Answer:
0.7999989281
Step-by-step explanation:
x1 = cos^-1 (3/5)
x1= 53.13°
sin(53.13) = 0.7999989281
The measure of the angle x to the nearest hundredth is 22.62 degrees.
<h3>How to find the measure of an angle in a right triangle?</h3>
A right triangle is a triangle that has one of its angles as 90 degrees.
Therefore, the sides or angles can be found using trigonometric ratios, depending on the parameters given.
Hence, using trigonometric ratios,
cos x° = adjacent / hypotenuse
Therefore,
hypotenuse = 13 units
adjacent side = 12 units
Thus,
cos x = 12 / 13
cos x = 0.92307692307
x = cos ⁻¹ 0.92307692307
x = cos¹ 0.92307692307
x = 22.619864948
x = 22.62 degrees
Therefore, the measure of the angle x to the nearest hundredth is 22.62 degrees.
learn more on right triangle here: brainly.com/question/27996575
#SPJ1
Answer:
19596.74 yd ^ 2
Step-by-step explanation:
The first thing is to detect the data they give us, that value corresponds to the perimeter.
The perimeter has how it formulates:
p = 2 * pi * r
solving for r
r = p / 2 * pi
replacing
r = 496.12 / (3.14 * 2)
r = 79 and d
now the area is equal to:
a = pi * r ^ 2
replacing
a = 3.14 * 79 ^ 2
a = 19596.74 and d ^ 2
means that the area is 19596.74 yd ^ 2
Step-by-step explanation:
f(-1)=4*(-1)-2=-4-2=-6
g(-3)=-2*(-3)+1=6+1=7
f/g=-6/7
Answer:
.
Step-by-step explanation:
We have been an division problem: .
We will simplify our division problem using rules of exponents.
Using product rule of exponents we can write:
Substituting these values in our division problem we will get,
Using power rule of exponents we will get,
Using product rule of exponents we will get,
Using power rule of exponents we will get,
Using quotient rule of exponent we will get,
Therefore, our resulting quotient will be .