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3 years ago

How many triangles can be made from 4 cm, 5 cm, 50º how many can be made with 3 given angles

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Answer:

Angle 1: 65°

Angle 2: 65°

Angle 3: 50°

Step-by-step explanation:

The sum of 3 angles in a triangle should always be 180°. If it is not 180° all together then it isn't a triangle. So I did 180-50=130 and 130÷2=65 so I chose 65°

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Explain how to determine the zeros of f(x)= (x+3)(x-2)(x-6)

Deffense [45]

Answer:

The zeros of f(x) are -3, 2 , 6

Step-by-step explanation:

f(x) is a polynomial of degree 3.

If the polynomial is not factorized we will either factorize to find the zero or use trial and error method.

Since the f(x) in the question is in the factorized form. we will have to equate each factor to zero.

f(x) = (x+3)(x-2)(x-6)

x + 3 = 0 => x = -3

x - 2 = 0 => x = 2

x - 6 = 0 => x = 6

8 0

3 years ago

Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8

drek231 [11]

Answer:

95% Confidence interval: (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, $\bar{x}$ = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)$

(96.06,103.94) is the 95% confidence interval for the population mean test score.

8 0

3 years ago

Graph the solution of y - 4 < 2 on a number line.

Luda [366]

Answer:

y<6

Step-by-step explanation:

You will solve it like a one-step equation but just leave the less then symbol. so anything less then 6 is your answer

3 0

3 years ago

Figure ABCD is a rhombus. What other term describes figure ABCD?

Maslowich

Paralellogram and quadrilateral and polygon

4 0

3 years ago

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What is the answer please help!

Sav [38]

Answer:

(1,3)

Step-by-step explanation:

8 0

3 years ago

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