Answer:
slope of staircase 1= 3/5
slope of staircase 2= -2/3 (i only put negative because the staircase is going upward in the left direction, but you can be the judge of whether it's positive or negative)
Step-by-step explanation:
hope this helps :)
Answer:
1/6
Step-by-step explanation:
2/3 of the bedspread is covered in race cars , therefore
1/3 of the bedspread is covered in stripes
2/4 of those 1/3 are red stripes
to find the fraction of the red stripes
2/4 x 1/3 = 2 / 12 = 1/6
Answer:
Step-by-step explanation:
A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.
A. The cost at the fitness center depends on the number of months (x).
The cost is the dependent variable, and number of months (x) is the independent variable.
f(x) = 100 + 40x
Example, the cost paid for 12 months can be determined as;
f(12) = 100 + 40(12)
= 100 + 480
= 580
Thus, $580 would be paid for 12 months at the fitness center.
B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.
The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.
So that;
f(x) = 1.69x
The cost of 10 pounds of lettuce can be determined as;
f(x) = 1.69(10)
= 16.9
Thus, the cost of 10 lb of lettuce is $16.90.
Answer:
Using the Sine Rule , which states that

In Δ ABC
∠A +∠B+∠C=180°→→Angle Sum Property of Triangle
72°+85°+∠C=180°
∠C=180° - 157°
∠C= 23°
All the angles are in degrees.

Using the table of Sine, Calculating Sine Values
Sin 72°= 0.9510
Sin 85°=0.996
Sin 23°=0.390

Among the five Options,
Option E: a= 15.09 and b=15.81 is approximately true.
About 0.3 degrees, by estimation.
The sixty-to-one rule is useful here. At a distance of 60 units, the angle in degrees and the distance (in units) are about equal for small angles.
Thirty to two inches is the same as sixty to four inches, about a third of a foot, so the angle must be about a third of a degree. Rounded it gives 0.3.
My horribly antiquated TI-82 thinks the answer is about 0.3183 by this methodtan−1(1/180)≈0.3183