The area of the triangle is given by:(1/2) × base × height A = (1/2) × a × bA = (1/2) × 69.2782 × 12.1296A = 419.7567Therefore, the area of the triangle is approximately 419.76 (rounded to the nearest hundredth).
We are given an acute angle and the hypotenuse of the right triangle, Ang 010 ren an angle using trigonometry. Let the other two sides be a and b with the opposite side to angle A as b and adjacent side to angle A as a. We will use trigonometric ratios to solve for the unknown sides and then calculate the area of the triangle.Based on the given values, we have:hypotenuse, c
= 70 angle A
= 11°We can calculate the adjacent side using cos ratio which is given as:cos(A)
= adjacent side / hypotenuse cos(11°)
= a / 70a = 70 cos(11°)a
= 69.2782
We can calculate the opposite side using sin ratio which is given as:sin(A) = opposite side / hypotenuse sin(11°)
= b / 70b
= 70 sin(11°)b
= 12.1296.
The area of the triangle is given by:
(1/2) × base × height A
= (1/2) × a × bA
= (1/2) × 69.2782 × 12.1296A
= 419.7567
Therefore, the area of the triangle is approximately 419.76 (rounded to the nearest hundredth).
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ11
Solve for m angleUVW if m angle UVX = 40° and m angle XVW = 68°
Answer:
The measure of the obtuse angle marked UVW is 108
Step-by-step explanation:
Here, we want to get the measure of the angle marked UVW
To get this, we refer to the given diagram
From the diagram;
UVW = UVX + XVW
UVW = 68 + 40
UVW = 108 degrees
Find x and y.
PLEASE HELP
Answer:
Step-by-step explanation:
If a line is parallel to a side of a triangle, then the intersected sides are divided proportionally
4/2=y/3
2=y/3
y=2*3 = 6
next,
If the angles of one triangle are equal to the angles of another triangle, then the triangles are said to be equiangular.
(4+2)/4=6/x
6/4=6/x
x=4
An electronics store has determined that 45% of its customers buy a wide-screen television. describe the model that you could use to find the experimental probability that the next three television-buying customers will buy a wide-screen television
The model that you could use to find the probability is a binomial model with parameters n = 3, X = 3 and p = 0.45.
For each TV bought, there are only two possible outcomes, either it is wide screen, or it is not. The probability of a TV bought being wide screen is independent of any other TV, hence the binomial distribution is used to solve this question.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
In this problem:
45% of its customers buy a wide-screen television, hence p = 0.45.The experimental probability that the next three television-buying customers will buy a wide-screen television is P(X = 3) when n = 3.More can be learned about the binomial distribution at https://brainly.com/question/24863377
Help!
This is for Patterns, Functions and Algebra!
Answer:
im pretty sure the Answers b, but i've never done this before so sorry if its not
Step-by-step explanation:
There are 8 fish in a fish tank
2 drowned and three died, how many fish are left in the tank?
Answer: 8
Step-by-step explanation:
Fish cannot drown
Three died but they are still in the tank
Write each number in scientific notation.
160,000,000
29,830
0.000350
Please answer asap!!
Thank you
Answer:
one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths
Step-by-step explanation:
Each of the numbers written in word form instead of standard form. Hope it helps!
Can someone please help me with this question? " For what value of x makes the equation 4x-3.5 (2x-8) = 40 true"
Answer:
-4
Step-by-step explanation:
4x-3.5(2x-8)=40
4x-7x+28=40
-3x=40-28
-3x=12
x= -4
8. P(-3, -7) and (3,-5) fine the midpoint
Answer: 0,-6
Step-by-step explanation:
Midpoint Formula x1+x2/2, y1+y2/2
-3+3= 0/2=0 -7+(-5)= -12/2 = -6
0,-6
help me please…………………
Answer:
look at the photo.............
H
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answer:
what is this? ahdhdjxkdjjshsysusiiaiajsjjdyxc
Can someone help me?
Answer:
D
Step-by-step explanation:
the y intercept is 3 positively so that marks out C already also B.
It is not a because if you go up one(0,1) and to the left three(-3,0) metric units that is the exact slope D describes.
Also if you want to take a more precise picture use the snip it tool on windows desktop
Answer:
The 4th one
Step-by-step explanation:
The answer choices that are presented to you are in a form called slope-intercept form, and its written in the form of y = mx+b, where m is the slope, and b is the y-intercept. Knowing this allows you to easily find the answer to this.
