All categories

2 years ago

What is the measure of angley to the nearest whole degree? 58° 64° 68° 73°

Mathematics

1 answer:

dalvyx [7]2 years ago

7 0

Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°

<h3>What is the Law of Cosine:</h3>

Law of cosines is given as: y² = x² + z² – 2xz(cosY)

Given the following:

x = 12

y = 16

z = 17

Y = ?

Apply the law of cosines:

16² = 12² + 17² – 2(12)(17)(cosY)

256 = 433 - 408(cos Y)

256 - 433 = -408(cos Y)

-177 = -408(cos Y)

-177/-408 = cos Y

Y = cos^(-1)(177/408)

Y ≈ 64°

Learn more about law of cosines on:

brainly.com/question/7872492

You might be interested in

Ill give brainliest and 5 stars and thanks if answer this what is the result of substituting for y in the bottom equation

GREYUIT [131]

We have two set of solutions , ( $\frac{\sqrt{29} }{2}$ , $\frac{\sqrt{29} }{2}$ + 3 ) , ( - $\frac{\sqrt{29} }{2}$ + 3 , - $\frac{\sqrt{29} }{2}$ + 3).

<u>Step-by-step explanation:</u>

We have , the following equations:

$y = x+3$ and $y = x^{2} +2x -4$ . Let's substitute value of y in bottom equation:

⇒ $y = x^{2} +2x -4$

⇒ $x+3 = x^{2} +2x -4$

⇒ $x^{2} +x -7= 0$

Roots of quadratic equation are given by: a = 1, b= 1 , c = -7

$x = \frac{\sqrt{b^{2}-4ac} }{2a}$

⇒ $x = \frac{\sqrt{b^{2}-4ac} }{2a}$

⇒ $x = \frac{\sqrt{1^{2}-4(1)(-7)} }{2(1)}$

⇒ $x = \frac{\sqrt{29} }{2}$ which is actually x = ± $\frac{\sqrt{29} }{2}$ .

We know that $y = x+3$ ,

⇒ y = ± $\frac{\sqrt{29} }{2}$ + 3.

We have two set of solutions , ( $\frac{\sqrt{29} }{2}$ , $\frac{\sqrt{29} }{2}$ + 3 ) , ( - $\frac{\sqrt{29} }{2}$ + 3 , - $\frac{\sqrt{29} }{2}$ + 3).

5 0

3 years ago

Identify the conclusion of the following conditional: A number is divisible by 9 if the sum of the digits of the number is divis

Shtirlitz [24]

729/9=81
81/9=9
9/9=1
Hope I helped ;)

3 0

4 years ago

In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x - 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scal

Svetllana [295]

Answer:

x = 6, y = 4

Step-by-step explanation:

The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.

DH = HF ⇒ x + 2 = 2y
GH = HE ⇒ 4x - 3 = 5y + 1

x + 2 = 2y,

4x - 3 = 5y + 1

x = 2y - 2,

4(2y - 2) - 3 = 5y + 1

x = 2y - 2,

8y - 8 - 3 = 5y + 1

x = 2y - 2,

8y - 11 = 5y + 1

x = 2y - 2,

8y - 5y = 11 + 1

x = 2y - 2,

3y = 12

x = 2y - 2,

y = 4

x = 2*4 - 2,

y = 4

x = 6,

y = 4

5 0

2 years ago

A circle is inscribed in an equilateral triangle with a side length measuring 10 mm.

Tamiku [17]

For side length s the area of the triangle is
.. A = (√3)/4*s^2
The radius of the circle will be
.. r = s/(2√3)
so the area of the circle is
.. A = π*r^2 = π*s^2/12

The fraction of the triangle that is not in the circle is
.. 1 - (π/12)/((√3)/4)
.. = 1 -π/(3√3)
.. ≈ 39.54%

8 0

3 years ago

16. Find the final balance in an account with $730 invested at 3% annual simple interest for 4 years. (1 point) $735.48 $87.60 $

podryga [215]

Answer:

$817.60

Step-by-step explanation:

Simple interest has the formula:

Simple Interest = Principal * rate * time

here,

Principal amount is $730

The rate of interest is 3%, which is 3/100 = 0.03

The time length in years is given as 4

We find the interest amount first:

SI = P * r * t

SI = 730 * 0.03 * 4

SI = 87.6

We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST

So,

Final Balance = 730 + 87.6 = $817.60

7 0

3 years ago