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Leno4ka [110]
3 years ago
15

Choose the pair of complimentary angles ​

Mathematics
1 answer:
kramer3 years ago
3 0

Answer:

Step-by-step explanation:

Complementary angles are those whose sum is =90°

so

A)  no

B)yes 

C)no

D)no

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John's patio is 5 feet long<br> and has an area of 1.30<br> square feet<br> How wide is the patio?
Sophie [7]

Step-by-step explanation:

so, I assume the patio is a true rectangle.

the area of a rectangle is

length × width

in our case that means

1.3 = 5 × width

width = 1.3 / 5 = 0.26 ft

so, this is just a very narrow strip of 0.26ft × 5 ft.

I would not call that a patio ...

or was it a typo, and the area is actually 30 ft² ?

then we would have

30 = 5 × width

width = 30 / 5 = 6 ft

7 0
2 years ago
Use a graph in a (-2π, 2π, π/2) by (-3, 3, 1) viewing rectangle to complete the identity.
yaroslaw [1]

First, notice that:

2\tan (\frac{x}{2})=2\cdot(\pm\sqrt[]{\frac{1-cosx}{1+\cos x})}

And in the denominator we have:

1+\tan ^2(\frac{x}{2})=1+\frac{1-\cos x}{1+\cos x}=\frac{1+cosx+1-\cos x}{1+cosx}=\frac{2}{1+\cos x}

then, we have on the original expression:

\begin{gathered} \frac{2\tan(\frac{x}{2})}{1+\tan^2(\frac{x}{2})}=\frac{2\cdot\pm\sqrt[]{\frac{1-\cos x}{1+cosx}}}{\frac{2}{1+\cos x}}=\frac{2\cdot(\pm\sqrt[]{1-cosx})\cdot(1+\cos x)}{2\cdot(\sqrt[]{1+cosx})} \\ =(\sqrt[]{1-\cos x})\cdot(\sqrt[]{1+\cos x})=\sqrt[]{(1-\cos x)(1+\cos x)} \\ =\sqrt[]{1-\cos^2x}=\sqrt[]{\sin^2x}=\sin x \end{gathered}

therefore, the identity equals to sinx

8 0
1 year ago
Which graph represents the equation -5x+4y&gt;-1?
galben [10]
<h3>Answer: Choice D</h3>

======================================================

Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\

This is false because -20 is not larger than -1. It's the other way around.

This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

6 0
3 years ago
Find four consecutive numbers whose sum equals 218
snow_tiger [21]

Answer:

53+54+55+56

Step-by-step explanation:

I don't remember equation but I know this is the because I can roughly estimate the numbers by dividing by four and going from there

3 0
3 years ago
72 inches=___ yards please and thank you for your help
I am Lyosha [343]

We know that:

1yd=36in\text{.}

Then:

1in=\frac{1}{36}yd\text{.}

Therefore:

72in=72\cdot(\frac{1}{36}yd)\text{.}

Simplifying the above result we get:

72\cdot\frac{1}{36}yd=2yd\text{.}

Answer:

72\text{inches}=2\text{yards.}

6 0
1 year ago
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