9514 1404 393
Answer:
100%
Step-by-step explanation:
The percentage change can be computed from ...
pct change = ((new value)/(old value) -1) × 100%
= ((1/2)/(1/4) -1) × 100%
= (2 -1) × 100%
= 100%
The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.
Answer:
A. The increase in the number of pounds a boy gains each year.
Step-by-step explanation:
A medical student is conducting a study to track boys’ weight from age 5 to age 18. The student graphs some data and determines the line of best fit is
y = 1.73x + 80.13 ............ (1)
where x represents the age of the boys and y represents the weight of the boy corresponding to his age.
Therefore, the slope of the equation (1) represents the increase in the number of pounds a boy gains each year. (Answer)
Answer
A = 46.3°
B = 75.7°
c = 3.5
Explanation
We will be using both Cosine and Sine rule to solve this.
For Cosine rule,
If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as
c² = a² + b² - 2ab Cos C
a = 3.0
b = 4.0
C = 58°
c² = 3² + 4² - 2(3)(4)(Cos 58°)
c² = 9 + 16 - (24)(0.5299)
c² = 25 - 12.72 = 12.28
c = √12.28 = 3.50
To find the other angles, we will now use Sine Rule
If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

So, we can use the latter parts to solve this

B = ?
b = 4.0
C = 58°
c = 3.5

We can then solve for Angle A
The sum of angles in a triangle is 180°
A + B + C = 180°
A + 75.7° + 58° = 180°
A = 180° - 133.7° = 46.3°
Hope this Helps!!!
TᕼE ᗩᑎᔕᗯEᖇ Iᔕ 15.2
EᔕᔕIE23^.^
Answer:
5.5
Step-by-step explanation:

Squaring both sides
