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3 years ago

Please help me!!!!!!

Mathematics

1 answer:

densk [106]3 years ago

8 0

Thi Is strange (-.-)

Topic: trigonometric ratios

To find $x$ we have the fact that its opposite catfish is $24$ and the adjacent catfish is $35$ , we must look for some trigonometric reason that relates the opposite side and the adjacent side, that is the tangent:

$\boxed{ \tan( \alpha ) = \frac{o.c}{a.c} }$

$\tan( \alpha ) = \frac{24}{35}$

Applying inverse tangent:

$\alpha = { \tan }^{ - 1} ( \frac{24}{35} )$

The angle is approximately 34° 26' 20.36''

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I'll give brainliest<br><br><br> -4n(5n+6)-5(3+3n)

motikmotik

Answer:

-20n^2-39n-15

Step-by-step explanation:

8 0

2 years ago

A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decr

denis-greek [22]

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

7 0

3 years ago

a and b can do a piece of work in 12 days, b and c in 15 days and c and a in 20 days. how much time will a alone take to finish

nydimaria [60]

A and b can do a piece of work in 12 days. If a alone have to finish the job among b and c so

A and b=12
A (24 days alone without b)

So if b and c 15 days and c 20 days. If a have to do all I would add 24 and 15 and 20 which would be 59 days

7 0

2 years ago

1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

3 0

3 years ago

Simplify the expression 4x^3/28x^4

KIM [24]

1/7x

Factorize the numbers (4 and 28) as they have a common factor of 4 so you can simplify it to 1/7. Cancel out the 3 in the x (numerator) from the denominator and you will have x^1 remaining in the denominator. That is also the same as x, therefore making it 1/(7x)

5 0

2 years ago