Answer:
16
Step-by-step explanation:
The ratio fo the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).
The length of the short leg is 8 cm.
The length of the hypotenuse is twice the length of the short leg.
g = 2 * 8 cm = 16 cm
Answer:
<h3>j= - 8</h3>
Step-by-step explanation:
- 9j + -11 = 61
-9j = 61 + 11
-9j = 72
j = - 8
Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation .
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is
This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:
and the equation of the line is
Since b=6, the y-intercept of the line is 6.
Let's simplify step-by-step.
23
p
+
43
p
−
13
p
=
23
p
+
43
p
+
−
13
p
Combine Like Terms:
=
23
p
+
43
p
+
−
13
p
=
(
23
p
+
43
p
+
−
13
p
)
=
53
p
Answer:
Let p represent the quantity of plates
Let c represent the quantity of cups
Cook 1: 4p + 5c = 25.25
Cook 2: 7p + 3c = 25.50
Use elimination method to solve:
-3(4p + 5c = 25.25) → -12p -15c = -75.75
5(7p + 3c = 25.50) → 35p +15c = 127.50
Add the equations: 23p + 0c = 51.75
Divide by 23 to solve for p: p = 2.25
Answer: the cost of plate is $2.25