Answer:
Step-by-step explanation:
surface area of cube = 6×8² = 384 cm²
lateral area of pyramid = surface area of pyramid - base area
= 384 - 8²
= 320 cm²
area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)
slant height = 20 cm
Answer:
x = 6
Step-by-step explanation:
Given
6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )
x² - 12x + 36 = 0 ← in standard form
This is a perfect square of the form
(x - a)² = x² - 2ax + a²
36 = 6² ⇒ a = 6 and 2ax = (2 × 6)x = 12x, hence
(x - 6)² = 0
x - 6 = 0 ⇒ x = 6
Answer:
14 yards
Step-by-step explanation:
the area of a triangle is 0.5×b×h
so
plug in what you have
0.5×b×3=21
(3x0.5)b=21
1.5b=21
b=21/1.5
b=14
Answer:
y = 0.3X + 18.3
Step-by-step explanation:
Given that data :
x = year ;
y = trunk diameter, in inches
Year ________trunk diameter
1 __ 18.6
3 __ 19.2
5 __ 19.8
7 __ 20.4
9 ___21.0
11 __ 21.6
13 __ 22.2
Using the linear regression calculator :
The linear equation obtained is :
y = 0.3X + 18.3
Where ;
Slope = 0.3 ; intercept, c = 18.3
The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Data;
- Amount Budgeted = R80,000
- Cost of each board = R134
<h3>Number of Street Boards in the Budget</h3>
The number of streets boards that can be produced in the budget is calculated by dividing the total amount budgeted by the cost of each street board. This is done mathematically as

We would have a total of 597 street names on the budget with some amount left.
We can calculated this by multiplying 597 by 134 and then subtracting the value from R80,000

The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Learn more on division of numbers here;
brainly.com/question/20301788