Answer:
B:21
Step-by-step explanation:
Area of parallelogram=315=base ×hight .
base =x
hight= 15
15 × x = 315
x= 315/15
=21
To solve this, you first have to find the number of yards in one mile.
If three feet = 1 yard, and 5280 ft = 1 mile, all you have to do to find the number of yards in a mile is divide 5280 feet by 3 feet.
You end up with 1760 yards in 1 mile.
To find the number of yards in 2 miles, all you would have to do is multiply 1760 by 2
<h3>
1760 x 2 = <u>
3520 yards</u></h3>
Answer:
the object is in the air on the time interval (0.24 sec, 6.51 sec)
Step-by-step explanation:
The object is 'in the air' for all t such that h> 0. We need to find the roots of h = -16t^2 + 108t - 25 = 0. From the graph we see that both t values are positive. Once we find them, we subtract the smaller t from the larger t, which results in the length of time the object is in the air.
Use the quadratic formula to find the roots of h(t). The coefficients of t are {-16, 108, -25}, and so the discriminant b^2 - 4ac is
108² - 4(-16)(-25) = 11664 - 1600 = 10064, whose square root is 100.32.
Then the quadratic formula x = (-b ± √[b² - 4ac)/(2a) becomes
-108 ± 100.32 108 ± 100.32
t = ---------------------- = --------------------- = 3.375 ± 3.135
2(-16) 32
or t = 6.51 or t = 0.24 (both times expressed in seconds).
So, again, the object is in the air on the time interval (0.24 sec, 6.51 sec)
Answer:
D
Step-by-step explanation:
1. Remind that

Here you can use trigonometric table to find the value of
, or you can remind that
and
because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.
2. Now

because

I don't know 1 but 2 can be 2.3 over 4.5 I think sorry if it's wrong but I hope it helps