Answers
Answer:
Remember that the Pythagorean's theorem says that:
For a triangle rectangle with hypotenuse H and catheti A and B:
H^2 = A^2 + B^2
Here we also need to remember that the area of a square of side length L is:
area = L^2
Now let's solve this.
First, we start with two squares, one of side length a and the other of side length b.
Such that the complete area in the first image is:
area = a^2 + b^2
Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.
in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:
area = c^2
Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:
a^2 + b^2 = area = c^2
a^2 + b^2 = c^2
And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.
Related Questions
sharon bought a $2,100 high definition television set on a six month rent to own plan. the down payment was 10%. what was the dollar value of the down payment? her monthly payments were $75 per month. if she decides not to buy the HDTV after the six months, what was her cost to rent it?
Answers
Answer:
Total Sharon spent $660 for the tv
The down payment was $210
The amount that she paid for rent after 6 months is $450
Step-by-step explanation:
To find out how much her down payment was you would need to find out how much 10% of $2,100 is which is $210, so you know her down payment was $210.
Then you would find out the total cost of rent is after 6 months so you would do 6 times $75 which is $450. So if she decides to not buy it then after 6 months she would have spent $450 to rent it.
And total she would have spent $660 which you can find out by doing $450 + $210 = $660.
If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link
Answers
Answer:
im pretty sure what u have ther is right
A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?
Answers
Answer:
The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3
Make sure to round your answer to the nearest significant figure that you're asked.
Step-by-step explanation:
The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3
I have a question for special product patterns.
It is in the attached image.
Answers
6x+2 = 5x+18 PLS QUICKKKK
Answers
Answer:
16
Step-by-step explanation:
Equation : 6x+2=5x+18
Like Terms : x + 2 = 18
Like Terms Again : x = 16
Answer:
6x+2=5x+18
6x-5x=18-2
X=16
Step-by-step explanation:
First you need to group numbers of like terms in one side. Then when you take the other number to the other side of equal sign changes it's form eg +6 change to - 6
26,720 inches are equal to _______ miles.
Answers
Answer: 0.42171717 miles
Step-by-step explanation:
for inches to mile conversion divide by 63350
so got 0.421717
what is 5 cm in mm. NEED HELP ASAP !!!!!!!
Answers
Find the quadratic root of 3x2-4x+2=0
Answers
Answer:
Step-by-step explanation:
HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING
Answers
A rectangular picture is twice as long as it is wide. If the
area of the picture is 288 in^2, what are its dimensions?
The dimensions of the picture are_____ in long by_____ in wide.
Answers
Answer:
24 in long by 12 in wide.
Step-by-step explanation:
l=2w
288=(2w)×w
288=2w^2
144=w^2
12=w
width is 12 inches. Plug that in to find length...
l=2×12
l=24
Need answer asap, correct answer will get brainliest.
Answers
Answer:
answer option number 4
Step-by-step explanation:
Answer:
p(2,-4) q(3,-1) r(4,-4)
Step-by-step explanation: Reflecting across the y axis changes the x coordinates.
What is the measure of m?
12
4.
n
m
m = [?]
Please help!
Answers
I think the answer to m is 8
Find five numbers so that the mean, median, mode and range are all 4.
Answers
Answer:
The set of five numbers would be {2,4,4,4,6}
Answer:
The example set could be:
S
=
{
2
,
4
,
4
,
4
,
6
}
See explanation.
Explanation:
First you can notice that if the set was:
S
1
=
{
4
,
4
,
4
,
4
,
4
}
then it would fulfill 2 conditions: mean and median, but
the set does not have the mode because all numbers are the same,
the range is zero (again all numbers are the same)
To have the mode the set would have to have at least one element different from
4
, but if we changed only one element the mean would change, so at least two numbers need to be changed to keep mean equal to
4
..
Now to get the range the difference between the changed numbers should be
4
. That leads us to adding two to one number and subtracting two from the other.
Finally we can get the set from the answer.
please help!!!!!!!!!!!!!!!!!!
