9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
Answer:
See below in bold.
Step-by-step explanation:
A). s(t)= -16t^2+64t+200
Converting to vertex form.
s(t) = -16 (t^2 - 4t) + 200
s(t) = -16 [(t - 2)^2 - 4] + 200
s(t) = -16(t - 2)^2 + 64 + 200
s(t) = -16(t - 2)^2 + 264
The maximum height is after 2 seconds and it is 264 feet.
B) The ball hits the ground when s(t) = 0 so we have:
-16t^2+64t+200 = 0
x [-64 +/- sqrt (64^2 - 4*-16*200) ] / -32
x = 6.06, -2.06
So the answer is 6.06 seconds.
Answer:
The actual area of the field in square kilometers is 
Step-by-step explanation:
Scale : 1 cm = 50000 km
Area of field on map = 
Now , 1 cm = 5000 km

We are supposed to find the actual area of the field in square kilometers.
So, the actual area of the field in sq. km =
Actual area of the field in sq. km 
Hence the actual area of the field in square kilometers is 
Answer:
780
Step-by-step explanation:
17 is the divisor, while 2635 is the dividend. So that,
= 155
The quotient = 155 = 1 hundreds, 5 tens and 5 units
Also,
2635 - 1700 = 935
Hence, let the unknown value be represented by x. Then;
935 - x
The answer of the subtraction should be equal to the quotient of the division.
935 - x = 155
935 - 155 = x
780 = x
Therefore the unknown value represented by a box is 780.
236 / 4=59 hoped this helped