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2 years ago

One exterior angle of a regular polygon measures 97°. What is the measure of one interior angle?

Mathematics

1 answer:

3241004551 [841]2 years ago

4 0

Hello :) = Merhaba :)

Answer:

Step-by-step explanation:

The total angle of a polygon and its external angle must be 180°.

So the inner angle of this polygon:

180 - 97 = 83° would.

NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.

#Cevapistevereyim

Başarılar :) = Achievements :)

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Trevor Has $178 in his bank account at the start of the week He makes one withdrawl during the week At the end of the week Trevo

DerKrebs [107]

178-(-62) should get you your answer

4 0

2 years ago

A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that

Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

$P(A\cap B)=P(A).P(B)$

Now, According to question , we can get that

$P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}$

So,

$P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}$

So, by using the conditional probability , which state that

$P(B\mid A)=\frac{P(A\cap B)}{P(A)}$

$P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}$

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

4 0

2 years ago

Determine the value of x in the diagram

Romashka-Z-Leto [24]

Answer:

x=144

Step-by-step explanation:

We got x and x/4 right

If you put x on the same line as x/4, you gon see that x+x/4=180

Then, just do your algebra and get x=144

8 0

2 years ago

How many and of which kind of roots does the equation f(x)=x^3+2x^2+4x+8 have?

ss7ja [257]

The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.

<h3>What kind of roots does have a cubic equation? </h3>

In this problem we have a cubic equation and the nature of their roots must be inferred according to a algebraic method.

Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, there is a method to infer the nature of the roots of such polynomials: The discriminant from Cardano's method, an analytical method used to solve polynomials of the form a · x³ + b · x² + c · x + d = 0.

The discriminant is described below:

Δ = 18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d² (1)

Where:

There are three distinct real roots for Δ > 0.
Real roots with multiplicity greater than 1 for Δ = 0.
A real root and two complex roots for Δ < 0.

If we know that a = 1, b = 2, c = 4 and d = 8, then the nature of the roots is:

Δ = 18 · 1 · 2 · 4 · 8 - 4 · 2³ · 8 + 2² · 4² - 4 · 1 · 4³ - 27 · 1² · 8²

Δ = - 1024

The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.

To learn more on cubic equations: brainly.com/question/13730904

#SPJ1

4 0

1 year ago

How to find the area of the triangle

KiRa [710]

Hello from MrBillDoesMath!

Answer:

Discussion:

The diagram is a bit hard to read but I think the triangle has a base length of 4 and an altitude of 1 (gotten by counting dots). Then the area of the triangle is

= (1/2) bh

= (1/2) 4 * 1 =

Thank you,

MrB

8 0

2 years ago

Read 2 more answers