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Natali [406]
3 years ago
13

Evaluate the following. (iii) sin 30° + tan 40° - cosec 60° / cot 45° + cos 60° - sec 30°​

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Sin 30 = 1/2

tan 45 = 1

Cosec 60 = 2 / √3 = 2√3 / 3

cot 45 = 1

Cos 60 = 1/2

sec 30 = 2 / √3 = 2√3 / 3

_______________________________

[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = <em>1</em>

The face and denominator of the fraction are exactly the same thus the answer is 1 .

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Answer:

  1. 1.875 seconds to reach the maximum height
  2. 62.25 ft

Step-by-step explanation:

The problem can be solved by putting the equation into vertex form.

  s - 6 = -16(t^2 -15/4t)

  s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation

  s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant

  s = -16(t -1.875)^2 +62.25 . . . . put in vertex form

The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).

1. It took 1.875 seconds for the ball to reach its maximum height.

2. The ball went up to 62.25 feet.

8 0
2 years ago
Ernie deposits $9,800 into a pension fund. The fund pays a simple interest rate of 7%. What will the balance be after four years
telo118 [61]

Answer:

$12,845.80

Step-by-step explanation:

take the first number and go +7%. repeat four times

hope this helps :-)

6 0
2 years ago
Find the surface area of the rectangular prism (above) using its net (below). need help pls guy.
Lena [83]

Answer:

62

Step-by-step explanation:

3 x 5 = 15

3 x 2 = 6

2 x 5 = 10

15 x 2 = 30

6 x 2 = 12

10 x 2 = 20

30 + 12 + 20 = 62

6 0
2 years ago
What is the next word in the pattern below?
RUDIKE [14]
Winter
Winter comes after fall in the pattern as we see already. Because this is true, winter is next.
8 0
1 year ago
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Lets say travi's rope is T feet long
and Stacy's rope is 23 feet long
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3T=23+4
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4 0
3 years ago
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