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3 years ago

Help on question b ASAP

Mathematics

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

A) a = 108°

B) b = 24°

Step-by-step explanation:

A) The formula used to calculate the interior angle of any polygon is;

θ = 180(n - 2)/n

where;

n is the number of sides that the regular polygon has

θ is the interior angle

This polygon with angle a has 5 sides.

Thus;

a = 180(5 - 2)/5

a = 108°

B) Looking at the image again, we have 2 equilateral triangles and 1 isosceles triangle.

So the point of the ap ex of the unshaded triangle, the angle at that point is 360°

All angles in an equilateral triangle is 60°. Thus, ap ex angle of isosceles triangle is;

360 - (108 + 60 + 60)

360 - 228 = 132°

Now, the other two angles of the unshaded isosceles triangle are equal.

Thus;

2b + 132 = 180 (sum of angles in a triangle)

2b = 180 - 132

2b = 48

b = 48/2

b = 24°

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In a class of students, the following data table summarizes the gender of the students

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Answer:

1/2

Step-by-step explanation:

Has A 4+8=12

All together 12+12=24

Probability to have A 12/24 or 1/2

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2 years ago

con 16 barras de mantequilla se prepararon 20 postres ?que fraccion del total de mantequilla corresponde a cada postre

MatroZZZ [7]

De ahí que la fracción de la mantequilla total que corresponde a cada postre sea 1/4

Si con 16 barras de mantequilla se prepararon 20 postres, esto se puede expresar como:

16 pegatinas = 20 postres

Para obtener la fracción del total de mantequilla que corresponde a cada postre, podemos escribir;

x = 1 postre

Divide ambas expresiones

16 / x = 20/1

20 veces = 16 * 1

20x = 16

x = 16/20

x = 4/5

De ahí que la fracción de la mantequilla total que corresponde a cada postre sea 1/4

Obtenga más información aquí: brainly.com/question/1878884

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2 years ago

In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars waiti

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Answer:

A line of cars will be about 9650000 feet

Step-by-step explanation:

Simple:

$9.65*1,000,000=9650000$

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3 years ago

Bert already has $50 but needs a total of at least $250 for his holiday. He gets paid $20 per day for delivering papers. What is

aleksley [76]

Answer:

Bret would need to work for 8 days.

Step-by-step explanation:

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2 years ago

Vanessa deposits $24,000 into each of two savings accounts. Account I earns 2. 4% interest compounded annually. Account II earns

ikadub [295]

The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

$I = \dfrac{P \times R \times T}{100}$

For the considered case, we're given that:

Initial amount in both accounts deposited = $24,000 = P
Type of interest: Compound interest in first account and simple interest in second account
Unit of time: Annually
Rate of interest = 2.4% annually = R
Total unit of time for which amount is to be calculated: 5 years = T

In first account, the final amount at the end of 5 years is evaluated as:

$A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4 \approx 27021.59\: \rm (in \: dollars)$

In second account, the final amount at the end of 5 years is evaluated as:

$A = 24000 + \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}$

Total amount after 5 years in these accounts = $27021.59 + 26880 = 53901.59$ (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

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2 years ago