Answer:
the volume of the triangular prism is 1,185.6 in³
Step-by-step explanation:
To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length
Area of triangle =
× b×h
From the diagram ,the height of the triangle is given to be 10.4 in and the base is given to be 12 in.
We will now proceed to insert the values into the formula;
Area of triangle =
× b×h
=
× 12×10.4
=
× 124.8
=62.4
Area of triangle is 62.4 in²
From the diagram is given to be 19 in
Volume of triangular prism = area of triangular prism × l
=62.4 in² × 19 in
=1,185.6 in³
Therefore the volume of the triangular prism is 1,185.6 in³
Answer:
20
step by step explanation:
6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1
6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)
6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)
6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²
Answer:
Step-by-step explanation:
1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6
Now we can use this answer to help find out the amount remaining in the tank.
5 minutes = 5x6=30; 1000-30= 970 gallons
20 minutes= 20x6=120; 1000-120= 880 gallons
30 minutes=30x6=180; 1000-180= 820 gallons
27 minutes=27x6=162; 1000-162= 838 gallons
X minutes = 1000-6x
Rate of flow is 6 gallons per minute.
Hope this helps!
Answer:
I think it’s c
Step-by-step explanation: