Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle
Answers
Answer:
The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.
Step-by-step explanation:
im not sure if this helps but....
Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.
How are triangles discriminated based on angles?If all of three angles of a triangle are < 90° then triangle is acute.
If one of the angle is of 90° then the triangle is right angled triangle.
If one of the angle is > 90° then triangle is called obtuse triangle.
How to identify if a triangle is acute, right angled or obtuse?
Let we have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If A^2+B^2 > H^2 , then triangle is obtuse
Given:
Length of the sides of the triangle; 2 , 5 and 4inches
If a , b and c is sides of the triangle such that c is the longest side then;
1). if c² > a² + b² implies that triangle is Acute angled.
2). if c² = a² + b² implies that triangle is Right angled.
3). if c² < a² + b² implies that triangle is Obtuse angled.
We have, a = 2 in , b = 4 in and c = 5 in
So, c² = 5² = 25
a² + b² = 2² + 4² = 4 + 16 = 20
therefore; c² > a² + b²
Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.
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Related Questions
What are prime number
Answers
A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.
In other words, prime numbers are the numbers
divisible by 1 and the number itself.
For example, let us take 2.
2 has only two factors and those are 1 and 2 so it's prime.
Similarly, 7 is also a prime number because it has only two factors
and these are 1 and the number itself which is 7.
Answer:
A number that is only divisible by itself and 1
Step-by-step explanation:
write a function rule for the input output table input x -2, -1, 0, 1 output y 13, 14, 15, 16
Answers
Answer:
y = x+15
Step-by-step explanation:
x-values increase by 1, as do y-values. The ratio of increases is Δy/Δx = 1/1 = 1. This is the slope (m) that is needed in the function rule.
The y-value is 15 for an x-value of 0, so we can use 15 as the y-intercept (b) in the function rule.
In slope-intercept form, the function rule is ...
y = mx +b
y = x +15
What is the volume of a cylinder with a radius of 7.5 cm and a height of 20 cm
Answers
U
14 poi
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team? *
Answers
Answer:
36960 people
Step-by-step explanation:
Answer:
36,960 people
Step-by-step explanation:
[tex]\frac{is}{of}=\frac{percent}{100}[/tex] is the formula to solve for this equation, here plugging in all our numbers gives us [tex]\frac{x}{480,000} = \frac{77}{100}[/tex].
We do not know our "is" so we replace it for x and solve → [tex]x=(480,000)(\frac{77}{100} )[/tex] = 36,960 people
Brainliest giving to who gets this CORRECT first. Check all that apply.
Answers
Answer:
B and E
Step-by-step explanation:
You can start by moving everything to one side and solving the quadratic equation:
[tex]x^2+7x-18=0[/tex]
Factoring:
[tex](x+9)(x-2)=0[/tex]
x=2,-9, or answer choice B and E. Hope this helps!
Answer:
B and E
Step-by-step explanation:
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answers
Answer:
The correct answer is 56.6666666667 second's
Answer:
56 2/3
Step-by-step explanation:
What is the solution to the system of equations?
3 x + 10 y = negative 47. 5 x minus 7 y = 40.
(1, –5)
(1, 5)
(–1, –5)
(–1, 5)
Answers
Answer:
(1, –5)
Step-by-step explanation:
It is relatively easy to try the offered solutions to see what works.
(1, -5)
3(1) +10(-5) = -47 . . . true
5(1) -7(-5) = 40 . . . true
(1, -5) is the solution
_____
As a check, you can try some of the other choices:
(1, 5)
3(1) +10(5) ≠ -47
(-1, -5)
3(-1) +10(-5) ≠ -47
(-1, 5)
3(-1) +10(5) ≠ -47
None of the other choices works in the first equation, so they're not the solution.
Answer:
(1,-5)
Step-by-step explanation:
1)get desmos
2)put in numbers
3)where they intersect is the answer.
easy as pie... oh wait pie ain't easy...
easy as ramen
A company that manufactures laptop batteries claims the mean battery life is 16 hours. Assuming the distribution of battery life is approximately normal, a consumer group will conduct a hypothesis test to investigate whether the battery life is less than 16 hours. The group selected a random sample of 14 of the batteries and found an average life of 15.6 hours with a standard deviation of 0.8 hour.
Which of the following is the correct test statistic for the hypothesis test?
A. t=15.6−160.8
B. t=16−15.60.8
C. t=15.6−160.813
D. t=15.6−160.814
E. t=16−15.60.814
Answers
Answer:
The correct test statistic for the hypothesis test is [tex]t = -1.87[/tex]
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 16[/tex]
The alternate hypotesis is:
[tex]H_{1} < 16[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
In this question:
[tex]X = 15.6, \mu = 16, s = 0.8, n = 14[/tex]
So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{15.6 - 16}{\frac{0.8}{\sqrt{14}}}[/tex]
[tex]t = -1.87[/tex]
The correct test statistic for the hypothesis test is [tex]t = -1.87[/tex]
Hypothesis test used to check the results of the experiments gives true for the meaningful results.. The correct test statistic for the hypothesis test is -1.871.
