The value of GH in the right angle triangle, given FH and Angle FHG is 22.46 inches.
How to find the value of GH ?Since we have the adjacent side (FH) and want to find the hypotenuse (GH), we can use the cosine function.
cos(35°) = adjacent side (FH) / hypotenuse (GH)
We know that FH = 18.4 in. So, we can write the equation as:
cos(35°) = 18.4 / GH
GH = 18.4 / cos(35°)
GH = 18.4 / 0.81915
= 22.46 inches
So, the length of GH, the hypotenuse, is approximately 22.46 inches.
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there are 30 candies in a bag and you ate 9 of them what percentage did you eat?
Answer:
2.7% i think sorry
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
total candies=30
candies i ate=9
now,
% of candies i eat=9×100%/30
=30%
4 is 4% of what number?
Hello!
4 is 4% of 100
Step-by-step explanation:
4% is .o4 in decimal
.04 x = 4 where 'x' is the number
x = 4/.04 = 100
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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What is the x and y intercept of 10x-13y=0?
Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
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Complete question
Find the measure of each exterior angles of rectangle?
Step by step
please help asap! it’s area and perimeter of rectangles and parallelograms!
Answer: I don’t know how to solve the area of these shapes. But I know how to find the peeimeter Of this shape.
perimeter=P
finding the P of any shape is like finding the P of a square or rectangle. Is to add up all the sides up like for the 8th one it would be 10+20+20+10 or (10x2)+(20x2)
hope this helps!
I need help with this question.
1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)
2. f(1)/f(0) = 1.15.
3. f(2)/f(1) = 1.149.
What function f determines the height of the beanstalk?Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.
Computation of the value of the following ration:i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:
f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]
f(1)/f(0) = 1.15/1
f(1)/f(0) = 1.15
ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:
f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]
f(2)/f(1)= (1.3225) / (1.15)
f(2)/f(1) = 1.149
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PLEASEEEEEEEEEEEEEEEE
HELPPPPPPPPPPPPP ITS A BIG GRADEEEE
Alyssa's test scores are listed below
74, 86, 94, 82
Part A: Calculate the mean AND median of the given data. Show all your work. (1 points)
Part B: Alyssa just finished taking a fifth test. What score must she earn on her fifth test in order to have at least an 85% test average. Show all your work. (2 points)
Part C: How was the median affected by the addition of the fifth test score? (1 point)
The mean and median of the given data is 84 and 84, in order to have 85% as average, Alyssa should score 89 marks and we cannot say anything about how the median is affected.
Part A: Finding the mean of the data,
Mean = (74 + 86 + 94 + 82) / 4 = 336 / 4 = 84
Therefore, the mean score is 84. To find the median, we first need to put the scores in order from smallest to largest, 74, 82, 86, 94. Since we have an even number of scores, the median is the average of the two middle scores. In this case, the two middle scores are 82 and 86, so we take their average,
Median = (82 + 86) / 2 = 168 / 2 = 84
Therefore, the median score is 84.
Part B: Let x be the score Alyssa needs to earn on her fifth test. To find the score she needs to maintain an 85% average, we can set up the following equation,
(74 + 86 + 94 + 82 + x) / 5 = 85
Multiplying both sides by 5, we get,
74 + 86 + 94 + 82 + x = 425
Adding up the first four scores, we get,
74 + 86 + 94 + 82 = 336
Substituting in equation,
336 + x = 425
Subtracting 336 from both sides, we get,
x = 89
Therefore, Alyssa needs to earn at least an 89 on her fifth test to maintain an 85% average.
Part C: The median is the middle score when the data is arranged in order. Since the fifth test score has not yet been added, the median is still 84. So, we cannot really say anything about the median.
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The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
Calculate the cdf F(x).
x 0 1 2 3 4 5 6
f(x)
Use the graph to calculate the probabilities of the events given below.
