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4 years ago

In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 6°

Mathematics

1 answer:

amid [387]4 years ago

4 0

Answer:

<A = 18.6 Degree

<B =74.4 Degree

<C = 87 Degree

Step-by-step explanation:

Sum of all the angles of triangle is 180

as given ,

<A = ?

<B = 4<A

<C = 5 <A - 6

As per rule ,

<A + <B +<C = 180

<A + 4 <A + 5<A - 6 = 180

10 <A - 6 = 180

10 <A = 180 + 6

<A = 186 / 10

<A = 18.6 Degree

Hence ,

< B = 4 X (18.6)

< B = 74.4 Degree

and

<C = 5 (18.6) - 6

<C = 87 Degree

PROOF

<A + <B + <C = 180

18.6 + 74.4 + 87 = 180

180 = 180

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What is the axis of symmetry for f(x) = -3x^2+12x-6

il63 [147K]

-3x^2 + 12x -6
a = -3
b = 12
We calculate the vertex "x" value with this formula:
(vertex "x value") = -b / (2*a)
(vertex "x value") = -12 / -6
The vertex "x" value equals the axis of symmetry value.
The axis of symmetry is at x = 2.

Source:
http://www.1728.org/quadr3.htm

6 0

3 years ago

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter

Digiron [165]

Answer:

at least 5

Step-by-step explanation:

If the question was similar to the one given below

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?

The answer would be as follows

If we use 3 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

4C2= 6 ways to use these letters and the comma

If we use 4 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

5C2= 10 ways to use these letters and the comma

If we use 5 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

6C2= 15 ways to use these letters and the comma

We need the least number of the alphabets to assign codes to 12 participants.

So the least number of alphabets is 5 because it can give codes to at least to 12 people .

Pair of alphabets + distinct letter ≥ 12

5 + 1 ≥ 12

6c2 ≥ 12

15 ≥ 12

3 0

3 years ago

Maria will take two books with her on a trip. Suppose that the probability that she will like book 1 is .6, the probabilitythats

morpeh [17]

Answer:

0.25 is the required probability.

Step-by-step explanation:

We are given the following in the question:

Probability that like book 1 = 0.6

$P(1) = 0.6$

Probability that like book 2 = 0.5

$P(2) = 0.5$

Probability that Maria likes both the books = 0.4

$P(1\cap 2) = 0.4$

We have to find the conditional probability that she will like book 2 given that she did not like book 1.

Thus, we have to evaluate:

$P(2|1') = \dfrac{P(2\cap 1')}{P(1')} = \dfrac{P(2)-P(1\cap 2)}{1-P(1)}\\\\P(2|1') =\dfrac{0.5-0.4}{1-0.6} = 0.25$

0.25 is the conditional probability that Maria will like book 2 given that she did not like book 1.

4 0

4 years ago

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grigory [225]

15x

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3 years ago

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Tamara got 22 out of 25 question correct on her last math quiz. What percent of the question did she get correct

Vitek1552 [10]

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3 years ago