Given information-
The mean battery life of the laptop is 16 hours claimed by the company.
The random sample for the test is 14.
Average life of the batteries found out as 15.6 hours.
The deviation for this result is 0.8 hours.
What is hypothesis test?Hypothesis test used to check the results of the experiments gives true for the meaningful results.
As the mean battery life of the laptop is 16 hours claimed by the company.The null hypothesis for the given problem is,
[tex]H_o\mu=16[/tex]
As average life of the batteries found out as 15.6 hours. Thus the alternate hypothesis for the given problem is,
[tex]H_1\mu<16[/tex]
One sample t test can be found using the below formula,
[tex]t=\dfrac{\overline x -\mu_o}{\dfrac{s}{\sqrt{n} } }[/tex]
Here, [tex]\overline x[/tex] is mean value, [tex]n[/tex] is the number of random sample and [tex]s[/tex] is the deviation.
Put the values,
[tex]t=\dfrac{15.6 -16}{\dfrac{0.8}{\sqrt{14} } }\\t=-1.871[/tex]
Thus the correct test statistic for the hypothesis test is -1.871.
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In ΔKLM, the measure of ∠M=90°, KM = 48, LK = 73, and ML = 55. What ratio represents the cosine of ∠L?
Answers
Answer:
cos L = 55/73
Step-by-step explanation:
The triangle KLM is a right angle triangle. The ∠M = 90°. The side KM = 48, LK = 73, and ML = 55. The ratio that represents the cosine of ∠L can be solved below.
The right angle triangle formed has an hypotenuse , opposite and an adjacent side. Using the SOHCAHTOA principle one can find the ratio that represent the cosine of ∠L.
opposite side = 48
adjacent = 55
hypotenuse = 73
cos L = adjacent/hypotenuse
cos L = 55/73
What is the slope for the linear function y=3x-4
Answers
Answer:
3
Step-by-step explanation:
This is written in the form
y= mx+b
where m is the slope and b is the y intercept
3 is the slope and -4 is the y intercept
Simplify.
2567 · 162
Answers
Answer:
151 * 17 * 3^4 * 2
Step-by-step explanation:
2567 | 17
151 | 151
1
162 | 2
81 | 3
27 | 3
9 | 3
3 | 3
1
Answer:
415854.
Step-by-step explanation:
A multiplication.
Using a calculator it is:
415854,
Can you from a triangle with side lengths of 15,6, and 6?
Answers
Answer:
No
Step-by-step explanation:
In order to construct a triangle sum of the lengths of any two sides must always be greater than the third side.
Here,
[tex]6 + 6 = 12 \ngtr \: 15 \\ [/tex]
Hence, it is not possible to form a triangle with side lengths of 15,6, and 6.
Which sequence of transformations produces an image that is not congruent to the original figure?
A. A reflection across the x axis followed by a rotation of 180 counterclockwise
B. A translation of 6 units to the left followed by a reflection across the x-axis
C. A rotation of 90° clockwise followed by a translation of 4 units to the left
D. A translation of 4 units to the left followed by a dilation of a factor of 3
Answers
Answer:
D. A translation of 4 units to the left followed by a dilation of a factor of 3
Step-by-step explanation:
Of the transformations, rotation, reflection, translation, dilation, the first three (rotation, reflection, translation) are known as "rigid" transformations. They do not change the shape or size of the object. Any result of a rigid transformation is congruent to the original.
Dilation, by its nature, changes the size of the object, so the result is NOT congruent to the original.
Choice D includes dilation, so the image is not congruent to the original.
Subtract: (3x2 - 8x + 3) - (-5x2 + 4x – 5)
Answers
A gym membership charges $50 new member fee and $24 for every month after. Write an equation for this where y is the total cost and x is the number of months attended.
Answers
Answer:
y=24x+50
24= per month
x= months attended
50=member fee
LOS ANGULOS CONSECUTIVOS SON COMPLEMENTARIOS?
Answers
Answer: Si ellas son complementarias
Step-by-step explanation: Sorry not so good at spanish
Hoped this helped!!!!!
In what percentage of the team's wins did Ryan score a goal?
Answers
Answer:
is there a picture?
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
i got it right ...
trust me or don’t :)
23x6= blank+(3 x 6)
Answers
23x^6=()+(3x^6)=
We move all terms to the left:
23x^6-(()+(3x^6))=0
The value of the unknown in the algebraic equation is 120.
