Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
1.41 x 10^7 you move the decimal over to the left until you have a number between 1-9
Answer:
28.7 meters
Step-by-step explanation:
Draw a diagram. Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.
Using trigonometry, we can write two equations for the height of the tower:
h = d tan 65°
h = (d + 25) tan 35°
Setting these equal, we can solve for d.
d tan 65° = (d + 25) tan 35°
d tan 65° = d tan 35° + 25 tan 35°
d (tan 65° − tan 35°) = 25 tan 35°
d = 25 tan 35° / (tan 65° − tan 35°)
d ≈ 12.12
Now we can find x:
cos 65° = d / x
x = d / cos 65°
x ≈ 28.7
The wire is approximately 28.7 meters long.
We say that there are
girls. We equate the two expressions for the amount of sweets in the packet to get:
Subtracting 5x from both sides and adding 4 to both sides, we see that:
Since there are 7 girls, we have 7*6-4=38 sweets, using the first expression of the amount of sweets. To check our answer, we examine the second expression for the amount of sweets, for a result of 7*5+3=38 sweets. Since both of these amounts are equal, our answer seems to be correct. Thus, there are 38 sweets in a packet.
Answer:
Step-by-step explanation:
we know that
The given figure is a triangular pyramid
The volume of the triangular pyramid is equal to
where
B is the area of the triangular base
h is the height of the pyramid
Find the area of the base
The base is an equilateral triangle
Applying the law of sines to determine the area
Remember that
substitute
Find the volume
we have
substitute