Answers
To find the answer to this problem, you will need to use the Pythagorean Theorem.
What is the Pythagorean Theorem?
The Pythagorean Theorem is an equation that represents the summation of the sides of a right triangle.
a² + b² = c², where a is the shortest leg of the triangle, b is the longest leg and c is the hypothenuse.
You have been given a (12) and b (16)
First, plug your given information into the equation: 12² + 16² = c²
Next, simplify your equation by squaring both terms:
12² = 144
16² = 256
Then, add these two answers together: 144+ 256= 400
This leaves you with the equation: 400 = c²
To isolate the c as an individual term, take the square root of both sides:
\(\sqrt{400} = \sqrt{c^{2} }\)
The above equation leaves you with the answer 20 = c, which is the hypothenuse
Related Questions
A farm has 8 cows, 28 chickens, 4 pigs, and 12 goats. which ratio is the
greatest?
a. number of pigs to number of chickens
b. number of goats to number of chickens
c. number of cows to number of goats
od. number of pigs to number of cows
Answers
Answer:
C
Step-by-step explanation:
ratio of pigs to chickens = 4/28, which simplifies to 1/12
ratio of goats to chickens = 12/28, which simplifies to 3/7
ratio of cows to goats = 8/12, which simplifies to 2/3
ratio of pigs to cows = 4/8, which simplifies to 1/2
since 2/3 is the largest, the answer is C
The highest BASE drop zone in the world is the Kjerag in Norway, where BASE jumpers make an almost straight down plunge at a height of 3,228 feet. The function
represents the time t (in seconds) that it takes a BASE jumper to fall d feet. How far will a BASE jumper fall in 4. 5 seconds?
feet
Answers
A BASE jumper will fall 324 feet in 4.5 seconds.
What are velocity ?
velocity is a unit of measurement for the Distance an object travels in a
the predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by dividing the total Distance traveled by the journey time.
We can use the given function to find out how far a BASE jumper will fall in 4.5 seconds:
d = 16t²
where d is the distance (in feet) and t is the time (in seconds).
Substitute t = 4.5 into the formula:
d = 16(4.5)²
d = 324
Therefore, a BASE jumper will fall 324 feet in 4.5 seconds.
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Tell whether each of the following is a population, sample, parameter, or statistic.2) Suppose you want to know the average amount of time a student spends on homework in a week. There are toomany students so you survey only 120 of them. Of the 120 students, the average time spent on homework in a week is 6 hours
Answers
Given:
Sample size = 120
Average for the sample = 6 hours
Let's determine the following:
• (a). 6 hours:
6 hours is the average time spent on homework in a week.
Since it is the average time for the sample, we can say 6 hours is the sample mean which represents the statistics.
• (b). The average amount of time spent on homework by all students.
The average time for all students which is the total population will represent the parameter.
• (c). 120 students.
In this situation since 120 students are drawn from the population, it represents the sample size.
• (d). All students.
All students can be said to be the population from which the sample was drawn from.
ANSWER:
• (a). Statistics
,• (b). Parameter
,• (c). Sample
,• (d). Population
How many different ways are there to get 10 heads in 20 throws of a true coin?
Answers
Now how many ways can we get 10 heads? This is 20 choose 10, or (20/10)
This means our probability is (20/10)2(20)=184756/1048576≈.1762
A poster whose area is 180 square inches, has 1 inch margin at bottom and on sides 2 inch margin at the top. What are its dimensions for which printed area is maximized?
Answers
The dimensions for which the printed area is maximized are 16.432 × 10.954 in².
let the height of the poster = x inches
area of the poster = 180 in²
thus, its width is 180/x inches.
The printed area has a height of x - 3 inches due to the 1-inch bottom margin and 2-inch top margin.
