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2 years ago

Please help asap((((:

Mathematics

1 answer:

AleksAgata [21]2 years ago

8 0

Answer:

Angle 3 is 95, angle 1 is 30.

Step-by-step explanation:

I already answered a lot of your other angle questions so I will make this one QUICK...

Angle 4 is 85, so to find angle 3, simply subtract: 180 - 85 = 95

So angle 3 is 95

We know two out of the three angles in a triangle and they are: 95 and 55, so 95 + 55 = 150. The sum of the angles in a triangle is 180 so we have: 180-150 = 30, which is the answer for angle 1.

So angle 1 is 30

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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

Sholpan [36]

Answer: 15

Step-by-step explanation:

(r+1)th term of $(a+b)^n$ is given by:-

$T_{r+1}=\ ^nC_r(a)^{n-r}b^r$

For $(a+b)^6$ , n= 6

$T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\$

$=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2$

Hence, the coefficient of the third term in the binomial expansion of $(a+b)^6$ is 15.

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2 years ago

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the entry ticket for a baseball game costs $5 for an adult ticket and $3 for a child.A group of 20 people paid total entry fees

sesenic [268]

There would be 15 adults and 5 children in that group.
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3 years ago

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If the terminal point of ø is (1,0), what is tan ø?

charle [14.2K]

Given:

The terminal point of $\phi$ is (1,0).

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The value of $\tan\phi$ .

Solution:

If the terminal point of $\theta$ is (x,y), then

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Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

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2 years ago

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Step-by-step explanation:

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2 years ago

In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

NemiM [27]

Answer:

2.7 in²

Step-by-step explanation:

Area of ∆BAC : ∆Area of EDF = BC² : EF² (based on the area of similar triangles theorem)

Thus:

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$\frac{6}{x} = \frac{3^2}{2^2}$

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2 years ago