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3 years ago

Given the two angles:

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer:

congruent, alternate exterior

Step-by-step explanation:

For the first question, the angles are congruent (they are not complementary because they dont add p to 90 degrees, and they are not supplementary because they dont add up to 180 degrees so they must be congrunet)

For the second- they are alternate exterior (i know that they are on the outisde so they are exterior)

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A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional

photoshop1234 [79]

Let the length be x and the width be w

The perimeter will be:
2x+3w=1500

thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x

The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²

The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.

Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m

The width will be 250 m

4 0

3 years ago

An angle is drawn in standard position passing through the unit circle at (0.643,0.766). The angle in standard position θ has a

Flura [38]

<h2>Hello!</h2>

The asnwer is: Cos50° ≈ 0.643

A unit circle is a cirgle with a radius equal of 1, knowing that, also know the following:

The angle is drawn passing trough the unit circle at (0.643,0.766) it means that:

$x=0.643\\y=0.766$

So,

Cos50° ≈ 0.643

We can prove that by following the next steps:

- If it's a unit circle,here is a right triangle with hypotenuse of 1,

$1^{2}=x^{2}+y^{2}$

$1^{2}=0.643^{2}+0.766^{2}$

$1^{2}=0.4134 +0.5867$

$1=1.0001=1$

- We can determine the cosine of the angle by the following formula:

$cos(\alpha)=\frac{x}{hypotenuse} \\cos(\alpha)^{-1}=cos(\frac{0.643}{1})^{-1} \\\alpha=49.98$

Therefore,

Cos(α)=49.98°≈50°

Also, if there is a right triangle, according to the Pythagorean Thorem:

$1^{2}=(Cos(\alpha))^{2}+(Sin(\alpha))^{2} \\Cos(50)=\sqrt{1-(Sin(50))^{2}}=0.6427$

Hence,

Cos50° ≈ 0.643

Have a nice day!

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3 years ago

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uranmaximum [27]

Answer:

Step-by-step explanation:

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jacob bought company stock when it was $62.51 a share. In one year the stock increased to $79.56 a share. how much did the stock

Ket [755]

$79.56- $62.51= $17.05.

The stock increased $17.05 in one year~

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4 years ago

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What's the unit rate if 12 pairs of socks sell for 5.79

vlabodo [156]

If 12 pairs of socks sell for $5.79, then the unit rate is 12 : 5.79. If we want to find a unit rate for one pair of socks, we need to divide 5.79 by 12:

5.79 / 12 = 0,4825

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