The sides have a margin of 1 inch, so the width of the printed area is:
180/x - 2
the area of printed area A is given by the formula of a rectangle,
A = height × width
A = (x-3)(180/x - 2)
A = 180 - 2x - 540/x + 6
the maximized area is when dA/dx = 0
dA/dx = - 2 - 540(- 1/x²) = 0
540/x² = 2
x = √270
hence height = √270 = 16.432 inches,
and width = 180/√270 = 10.954 inches.
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Trapezoid ABCD is translated 5 units left and 4 units down to create trapezoid
A'B'C'D'. Which rule best describes this transformation?
Answers
Answer:
The transformation is 5 units left and 4 units down
It is described as the rule:
(x,y) → (x -5, y - 4)or
T(-5,-4)A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the
inner circle is 50 ft. How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn?
The wheel on the outer rail travels ___ feet farther than the wheel on the inner rail of the track in one turn.
(Round to the nearest tenth as needed.)
Answers
In a single round, the wheel on the outer rail of the track moves 12.56 feet farther than the wheel on the inner rail.
Calculating the distance between the circumferences of the two circles will allow us to determine how much further a wheel on the outer rail moves than a wheel on the inner rail does in a single turn.
The formula provides the circumference of a circle. C = 2πr, where C is the circumference and r is the radius of the circle.
The circumference of the inner circle with a radius of 50 feet is:
C_inner = 2π(50) = 100π ft.
By multiplying the radius of the inner circle by the track's width (2 feet), we can determine the radius of the outer circle:
Radius_outer = 50 + 2 = 52 ft.
The outer circle's circumference is thus:
C_outer = 2π(52) = 104π ft.
By deducting the inner circle's circumference from the outer circle's circumference, we may calculate the difference in distance travelled:
C_diff = C_outer - C_inner
= 104π - 100π
= 4π ft.
To get the numerical value, we can approximate π to 3.14:
C_diff ≈ 4(3.14)
= 12.56 ft.
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How many seconds does it take a bike traveling at 20km/hour to travel 100 meters?
Answers
It takes approximately 18.001 seconds (or approximately 18 seconds) for the bike traveling at 20 km/h to cover a distance of 100 meters.
To determine how many seconds, it takes for a bike traveling at 20 km/h to cover a distance of 100 meters, we need to convert the speed from kilometers per hour to meters per second and then calculate the time.
First, let's convert the speed from kilometers per hour to meters per second.
1 kilometer is equal to 1000 meters, and 1 hour is equal to 3600 seconds.
Speed in meters per second = (20 km/h) * (1000 m/km) / (3600 s/h)
Calculating:
Speed in meters per second = (20 * 1000) / 3600 ≈ 5.556 m/s
Now that we have the speed in meters per second, we can calculate the time it takes to travel 100 meters using the formula:
Time = Distance / Speed
Time = 100 m / 5.556 m/s
Calculating:
Time ≈ 18.001 seconds
Therefore, it takes approximately 18.001 seconds (or approximately 18 seconds) for the bike traveling at 20 km/h to cover a distance of 100 meters.
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two docks are located on an east-west line ft apart. from dock a, the bearing of a coral reef is . from dock b, the bearing of the coral reef is . find the distance from dock a to the coral reef.
Answers
The distance from Dock A to the coral reef cannot be determined without the bearing angles provided in the question.
To find the distance from Dock A to the coral reef, we need the bearing angles from both Dock A and Dock B. However, the bearing angles are not provided in the question, so it is not possible to calculate the distance accurately.
Bearing angles are measurements used in navigation to indicate the direction of an object relative to a reference point. Without the bearing angles, we cannot determine the exact position of the coral reef relative to Dock A.
In order to find the distance from Dock A to the coral reef, we need to know the bearing angles from both Dock A and Dock B. Without this information, it is not possible to determine the distance accurately.
