Answers
Answer:
17
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
c^2 = 289, c = 17
8, 15, 17 is also a common Pythagorean triple.
Related Questions
A trebuchet launches a projectile on a parabolic arc from a height of 47 ft at a velocity of
40 ft/s. Using the function h(t) = -16t2 + vt + h0 , determine when the projectile will first
reach a height of 60 ft and how many seconds later it will again be at 60 feet.
a. What is the apogee of the projectile?
Answers
To determine when the projectile will first reach a height of 60 ft, we can set the function h(t) equal to 60 ft and solve for t:
h(t) = -16t^2 + vt + h0
60 = -16t^2 + 40t + 47
Now, let's solve this equation:
-16t^2 + 40t + 47 = 60
-16t^2 + 40t - 13 = 0
We can solve this quadratic equation using the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 40, and c = -13. Substituting these values into the quadratic formula, we get:
t = (-40 ± √(40^2 - 4(-16)(-13))) / (2(-16))
t = (-40 ± √(1600 - 832)) / (-32)
t = (-40 ± √(768)) / (-32)
t = (-40 ± √(32 * 24)) / (-32)
t = (-40 ± 4√2) / (-32)
Simplifying further:
t = (40 ± 4√2) / 32
t = 5/4 ± √2/4
Therefore, the two possible times when the projectile will first reach a height of 60 ft are:
t₁ = 5/4 + √2/4
t₂ = 5/4 - √2/4
To find how many seconds later it will again be at 60 feet, we need to determine the time difference between the two solutions.
Δt = t₂ - t₁
= (5/4 - √2/4) - (5/4 + √2/4)
= (5 - √2 - 5 - √2) / 4
= (-2√2) / 4
= -√2/2
The time difference is -√2/2 seconds, which means the projectile will again be at a height of 60 ft √2/2 seconds later.
Finally, to find the apogee of the projectile, we can find the vertex of the parabolic arc. The vertex of a parabola given by the equation h(t) = -16t^2 + vt + h0 is located at the time t = -b/2a.
In this case, a = -16 and b = 40. Substituting these values, we get:
t = -40 / (2 * -16)
t = -40 / -32
t = 5/4
Therefore, the apogee of the projectile occurs at t = 5/4 seconds.
To know more about equation:
brainly.com/app/ask
#SPJ11
James knows that when he walks, he takes about 120
120
steps per minute and that each step is 2.75
2.75
feet long. Which calculation is most reasonable for James to use to find out his walking speed in miles per hour?
Answers
Answer:
speed of James is: 3.75 miles/hour.
Step-by-step explanation:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
\(19800feet=\frac{19800}{5280} miles=3.65miles\)
hence speed of James= (distance covered by james in 1 hour)/1 hour
speed of James=3.75 miles/hour.
Thanks!!
Mark me brainliest!
~\(FieryAnswererGT\)~
Answer:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
19800feet=\frac{19800}{5280} miles=3.65miles19800feet=
5280
19800
miles=3.65miles
hence speed of James= (distance covered by james in 1 hour)/1 hour
Monomal by a Dinormal
What is the product of x(x + 1)?
O 2x+x
0x2+2x
022 +1
O x² + x
will give brainliest
Answers
Answer:
a
Step-by-step explanation:
.....................
(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
Answers
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
To know more about Hypothesis here.
https://brainly.com/question/29576929
#SPJ4
if the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?
Answers
Answer:
The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%
A new element Z was discovered. It formed a compound with sulfur to be Z3N2. What is the oxidation number of element Z in this compound?
A) +1
B) +2
C) +3
D) +5
E) +6
Answers
Answer:
B
Step-by-step explanation:
\(Z^{2}N^{3}\)
Cross 3 and 2
Z has 2 and and N have 3
a researcher asks each of twenty people to fill out a survey. then she asks each of those people to give a blank copy of the same survey to five other people of his or her sex, age, and weight range. in this way, 120 surveys are distributed. what is the sampling technique?
