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serious [3.7K]
3 years ago
15

Find the value of x if sin80 = Cos(90-x)

Mathematics
2 answers:
AlladinOne [14]3 years ago
6 0

Answer: 80

Step-by-step explanation:

Sin x = cos (90-x)

Like sin 30 = cos (90-30) =cos 60

So

90-x=90-80

Then

X=80

Verify your solution by finding the sum of the angles of sin and cos, it will be 90

Nesterboy [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Sin Ф = Cos (90 - Ф)

Comparing with this

Sin 80 = Cos (90 - 80) = Cos 10

So, x = 80

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A chemical manufacturer wishes to obtain 700 litres of a 24% acid solution by mixing a 40% acid solution with a 15% solution. Ho
vekshin1
00 x 0.24 = a x 0.40 + ( 700 -a ) x 0.15 = 0.40 a - 0.15 a + 105.00 
<span>168.00 = 0.25a + 105.00 </span>
<span>a = 252 </span>
<span>Solution with 40% ....................252 liters........................ans </span>

<span>Solution with 15 % ...................700 - 252= 448 liters.........................ans</span>
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3 years ago
The question is located on the picture please help! :)
ludmilkaskok [199]

Answer:

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Step-by-step explanation:

this is because it increases quickly and then increases more slowly

3 0
3 years ago
I need help answering number 8 please
swat32
The diagram of the triangle is shown below

One interior angle is 56° 
One exterior angle is 103° ⇒ we can work out one interior angle 180°-103° = 77°

The other interior angle is 180° - (56°+77°) = 44°

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4 years ago
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Salsk061 [2.6K]
The answer is B. 1/25 :)
5 0
4 years ago
Read 2 more answers
(URGENT) Gertrude and Russell are traveling on their motor scooters in the same direction along the same road. Gertrude is trave
Arlecino [84]

Answer:

It will take <em>0.75 hours </em>to Russell catch Gertrude

Step-by-step explanation:

<u>Cinematics</u>

The equations of cinematics include velocity, displacement and time. In case only the magnitudes are important, we can use the concepts of speed and distance. The speed can be thought in relative terms, i.e. if one body moves at 10 m/s and other moves at 8 m/s, we can say the relative speed is 2 m/s.

The equation who relates those magnitudes is

x=vt

The problem states Gertrude travels at 10 mph and is 3 miles ahead of Russell who travels at 14 mph. We want to know the time when Russell will catch Gertrude. Since Russell goes faster than Gertrude, he eventually catches her. In a time t, he must travel 3 miles more than her. Since the relative speed of them is 14-10= 4 mph, we can know the time it takes to the encounter to produce

\displaystyle t=\frac{x}{v}

\displaystyle t=\frac{3}{4}=0.75\ hours

Answer: It will take 0.75 hours to Russell catch Gertrude

4 0
3 years ago
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