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monitta
3 years ago
8

The point P is on the unit circle. Find P(x, y) from the given information.

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0
I always understood the unit circle to have a radius of 1 and be centered on the origin (0,0).  That there are two x coordinates confuses me.  Neither 8 nor 17 is an x value for a line passing through the unit circle, so I'm going to guess "8/17" is the actual x coordinate (which is between -1 and 1).  P(8/17,y) = x^2 + y^2 = 1.

289/289 - 64/289 = 225/289.  The square root of that (positive since y is positive) yields 15/17.  P(x,y) = 8/17, 15/17.
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2 years ago
What is x given ABC~DBE.<br> Show your work
alexandr1967 [171]

x = 37.5 (or) \frac{75}{2}

Solution:

Given \triangle A B C \sim \triangle D B E

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\frac{BE}{BC} =\frac{DE}{AC}

$\frac{x}{25+x} =\frac{30}{50}

Do cross multiplication, we get

50x=30(25+x)

50x=750+30x

Subtract 30x from both sides of the equation.

20x=750

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) \frac{75}{2}

Hence the value of x is 37.5 or \frac{75}{2}.

5 0
4 years ago
2. Given f(x) = 4x -2 and g(x) = x2 + 1, evaluate:
Novosadov [1.4K]

Answer:

a).

f(5) = 18

b).

g(-3) = 10

c).

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d).

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3 0
3 years ago
In ΔNOP, the measure of ∠P=90°, PO = 77, NP = 36, and ON = 85. What ratio represents the cosine of ∠N?
Usimov [2.4K]

Answer:

36:85

Step-by-step explanation:

Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.

According to CAH

Cos∠N = Adjacent/Hypotenuse

Hypotenuse is the longest of the triangle |ON| = 85

Since the opposite side to ∠N is 77, the third side will be the Adjacent side.

Adjacent side will be |NP| = 36

Therefore:

Cos∠N = 36/85

The ratio that represents the cosine of ∠N is 36:85

3 0
3 years ago
Find the area of a circle with the diameter of 3 centimeters. Use 3.14 for pi ().
wlad13 [49]

Answer:

7.065 sq. cm

Step-by-step explanation:

Diameter= 3 cm

Since 2r=d, the radius is 1.5 cm

Circle area formula:

πr^2 --> 3.14(r^2)

Plug in r:

A=3.14(1.5^2)

A=3.14(2.25)

A=7.065

3 0
3 years ago
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