Since the point where the line hits the y-axis is 3, the b must be 3.
Then you only have to look at equations 1 and 4.
However, the slope of this line is evidently between 0 and negative 1, and so the answer must be the 4th one.
the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? the answer should be typed as a decimal with 4 decimal places.
This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
Using the normal distribution formula, we can calculate the z-scores for 200 and 400 shoppers:
z(200) = (200 - 505) / 115 = -2.65
z(400) = (400 - 505) / 115 = -0.91
Next, we can use a standard normal distribution table or calculator to find the area between these two z-scores. The probability is:
P(-2.65 < z < -0.91) = 0.1678
Therefore, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
To calculate the probability that there are between 200 and 400 shoppers at the grocery store, we first need to determine the z-scores for those values. We can then use a standard normal distribution table or calculator to find the area between those two z-scores. The result is the probability of interest. In this case, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
The probability that there are between 200 and 400 shoppers at the grocery store is 0.1678. This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
To know more about normal distribution visit:
brainly.com/question/15103234
#SPJ11
1. A lifeguard marks off a rectangular swimming area at the beach with 200m of rope. What is the greatest area of water she can enclose?
Answer:
20l 10w or it could be the other way around
The greatest area of water she can enclose is 2500 m².
A rectangle is a 2-dimensional quadrilateral with four right angles.
Perimeter of a rectangle = 2 x (length + width)
Area of a rectangle = length x width
In order to determine the greatest area of water the lifeguard can enclose, we have t determine the sum of the dimensions.
200m = 2( l + b)
l + b = 200m / 2
l + b = 100m
The second step is to determine the pair of dimensions that add up to 100.
90 x 10 = 900
80 x 20 = 1600
70 x 30 = 2100
60 x 40 = 2400
50 x 50 = 2500
To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958?referrer=searchResults
Carson needs 3 quarts of water to make fruit punch, but has only a 1-cup measuring cup. She knows there are 2 cups in 1 pint, and 2 pints in 1 quart. How can Carson find the number of cups of water she needs to make the punch.
FAST
Answer:
12
Step-by-step explanation:
3 quarts is 6 pints
6 pints is 12 cups
if there is 4 cups in a quart then 4x3=12
Pedro's family took a road trip to Niagara Falls. Pedro fell asleep 74% of the way a through the trip. If Pedro fell asleep after they had travelled 666 miles, what was the
total length of the trip?
Divide miles traveled by percentage.
666/0.74 = 900
total length is 900 miles
how many triangles with positive area are there whose vertices are points in the $x,y$-plane whose coordinates are integers $(x,y)$ satisfying $1\le x\le 4$ and $1\le y\le 4$?
We can solve this problem by using casework on the number of collinear points in each triangle.
If all three points are collinear, the triangle has zero area, so we want to count triangles with no more than two collinear points.
Case 1: Three points in a row (horizontal)
There are $4$ rows of points, and each row has $\binom{3}{1} = 3$ ways to choose a set of $3$ points. Therefore, there are $4 \cdot 3 = 12$ triangles with three points in a row.
Case 2: Three points in a column (vertical)
This case is the same as Case 1, so there are also $12$ triangles with three points in a column.
Case 3: Two points in a row, one point in a different row
There are $4$ rows of points, and each row has $\binom{3}{2} = 3$ ways to choose a set of $2$ points. For each choice of two points, there are two other rows that contain the third point of the triangle. Therefore, there are $4 \cdot 3 \cdot 2 = 24$ triangles in this case.
Case 4: Two points in a column, one point in a different column
This case is the same as Case 3, so there are also $24$ triangles with two points in a column.
Case 5: Two points in a diagonal, one point not on the diagonal
There are two diagonals that contain $4$ points each. Each diagonal has $\binom{4}{2} = 6$ ways to choose a set of $2$ points. For each choice of two points, there are $2$ other points that can be paired with it to form a triangle. Therefore, there are $2 \cdot 6 \cdot 2 = 24$ triangles in this case.
Case 6: All other triangles
All other triangles have one point in each of three different rows, or one point in each of three different columns. There are $\binom{4}{3} = 4$ ways to choose $3$ rows, and each row has $4$ points, so there are $4^3 = 64$ triangles with one point in each of three different rows. The same is true for triangles with one point in each of three different columns. Therefore, there are $2 \cdot 64 = 128$ triangles in this case.
Putting it all together, the total number of triangles with positive area is $12+12+24+24+128=\boxed{200}$.
Learn more about positive area triangles :
https://brainly.com/question/30181905
#SPJ4
A motorcycle that regularly sells for 1,450 was discounted by 40% off
Answer:
$870.00 is the motorcycle price after a 40% discount
Step-by-step explanation:
discount = original price x discount % / 100
discount = 1450 x 40 / 100
discount = 1450 x 0.4
discount = $580.00
Final Price = Original Price - Discount
Final Price = 1450 - 580
Final Price = $870
What is the vertex of angle 6?
choose your answer...
A
B
E
m
C
D
Answer:
A
Step-by-step explanation:
The vertex of an angle is the common endpoint of two rays that form the angle.Vertex of angle 6 can be described as:
ACorrect answer choice is A
What is Hope's hourly wage?
A. $18.00
B. $10.00
C. $11.00
D. $5.00
Answer:
D. $5.00 because when you look at the graph each hour five dollars is being added
Two fair, six-sided dice are rolled. What is the probability that the sum of the two numbers showing is between $3$ and $11$, inclusive
The probability that the sum of two fair, six-sided dice is between 3 and 11 (inclusive) is approximately 0.7222 or 72.22%. The total number of favorable outcomes is 31 + 15 = 46.
To find the probability that the sum of two fair, six-sided dice is between 3 and 11 (inclusive), we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
The possible outcomes for rolling two dice can be represented by a sample space of 36 equally likely outcomes, as each die has 6 possible outcomes (1, 2, 3, 4, 5, 6).
We can calculate the favorable outcomes by considering the combinations of two numbers that sum to a value between 3 and 11.
To simplify the calculation, we can break down the favorable outcomes into two cases:
1. The sum is between 3 and 7 (inclusive): In this case, we have the following favorable outcomes:
- (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)
The total number of favorable outcomes in this case is 31.
2. The sum is between 8 and 11 (inclusive): In this case, we have the following favorable outcomes:
- (2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6)
- (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3)
- (6, 4), (6, 5), (6, 6)
The total number of favorable outcomes in this case is 15.
Therefore, the total number of favorable outcomes is 31 + 15 = 46.
Since there are 36 possible outcomes in the sample space, the probability of the sum of two dice being between 3 and 11 (inclusive) is given by:
P(sum between 3 and 11) = favorable outcomes / total outcomes = 46 / 36 = 23 / 18 ≈ 0.7222.
Hence, the probability that the sum of the two numbers showing is between 3 and 11 (inclusive) is approximately 0.7222, or 72.22%.
Learn more about probability here:
brainly.com/question/31828911
#SPJ11
Let S be a stack of size n+1. Starting with the stack bearing first n natural numbers (highest number on top of stack), three elements are popped if top of stack is even, and one element (the number next to the one in top of stack) is pushed if top of stack is odd. These operations continue until the stack is empty or there are insufficient number of elements so that three pops cannot be done. (i) How many elements will be finally left in stack when three elements cannot be further popped out due to insufficient elements in the stack? (ii) Represent the number of push and pop operations required until end of the given process as functions of n. [1+3] (b) A single array A[1… MAXSIZE ] is used to implement two stacks. The two stacks grow from opposite ends of the array. Variables top1 and top2 point to the location of the topmost element in stack starting from location 1 and stack starting from location MAXSIZE respectively. If the space is to be used efficiently, what is the condition for "stack full" for any of these two stacks? (c) Implement a stack (and its functions: push and pop) using one or more queues and functions defined on queue (enqueue and delqueue). Consider the situation where no other data structure like arrays, linked list is available for usage.
The number of elements finally left in the stack when three elements cannot be further popped out due to insufficient elements in the stack is 2.
The number of push and pop operations required until the end of the given process can be represented as follows:
For n even: n/2 pops and n/2 pushes.
For n odd: (n+1)/2 pops and (n-1)/2 pushes.
When there are insufficient elements in the stack to perform three pops, it means that there are either two or one element(s) left. If there are two elements, we can pop them out and end up with an empty stack. If there is only one element left, it cannot be popped out as there are not enough elements for the three-pop operation. Therefore, in such a case, two elements will be finally left in the stack.
The number of push and pop operations can be determined based on the parity of n. If n is even, it means that we have an equal number of even and odd numbers in the stack. In this case, we can perform n/2 pops and n/2 pushes since every even number will be popped out (three at a time) and replaced with an odd number.
