Classify the object with the given side lengths as acute, obtuse, right, or not a triangle.
16, 21, 28
Right
Acute
Obtuse
Not a triangle
Answers
Answer:
We have to first see that the given lengths makes a triangle or not by using a+b > c in which a,b and c are
length of sides of a triangle lets check out
16 + 21 = 37 > 28
21 + 28 = 49 > 16
16+ 28 = 44 > 21
As because the statement fits correct in the lengths given so its a triangle
So we can say that the triangle is scalene by means of measurements
but cant be a right angle as by taking the pythagorean triplet
= a^2 + b ^ 2 = c^2
lets see if a=16, b = 21 and c = 28
So a^2 + b^2
= 256 + 441
= 697
but c^2
= 28^2 = 784
As 441 =/= 784
So The triangle lengths cant be a right angled triangle
So 1/2 of possibility is the traingle acute and 1/2 of the possibilty that the triangle is obtuse
Now you can find the correct triangle on the basis of acute or obtuse angle by drawing with given length of sides of triangle
Hope it helps
Related Questions
HELP MEEEEEEEEEEEEEEE!
Answers
Answer: go
Step-by-step explanation:
HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Answers
Answers:
1a) y=-10/3x+90
1b) 20
1c) -18
2a) 2.8
2b) How much the heights of five basketball players vary from the average height.
----------------------------------------------------------------------------------------------------------------
Explanations:
1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.
1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.
y=-10/3(21)+90 (plug in)
y=-70+90 (simplify by multiplying -10/3 by 21)
y=20 (simplify by adding -70 to 90)
Therefore, we can predict that when x is 21, y is 20.
1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.
150=-10/3x+90 (plug in)
60=-10/3x (subtract 90 from both sides
-18=x (divide both sides by -10/3)
Therefore, we can predict that when y is 150, x is -18.
----------------------------------------------------------------------------------------------------------------
2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:
Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.
Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.
65-63=2
58-63=-5
64-63=1
61-63=-2
67-63=4
Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.
Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.
2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.
Hope this helps!
What is the length of the hypotenuse
Answers
Answer:
15
Step-by-step explanation:
The Pythagorean's Theorem states that a^2 + b^2 = c^2, so 81 + 144 = 225, and 225 square rooted is 15.
Answer:
15
Step-by-step explanation:
So, to find the hypotenuse you must use the pythagreons theorm:
A^2+B^2=C^2
Now, we knowt hat A and B is the side lengths.(9 and 12)
The hyoptenuse is C.
So, lets plug in our values for A and B, and find C:
A^2+B^2=C^2
=
9^2+12^2=C^2
Now lets square each number except for C, since its a unknown value:
81+144=C^2
Now combine the 144 and 81:
225=C^2
Finally, square root both sides so C^2 becomes C:
15=C
So the answer for the hyotenuse is 15!
Hope this helps!
PLEASE I NEED HELP!!!!!!!!!
The equation y=25x represents Latanya's earnings in dollars and cents, y, for working x hours. Find the rate of change.
Answers
Answer:
25 dollars/hour
Step-by-step explanation:
The rate of change is 25 dollars/hour
To make chocolate ice cream, you need about 3/8 pound of chocolate. How many pounds of chocolate will you need to make 4 batches of ice cream?
Answers
Answer:
1.5 pounds. it's simply 3/8 times 4
Answer:
1.5 pounds of chocolate
Step-by-step explanation:
A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.
In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.
[tex]4\cdot \frac{3}{8}[/tex]
[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]
[tex]\frac{3}{2}=1.5[/tex]
We need 1.5 pounds of chocolate to make 4 batches of ice cream.