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The length of a rectangle is "a" inches and the width is 3 inches more than its length. find the perimeter and the area
Answers
Answer:
Step-by-step explanation:
Givens
Length = a
Width = a + 3
Formulas
P = 2L + 2w
Area = L * w
Solution
Perimeter
P = 2L + 2w
P = 2*a + 2(a + 3) Remove the Brackets
p = 2a + 2a + 6 Combine
P = 4a + 6
Area
Area = L * w
Area = a (a + 3)
Area = a^2 + 3a
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).
Answers
Answer:
\((f-g)(x)=-x^{2}+2x+8\)
Step-by-step explanation:
\(\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)\)
\(=2x+1-\left( x^{2}-7\right)\)
\(=2x+1-x^{2}+7\)
\(=-x^{2}+2x+8\)
Find b(4) in the sequence given by
b(1) = -5
b(n) = b(n-1) + 9
b(4) =
Answers
Answer: 22
Step-by-step explanation:
I got it right on khan academy
The floor of a rectangular room measures 5m by 4m and the ceiling is 3m from the floor. An ant is at the top of a corner of the room and crawls to the opposite bottom corner of the room. Find the shortest distance it can travel.
Answers
Answer: \(5\sqrt{2}\) m
Step-by-step explanation:
Using the pythagorean theorem, we get that the shortest distance it can travel is \(\sqrt{3^2+4^2+5^2}\) = \(5\sqrt{2}\) m
1. Find the next three term.
3,6,12,24
Answers
Answer:
48 96 and 192
Step-by-step explanation:
you just have to multiply by two
Use the equation of the curve of best fit for the ordered
pairs to predict the y-value when x = 72.
{(63, 50), (57, 68), (59, 55), (48, 71), (54, 72)}
Answers
Based on the equation of the curve of best fit, when x = 72, the predicted y-value is approximately 68.78.
To predict the y-value when x = 72 using the equation of the curve of best fit, we first need to determine the type of function that best fits the given ordered pairs: {(63, 50), (57, 68), (59, 55), (48, 71), (54, 72)}.
One common approach is to perform a regression analysis to find the equation of the curve of best fit. Let's assume a linear regression for simplicity. We can use the least squares method to determine the equation of the line that best fits the given data.
Using a regression analysis, we obtain the equation of the line of best fit:
y = -0.335x + 93.329
To predict the y-value when x = 72, we substitute x = 72 into the equation:
y = -0.335 * 72 + 93.329
Calculating this expression, we find:
y ≈ 68.78
As a result, the anticipated y-value at x = 72, according to the equation of the best fit curve, is roughly 68.78.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Final answer -
\(Area \: of \: figure = 60 \: m {}^{2} \)
hope helpful :D
(x = 3)
y=x+5
How would I solve this problem
Answers
In the diagram shown, jmf is and exterior angle of triangle jmk. Select all of the remote interior angles of jmf
Answers
Help please I will give Brainliest!!!!
Josiah invested $96,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $153,400?
Answers
The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.
What is simple interest?Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.
The principal amount of money invested= $96,000
The rate of interest = 3.5%
The total interest on the principal amount = $153,400- $96,000 = $57,400
The time for this investment= ?
Using the formula for simple interest= p×T×R/100
57,400 = 96,000 ×T× 3.5 /100
Make T the subject of formula;
T = 57,400×100/96,000×3.5
T = 5740000/336000
T = 17 years (approximately)
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HELP PLSSSS!!! To _[blank 1) a number, break it up into parts that you can _[blank 2] together to get the original number. If you know one factor of a number, you can find another using _[blank 3] - Match each blank with the option that correctly fills in that blank. - blank1 blank 3 blank 2 :: factor :: division :: multiplication :: divide :: multiply :: factoring
![HELP PLSSSS!!! To _[blank 1) a number, break it up into parts that you can _[blank 2] together to get](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/21rzohcAZoZxpHzuHfp8JDh1oy0Ui33E.jpeg)
Answers
Answer:
1. Factor
2. Multiply
3. Division
Step-by-step explanation:
A rectangle formed by a 30cm wire , if the length of the rectangle was twice its width , then what is the area of the rectangle ?