Answers
Answer: C. 1,485 cubic feet
Step-by-step explanation:
Ur welcome :)
Answer:
I am assuming the storage shed is shaped like a rectanglular prism.
v=lwh
v=9*15*11
v=1485 cubic feet
Answer is C.
angie needs 8 cups of oliv oil to make a recipe if olive oil costs $4.00 a pint how much money will she need to buy the olive oil
Answers
I’ll give brainliest
Find the area of the larger sector.
Round to the nearest tenth.
2550
13.4 miles
Area
[? ]miles?
Answers
Answer:
Step-by-step explanation:
Answer: 399.6
Step-by-step explanation:
h
I need help with this problem
Answers
1: yes
2:C
3:D
Step-by-step explanation:
a number is missing in no.3
the ans in 3 is -1,0,5,1,5,6
i didn’t mean to pick that but can some one please give me the answer :(
Answers
Answer:
you were right
Step-by-step explanation:
180-104 is 76 76-10=66 66/2 is 33
Answer: x = 33
Step-by-step explanation:
Well since that line is basically equal to 180 all you have to do is plug in those numbers for x. Since 33 + 10 = 43 Alll you gotta do is add that up. So we have 104 + 33 + 43 = 180. I’m not the best at explaining things but I hope this helped :)
g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined the compass direction of hundreds of such jumps. They found that 73% of jumps in the northeast direction were successful, compared with 60% of jumps in the southwest direction and only 18% of jumps in all other directions. True or False: Jumping direction and jump outcome are independent.
Answers
Answer: False
Step-by-step explanation:
Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions
How much will be in the account after 18 years to the nearest cent
Answers
Answer:
A = $34,494.79
Step-by-step explanation:
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of 7.75% per year compounded 1 times per year over 18 years is $34,494.79.
What is the measure of DBE?
Answers
Repeated-measures and matched-subjects experiments
Repeated measures experiments measure the same set of research participants two or more times, while matched-subjects experiments study participants who are matched on one or more characteristics. Which of the following are true for both a repeated-measures experiment and a matched-subjects experiment when used to compare two treatment conditions?
A. If the researcher has n number of participants to use in the experiment, then the degrees of freedom will be the same in a repeated-measures experiment or in a matched-subjects experiment.
B. The researcher must compute a pooled variance to compute a t statistic.
C. The researcher must compute an estimated standard error for the mean difference score to compute a t statistic.
D. Participants in both types of experiments are all measured the same number of times.
A matched-subjects experiment produced at statistic with a df of 13. How many subjects participated in this study?
a. 13.
b. 28.
c. 26.
d. 14.
For a repeated-measures experiment comparing two treatment conditions, the t statistic has a df of 17. How many subjects participated in this study?
a. 18.
b. 17.
c. 36.
d. 34.
Answers
Martin cycles at an average speed of 12mph. On Tuesday, he leaves his house at 9:15am
and goes on a bike ride for 40 miles. What time does he arrive home?
Answers
Step-by-step explanation:
40÷12= 3.33
so it approximately takes him 3hrs and 18minutes
so 9:15 + 3hrs 18 minutes is 12: 33 pm?
Help with the calculus problem please
Answers
The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral
[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]
which follows from
• the fact that d/dx [sin(x)] = cos(x)
• the fundamental theorem of calculus
On a survey, 3 out of every 8 band members prefer listening to jazz music. Based on the survey, how many out of 240 band members would prefer listening to jazz music
Answers
Answer:
90
Step-by-step explanation:
which value of y makes the inequality 3y^2 + 2(y - 5) >8 true?
A. y = 0
B. y = -1
C. y = -2
D. y = -3
Answers
Answer:
-3
Step-by-step explanation:
HELP PLEASEEE
Solve 5x- c= k for x.
A. X - 5(k+c)
B. X = 5(k-c)
C.
k-c
X=
D.
kic
5
Answers
Terrell built a model of an airplane. The
length of one wing in the model is 4 inches
long. The scale of the model is 1 inch =
17.5 meters. Find the length of the actual
wing of the airplane.
Answers
Answer: 70 m
Step-by-step explanation: 4 inch 4·17.5 m = 70 m
Can someone help me with this please
Answers
Hope it helps!
Math-way app for problems like number 2
Have a nice day:)
I’ll give you brain list if you solve it
Answers
Answer:
1000$ is the correct ans I think ?