 16, and 11—is equal to the average (arithmetic mean) of the five numbers, the value of x is equal to 9. (Nine).
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15 books are placed on a library shelf. 5 of them are paperback. a person takes 3 books at random, what is the probability of getting at least 1 paperback?
The probability of getting at least 1 paperback when a person takes 3 books at random out of 15 books will be 0.736.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.
Here,
Total selection=15C3
selection of none being paperback=10C3
Required probability=(15C3-10C3)/15C3
=(455-120)/455
required probability=0.736
When three books are chosen at random from a group of fifteen, there is a 0.736 percent chance that at least one paperback will be obtained.
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Fill in the missing values to make a valid probability distribution
The missing value for the probability distribution can be completed by option A.
What is probability distribution?
A probability distribution is a mathematical function that calculates the likelihood that various possible outcomes of an experiment will occur.
Main body:
We know that the sum of probability distribution is always 1.
P= P(X=1) + P(X=2) + P(X=4) + P(X=8) + P(X=16) + P(X=32) + P(X=64)
1= 0.1 + 0.05 + 0.25 + 0.25 + 0.05 + P(X=32) + P(X=64)
P(X=32) +P(X=64) = 1-0.7
= 0.3
This condition is satisfied by option A.
hence the answer is option A.
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[tex]5\frac{1}{2} (-4 - -2\frac{1}{5}*2 )[/tex]
On simplifying the given equation [tex]5\frac{1}{2} (-4 - -2\frac{1}{5}*2 )[/tex] we get value 46.2.
To simplify any algebraic expression we use :
The required steps are :
The multiplying factors will eliminate any grouping symbol, such as a brackets.If the terms contain an exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants together.A mathematical expression's order of operation is explained using the BODMAS.
BODMAS stands for :
B - Bracket,
O - Of,
D - Division
M - Multiplication,
A - Addition,
S - Subtraction.
[tex]= 5\frac{1}{2} (-4 -2\frac{1}{5}*2 )\\\\= \frac{11}{2}( -4 -\frac{11}{5} * 2)\\\\= \frac{11}{2}( -4 -\frac{22}{5} )\\\\= \frac{11}{2}( \frac{- 20 - 22}{5} )\\\\= \frac{11}{2}( \frac{- 42}{5} )\\[/tex]
= 462/10
= 46.2
On simplifying the given equation [tex]5\frac{1}{2} (-4 - -2\frac{1}{5}*2 )[/tex] we get value 46.2.
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A pair of fair dice is cast. What is the probabiliy that at least one of the numbers falling uppermost is a 1, given that the sum of the numbers falling uppermost is even?.
The probability that at least one of the numbers falling uppermost is a 1, given that the sum of the numbers falling uppermost is even is 0.3056.
Given that, a pair of fair dice is cast.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
There are six different possible outcomes for a dice, the set (S) of all the outcomes can be listed as follows:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
The probability = 11/36
= 0.3056
Hence, the probability that at least one of the numbers falling uppermost is a 1, given that the sum of the numbers falling uppermost is even is 0.3056.
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han earns $33.00 for babysitting 4 hours. at this rate how much will he earn if he babysits 7 hours explain your reasoning
Answer:
57.75
Step-by-step explanation:
Answer:
He will earn $57.75 for 7hrs
Step-by-step explanation:
For 4hrs= $33
for 7hrs= x
you will cross multiply
4x=$33×7
4x=$231
x=$231/4
x=$57.75
smash as brainliest answer
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week. (1 point) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
The inequality to illustrate the information will be C. (c) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.
What is an inequality?Inequality is a relation that defines a non-equal comparison between the given two numbers or other mathematical expressions.
Let the no. of child bikes is c and the no. of adult bikes be a.
For the building of bikes,
4c + 6a ≤ 120
For the testing of bikes,
4c + 4a ≤ 100
Checking the equations, for given 10 child bikes and 12 adult bikes in the week.
For the building of bikes,
( 4 × 10 ) + ( 6 × 12 ) ≤ 120
40 + 72 ≤ 120
112 ≤ 120 (Inequality satisfied)
For the testing of bikes,
( 4 × 10 ) + ( 4 × 12 ) ≤ 100
40 + 48 ≤ 100
88 ≤ 100 (Inequality satisfied)
Hence, the correct option is C.
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The graph below shows the ascent (rise) and decent (fall) of two different airplanes in the vicinity of the city airport.
What is the initial height of Plane A? _____ Miles
What is the height of Plane B after 40 seconds? _____ Mile
At what time are the planes flying at exactly the same height? _____ Seconds
Using the graph given:
1. 1. Initial height of plane A: 4 miles.
2. Plane B was 1 mile.
3. The time both planes fly at exactly the same height is: 20 seconds.
How to Interpret a Graph?A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.
Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.
Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).
Therefore:
1. The initial height of plane A is at 4 miles.
2. After 40 secs, the height of plane B was 1 mile.
3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.
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graph both lines. first graph line 1 then graph line 2 following the guidelines. line 1: y=-2/3x+5 line 2: Parallel to line 1 with a y-intercept of 0
The equation of line 1 is y = (-2/3)x + 5.
The equation of line 2 is y = (-2/3)x.
The graph is shown below.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Line 1:
y = (-2/3)x + 5 ____(1)
m = -2/3
y-intercept = 5
Line 2:
It is parallel to line 1 so,
m = -2/3
y-intercept = 0
The equation of line 2 is
y = -2/3x ______(2)
We will make the graph for equations (1) and (2) as shown below.
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An in vetment of $1 wa put in a account. Every 8 year the money wa doubled. No additional money wa added to the account. Would the expreion 1x2x2x2x2x2x2 correctly repreent how much wa in invetment account after 48 year?explain
2⁶ is represent power in investment account after 48 year .