Answers
The sampling technique used by the researcher in this scenario is known as "snowball sampling".
Snowball sampling is a non-probability sampling technique that is used when the desired sample characteristic is rare or difficult to find. In this technique, the researcher starts with a small group of initial participants (in this case, the twenty people who filled out the survey) and then ask those participants to recruit additional participants who meet the same criteria (in this case, five other people of the same sex, age, and weight range).
This process continues until the desired sample size is reached (in this case, 120 surveys). Snowball sampling is often used in social science research and can be a useful way to reach populations that are difficult to access through other sampling methods.
However, it is important to note that snowball sampling does not produce a representative sample, and therefore the results cannot be generalized to the larger population.
Learn more about snowball sampling at https://brainly.com/question/30873252
#SPJ11
The radius of a circle is 2 inches. What is the circle's area?
r=2 in
Use 3.14 for a
square inches
Answers
Answer:
12.56 in.
Step-by-step explanation:
A=Pi*R to the 2nd power
A=3.14*2 to the 2nd power
A=3.14*4
A=12.56
Let me know if im wrong
Area of the circle is 12.56 square units which has radius 2 inches.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that radius of a circle is 2 inches.
We need to find the area of circle.
Radius= 2 inches.
π=3.14
We know that area of circle=πr²
Area of circle=3.142×2²
=3.142×4
=12.56 square inches.
Hence, area of the circle is 12.56 square units which has radius 2 inches.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
free for all
gl
:) dun dun DUN
Answers
Answer:
Step-by-step explanation:
TYSM
HAVE A GREAT DAY
Answer:
Step-by-step explanation:
DRINK WATER! EAT SAY HEALTHY!!!!! <3
In general, the best measure of central location for a data set that contains outliers is the ______
Answers
MEDIAN is the middle value of a data.
In general, the best measure of the central location for a data set that
contains outliers is the median. Median is the number that is halfway into
the set. The median is less affected by outliers than the mean, as it
represents the middle value when the data is sorted in ascending order.
To find the median, follow these steps:
1. Arrange the data in ascending order.
2. If there is an odd number of data points, the median is the middle value.
3. If there is an even number of data points, the median is the average of the two middle values.
LEARN MORE ABOUT CENTRAL LOCATION:https://brainly.com/question/30112642
#SPJ11
Which expression is equivalent to a2 + 2a – 8?
A. (a + 2)(a – 4)
O B. (a + 1)(a – 8)
o C. (a - 1)(a + 8)
D. (a + 4)(a - 2)
Answers
Answer:
D
Step-by-step explanation:
(a+4)(a-2)=a^2+2a-8
a*a=a^2
a*(-2)=-2a
a*4=4a
4*(-2)=-8
a^2-2a+4a-8=a^2+2a-8
what is the solution to the quadratic equation below? x^2-8x+16=11
Answers
Using it's formula, the solutions to the quadratic equation x² - 8x + 16 = 11 are: \(x = -4 \pm \sqrt{11}\)
What is a quadratic function?A quadratic function is given according to the following rule:
\(y = ax^2 + bx + c\)
The solutions are:
\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)
\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)
In which:
\(\Delta = b^2 - 4ac\)
In this problem, the equation is:
x² - 8x + 16 = 11
In standard-form:
x² - 8x + 5 = 0
The coefficients are a = 1, b = -8, c = 5, hence:
\(\Delta = (-8)^2 - 4(1)(5) = 44\)
\(x_1 = \frac{-8 + \sqrt{44}}{2} = -4 + \sqrt{11}\)
\(x_2 = \frac{-8 - \sqrt{44}}{2} = -4 - \sqrt{11}\)
More can be learned about quadratic equations at https://brainly.com/question/24737967
#SPJ1
In need everyone's help!!!! 6-y+3 Answers: A -1 B 0 C 3 D 6
Answers
Answer: y=3
Step-by-step explanation:
6-y+3
-3 -3
6-3=3 and 3-3 is 0
so the answey is y=3
hope this Helps :)
what does a scatter plot indicate? the correlation between variables the limitations of the correlation coefficient the general nature of the relationship between variables the shared variance between two variables
Answers
The scatter plot indicates the correlation between variables.
Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables). The points seem randomly dispersed on the coordinate plane if there is no association between the variables. The points cluster close to a straight line if there is a strong association. Scatter plots are practical tools for data visualization that can be used to show a trend.
Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with x-y coordinates that correspond to those values.
Learn more about scatter plots here:
brainly.com/question/6592115
#SPJ4
An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute. Round your answer to the nearest whole number.
Answers
Answer:it would be 1385
Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place
4
and look one place to the right for the rounding digit on the right side of the decimal point
7
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
1385
The speed in meters per minute is 22799.
Given that,
An object is moving at a speed of 850 miles per hour.Based on the above information, the calculation is as follows:
We know that
1 miles per hour = 26.822 meters per minute
So for 850 it should be 22799.
Learn more: https://brainly.com/question/17429689?referrer=searchResults
What is x equal to in the equation 2x+7=16? Give your answer as an improper fraction in its simplest form.
Answers
Answer:
\(x=\frac{9}{2}\)
Step-by-step explanation:
\(2x=9 \implies x=\frac{9}{2}\)
Mrs.Galicia bakes and then sells cookies and brownies from her bakery. Her revenue for each baked good (in
dollars) is modeled by the equations, where x is the number of days since the bake goods started to sell.
Brownies: M (d) = 2x² + 8x - 4
Cookies: R(d) = 2x + 4
(a) Solve the system algebraically. After how many days is the revenue for each item the same? Show
your work and explain your answer.
(b) Graph this system to show both solutions. Label each axis appropriately.
Answers
a) After 1 day, the revenue for each item is the same.
b) Graph is shown in the attachment.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
M(d) = 2x² + 8x - 4
R(d) = 2x + 4
a) Find x by taking y=M(d)=R(d). ( same revenue=y)
y= 2x² + 8x - 4
y= 2x + 4
This shows that right-side expressions are equal.
2x² + 8x - 4 = 2x + 4
2x² + 8x - 4 - 2x - 4=0
2x² +6x-8=0
Find the factors
2(x-1)(x+4)=0
x-1=0, x+4=0
x= 1, x=-4
consider positive value for days
So, after 1 day, the revenue for each item is the same
b) The equations:
y= 2x² + 8x - 4
y= 2x + 4
By taking some random values for x and finding the corresponding y values, we get the ordered pairs in the form of (x,y).
By plotting and joining those points, we get the graph as shown in the attachment.
To learn more about the equation from the given link
https://brainly.com/question/28218072
#SPJ1
7(x-7)+9 (4+4x)
Please help
Answers
Answer: 11x-36
Step-by-step explanation:
= 7x - 49 + 36 + 36x
= 7x + 36x - 49 + 36
= 43x - 13
So, in conclusion, the answer to this problem is: 43x - 13.
PLS HELP>>>Greenland has a population of x people. Barbados has a population of 4500 more than 5 times the population of Greenland.
What do you know? What do you not know?
Write a variable expression for the populations.
Answers
Answer:
900
Step-by-step explanation:
4500/5
Marcus participated in a walkathon to raise money for charity he continued to look at a constant speed the table shows the total distance traveled the number of hours he worked in the amount of money he raised a different intervals during the walk
Answers
4.4
and
0.4
Explanation: I'm not completely sure
Answer:
4.4 and 0.4
explanation: i dont really know
the dial on a combination lock contains markings which represent the numbers from 0 to 39. how many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?
Answers
The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.
The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.
How many possible three-number combinations are there?
You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.
To learn more about Three-number combination refer to:
https://brainly.com/question/27242731
#SPJ4
how many faces edges and vertices does a rectangular prism have
Answers
A rectangular prism has 6 faces, 8 vertices and 12 edges.
What is rectangular prism?
A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid. A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
If all the faces of the prism are squares then the rectangular prism is a cube. The volume of a rectangular prism is a measure of the space inside the prism.
