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Ira Lisetskai [31]
3 years ago
6

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = -74.

Mathematics
1 answer:
makkiz [27]3 years ago
7 0
Arithmetic sequence:
an=a1+(n-1)d
a_{17}= a_{1}+16d

-74=38 + 16d

16d=-74-38

16d=-112
d=-112/16=-7
a_{27}=a_{1}  + 26d=38+26*(-7)=38-182=-144
Answer: D)-144
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cricket20 [7]

Answer:

6.89 to 68.9hm

Step-by-step explanation:

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4 years ago
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Use the figure to find the length HJ. Assume △DEF ≅ △GHJ.<br> *I GOT 30*
solniwko [45]
Yes, HJ = 30 ft.

It tells us that triangle DEF = triangle GHJ.

By seeing this we know without looking at the triangles that EF is going to be the same as HJ because when they say a figure is the same as another and list the letters such as 'DEF' and 'GHJ' they will list them in the same order.

So

'DEF' = 'GHJ' we get:

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And we can do the last and first letters:

'FD' = 'JG'

And since we know 'EF' = 'HJ' and that they already told us 'EF' was 30, we know HJ will be 30.
5 0
3 years ago
The collection of all possible outcomes of a random phenomenon is called A. the sample space. B. the distribution. C. the probab
Hoochie [10]

Answer:

Option A is correct.

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Step-by-step explanation:

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The sample space of a phenomenon is the set of all possible outcomes for that phenomenon.

- Distribution

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8 0
3 years ago
Which system of equations can be graphed to find the soultion(s) to x^2=2x+3
Elanso [62]

Answer:

\left \{ {{y=x^2} \atop {y=2x+3}} \right.

Step-by-step explanation:

The system would be:

\left \{ {{y=x^2} \atop {y=2x+3}} \right.

And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)

3 0
4 years ago
Can someone check questions?
Soloha48 [4]
1
The first one is correct. 

2
A hexagon has the weird property of having the radius and the side being of exactly the same length

The formula is A = 3 * sqrt(3) * a^2 / 2
where a = the side  or radius
A = 3 * sqrt(3) * 5^2 / 2
A = 3 * sqrt(3) * 25 / 2
A = 1.5 * sqrt(3) * 25
A = 64.95

A <<<< Answer (the first one is the answer.) 


C
This one seems so much more entailed. Do you know what the cos law is? That's what I will use to find c.

c^2 = a^2 + b^2 - 2*ab* cos(C)
C = 33 degrees
a = 2.75 miles
b = 1.32 miles

c^2 = 2.75^2 + 1.32^2 - 2 * 2.75 * 1.32 * cos(33)
c^2 = 9.3049 - 6.0887
c^2 = 3.2162
c = sqrt(3.2162) = 1.7934 

Now you have to use this result to get the area. You have to use Heron's formula.

A = sqrt(s * (s - a) * (s - b) * (s - c) )
s = 1/2 the perimeter
s = 1/2 (2.75 + 1.32 + 1.7934)
s = 1/2(5.8634)
s = 2.9317
I'll finish this in the comments. I have to leave for a bit.

6 0
4 years ago
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