What does math power mean?
Base number is the factor that is multiplied by itself, and exponent is the number of times the same base number has been multiplied. Power is defined as a base number raised to the exponent.The amount of money is doubled after 8 years. 48 years is equivalent to 6 periods of 8 years so the investment doubled its value a total of 6 times. That's why you have to multiply 6 times by 2, and the total amount in the investment account after 48 years would be then
2 * 2 * 2 * 2 * 2 * 2 = 2⁶
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13.) a man left legacies to his three sons and to a hospital, amounting in all to $1320. if he had left the hospital legacy to his first son, that son would have received as much as the other two sons together. if he had left it to his second son, he would have received twice as much as the other two sons together. if he had left the hospital legacy to his third son, he would have received then thrice as much as the first son and second son together. find the amount of each legacy.
The amount of each legacy is 55 , 275 , 385 , 605.
What is linear equation ?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
Calculationequations:
a + b + c + h = 1320
a+h = b+c
b+h = 2(a+c)
c+h = 3(a+b)
---------------------
Rearrange:
a + b + c + h = 1320
a - b - c + h = 0
2a- b +2c - h = 0
3a+3b -c - h = 0
--------------------------
I used my TI-84 to get:
a = 55
b = 275
c = 385
h = 605
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-2 ≤4-3a ≤ 13 solve the inequality
The inequality is 2 ≤ a ≤ 3.
What is inequality ?
The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. The equal sign is substituted between by the less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. It's not always necessary to balance an equation in mathematics by using the "equal to" symbol on both sides. When something is more than or less than another, it can sometimes be said that the two are not equal.
-2 ≤4-3a ≤ 13
-2 -4≤-3a ≤ 13-4
-6 ≤-3a ≤ 9
-6/3 ≤-a ≤ 9/3
2 ≤ a ≤ 3
Hence the inequality will be 2 ≤ a ≤ 3.
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E=5s^2. If s is doubled, what happens to E?
I assume it stays the same
True Or False
The solutions of a quadratic equation represent the y-intercept of the corresponding function
In which triangle is the measure of the unknown angle, x, equal to the value of sinâ€"1(startfraction 5 over 8.3 endfraction)?
Answer:
A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5.
Answer: B
Step-by-step explanation:
(1 point) suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at college. the amount spent has a normal distribution with standard deviation $33. (a) how large should the sample be if the margin of error is to be less than $4?
48630 is large should the sample be if the margin of error is to be less than $4 .
What does the term "margin of error" mean?
A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results. Simply put, you can determine how unpredictable data and research results are by looking at the margin of error.Margin of Error = Z*Stdev/sqrt(n)
4 <= 0.90* 33/sqrt(n)
n >= (0.90* 33/2)^4 = 48630.17 OR 48630
So, n should be atleast 48630 so that margin of error is within $4
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can someone help me asap
ASK ONE QUESTION!!
But to help you with one, the problem is.... h(x) + x with power of 2 - 5x
ANSWER= x(h+x−5)
SOLUTION= x(x+h−5) you had this equation and then you factor out x
find the minimum and maximum of values of z=x+2y (if possible) for the following set of constraints.
2x+y<= 20
10x+y>= 36
2x+5y>= 36
Step-by-step explanation:
Answer:
z(max) = 16
z(min) = -24
Step-by-step explanation:
2x - y = 12 multiply by 2
4x - 2y = 24 (1)
4x + 2y = 0 add equations
8x = 24
x = 3
4(3) + 2y = 0
y = -6
so (3, -6) is a common point on these two lines
z = 2(3) + 5(-6) = -24
4x - 2y = 24 (1)
x + 2y = 6 add equations
5x = 30
x = 6
6 + 2y = 6
y = 0
so (6, 0) is a common point on these two lines
z = 2(6) + 5(0) = 12
4x + 2y = 0 multiply by -1
-4x - 2y = 0
x + 2y = 6 add equations
-3x = 6
x = -2
-2 + 2y = 6
y = 4
so (-2, 4) is a common point on these two lines
z = 2(-2) + 5(4) = 16
What is the equation of the line that passes through (4, -1) and (-2, 3)?
2x + 3y - 5 = 0
2x - 3y - 5 = 0
-2x + 3y - 5 = 0
Help fast!!!!!!!
Which expression can be placed on the right side of the equals sign to form an equation
6+2^4 =
A. 7+3•5
B.3•10+2
C.7^2
D.4•10^3+96
Option (a) 7+3•5
Step-by-step explanation:
[tex]{ \purple{ \tt{6 + {2}^{4}}}} [/tex]
[tex]{ = \purple{ \tt{6 + 2 \times 2 \times 2 \times 2}}}[/tex]
[tex]{ = \purple{ \tt{6 + 16}}}[/tex]
[tex]{ = \purple{ \tt{22}}}[/tex]
_________________________________
[tex]{ \red{ \sf{7 + 3 \times 5}}}[/tex]
[tex]{ = \red{ \sf{7 + 15 }}}[/tex]
[tex]{ = \red{ \sf{22}}}[/tex]
Therefore,
[tex]{ \green{ \sf{6 + {2}^{4} = 7 + 3 \times 5}}}[/tex]
[tex]{ \green{ \sf{22 \: \: \: \: \: \: \: = \: \: \: \: \: \: 22}}}[/tex]
how do you factor the expression 51xy − 34xy2
The simplified expression is 17xy( 3 - 2y).
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
51xy − 34xy²
Now, factorizing
51xy= 3 x 17 × x × y
34xy² = 2 ×17 × x × y ×y
So, the simplification can be
51xy − 34xy²
= 3 x 17 × x × y- 2 ×17 × x × y ×y
= 17xy( 3 - 2y)
Hence, the simplified expression is 17xy( 3 - 2y).
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