Given:
In a right angle triangle θ is an acute angle and 
.
To find:
The value of 
.
Solution:
In a right angle triangle,
We have,
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
In a right angle triangle,
Therefore, the value of is 
.
Answer:
Let y(x)="x is valid and x has true premises" and z(x)="x has a true conclusion".
Step-by-step explanation:
The universe U is the collection of all arguments so that x∈U. The statement uses the universal quantifier ∀ represented by the word "Every". The words "valid", "with true premises" and "has a true conclusions" are properties of an argument x.
We can interptet the statement as: "For all x, (x is valid and x has true premises)→(x has a true conclusion)". Symbolically, (∀x)(y(x)→z(x)). The implication → can be read as "if y(x) then z(x)".
<span>If line m is parallel to line k, then it has a slope of C)2/3</span>
Mercury travels a distance of 153 461 500 kilometers on its orbit.
<h3>How much distance did Mercury travel on its orbit?</h3>
The statement indicates that Mercury has a <em>circular</em> orbit and indicates the <em>central</em> angle covered by translation. The distance traveled is found by definition of <em>circular</em> arc:
s = (2.65 rad) · (57 910 000 km)
s = 153 461 500 km
Please notice that the radius of translation is the distance from the Sun to Mercury.
Mercury travels a distance of 153 461 500 kilometers on its orbit.
To learn more on circular arcs: brainly.com/question/11329794
#SPJ1
Answer:
- ∠ROK = 36°
- ∠CKO = 96°
- ∠C = 60°
Step-by-step explanation:
The same-side angles at each base are supplementary, so ...
∠ROC = 180° -120° = 60°
Because the trapezoid is isosceles, 60° also the measure of ∠C.
The angle sum theorem tells you ...
∠COK +∠ROK = ∠ROC
24° + ∠ROK = 60°
∠ROK = 36° . . . . . . subtract 24°
__
The sum of angles in ΔCKO is 180°, so ...
∠C +∠COK +∠CKO = 180°
60° +24° +∠CKO = 180°
∠CKO = 96° . . . . . . . . . . . . . subtract 84°