(a) {at most three lines are in use}
(b) {fewer than three lines are in use}
(c) {at least three lines are in use}
(d) {between two and five lines, inclusive, are in use}
The probability of the event between two and five lines, inclusive, are in use is 0.85.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that,
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
a) At most three lines are in use
Here we need to find the probability for x≤3.
P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)
= 0.12+0.18+0.20+0.20
= 0.70
b) Fewer than three lines are in use
Here we need to find the probability for x<3.
P(x<3)=P(x=0)+P(x=1)+P(x=2)
= 0.12+0.18+0.20
= 0.50
c) At least three lines are in use
Here we need to find the probability for x≥3.
P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)
= 0.20+0.20+0.07+0.03
= 0.50
d) Between two and five lines, inclusive, are in use
Here we need to find the probability for 2≤x≤5.
P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)
= 0.18+0.20+0.20+0.20+0.07
= 0.85
Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.
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Larry and his brother wanted to put new carpet down in threerooms in his house. The three rooms measured 10' x 12, 13' x 15,and 12' x 12'. If the carpet Larry wants to use is $25.56 a sq. yd.and the roll of padding is $99 for a 30 sq.yd. roll, answer thefollowing questions. Remember that 1 square yard = 9 square feet.1. Total square footage to be covered with carpeting would besquare feet.2. How many square yards would that be?sq.yd.3. Based on the price of $25.56 a sq.yd., what would the total costbe for the carpeting? $4. To make sure Larry has enough padding, how many rolls wouldhe have to buy?What would that cost? $5. What would the total cost of the carpeting job be includingcarpet and padding? $
Find the area of each room and then add the three areas.
\(\begin{gathered} 10\times12=120 \\ 13\times15=195 \\ 12\times12=144 \\ \\ 120+195+144=459 \end{gathered}\)The total square footage to be covered is 459.
Part 2)Since each square yard has 9 square feet, divide the square footage by 9 to find how many yards is that equal to:
\(\frac{459}{9}=51\)Then, the area is equal to 51 square yards.
Part 3)The cost for each square yard is $25.56. Multiply that amount by 51 to find the total cost:
\(25.56\times51=1303.56\)The total cost for the carpeting is $1303.56.
Part 4)Each roll of padding has 30 square yards. Since 51 yards must be covered, and two rolls would yield 60 square yards, then, the minimum amount of rolls needed is 2.
The cost for 2 rolls would be 2*$99 = $198.
Part 5)Add the cost of the two rolls of padding and the carpeting job to find the total cost:
\(\text{ \$}198+\text{ \$}1303.56=\text{ \$}1501.56\)Then, the total cost of the carpeting job including the carpet and padding would be $1501.56.
Therefore, the answers are:
Part 1) 459 square feet.
Part 2) 51 square yards.
Part 3) $1303.56
Part 4) 2 rolls for $198
Part 5) $1501.56
Heeeeeeeeeeeeeeeelp!
Answer:
117
Step-by-step explanation:
Solve the equation for a.
-2(a - 3) = 12
50 Points
Solve for x. Round to the nearest tenth of a degree, if necessary.
The value of x obtained using the inverse trigonometric ratios for tangent is x ≈ 51.1°
The tangent of an angle, θ, tan(θ) in a right triangle is the ratio of the length of the side adjacent to the angle to the length of the side opposite to the angle.
Mathematically; tan(θ) = Opposite/Adjacent
The details in the question includes;
The shape of the figure = A right triangle
The length of the side adjacent to the angle, ON x = 7.5
Length of the side opposite to the angle, NM x = 9.3
The measure of the angle x° can be found using the trigonometric ratio for tangent as follows;
tan(x) = NM/ON
Therefore;
tan(x) = 9.3/7.5
x° = arctan(9.3/7.5) ≈ 51.1°
x ≈ 51.1°
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Draw an angle in standard position with the given measure. 8/3 π
The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
What is the standard position of angles?
Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.