What is Algebra?Algebra is the branch of mathematics, that deals with the representation of numbers and values with alphabets and symbols.
An algebraic equation is an equation containing an algebraic term in it.
From the given question,
Let the blank be represented by x,
23 * 6 = x + (3 *6)
Multiply the numbers on the left side of the equation.
138 = x + (3 *6)
Multiply the expression inside bracket.
138 = x + 18
Solve the equation for x.
x = 138 - 18
x = 120
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2x² +6 = 8x
what are the values of x here?
Answers
x2 = 3
Hopefully this helped!
Answer:
x = 1 and x = 3
Step-by-step explanation:
Move 8x over to get the equation 2x² - 8x +6 = 0
Then factor to get (2x - 2)(x - 3)
Set both factors equal to zero and solve
2x - 2 = 0
2x = 2
x = 1
x - 3 = 0
x = 3
Please Help Now!!!!!!!!!!!!!
Answers
Answer:
94
Step-by-step explanation:the sum of thereprobablityin fraction is
1/9+5/6=2+15/18 {{takin LCM OF 6 and 9}
=17/18
probablity in percentage =17/18×100
=94%
hope this helps
plz mark me brainliest
Answer:
95
Step-by-step explanation:
evaluate (1100000)2 - (111111)2
Answers
Answer:1.197654 10 12
Step-by-step explanation:
Answer:
:1.197654 10 12
Step-by-step explanation:
The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title. During the tournament Ms. Azarenka serve speed reached kilometers per hour. A list of the Women’s Singles serve speed for the 2012 Australian Open is provided below. Player Serve Speed (km/h) S. Williams 192 S. Lisicki 192 M. Keys 191 L. Hradecka 188 J. Gajdosova 187 J. Hampton 187 B. Mattek-Sands 185 F. Schiavone 185 P. Ormaechea 185 P. Parmentier 185 N. Petrova 183 G. Arn 183 V. Azarenka 182 A. Ivanovic 182 P. Kvitova 179 M. Krajicek 179 V. Dushevina 178 S. Stosur 176 S. Cirstea 176 M. Barthel 175
a. Compute the mean, variance, and standard deviation for the serve speeds.
b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.
Answers
Answer:
asnwer is B
Step-by-step explanation:
mark BRAINLIEST
The points (8.1) and (8, 11) lie on a circle with a radius of 5. Find the center of the circle
Answers
Answer:
(8, 6)
Step-by-step explanation:
First, we find the distance between the two points.
Both have the same x-coordinate, 8, so the distance is simply the difference in y.
|11 - 1| = 10
The distance between the points is 10.
Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.
The midpoint of a diameter is the center of the circle.
(1 + 11)/2 = 12/2 = 6
The center o the circle is (8, 6).
A grocery store purchases melons from two distributors, J & K. Distributor J provides melons from organic farms. The distribution of the diameters of the melons from distributor J is approximately normal with mean with 133 millimeters and standard deviation 5 mm. For a melon selected at random from distributor J, what is the probability that the melon will have a diameter greater than 137mm?
Answers
Answer: 0.2119
Step-by-step explanation:
Find the z-score.
(x - μ)/σ
The equation would be:
(137-133)/5 = 0.8
p-value = 0.7881
Subtract that from 1.
1 - 0.7881 = 0.2119
factor completely: 90v + 40
Answers
Answer:
Factor 90v+40
90v+40
=10(9v+4)
Answer:
10(9v+4)
Answer:
10(9v+4)
Step-by-step explanation:
10 goes into BOTH of those numbers so that's why it equals 10(9v+4)
Which of the following expressions has the greatest value?
3^3 2^5 1^10 5^2
Answers
Answer:
2^5
Step-by-step explanation:
2^5 = 32
3^3=27
1^10 =1
5^2 = 25
Answer:
2^5
Step-by-step explanation:
Look at the attachment
What is the measure of its remote interior angle?
Answers
Answer:<1=126° <2=54°
Step-by-step explanation:
sum of angles in a =180°
<2+90+36=180
<2+126=180
Collect like terms
<2=180-126
<2=54°
<2 and <1 are supplementary angles therefore their sum is equal to 180
<2 + <1=180
54 + <1=180
Collect like terms
<1=180-54
<1=126
This area model represents the product 27 and another number . What is the other number
Answers
Answer:
60
Step-by-step explanation:
If 32x+1 = 3x+5, what is the value of x?
2
3
4
6
Answers
Answer:4
Step-by-step explanation:
Solve for I.
3x -8 < 23 AND
- 4x + 26 > 6
Answers
3x < 31
x = 31/3
-4x + 26 > 6
-4x > -20
x < 5
