Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Question
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36 
To find the height of the tent.
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where 
represents length, 
represents width and 
represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
Dividing both sides by 12.
∴ 
Thus, the height of the tent = 3 feet
Answer:
k = 7
m = 8
Step-by-step explanation:
the diagonals of a parallelogram bisect each other so:
k + 4 = 11
k = 7
m = 8
Y2-Y1 -5-4 -9 -3
——— = ——— = —– it can reduce (GCF: 3) ——
X2-X1 10-(-2) 12 4
The slope is -3/4
Answer:
The speed of the wind is 48.56
Step-by-step explanation:
We can use the following formula to calculate the distance:
distance = speed x time
Let w represent the speed of the wind.
If the plane flies with the wind, the speed will be the speed of the plane + the speed of wind. Since it can fly 910 miles, and the speed of the plane is 305
910 = (305 + w) x time (1)
If the plane flies against the wind, the speed will be the speed of the plane - the speed of wind. Since it can fly 660 miles, and the speed of the plane is 305
660 = (305 - w) x time (2)
Since the time is equal for both equation in 1 and 2:
= 
→ 910(305-w) = 660(305+w)
→ 277550 - 910 w = 201300 + 660w
→ 1570w = 76250
→ w = 48.56
Answer:
Step-by-step explanation:
sinx/6=sin90/19
sinx=6sin90/19
x=arcsin(6sin90/19
x=18 degrees
