Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
Answer:
b. the symbol has or equal to
Step-by-step explanation:
Required
When does an inequality have a solid line
The question is pretty straightforward and the answer is (b) which means that when the symbol has or equal to.
This implies that, the symbol could be:
> or = i.e. 
and it could also be:
< or = i.e. 
Take for instance:
and 
<em>The above expressions will have a solid line</em>
Answer:
4 (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Step-by-step explanation:
Here, given The perimeter of the square = (36 x+44)
Now,as we know :
PERIMETER OF SQUARE = 4 x ( SIDES)
Simplifying the perimeter expression.
Take 4 common out of the expression (36 x+44), we get:
(36 x+44) = 4 (9 x + 11)
⇒ Perimeter of the square = 4 x (9 x + 11)
⇒4 x ( SIDES) = 4 x (9 x + 11)
⇒ Each Side = (9 x + 11)
Hence, 4 x (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Answer:
Step-by-step explanation:
-4/5÷1/3= (-4/5)x(3/1)= -12/5=-2 2/5
Answer:
-2
Step-by-step explanation:
6^2 = 36
5 x 6 = 30
36 - 30 - 8 = -2