Good luck ^^
Logan inherited $8,000 from his grandmother. He split the money and placed the amounts in the two accounts below. Find the total amount of money he will have in the accounts combined after 5 years. x Account A: earns 7% interest compounded quarterly x Account B: earns 5.5% interest compounded annually
Answers
Answer:
What i got was 3000 please mark wrong if it not right
Step-by-step explanation:
Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answers
Answer:Amount of white paint used by Sarah =1.82 pints
Step-by-step explanation:
Amount of blue paint and white paint to paint her bedroom walls.=9.1 pints
Amount of blue paint used =4/5 x 9.1=7.28 pints
Amount of white paint used=Amount of blue paint and white paint to paint her bedroom walls -Amount of blue paint used
=9.1-7.28=1.82 pints
if ur good at graphs come here.
Answers
Answer:
Believe its D
Step-by-step explanation:
Answer:
(-6,-12) let me know if wrong
Step-by-step explanation:
Mark me brainliest plz
Find the Difference: 0.325-0.01
Answers
Answer:
= 0.315
Step-by-step explanation:
hope this helps :)
Please help! I will give points for helpng.
Answers
Answer:
Should Be 19 students
Step-by-step explanation:
Find the area of the figure.
Answers
Answer:
The answer is 28.5
Step-by-step explanation:
Right triangle: 4.5
Top triangle: 6
Rectangle: 18
Your welcome :)
Which statement accurately describes the economic characteristics of modern
Texas?
A. Texas has one of the strongest and most diverse economies in the country.
B. Texas has a fairly strong economy, but growth has slowed since 2004.
C. Texas has a stable economy, but lacks industrial diversity.
D. Texas has a strong oil industry, but all other sectors have struggled recently.
Answers
Answer:
D
Step-by-step explanation:
sorry if incorrect
Answer:
The answer is A. Texas has one of the strongest and most diverse economies in the country.
Step-by-step explanation:
Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.
9. The quotient of n and -4 is 5. What is the
value of n?
Answers
Answer:
n=-20
Step-by-step explanation:
Answer:
n = -20
Step-by-step explanation:
n/-4 = 5
n/-4 (-4) = 5(-4)
n = -20
-20/-4 = 5
It moves in a straight line starting from rest. It travels with a constant acceleration for 3 seconds reaching a velocity of 4 m/s. Then it slows down with a constant deceleration of 0.5 m/s squared for 4 seconds before stopping what is the total distance travelled by the toy car?
Answers
Answer:
The total distance traveled by the toy car is 14 m
Step-by-step explanation:
Given;
initial velocity of the car, u = 0
final velocity of the car, v = 4 m/s
time of motion, t₁ = 3 s
constant deceleration of the car, -a = 0.5 m/s²
time of motion, t₂ = 4 s
The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).
[tex]Total \ distance = Area = \frac{1}{2} |BC| \times H\\\\Total \ distance = \frac{1}{2} \times 4\times 7\\\\Total \ distance = 14 \ m[/tex]
Question b quick 10 points
Answers
The function r(n) = 5n² + 1 represents the value of the nth term in a sequence.
What is the sum of the 1st and 3rd terms of the sequence?
Answers
Step-by-step explanation:
a_n=5n²+1
➜a_1=5(1)²+1
➜5×1+1
➜5+1
➜6➜a_3=5(3)²+1
➜5×9+1
➜45+1
➜46What is the value of x? (3x + 50) Enter your answer in the box (6x - 10) X =
Answers
Answer:
x = 20
Step-by-step explanation:
(6x - 10) and (3x + 50) are vertical angles and are congruent, then
6x - 10 = 3x + 50 ( subtract 3x from both sides )
3x - 10 = 50 ( add 10 to both sides )
3x = 60 ( divide both sides by 3 )
x = 20
Why is the average approaching 3.5?
Answers
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the average approaching 3.5, we need to use the concept of the mean or expected value.
The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.
In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.
Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:
E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5
Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.
Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:
Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232
To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:
Average approaching 3.5 = (Sum of remaining rolls) / n
We know that the total number of rolls is 3200, so the number of remaining rolls is:
n = 3200 - (number of rolls already rolled)
n = 3200 - 3200 = 0
Therefore,
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
Learn more about mean here:
https://brainly.com/question/23263573
#SPJ2
Help how many questions did you answer correctly
Answers
Answer:
450
Step-by-step explanation:
you divide 90 by 20 and times in by 100
18 questions
step-by-step explanation:
90% of 20 is 18
0.90 • 20 = 18
Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.
