4 years ago

Which is the value of g(-5) if g(x)=3.4x-8

Mathematics

1 answer:

Dennis_Churaev [7]4 years ago

6 0

G(-5) = -25

to solve:
g(-5) = 3.4(-5) -8

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The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin

Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that $x=rcos(\theta)$ and $y=rsin(\theta)$ where $\theta$ =angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

$x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi$

Now we will calculate the height of the building using the y equation and so:

$y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi$

The building is 0.034921 miles or approximately 184.3774 feet tall.

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3 years ago

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kati45 [8]

Answer:

Step-by-step explanation:

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3 years ago

All together, 3 people have 120 coins. mark has 3 times as many as joel, and joel has 1/2 as many as sandra. how many coins does

oksano4ka [1.4K]

Joel = j, Mark = m, Sandra = s
j + m + s = 120
m = 3j
j = 1/2 s --> s = 2j
plug in (substitute) each letter to make it in terms of only j: j + m + s = 120
j + 3j + 2j = 120
6j = 120
6j/6 = 120/6
j = 20
now plug in for the j & s equation:
s = 2j = 2(20) = 40
Therefore Sandra has 40 coins!

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3 years ago

What is the distance between the points (1, 3) and (9, 9)?

sashaice [31]

the answer is 10 units

$distance = \sqrt{(9 - 1) ^{2} + (9 - 3) {}^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = 10$