Answer:54
Step-by-step explanation:
Pentagon has 5 sides
n=5
Sum of interior angles=180(n-2)
Sum of interior angles=180(5-2)
Sum of interior angles=180x3
Sum of interior angles=540
Size of each interior angle =540/n
Size of each interior angle =540/5
Size of each interior angle=108
x=108/2
x=54
Answer:
The correct answers are:
1. No, because it does not lead the respondent to any particular answer (D)
2. The original question is not biased (D)
Step-by-step explanation:
In developing survey questions, response biases are tendencies for respondents to respond inaccurately or falsely to a particular question and this largely has to do with the way the questions are framed. Biased questions build preconceived thoughts in the mind of the respondent, increasing the tendency for them to lean towards a particular answer.
In this example, the question "How often do you eat fruit during an average week?" is not biased because it does not suggest to the respondent whether eating fruits is good or bad, it just directs the respondent to a particular number, hence the question is not biased.
Answer:
3
Step-by-step explanation:
5*3 is 15.
Answer:
1. 55.271 inches/lb
2. 3.075 inches/lb
3. The denser one is the pine, so it would be heavier.
Step-by-step explanation:
1. density of the pine log (which is a cylinder)
We need the weight/mass and the volume.
V(cylinder) = πr^2 * height
= πr^2 = π(5^2) = 25π = 78.54
= 78.54 * 30 = <u>2356 cubic inches</u>
The weight is 42.63.
Density = mass/volume = 2356/42.63 = <u>55.271 inches/lb</u>
2. density of the oak board (which is a rectangular prism)
We need the weight/mass and the volume.
V(prism) = l*w*h
= 5.5*1.5*3 = <u>24.75 cubic inches</u>
The weight is 8.05.
Density = mass/volume = 24.75/8.05 = <u>3.075 inches/lb</u>
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3. Picture a box made out of stone and a box made out of cardboard. Same dimensions, but the stone one would be way heavier because stone is denser.
Hey there :)
We know the area formula of a triangle
We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9
Apply the formula
56 =
× ( p ) × ( p - 9 )
56 =
× ( p² - 9p )
Divide
on both sides
56 ÷
= p² - 9p
112 = p² - 9p
Bring 112 to the other side and equate equation to 0
p² - 9p - 112
Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative
So, the length of the base is 16 mCheck:
56 m² =
× 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²
