Answer:
The answer is option d.
To find a we have to first find b
sin 60° = b / 10
b = 10 sin 60°
b = 5√3
sin 30° = b / a
b = 5√3
a = 5√3 sin 30°
a = 10√3
cos 30° = c / a
a = 10√3
c = 10√3 sin 30°
c = 15
cos 60° = d /10
d = 10 cos 60°
d = 5
a = 10√3 , b = 5√3 , c = 15 and d = 5
Hopethis helps.
Slope=-5
as the line goes 5 down and 1 right
Answer:
There are 7,725 square feet of grass on the trapezoidal field
Step-by-step explanation:
Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.
What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.
To calculate this area, what we need to do
simply is to use the formula for the area of a trapezoid.
Mathematically, the area of a trapezoid can be calculated using the formula;
Area of trapezoid = 1/2 * (a + b) * h
where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.
From the question;
a, b = 81ft and 125 ft
h = 75 ft
Substituting these values, we have :
Area = 1/2 * (81 + 125) * 75
Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2
Find the nth term of each of the sequences.<br>
(a) 16, 19, 22, 25, 28, ...<br>
(b) 1,3,9,27,81,...
juin [17]
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
<h3>Explanation:</h3>
a) Add 3 on every number.
b) Multiply every number by 3.
Option A:

Solution:
Given data:
Center of the circle is (5, 3).
Radius of the circle = 4
To find the equation of the circle:
The general form of the equation of a circle in centre-radius format is

where (h, k) is the centre of the circle and r is the radius of the circle.
Substitute the given values in the equation of a circle formula:


The equation of the given circle is
.
Hence Option A is the correct answer.