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SVETLANKA909090 [29]
3 years ago
6

What is the width of the prism

Mathematics
1 answer:
serg [7]3 years ago
4 0

Answer: 2 centimeters

Step-by-step explanation:

Just took it

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the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the seque
stealth61 [152]

Answer:

54

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

4b = 4-8a

T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

T6 = 2(36) + 6(-3) = 72 -18 = 54

7 0
2 years ago
Read 2 more answers
PLEASE HELP GIVING MANY POINTS!
NeTakaya

Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

  tan(50°) = (h -1.65)/d

Rearranging to solve for d, we have ...

  d = (h -1.65)/tan(50°)

The distance across the plaza from the second surveyor satisfies the relation ...

  tan(30°) = (101.65 -h)/d

Rearranging this, we have ...

  d = (101.65 -h)/tan(30°)

Equating these expressions for d, we can solve for h.

  (h -1.65)/tan(50°) = (101.65 -h)/tan(30°)

  h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)

We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

3 0
3 years ago
The side of a square are 3 cm long. One vertex of the square is at (2,0) on a square coordinate grid marked in centimeters units
yuradex [85]
(2,0) (5.0) (5,3) (2,3)
(2,0) (-1,0) (2,3) (-1,3)
3 0
3 years ago
How do I graph quadratic equations: y=(x+2)^2-1
Fudgin [204]
Easiest way is if you have a graphing calculator, but if not. Simply plug in values for x, starting at -2 for this equation, and then find the corresponding y values. Then plot.
6 0
3 years ago
A swimming pool is 8 meters long 6 meters wide and 2 meters deep the water resistant paint need for the pool cost $6 per square
Sati [7]

Answer:

Step-by-step explanation:

3 0
3 years ago
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