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3 years ago

Solve this problem on paper using all four steps. Enter each answer separated by a comma, in numerical order.

Mathematics

1 answer:

salantis [7]3 years ago

4 0

Answer:

27, 28, 29 and 30

Step-by-step explanation:

Let the integers be:

n, n + 1, n + 2 and n + 3

Their sum is 114:

n + n + 1 + n + 2 + n + 3 = 114

Solving for n:

4n + 6 = 114
4n = 108
n = 108/4
n = 27

The numbers are: 27, 28, 29 and 30

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The slope of a line is 58, and the line passes through the point (−8,−4).

nadezda [96]

Answer:

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Step-by-step explanation:

y=mx+b

We are given m=58 so we have

y=58x+b

We are given (-8,-4) is a point on the line.

-4=58(-8)+b

-4=-464+b

460=b

So the line in slope intercept form is y=58x+460

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kati45 [8]

The Question is Incomplete The complete question with figure is below.

Answer:

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

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AB = 10 cm

∠A = 30°

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b = ?

Solution:

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$\tan A = \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

Substituting the values we get

$\tan 30 = \dfrac{BC}{AC}\\\\\tan 30 = \dfrac{5}{b}$

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$

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