Dory: $11.25= x+x+x+y+y+y or $11.25= (3*x)+(3*y)
Nemo: $10.00=x+x+x+x+y+y or $10.00= (4*x)+(2*y)
<span>This is your answer
</span>
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
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Answer:
<h2>cos 60° = 1/2 because the angles are complements</h2>
Step-by-step explanation:
Given sin 30° = 1/2, to check which of the statements is correct we will apply the Pythagoras theorem to a right angled triangle shown in the attachment.
using the SOH CAH TOA trig identity on the right angled triangle, ACD gotten from the equilateral triangle ABC;
From ΔACD, AD is the hypotenuse, DC is the opposite side to the angle 30° and AC is the adjacent.
From the diagram, sin30° = opp/hyp = DC/AD
sin30° = 1/2
Taking consideration of the acute angle 60°, the opposite side to the angle will be AC and the adjacent side will be CD.
According to CAH, cos 60° = adj/hyp = CD/AD
Given CD = 1 and AD = 2
cos60° = 1/2
This shows that sin30° = cos60° = 1/2
Note that ∠CDA and ∠DAC are angles complementary. Complementary angles are angles which have its sum to be 90°
M+(-12)=-8
m-12=-8
m=-8+12
m=4
Answer:
c = -2.4 or -12/5
Step-by-step explanation:
5c - 3 = -15
First we need to add 3 to both sides so,
5c - 3 + 3 = -15 + 3
so we can now solve it
5c = -12 then we divide 5 by both sides
c = -12 / 5
c = -2.4
The fraction form is -12/5
The decimal form is -2.4
Hope this helps!!