Answer:
44 mph
Step-by-step explanation:
0.25 hour * 4 = 1
11 * 4 = 44
44 mph
Answer:
15¢
Step-by-step explanation:
$12.75 - 6 × $2.10 = $12.75 - $12.60 = $0.15
Answer: 15 cents
Answer:
50%
Step-by-step explanation:
10 kg of mixed nuts that contain 60% peanuts
60(10)
plus
15 kg of a different brand of mixed nuts. with x% peanuts
x(15)
=
That makes 25 kg with 54% peanuts
54(25)
--------------------------
Equation
60(10) + x(15) = 54(25)
600 + 15x = 1350
Subtract 600 from both sides
15x = 750
Diviede both sides by 15
x = 50
50%
The surface area of the prism is equal to the summed up area of the faces of the triangular prism.
The bases of the prism would be triangles with an unknown base, b, and height of 3. The area of the base is calculated through the equation,
A = bh/2
where b is base and h is height. Substituting the values,
A = b(3)/2
Since there are two bases, the contribution of the triangles for the surface area is,
2A = 3b
Next we calculate for the area of the triangle sides with length equal to b (same as the base of the triangle).
Area = b(12 km)
There are 3 sides such that the total area becomes,
Area = 36b
Hence, the surface area is,
48.735 km² = 3b + (36b)
The value of b from the equation is 1.25 km
<em>ANSWER: 1.25 km</em>
Answer:
The distance from hot air balloon to the ground
.
Step-by-step explanation:
Labelled diagram of given scenario is shown below.
Given that,
An angle of elevation of Hot air balloon by Angie is
°.
When she stepped back
then angle of elevation was
°.
Height of Angie is
.
To find: How far off the ground is a hot air balloon.
So, from figure
Height of Angie 
In triangle Δ
,
⇒ 
⇒
....................(1)
Now, In triangle Δ
⇒ 
⇒ 
Here, substituting the value
from Equation (1) we get,


⇒
⇒ 
⇒
Now, finding the value of
from equation (1)

Therefore Length of
= 
.
Hence,
The distance from hot air balloon to the ground
.