Answer:
m<V = 11.2 degrees
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet.
From the triangle;
UV = hypotenuse = 6.2feet
WU = opposite = 1.2feet
Required
m<V
Using the SOH CAH TOA identity
sin m<V = opp/hyp
sin m<V = WU/UV
sin m<V = 1.2/6.2
sin m<V = 0.1936
m<V = arcsin(0.1936)
m<V = 11.16
m<V = 11.2 degrees ((to the nearest tenth of a degree)
Answer:A
Step-by-step explanation:
Answer:
4 days
Step-by-step explanation:
June starts on Monday
for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday
so we have 5 mondays and tuesdays
4 wed, thu, fri, sat, sun
Aliza played piano on june1 monday
So aliza played basketball on 5 tues + 4 thurs = 9 days
for calculating both basketball and paino
piano day should be on tuesday or thursday
from the below picture u can see pink dots are piano days
and yellow circles are both piano and basketball days
so on alternate weeks they are coinciding
so there are 4 days
Answer:
1. 4.66 gallons 2. 2.33 gallons 3. 1.55 gallons
Step-by-step explanation:
1. If her gallons cover is 250 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/250 = 4.66 gallons
2. If her gallons cover is 500 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/500 = 2.33 gallons
3. If her gallons cover is 750 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/750 = 1.55 gallons
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to
. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).