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RSB [31]
3 years ago
7

What are two numbers when multiplied get -40 and when added get 6

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0
10 and -4. You multiply 10 times -4 to get -40 and you add 10 and -4 to get 6 
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Use the multiplier method to increase £72 by 12%<br> You must show your working.
cricket20 [7]

Answer:

£80.62

Step-by-step explanation:

100+12%=112%

112/100= 1.12

1.12*£72 =£80.62

5 0
3 years ago
If csc ( x ) = 4, for 90 ∘ &lt; x &lt; 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

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AysviL [449]

Answer:

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Rafael and his sister bought snacks for movie night.
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Find the arc length of the partial circle.
Maurinko [17]

Answer:

Arc length

2\pi \times 8 \times  \frac{90}{360}  \\ 4\pi

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