If n is odd, we have one extra odd number in the stack compared to the even numbers. Here, we perform (n+1)/2 pops and (n-1)/2 pushes. The extra odd number ensures that after performing the necessary number of pops and pushes, we are left with two elements instead of one.
These formulas for push and pop operations provide a way to determine the number of steps required to complete the given process based on the size of the stack.
Learn more about:Elements
brainly.com/question/31950312?
#SPJ11
what is 9.7 as a fraction ?
Answer:
Step-by-step explanation:
9.7 = \(\frac{97}{10}\)
Count the number of places in the decimal number after the decimal point.
Here , there is only one place.
So, multiply and divide by 10. 9.7 *10/1*10 = 97/10
help please! what does x equal
Answer: 52
Step-by-step explanation:
(4 + 5) + 12 = 4 + (5 + 12) Are the expressions equivalent? YES or NO 2) If yes, state the Property. If no, explain.
Answer:
Yes, they are the same.
Step-by-step explanation:
Associative Property
you paid $76.70 for a meal in a restaurant. If the original bill was $65, what percent tip did you leave for your server? Please Explain!
Answer:
18%
Step-by-step explanation:
65 + x = 76.70
x = 11.70
11.70/65 = 0.18 or 18%
Given \tan A=\frac{11}{60}tanA=
60
11
and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.
Answer: 60/61
Step-by-step explanation:
Which of the following are solutions to the inequality 5 < X ?
The inequality:
\(\begin{gathered} 55 \end{gathered}\)Basically tells us that the solutions will be the numbers strictly greater than 5, so:
\(\begin{gathered} 3>5 \\ False \\ ---- \\ 8>5 \\ True \\ ---- \\ 10>5 \\ True \\ ---- \\ 6>5 \\ True \end{gathered}\)Therefore, the solutions are:
8, 10, 6
what are the answer to these questions
( 1 ) The y-intercept for the first graph is 50. The correct option is B.
( 2 ) The y-intercept for the second graph is 12. The correct option is C.
( 3 ) The y-intercept for the third graph is 0. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
The y-intercept of the first graph:-
y = mx + c
m= ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 350 - 50 ) / ( 4 ) = 75
y = mx + c
50 = 75 x 0 + c
c = 50
The y-intercept of the second graph:-
y = mx + c
m= ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 30 - 12 ) / ( 4 ) = 4.5
y = mx + c
12 = 4.5 x 0 + c
c = 12
The y-intercept of the third graph:-
y = mx + c
m= ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 6 - 3 ) / ( ( 8 - 4 ) = 3 / 4
y = mx + c
3 = ( 3 / 4) x 4 + c
c = 0
Therefore, the y-intercept of all the graphs is calculated above.
To know more about coordinate geometry follow
https://brainly.com/question/28362054
#SPJ1
The table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to find an equation of the line of best fit for the data. Round each value to the nearest hundredth.
The line of best fit is y = _
(I need this by 11 pm please)
Answer:
By rounding up of the constant and coefficient terms, we have;
The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x
Step-by-step explanation:
The table for the data on the number of movie admissions each year is presented as follows;
Year, x \({}\) Admission, y
0 \({}\) 1.24
2 \({}\) 1.26
4 \({}\) 1.39
6 \({}\) 1.47
8 \({}\) 1.49
10 \({}\) 1.57
Using a graphing calculator, we have that the line of best fit is given by the following equation;
y = 1.23047619048 + 3.45714285714 × 10⁻²·x
Which is approximately, y = 1.23 + 3.46 × 10⁻²·x
(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:
The value x-coordinates which is required is found out to be as Q = -19.41 and +19.41.
The given values are,
radius , r = 35 feet
speed of ball = 11 ft./sec
location of the cup = (0, 0)
starting location the ball = (-40. -50)
In order to find the possible x-coordinates of Q,
The coordinates of the rightmost edge of the golf course = (35, 0)
slope = m = ( y2 - y1)/ ( x2 - x1)
now , the equation for a circle is known as , (x - h)² + (y - k)² = r²
and the center of the course is given as , (h, k) = (0, 0)
Therefore the equation becomes (x - 0)² + (y - 0)² = x² + y² = 35²
equation of tangent , y = -3x/2
putting this value in the tangent = x² + ( -3x/2 )² = 35²
13x² /4 = 35²
x = √ ( 35² x 4 )/ 4 = 35²
x = 70/13√ 13 = 19.41
Therefore, the coordinates of Q are found out to be as -19.41 and +19.41
To learn more about circles
brainly.com/question/29142813
#SPJ4