Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
15, 16, 21
A Not a Triangle
B Acute
Obtuse
D Right
Answers
9514 1404 393
Answer:
B acute
Step-by-step explanation:
We can define a "form factor" for a triangle as ...
f = a² +b² -c²
where c is the longest side length. It will be interpreted as follows:
negative -- obtuse trianglezero -- right trianglepositive -- acute triangleFor this triangle, our "form factor" is ...
f = 15² +16² -21² = 225 +256 -441 = 40 . . . . a positive number
The triangle is Acute.
Related Questions
In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answers
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
MULTIPLE CHOICE PLS ANSWER THANKS
Answers
Answer:
I think answer is B
B.10x+150=180
The arc length of this circle is 9.42 inches. Determine the length of the radius.
Complete your work in the space provided.
Answers
Answer:
Radius = 5.996958 (They probably just want “6”).
Step-by-step explanation:
9.42x4=37.68 (perimeter)
Perimeter=2[tex]\pi[/tex]r
37.68÷2[tex]\pi[/tex]=r
5.996958=r
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answers
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?
Answers
= 278
Answer:
278 votes
Step-by-step explanation:
[tex]2/3 * 417 = 278[/tex]
3x3 grid using 24cm wire. How much wire for 20x20 grid?
Answers
Answer:
840cm
Let Me Know If This Is Correct I Always Want To Improve!
Thanks :)
Fill the blanks using Product formula.
Answers
Answer: (-4s-1)*(-8) + (-4)*(-8s+7)
You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.
7 9 4
-2 4 -3
3 10 0
Inverse of this
Answers
Answer:
The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0
Step-by-step explanation:
If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.
The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.
a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)
Answers
Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
please help me i really need help please
Answers
Answer:
7: 100
8: 40
9: 74
Step-by-step explanation:
Answer:
7. x= 100 8. x= 40 and 9. x= 74
Step-by-step explanation:
x + 45 +35=180(sum of angle of triangle )
or, x+ 80=180
or, x=180-80
or, x=100
same process as above for all
Please help will give brainliest answer
Answers
l=5w^2-3w-4
A=w•l
A=4w^3(5w^2-3w-4)
A=20w^5-12w^4-16w^3
Good luck
if x squared by 3 equal 64 what is the value of x
Answers
Answer:
4
Step-by-step explanation:
x^3= 64
x= 64^1/3
x=4
Answer:
4
Step-by-step explanation:
4x4=16
16x4= 64
Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)
Answers
Answer:
0.0144
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both
P(both) = 6/100 * 6/100 = 36/10000 = 0.0036
At Least one
Just One
94/100 * 6/100 = 564/10000 = 0.0564
Both 0.0036
Total 0.06
I need help!!!! I’m stuck!!!
Answers
Answer:
66.3
Step-by-step explanation:
Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2
Answers
Answer:
The answer is below
Step-by-step explanation:
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = x + 1 + y + 1 + x = 2x + y + 2
The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6
b)
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3
The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6
need help with this one
Answers
Answer:
Step-by-step explanation:
B + 87 +78 +66 = 360
B = 129 °
the angle next to B then is
180 = 129 + b '
51 ° = b '
A + 61 + b ' = 180
A = 68 °
Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36
Answers
Answer:
y+4x=36
Step-by-step explanation:
the answer isn't in the choice
m= -3 b= -1 slope intercept form
Answers
Answer:
y = -3x-1
Step-by-step explanation:
all u had to do was plug it into y = mx+b
i have $2 in my pocket what might be in my pocket (number puzzle)
Answers
Answer:
$2
Step-by-step explanation:
Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
Answers
Answer:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
Step-by-step explanation:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
PLS HELP AND HURRY
After how many hours is the price the same in both companies? Explain how you found the answer.
Answers
Step-by-step explanation: 5
Answer:
Step-by-step explanation:
Raging River costs
y=9x
Paddlers costs
y=x+40
So they cost the same when y=y
9x=x+40
8x=40
x=5
So they cost the same for 5 hours.
what is the range of h
Answers
Answer:
-4 to 6
Step-by-step explanation:
The range is the y-axis, unlike the domain which is on the x-axis. So th points would go from -4, the lowest point, to 6 the highest point. If you need to specify, say intervals of 2 as -4 goes to -2, and 2 goes to 4.
the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?
Answers
Answer:
y=x-1
Step-by-step explanation:
(Need help) (ASAP)
Point: 18
Answers
Answer:
10
Step-by-step explanation:
The area is ___ square meters. UH HELP I need the steps if anyone can!?
Answers
27m squared
STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared
Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)
Answers
Answer:
6 pencils
Step-by-step explanation:
30/5=6
30/5=6 pencils each
1O POINTS PLS ANSWER ASAP THANKS
Answers
Answer:
Step-by-step explanation:
The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62
A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?
Answers
Answer:
212 miles
Step-by-step explanation:
the boat is going 4mph so in 53 hours it would be 212mi
The price of an item has been reduced by 35%. The original price was $25.
Answers
Step-by-step explanation:
what thanks for free points btw
Answer:
not sure ans sorry if its wrong but i think its 8.75
Which of the following is equivalent to the complex number i24?
Answers
Answer: 1
Step-by-step explanation:
Rewrite as (i^4)^6
Rewrite i^4 as 1
Rewrite i^4 as (i^2) ^2
((i^2)) ^2)6
Rewrite i^2 as -1
((-1) ^2) 6
Raise -1 to the power of 2
1^6
One to any power is 1.