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Helga [31]
3 years ago
15

I need help -Geometry

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Step-by-step explanation:

We apply the pythagorean theorem on ABC.

AC^2=11^2+60^2 = 3600 + 121 = 3721

AC=61

Which means that sin(BAC) = 60/61.

However, sin^2(BAC) + cos^2(BAC)=1.

3600/3721 + cos^2(BAC) = 3721/3721.

cos^2(BAC) = 121/3721.

BAC is an acute angle so the cos is a positve number.

cos(BAC) = 11/61.

Lastly, x/60 = cos(BAC), so x= 660/61

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wariber [46]
.5 (50%) of 60 is 30. 130% of 80 is 104.
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3 years ago
How to graph exponential function<br><br> y=6^x-4
sladkih [1.3K]
That is an exponential function. It grows all over the range, from - ∞ to + ∞.

The limit when f(x) goes of - ∞ is zero, so y = 0 there is the asymptote to the left side.

The value of f(x) for x = 4 is 1: f(4) = 6 ^ (4 - x) = 6 ^ (4 - 4) = 6^0 = 1. So, the y intercept is y = 0.

The function grows as x goes to infinity.

You can finds some other values of the function to help to sketch the graph.

x             f(x) = 6 ^ (x - 4)

-100      6^ ( -104) = 1.18 * 10^ (-81)

- 10       6^ (-14) = 1.28 - 10^ -11

3           6^ (-1) = 1/6 = 0.17

4           6^0 = 1

14         6^ (10) = 60,466,176
7 0
2 years ago
I need help I know this isn't the right answer. thanks in advance ​
Ivenika [448]

Answer:

the first and third are equivalent

3 0
3 years ago
My circumference is 20 cm what is my diameter and radius?
Musya8 [376]

Answer:

The diameter of the circle would be: 6.4 cm. rounded or 6.36619772 cm.

The radius of the circle would be: 3.2 cm. rounded or 3.18309886 cm.

Step-by-step explanation:

<h3>The diameter can be solved using: D = \frac{C}{\pi }</h3>

So, the first step would be : D = \frac{20}{\pi }

Then : D = 20 ÷ \pi

Finally, the answer will be : 6.36619772 cm. or 6.4 cm.

<h3>The Radius can be Solved using: r = \frac{c}{2\pi }</h3>

The first step would be : r = \frac{20}{2\pi }

Then : 20 ÷ 6.2831853071796 (2\pi)

Finally, the answer will be : 3.18309886 cm. or 3.2 cm.

7 0
3 years ago
A sports shop has 60 employees. 20% of the employees work part-time. How many part-time employees does the sports shop have?
torisob [31]

Answer:

12

Step-by-step explanation:

60÷100=0.6 0.6x20=12

Therefore the sports shop has 12 part-time employees

8 0
2 years ago
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