Answer:
Approximately 
.
Step-by-step explanation:
Convert the angle of this sector to radians:
.
The formula 
relates the arc length 
of a sector of angle 
(in radians) to the radius 
of this sector.
In this question, it is given that the arc length of this sector is 
. It was found that 
radians. Rearrange the equation to find the radius of this sector:
.
The perimeter of this sector would be:
.
The value of the third angle that can be found in the information given about the congruent triangles will be 45°.
<h3>How to solve the triangle?</h3>
From the complete information, the angles that are given in the triangle are 76° and 59°.
It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:
= 180° - (76° + 59°)
= 180° - 135°
= 45°
Learn more about triangles on:
brainly.com/question/17335144
Answer:
$460
Step-by-step explanation:
let the number of melons be x
4x + 3x + 3x = 200 melons
10x = 200 so, x will be 20
4x = 80 melons
3x = 60
3x = 60
amount made by 1st child = 80 × $2 = 160$
the remaining melons are 60 + 60 = 120
amount collected: they sold them in groups of 2 and each group was $5. so,
120÷2 × $5 = $300
total amount = 300 + 160 = $460.
Answer:
84
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0
Then the discriminant is Δ = b² - 4ac
2k² = 10k - 2 ( subtract 10k - 2 from both sides )
2k² - 10k + 2 = 0 ← in standard form
with a = 2, b = - 10 and c = 2, thus
b² - 4ac = (- 10)² - (4 × 2 × 2) = 100 - 16 = 84
