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ankoles [38]
3 years ago
8

What is the 93rd term of the arithmetic sequence-11,-7,-3

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer: 361

Step-by-step explanation: 4(the change) times 93 (the term u want) minus 11 (your starting number/term)

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Describe the error in the work shown below.
Katena32 [7]

Answer:

the bottom equation should be 18+30=3(6+10)

Step-by-step explanation:

6(3+10) = 18+60 which equals 78

78 does not equal 18

5 0
3 years ago
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
What is the answer to this maths question?<br><br> 0.24/0.012=
Igoryamba
0.24/.012 Answer= 20
You just divide the .24 by .012

4 0
3 years ago
Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
const2013 [10]
Convert the given data into ascending order.
30,54,55,55,66,78,79,80,81,91,92
Here the minimum value is 30 and maximum is 92.
Total counts=11
Now plot the data.

Stem | Leaf
3       |  0
5       | 4 5 5
6       | 6
7       | 8 9 
8       | 0 1
9       | 1 2

This is the required stem leaf plot.
3 0
3 years ago
Read 2 more answers
5x-9=15+11x<br><br> The solution for x is x=?
Wittaler [7]

Answer:

x = -4

Step-by-step explanation:

   5x-9 = 15+11x

5x - 11x = 15 + 9

      -6x = 24

         x = -4

5 0
2 years ago
Read 2 more answers
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