Given:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.
Velvet purchased by first customer = 120 centimeters
Velvet purchased by second customer = 14 meters
To find:
The remaining velvet in Malik's shop.
Solution:
We know that,
1 meter = 100 cm
Using this conversion, we get
32 meter = 3200 cm
14 meter = 1400 cm
Now,
Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm
= 1680 cm
Therefore, the remaining velvet in Malik's shop is 1680 cm.
Answer is d) 20 cubic millimeters and I showed working in the pic
Answer:
7. 49
8. 10.4
Step-by-step explanation:
7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin
sin = opposite/hypotenuse
sin(x) = 6/8 = 3/4
sin-1(3/4) = 49
8) using the theorem that alternate exterior angles are congruent
the angle opposite side x is 30
tan = opposite/adjacent
tan(30) = x/18
x = 18tan(30) = 6√(3) = 10.4
you can also use 30-60-90 special right triangles.
the side opposite 30 is x
side opposite 60 is x√(3)
and side opposite 90 is 2x
