Answer:
(C) r=5.2 in
Step-by-step explanation:
firstly, we will draw diagram
we know that
centroid divides altitude into 2:1 form
so, we get
now, we can plug
h=7.794
so, option-C...............Answer
Answer:
0.5.
Step-by-step explanation:
Substitute x = -3 into the guiven function:
= 2(-3) - 1/2(-3) + 5
= -6 + 1.5 + 5
= -4.5 + 5
= 0.5
Answer:
<em>summation of five times negative three to the power of n from n equals zero to infinity</em>
Step-by-step explanation:
<u>Summation Notation
</u>
It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:
5-15+45-135+...
If we take 5 as a common factor, we have
5(1-3+9-27+...)
The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1
The summation is then represented by
This corresponds with the option:
<u>summation of five times negative three to the power of n from n equals zero to infinity</u>
Answer:
111 m²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.
The area of a rectangle = length * width
For rectangle 1, length = 12 m, width = 3 m
Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²
For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m
Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²
For rectangle 3, length = 15 m, width = 3 m
Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²
Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²
Answer:
y = -11.5
Step-by-step explanation:
2y = 18-41
Combine like terms
2y = -23
Divide each side by 2
2y/2 = -23/2
y = -11.5
