Answer:
h ≈ 39 ft
Step-by-step explanation:
When we draw out a picture, we should see that we have to use cos∅ to solve this:
cos31.66° = x/46
46cos31.66° = x
x = 39.1542
Answer:
66.67% probability of selecting a black marble from the bag.
Step-by-step explanation:
Initially there are 16 marbles, 10 of which are black and 6 of which are red.
A red marble is drawn and not put back. So now there are 15 marbles, of which 10 are black.
So there is a 10/15 = 2/3 = 0.666% 7 = 66.67% probability of selecting a black marble from the bag.
Answer:
5.5 feet per second or 330 feet per minute
Step-by-step explanation:
550/100 seconds = 5.5 feet per second
5.5 x 60 = 330 feet per minute
Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
The answer would be <QRZ
Since you are looking for an angle congruent to <UQR using the alternate interior angles theorem, interior suggests that the angle must be inside the parallel lines, se we can get rid of options <WRT and <TRZ since they are exterior angles
Furthermore, in the alternate interior angles theorem, the two angles must be alternate or opposite of each other which would show that the only possible answer would be <QRZ
hope this helped!
