Answer:
Step-by-step explanation:
Let the horizontal distance is x
<u>Use tangent to solve this:</u>
- tan 30° = 6/x
- x = 6 / tan 30°
- x = 10.4 mi (rounded)
Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9
to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9
= 
= 
= 
2) Now we need to convert
into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = 
Plugging the values of Distance and Time taken into the formula, we get
Speed = 
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
False because -5/11 should be add on both sides
Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
Factors of 270:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.
What are the factors of both 270 and 180?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Which one of these would give us the greatest amount of baskets possible?
Answer: 90 baskets.
I hope this helped you! c:
<u>Given</u>:
Given that the triangular prism with height 10 inches.
The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.
We need to determine the surface area of the prism.
<u>Surface area of the prism:</u>
The surface area of the prism can be determined using the formula,

where b is the base and h is the height of the triangle.
s₁, s₂, s₃ are the side lengths of the triangle and
H is the height of the prism.
Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;




Thus, the surface area of the triangular prism is 360 square inches.
Hence, Option b is the correct answer.