To learn more about rectangular prism refers to;
https://brainly.com/question/477459
#SPJ4
you need to paint office 143. if one gallon of paint covers 50 sf, how many gallons of pant will you need?
Answers
To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.
Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.
Let's assume the square footage of office 143 is 800 square feet.
Number of gallons needed = Square footage / Coverage rate per gallon
Number of gallons needed = 800 square feet / 50 square feet per gallon
Number of gallons needed = 16 gallons
Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.
Learn more about square feet here : brainly.com/question/30678567
#SPJ11
A bus company took a tour bus on the ferry when there were 30 people aboard. The ferrycharged the bus company $180. The following week, the bus had 50 people on board and theferry charged them $220. Write an equation in slope-intercept form the represent thissituation. How much does it cost per person?
Answers
Slope intercept form
y=mx+b
Where:
m= slope (cost per person)
b= y-intercept
people already aboard = 30
x= number of people
If x=30 y=180
if x=50 y= 220
180= 30m+b (1)
220= 50m+b (2)
Subtract (1) to (2)
40= 20m
40/20 = m
m= 2
It costs $2 per person.
SO far the equation is:
y= 2x+b
Plug a value of (x,y) and solve for b
For example, we use x=30 and y=180
180=2(30)+b
180 =60+b
180-60=b
120=b
Final equation:
y=2x+120
Question 10 of 25
What is the area of the rhombus shown below?
с
A. 128.7 square units
AC = 13
BD = 15
B. 195 square units
A
9.9
O C. 97.5 square units
O D. 14 square units
SUBMIT
PREVIOUS
Answers
Answer:
0.5*13*15 = 97.5 square units
Step-by-step explanation:
If the diagonals of the rhombus are 13 and 15 then its area is 0.5*13*15 = 97.5 square units
The area of the rhombus is,
A. 97.5 square units
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Rhombus ABCD with the following dimensions:
diagonal 1 (d1) = BD = 15
diagonal 2 (d2) = AC = 13
AB = 9.9
Hence, Area of the rhombus;
Since we know the length of the 2 diagonals, area of the rhombus can be calculated using;
A = 1/2 × d1 × d2
A = 1/2 × 15 × 13
A = 1/2 × 195
A = 97.5 square units
Thus, The area of the rhombus is,
A. 97.5 square units
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ7
Solve for the value of x
A. 20
B. 10
C. 45
D. 3
Answers
Answer:
10
Step-by-step explanation:
\(x + 5 = 15 \\ x + 5 - 5 = 15 - 5 \\ x = 10 \)
Solve in quadratic formula
Answers
Answer:
I'm sorry I don't know what that means so I just put the meaing for quadratic formula
Step-by-step explanation:
In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others
I'm sry that this is not the answer you were probaly looking for but all you said was "Solve in quadratic formula" and theres nothing else so pls if you need to fix that pls do so you can get your answer- Lily~Senpai :P
Solve the inequality, then identify the graph of the solution.
2x – 1 > x + 2
Answers
Answer:
x>3 ; graph #2
Step-by-step explanation:
2x-1 > x+2
x-1 > 2
x > 3
since this inequality states that x is greater than 3 (does not include 3) the dot on the graph will NOT be filled in since the inequality does not include that number
therefore, the correct graph is #2
put in it greatest to least
0.72 0.6 0.09 0.28 0.095
Answers
Two families planned to go to the zoo. The entry ticket for one adult was $7.31 and the entry ticket for one
child was $5.66. There were two adults in the group. The families intend to spend no more than
$46.00. What is the greatest number of child tickets that can be purchased?
Answers
Answer:
5 children
Step-by-step explanation:
$7.31 x2 = $14.62
$46- 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
and $33 is bigger than $31
So the greatest number of children tickets can be purchased is only 5.
Answer:
5 children
Step-by-step explanation:
Solve
$7.31 x2 = $14.62
$46 - 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
$33 is bigger than $31
Therefore, the greatest number of children tickets can be purchased is only 5.