B = 3h . . . . . . . .given by the problem statement
A = (1/2)bh . . . . formula for the area of a triangle
486 cm² = (1/2)*(3h)*h . . . substitute given information
(2/3)*486 cm² = h² . . . . . .multiply by 2/3
√324 cm = h . . . . . . . . . . . . . .take the square root
The height is 18 cm.
The base is 3*18 = 54 cm.
Answer:
5th term: 20
6th term: 23
Step-by-step explanation:
T5=3n+5
T5=3(5)+5
T5=15+5
T5=20.
T6=3n+5
T6=3(6)+5
T6=18+5
T6=23
T5= 20
T6= 23
Answer:
25
Step-by-step explanation:
<em><u>Formula</u></em>
Generally the formula is written as Area = side * side which is
<em><u>Givens</u></em>
side = s = 5
<em><u>Solution</u></em>
Area = 5 * 5
Area = 25 square inches.
Answer:
542
Step-by-step explanation:
We are required to find the sample size at 98% confidence interval in this question
E = 0.04
P* = 20% = 0.20
n = p* x (1-p)(Zα/2÷E)²
α = 1 - 0.98
= 0.02
To get Critical value
= 0.02/2 = 0.01
The critical value at 0.01 is 2.33
Inserting values into formula:
O.2 x 0.8(2.33/0.04)²
= 0.8 x 0.2 x 58.25²
= 542.89
The value of n must be an integer therefore the answer is 542.
Answer:
I do not agree with Sylvia
Step-by-step explanation:
Given
1 small box
64 triangle pattern blocks
Required
Is she right?
From the question, we understand that she fills the box with 64 blocks.
For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)
The reason for this is that, the volume of each box may not be 1 cubic unit.
So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.
Since, it is not stated, we will not make any assumptions.
<em>Hence, I do not agree with Sylvia.</em>
