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Harman [31]
3 years ago
12

Determine the x- and y- intercepts for the graph equation y = -8

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0

Answer:

b. No x-intercept y-intercept is (0, -8)

Klio2033 [76]3 years ago
6 0

Answer:b

Step-by-step explanation:

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Nick has a box of ornaments. All of them are blue, exept for 6. All of them are green, exept for 6. All of them are red, exept f
jek_recluse [69]
Answer: 3 ornaments of each color

Step-by-step explanation:

There are 3 colors.
For each of the colors, the other two colors have 6 ornaments, hence we can determine that there are 3 ornaments of each color.


5 0
3 years ago
Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t
Karo-lina-s [1.5K]

Answer:

\displaystyle 10 + 12\sqrt{3} <em>metres</em>

Step-by-step explanation:

You are finding the <em>height</em><em> </em>of the building with an angle of elevation, therefore we need to solve for <em>EC</em><em> </em>to add it to <em>BA</em><em> </em>[10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ

We can now solve for <em>EC</em>:

\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC

<em>OR</em>

\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC

Now that you have solved for <em>EC</em>, you can now add it to your original 10 metres to get \displaystyle 10 + 12\sqrt{3} <em>metres</em>. As a decimal, you would get \displaystyle 30,78460969... <em>metres</em>. You can go ahead and round this off if necessary.

** The reason why the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio was used was because <em>EA</em><em> </em>is equivalent to <em>DB</em> by the definition of a rectangle. It has two pairs of parallel and congruent sides with <em>four</em><em> </em><em>right</em><em> </em><em>angles</em>. Plus, that is the <em>adjacent</em><em> </em><em>side</em><em> </em>of the triangle, while <em>EC</em><em> </em>is the <em>opposite</em><em> </em><em>side</em><em> </em>of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

8 0
3 years ago
A data set has a mean of 112 and a standard deviation of 2.5.
Ahat [919]

Answer with explanation:

Mean of the data set\mu = 112

Standard Deviation of the data set\sigma =2.5

Since , 50% of data lies on both side of the mean.

 Z at 50% = 0.1915

Margin of error for this data set

       =Z_{50 \text{percent}}\times\frac{\sigma}{\sqrt{\mu}}\\\\=0.1915 \times \frac{2.5}{\sqrt{112}}\\\\=0.1915 \times \frac{2.5}{10.58}\\\\=0.1915 \times 0.2362\\\\=0.0452    

Margin of error=0.045(approx)

4 0
4 years ago
Read 2 more answers
4(x + 3) − 7 ≥ x + 3(x + 1)
Galina-37 [17]

Answer:

The interval notation is

(-∞,∞)

Hope this helps!!

3 0
3 years ago
Which describes the angles in triangle ABC?
luda_lava [24]

Answer:

2 acutes and one right angle

Step-by-step explanation:

one right angle equals to two acutes and one right

5 0
3 years ago
Read 2 more answers
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