3 years ago

What is the sum of the arithmetic series below?

1 answer:

5 0

Our question transforms to finding the following sum : 3 + 7 + 11 + 15.... upto 15 terms

Use formula for sum of an AP series 

S = (n * (2a + (n - 1)d)) / 2 

n -> no of terms in AP series , so n = 15 
a -> first term in series, so a = 3 
d -> common difference, so d = 4 

Put all values for a, n, d and you will get the sum.

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Evaluate for f=3. 2f - f +7

CaHeK987 [17]

2(3) - 3 + 7 = 6 - 3 + 7 = 10

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3 years ago

Give that j ll k, what is the measure of the missing angle? A)30° B)40° C)60° D)120°

kondaur [170]

Missing angle is 60 degrees

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3 years ago

In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?

Katena32 [7]

Answer:

$XY = 4.9$

Step-by-step explanation:

Given

$XZ= 4$

$\angle Y = 45$

$\angle Z = 60$

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

$\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}$

In this case:

$\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}$

Cross Multiply

$XY * \sin(45) = 4 * \sin(60)$

$XY * 0.7071 = 4 * 0.8660$

Make XY the subject

$XY = \frac{4 * 0.8660}{0.7071}$

$XY = \frac{3.4640}{0.7071}$

$XY = 4.89888276057$

$XY = 4.9$ -- approximated

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3 years ago

It costs 3$ to bowl a game and 2$ for shoe rental. Complete the table for the cost of 5 games. Write an expression for cost of g

Lera25 [3.4K]

Answer: 5$ in all

Step-by-step explanation:

I added 3 + 2 dollars in all

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3 years ago

Read 2 more answers

Write each decimal as a fraction in lowest terms 0.255

Vesnalui [34]

Answer:

51/200

Step-by-step explanation:

To write a decimal as a fraction, you have to make the decimal the numerator, and put a multiple of ten with that number of zeroes in the denominator:

0.255 = 255/1000

Then we simplify

51/200

6 0

1 year ago