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kakasveta [241]
3 years ago
6

A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle’s largest angle?

Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

Answer:

The Largest angle is 129.868 degrees

zvonat [6]3 years ago
4 0
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

      i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

       ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

       a^{2}=b ^{2}+c ^{2}-2bc(cosA)

2. 

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

400=81+169-234(cosA)   150=-234(cosA)

cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°, 

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
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503,497 and 26,475 the value of 7 in?is ?times the value of 7 in ?
Vlad1618 [11]
1 times greater than 503,497
4 0
2 years ago
(2×-5) for ×=-3 and for ×=3.​
Brut [27]

Answer:

<h2>-11 and 1</h2>

Step-by-step explanation:

Put the values of x to the given expression:

for x = -3:

2(-3) - 5 = -6 - 5 = -11

for x = 3

2(3) - 5 = 6 - 5 = 1

6 0
3 years ago
Choose all the functions that give the sequence:
TEA [102]

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Further explanation:

We will put n=1,2,3,4,5 to find which functions give the given sequence

<u>f(n) = 2n − 1</u>

Putting values of n

f(1)=2(1)-1=2-1=1\\f(2)=2(2)-1=4-1=3\\f(3)=2(3)-1=6-1=5

This function doesn't generate the given sequence

<u>f(n) = 2n + 1</u>

Putting values of n

f(1)=2(1)+1=2+1=3\\f(2)=2(2)+1=4+1=5\\f(3)=2(3)+1=6+1=7\\f(4)=2(4)+1=8+1=9\\f(5)=2(5)+1=10+1=11

This function generates the given sequence.

<u>f(n) = 2(n − 1) − 3</u>

Putting values of n

f(1) = 2(1 -1) -3=2(0)-3=0-3=-3\\f(2) = 2(2 -1) -3=2(1)-3=2-3=-1\\f(3) = 2(3-1) -3=2(2)-3=4-3=1

This function doesn't generate the given sequence

<u>f(n) = 2(n − 1) + 3</u>

Putting values of n

f(1) = 2(1 - 1) + 3=2(0)+3=0+3=3\\f(2) = 2(2 - 1) + 3=2(1)+3=2+3=5\\f(3) = 2(3 - 1) + 3=2(2)+3=4+3=7\\f(4) = 2(4 - 1) + 3=2(3)+3=6+3=9

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Keywords: Functions, Sequence

Learn more about functions at:

  • brainly.com/question/3071107
  • brainly.com/question/3126500

#LearnwithBrainly

8 0
3 years ago
Kevin, can clean a stadium in 5 hours working alone. Chris, can
LenaWriter [7]

Answer: It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .

Step-by-step explanation:

Given : Time taken by Kevin to clean a stadium = 5 hours

Rate of work done by Kelvin =\dfrac{1}{5}

Time taken by Chris to clean a stadium  = 3 hours

Rate of work done by Chris =\dfrac{1}{3}

Let t be the time taken by both of them to clean the stadium together.

According to the question , we have

Rate of work done together = Rate of work done by Kelvin+Rate of work done by Chris

\dfrac{1}{t}=\dfrac{1}{5}+\dfrac{1}{3}\\\\ \Rightarrow\ \dfrac{1}{t}=\dfrac{3+5}{15}\\\\ \Rightarrow\ \dfrac{1}{t}=\dfrac{8}{15}\\\\\Rightarrow\ t=\dfrac{15}{8} =1.875

t=1+0.875 hours

t=1\text{ hour }+0.875(60)\text{ minutes}  [∵ 1 hour = 60 minutes]

t=1\text{ hour }+52.5\text{ minutes}= \text{1 hour 52.5 minutes}

Hence, It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .

5 0
3 years ago
Need help with this question click to see
blondinia [14]

Answer:

1) u > 4

2) 7 < u

3) u < 4

4) 7 > u

Step-by-step explanation:

1) subtract 6 - 2

2) add 3 + 4

3) subtract 4 on both sides (8-4)

4) subtract 9 - 2

7 0
2 years ago
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