Answer:
Step-by-step explanation:
1 mile contains 5280 feet
x mile contains 792 feet Cross Multiply
5280 x = 792 Divide by 5280
x = 792 / 5280
x = 0.15 miles
1 hour = 3600 seconds
Distance travelled in 12 sec = 0.15 miles
3600 sec = x Cross Multiply
12x = 3600 * 0.15 Combine
12x = 540 Divide both sides by 12
12x/12 = 540/12
x = 45 miles / hour
Answer:
580
Step-by-step explanation:
4*100=400
4*40=160
4*5=20
add them all up, you get 580
Answer:
Step-by-step explanation:
Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.
*Two angles with measures that add up to 90° are known as Complementary angles.*
Therefore, m∠PQR+m∠RQS=90°
Subtract 48 from both sides:
<u>_______________________________</u>
Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
Answer:
y=-2x+12
Step-by-step explanation:
First, subtract 1/2 from each side
1/4y = -1/2x + 3 --> multiply each side by 4
y = -2x + 12 is your final answer
