You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
Answer:
2.4 x 10-₃
Step-by-step explanation:
the numbers with NO zeros should be first and the first number should be turned to a whole so like "2.4". Since there are 3 zeros (including the zero in the whole number place) you would write the 3 as the number in the right corner. And there is a minus sign beside the 3 because the Zeros are first. :)
Answer:
Step-by-step explanation:
There were 9 other people there. First you would subtract how much marcus paid from the total (134.03-20.45=113.58). After that you just divide the remaining cost with 12.62 (113.58/12.62=9)
Answer:
The constant of proportionality is 
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities
- If x and y are in directly proportion, then
, where k is the constant of proportionality.
- The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.
<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>
∵ Point (4, 18) lies on the line
∴ x = 4, y = 18
∵ The equation is y = kx
→ Substitute x by 4 and y by 18
∴ 18 = k(4)
∴ 18 = 4k
→ Divide both sides by 4 to find k
∴ 
∴ 
→ Simplify the fraction by dividing up and down by 2
∴ 
∴ The constant of proportionality is