To draw an angle in standard position with measure 8/3 π, follow these steps:
Start with the positive x-axis.
Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.
Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.
The resulting angle will have a measure of 8/3 π and will look like the following:
|
|
--------*-----------
|
|
Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
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The sum of twice a number, m, and 7 is equal to 15 less than the number,
m. What is the value of m?
Answer:
2m+7 = m-15
2m-m+7 = -15
1m = -15-7
1m = -22
m = -22
The given expression represents the area. Find the side length of the square. 49x + 70x + 25
Answer:
(7x+5) is the length of the square
Step-by-step explanation:
(a+b)^2
= a^2 + 2ab + B^2
Substituite values in and you will find this
N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R
Answer:
60°
Step-by-step explanation:
In similar triangles, the corresponding angles are congruent.
∠O = R
O = 70°
In ΔOMN,
∠O + ∠M + ∠N = 180 {Angle sum property of triangle}
70 + 50 + Ф = 180
120 + Ф = 180
Subtract 120 from both sides,
Ф = 180 - 120
Ф = 60°
hey, can I have some help with this? I don't get it so let me know if you have an explentation. Thanks :)
Answer: 250
Step-by-step explanation:
This problem is attempting to explain the distributive property to you.
The distributive property states that if you have the numbers a, b, and c:
\((a*c) + (b*c) = c * (a+b)\)
In your specific case, this would look like this:
\((23+37) * 4\frac{1}{6}\)
\(60 * \frac{(4*6)+1}{6}\)
\(60*\frac{25}{6}\)
To simplify, we factor a 6 out of the equation:
\(10*25 = 250\)
A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two even numbers
Answer:
1/4
Step-by-step explanation:
The combinations where both numbers are even are:
2, 2
2, 4
2, 6
4, 2
4, 4
4, 6
6, 2
6, 4
6, 6
There's a total of 9 combinations. So the probability is 9/36 = 1/4.
help me please!! its easy but im stuck
The graph that represents the situation is given as follows:
First graph.
How to obtain the graph of the function?The initial position of the student is at home, which means that the intercept must be different of zero, already defining that the correct graph is either the first graph or the second graph.
Then the stops to talk to the friend, which is represented by the horizontal line in the graph, as the position is constant.
Finally, he arrives at the school, at a slower rate than before, meaning that the first graph is the correct graph for this problem, as the inclination after the horizontal line is less than the inclination before the horizontal line.
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
What is x in the equation?
Answer:
x = 15
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is
\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )
10x = 25(21 - x)
10x = 525 - 25x ( add 25x to both sides )
35x = 525 ( divide both sides by 35 )
x = 15
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
Please help Me I Make You an Brainalist
Answer:
1.) 12
2.) 36
3.) 36
4.) 36
5.) 72
6.) 72
7.) 120
8.) 30
Step-by-step explanation:
You're welcome make me brainliest :)
Answer: LCM=least common multiple so
Step-by-step explanation: 1)12
2)18 3)36 4)36 5)72 6)72 7)120 8)30
Solve for x 2x+3≥7 OR 2x+9>11
Answer:
X is greater than or equal to 2 or X > 1
Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (3,1). slope= 4/3
Answer:
y = 4/3x - 3
Step-by-step explanation:
Use the slope intercept equation, y = mx + b, where m is the slope and b is the y intercept:
Plug in the point given and the slope to find b:
y = mx + b
1 = 4/3(3) + b
1 = 4 + b
-3 = b
Then, plug this and the slope into the equation:
y = 4/3x - 3 will be the equation
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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Find the equation that represents the proportional relationship in this graph, for y in terms of x.
Answer:
y = 0.4 x
Step-by-step explanation:
Select all the solutions to the inequality 2(7x + 1) < -26
_
A. -2
B. 9
C. -7
D. 4
Answer:X<-2
Step-by-step explanation:
7x+1<-13
7x<-13-1
7x<-14
Answer:
Step-by-step explanation:
the answer is A: x<-2