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3 years ago

Geometry question on finding x.

Mathematics

1 answer:

Dmitrij [34]3 years ago

6 0

Answer:

$x =63^o$

Step-by-step explanation:

Given :-

$\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}$

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

$\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o$

Hence the value of x is 63° .

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Simplify (5a2bc3) abc4

Tatiana [17]

$(5a^{2}bc^{3}) abc^{4}=5*(a^{2}*a)*(b*b)*(c^{3}*c^{4})=5*a^{3}*b^{2}*c^{7}\\\\
5a^{3}b^{2}c^{7}\ is\ your\ answer.$

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3 years ago

How did he get this 1/2i ? I dont remember studying this definition in calc 1 neither calc 2!

Hitman42 [59]

The $i$ in the denominator is missing in the second expression. It should be

$\sin at=\dfrac{e^{iat}-e^{-iat}}{2i}$

This follows from

$e^{iat}=\cos at+i\sin at$
$e^{-iat}=\cos at-i\sin at$
$\implies e^{iat}-e^{-iat}=2i\sin at$
$\implies \sin at=\dfrac{e^{iat}-e^{-iat}}{2i}$

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4 years ago

I will give Brainliest. URGENT!!!

Sergio039 [100]

Answer:

RZ = 71

SW = 142

x = 22

Step-by-step explanation:

$3x + 5 + 3x + 5 = 7x - 12 \\ \: \: \: \: \: \: \: \: \: \: \: 6x + 10 = 7x - 12 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{ - 1x + 10 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: \: - 10 = - 10}{ \frac{ - 1x}{ - 1} = \frac{ - 22}{ - 1} } \\ \\ x = 22$

6 0

3 years ago

A potato was launched in the air using a potato gun. The function for the situation was h(t)=-16t^2 +100t+10, where t was the ti

Goshia [24]

Answer:

The height equation is:

h(t)=-16t^2 +100t+10

A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.

v(t) = -2*16*t + 100 = 0

t = 100/(2*16) = 3.125s

Now we put this time in our height equation:

h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.

B) The lowest heigth of the potato will be h = 0ft, when the potato hits the ground.

C) the lowest time that works for that function is t = 0s, when the potato is fired by the gun.

D) the maximum time can be finded when the potato hits the ground, afther that point the equation does not work anymore, let's find it,

h(t) = 0 = -16t^2 +100t+10

we can solve it using Bhaskara's equation:

$t = \frac{-100 +- \sqrt{100^2 +4*16*10} }{-2*16} = \frac{-100 +- 103.2}{-32}$

So the two solutions are:

t = 6.3s

t = -0.1s

We need to chose the positive time, as we already discused that the minimum time that works for the equation is t = 0s.

so here the answer is t = 6.3s

E) the domain is 0s ≤ t ≤ 6.3s

The range is 0ft ≤ h ≤ 166.25 ft.

4 0

3 years ago

Hi waht is m⁵×m⁴ in algebra maths

crimeas [40]

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

$m^{5} \times m^{4} = m^{5+4} = m^{9}$

5 0

3 years ago