A.15 B. 150
C. 300 D. 50
Answers
Answer:
Step-by-step explanation:
D
Find the slope of the line.
Answers
Answer:
4/3
Step-by-step explanation:
rise over run so you count up till you get in line with the other point then count right 3 to get to the point
consider the graph of the function f(x) = log2 x.
Answers
The features of the function g(x) = f(x + 4) + 8 are:
Y-intercept: (0, 10)Domain: (4, ∞)Range: (8, ∞)Vertical Asymptote: x = -4X-intercept: (1, 0)To analyze the features of the function g(x) = f(x + 4) + 8, we need to consider the effects of each transformation applied to the original function f(x) = log2 x.
Translation: f(x + 4)
This transformation shifts the graph of f(x) horizontally to the left by 4 units. It means that every x-coordinate in f(x) is decreased by 4 units.
Vertical Shift: f(x + 4) + 8
After the horizontal translation, the graph is shifted vertically upward by 8 units. This means that every y-coordinate in f(x + 4) is increased by 8 units.
Based on these transformations, we can identify the features of the function g(x):
Y-intercept: The y-intercept of the function g(x) = f(x + 4) + 8 is (0, 10). This means that the graph intersects the y-axis at the point (0, 10).
Domain: The domain of the function g(x) = f(x + 4) + 8 is (4, ∞). The original function f(x) = log2 x has a domain of (0, ∞), but after the horizontal translation of 4 units to the left, the new domain starts from x = 4.
Range: The range of the function g(x) = f(x + 4) + 8 is (8, ∞). The original function f(x) = log2 x has a range of (-∞, ∞), but after the vertical shift of 8 units upward, the new range starts from y = 8.
Vertical Asymptote: The vertical asymptote of the function g(x) = f(x + 4) + 8 is x = -4. This vertical asymptote is the result of the original function f(x) = log2 x having a vertical asymptote at x = 0. After the horizontal translation of 4 units to the left, the asymptote also shifts 4 units to the left and becomes x = -4.
X-intercept: The x-intercept of the function g(x) = f(x + 4) + 8 is (1, 0).
This means that the graph intersects the x-axis at the point (1, 0).
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Find the area of the trapezoid shown below and choose the appropriate result.
5.6 yd
6.2 yd
4 yd
13.4 yd
Answers
Answer:
38 yards²
Step-by-step explanation:
Area of trapeziods= ½(a+b)×height
a and b are the parallel lengths of the trapezoid.
Area of trapeziod= ½ (5.6+13.4)×4= 38 yards²
Therefore, the correct option is B
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7.6 x 103^3 in standard form
Answers
Answer:
8304725.2x
Step-by-step explanation:
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There are 36 carpenters working on a new office building. On a certain day, 30 were present. What percent showed up for work?
Answers
8x-2 < 30 help pls im slow
Answers
Answer: x < 4
Step-by-step explanation: look at the link attached
what is the answer to 4 ( 5 + 3m ) = 128
Answers
Answer:
m=9
Step-by-step explanation:
4(5+3m) =128
5+3m = 32
3m= 27
m= 9
Answer:
9
Step-by-step explanation:
4 ( 5+ 3m) = 128
20 + 12m = 128
12m = 108
m = 9
A square has vertices at (1,1), and (2, -1). Where are the two vertices located? How do you know you have created a square?
Answers
If you graph the point
(1,1)
and
(2,-1)
you see this. Shown below:
A cone with a height of 15 yards has a volume of 475.17yd find the diameter of the cone
Answers
Answer:
11......................
Volume = (1/3) . π . r² . h
475.17 = (1/3) . π . r² . 15
475.17 = 5πr²
r² = 475.17/5π
r² = 30.25
r = √30.25 = 5.5
Diameter = 2r = 2 × 5.5 = 11 yd