Answers
Answer:
the angle measures are 60 and 30
ay - b = c solve for y
Answers
Answer:
[tex]Y=\frac{c}{a}-\frac{b}{a}[/tex]
Step-by-step explanation:
Answer:
y=c+b/a (The a is under c+b)
Step-by-step explanation:
Add the b over to c.
ay=c+b
Now divide both sides by a, which will remove the a from y.
y=c+b/a
Which expressions represent rational numbers? Check all that apply.
Answers
Answer:
The answer is 1.2 or 5
Step-by-step explanation:
Answer:
B,D,E
Step-by-step explanation:
What is the equation of a circle with a radius of 6 and a center at ( -2 , 3 )?
Answers
(x-p)^2+(y-q)^2=r^2
The radius is given (r=6), as well as the centre of the circle (-2;3).
"p" and "q" represent the coordinates of the centre of the circle.
So it would look like this -
(x-p)^2+(y-q)^2=r^2
p=x-coordinate (-2)
q=y-coordinate (3)
r=6
(x-(-2))^2+(y-(3))^2 =6^2
(x+2)^2 + (y-3)^2 = 36
***"^" means "to the power of"
Hope this helped~
Answer:
Solution given:
centre(h,k)=(-2,3)
radius(r)=6 units
we have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x+2)²+(y-3)²=6²
(x+2)²+(y-3)²=36 is required equation of a circle.
Nico practiced drums 1.5 fewer hours than he practiced piano. If Nico practiced the piano for 4 hours, how many hours did Nico practice the drums
Answers
Answer:
2.5 hours
Step-by-step explanation:
4 - 1.5 = 2.5
You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.
On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the way. Which decimal number shows the portion of the distance Sandy skips?
Answers
Answer:
0.2
Step-by-step explanation:
Convert the walking to percent
[tex]\frac{1}{2} \times 100 = 50[/tex]
Add both skateboarding and walking
[tex]30\% + 50\%\\\\= 30 + 50\\\\= 80[/tex]
Now, subtract that from a whole percent
[tex]100 - 80 = 20\\\\20\%[/tex]
Convert it to a decimal
[tex]20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2[/tex]
Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.
BJ purchased five candy bars ($.79 each) three sodas ($.169)each and four bags of chips ($.89 each). What percent of the total order was spent on sodas? 
Answers
Answer:
12.0%
Step-by-step explanation:
PLEASE NO LINKS thank you :)
Answers
Answer:
D
Step-by-step explanation:
mr browner has 7 keys, one for his home 2 for his car and the rest are for his drawers in his office. if he picks up 1 without looking what is the probability it is for his car
1/7, 2/7, 3/7, 4/7, 5/7, 6/7
Answers
Answer:
2/7
Step-by-step explanation:
Because there are a total of 7 keys and he has 2 for his car so 2/7.
:DDDDD
Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?
Answers
The number of games, the friends have to play is an illustration of combination.
They have to play 28 games to ensure that they all play
Given
[tex]n = 8[/tex] --- number of friends
[tex]r = 2[/tex] --- only two friends can play at a time
For everyone else to play, we will make use of the following combination formula;
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]
[tex]^8C_2 = \frac{8!}{6!2!}[/tex]
Expand
[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]
[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]
[tex]^8C_2 = 4 \times 7[/tex]
[tex]^8C_2 = 28[/tex]
Hence, the 8 friends have to play 28 games to ensure that everyone else plays
Read more about combinations at:
https://brainly.com/question/8018593
NEED HELP the answers are
42 days
30 days
180 days
24 days
365 days
6 days
This is confusing someone please help
Answers
Answer:
6 days
Step-by-step explanation:
The can relatively small... I would just say common sense.
hopefully this helps luv <3