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Anettt [7]
3 years ago
10

Chelsea writes the expression (n + 1)(n + 2) + 2n for the number of circles used to make the nth figure in the pattern shown.

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

Step-by-step explanation:

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A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle’s largest angle?
zvonat [6]
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
4 0
4 years ago
Read 2 more answers
What is the slope of a line that goes through (0,6) and (6,0)
vazorg [7]
(x1,y1)=(0,6)
(x2,y2)=(6,0)
slope=(0-6)/(6-0)=0
3 0
4 years ago
Help<br> Cannot use the tactic of moving the variables in my school<br> -5-3w=7w
nevsk [136]
Collect like terms
-3w - 7 w =5
Divide both sides by -10
-10w =5
w = -1/2
7 0
3 years ago
A company is developing a new high-performance wax for cross country ski racing. In order to justify the price marketing wants,
andrew11 [14]

Answer:

A)Yes they should market the wax, because it melts before 55 seconds

C) Null hypothesis: mean <55 vs. Alternative hypothesis :mean =55

D) the value is 51.33 seconds

Step-by-step explanation:

The selected samples for the champion are : 57.9, 62.9, 50.6, 50.5,48.2,47.2,50.2 and 43.1

The mean is ;

Sum =57.9 + 62.9 + 50.6 + 50.5+48.2+47.2+50.2+ 43.1 =410.6

Mean= 410.6/8 =51.33= mean

Assuming Significant =0.05 thus applying this level will give you 51.28-51.38

if specifically, the mean time to finish their standard test course should be less than 55 seconds for a former Olympic champion, then the null hypothesis is correct

Then;

Null hypothesis: mean <55

Alternative hypothesis :mean =55

7 0
3 years ago
Which expression is equivalent to -32 3/5
RSB [31]

Answer:

See below.

Step-by-step explanation:

-32 3/5

= [(-32* 5) + 3] / 5

= -163/5 is one expression.

Another is -32.6 ( because 3/5 = 0.6).

8 0
3 years ago
Read 2 more answers
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