Answer:
The value of x is 14.
Step-by-step explanation:
Given;
mid-segment of the trapezoid = 11
The mid-segment of trapezoid is calculated as;
Therefore, the value of x is 14.
Answer:
<h2>
12q</h2>
Step-by-step explanation:
Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;
dy/dx = naxⁿ⁻¹
Rewriting the given equation as P = 6q² + 3q⁰
Using the formula to find the derivative;
dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹
dP/dq = 12q¹ + 0
dP/dq = 12q
<em>Hence the derivative of the function P with respect to q is 12q</em>
Answer:
Measure of arc AE = 58°
Step-by-step explanation:
As shown: ABCD is a quadrilateral, ∠C = 119°
So, ∠C + ∠A = 180°
∴ ∠A = 180° - ∠C = 180° - 119° = 61°
ΔAGB is a right triangle at G
So, ∠A + ∠B = 90°
∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°
Arc AE opposite to the angle ∠ABG
So, measure of arc AE = 2∠ABG = 2 * 29° = 58°
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The circumference of a circle with an area of 50.3 m² is 25.12 m.
<h2>Further Explanation </h2><h3>Area </h3>
- Area is a measure of how much space is occupied by a given shape.
- Area of a substance is determined by the type of shape in question.
For example;
- Area of a rectangle is given by; Length multiplied by width
- Area of a triangle = 1/2 x base x height
- Area of a circle = πr². where r is the radius of a circle,
- Area of a square = S², Where s is the side of the square.etc.
<h3>Perimeter </h3>
- Perimeter is defined as the distance along a two dimension shape. Perimeter of different shapes is given by different formulas
For example;
- The perimeter of a rectangle = 2(length+width)
- The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.
- The Circumference of a circle = 2πr , where r is the radius of the circle
In this case;
The Area of a circle = 50.3 m²
π = 3.14
But; Area of a circle = πr²
Therefore;
3.14r²= 50.3 m²
r² = 50.3/3.14
=16.019
r = √16.019
= 4.0023
≈ 4.00
But;
Circumference of a circle is given by 2πr
Thus;
Circumference = 2 × 3.14 × 4.00
= 25.12 m
Keywords; Perimeter, Area, Area of a circle, Circumference of a circle
<h3>Learn more about:</h3>
Level: Middle school
Subject; Mathematics
Topic: Area and Perimeter
Sub-topic: Area and circumference of a circle