<h3>SOLUTION : </h3>
The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is 
. Similarly when angle is theta ,
Now substitute respective values , from the given data ,
This is our required answer!
1. To solve this problem, you must apply the formula for calculate the area of the trapezoid, which is:
A=(B+b)h/2
A is the area of the trapezoid (A=69.6 in²).
(B+b) is the sum of the bases of the trapezoid.
h is the height of the trapezoid (h=8.7 in).
2. When you clear the sum of the bases (B+b), you have:
A=(B+b)h/2
2A=<span>(B+b)h
</span><span> (B+b)=2A/h
</span> (B+b)=2(69.6 in²)/(8.7 in)
(B+b)=16 in
3. The problem says that <span>the sum of its legs is equal to the sum of its bases, therefore, the perimeter is:
</span>
Sum of the legs=Sum of the bases (B+b)=16 in
Perimeter=16 in+16 in
Perimeter=32 in
Answer:
See below for an explanation
Step-by-step explanation:
I'm unsure of your answer choices, so I'll show you how to solve for the remainder of the whole triangle:
Since we are given a hypotenuse of 5 and a side length of 4 which is adjacent to ∅, the trig function to solve for ∅ would be cosine because cos∅=adjacent/hypotenuse (SOHCAHTOA). This means cos∅=4/5 and taking the arccos (the inverse of cosine aka. cos^-1) of both sides gets us ∅=36.87°
Side AC can be solved by using the Pythagorean Theorem since a²+b²=c² can be turned into 4²+b²=5². We would then have 16+b²=25 which is also b²=9, thus taking the square root of both sides gives us b=3 (since distance is positive). Thus, side AC has a length of 3 units.
∠A can be found by using the Triangle Angle-Sum Theorem. Since all the interior angles of a triangle must add up to 180°, then ∠A+∠B+∠C=180°. We know that since ∠B=36.87° and ∠C=90°, then we have the equation ∠A+36.87°+90°=180°. Combining like terms on the left side gets us ∠A+126.87°=180° and subtracting on both sides get us ∠A=53.13°
<u>Final sides and angles of the triangle:</u>
∠A=53.13°
∠B=36.87°
∠C=90°
BC=4
BA=5
AC=3
Answer:
4
Step-by-step explanation:
27-6=21 1
21-6=15 2
15-6=9 3
9-6=3 4
