Hey there! I’m happy to help!
The surface area is basically the area of the surface of the shape. So, if you have a cube, it’s the area of all of the surface of the cube, not anything inside.
We see that we have a net of this square pyramid. If we fold it up, the square and four triangles will make up the surface of the 3D shape we see. So, we need to find the area of all of these shapes.
SQUARE
To find the area of a square, you multiply one of the sides by itself (all the sides are the same)
10(10)=100
TRIANGLES
To find the area of a triangle, you take the base and multiply the height and then divide it by two.
10(12)=120
120/2=60
Since we have four triangles, we multiply it by four.
60(4)=240
Finally, we add this all up.
240+100=340
Therefore, the answer is 340 square inches.
I hope that this helps! Have a wonderful day!
Answer: The distance from each side of the bench to the edges of the platform = 16.85 feet.
Explanation:
Length of platform = 40.75 feet
Length of bench = 7.05 feet
Let the distance from each side of the bench to the edges of the platform be x
So, it becomes x+7.05+x = 40.75
⇒2x+7.05= 40.75
⇒2x = 40.75- 7.05
⇒x = 33.7
⇒x=
⇒x= 16.85 feet .
So, the distance from each side of the bench to the edges of the platform = 16.85 feet.
<span>When converting a number with meters per second to a value with kilometers per second they best way to perform this operation is by using dimensional analysis or the factor label method. You would set up the equation starting with 5120 m/s times 1 km / 1000 m times 3600 s / 1 hr. It would look like this:
(5120 m/ 1 s) x (1 km / 1000 m) x (3600 s / 1 hr)
Your next step would be multiplying all the top numbers (numerators) together 5120 x 1 x 3600 = 18,432,000
Now multiple on the bottom numbers (denominators) together
1 x 1000 x 1 = 1000
Now you can divide the top product by the bottom product. 18,432,000 / 1000 = 18,432 km/hr is your final answer.</span>
Answer:
−1.5x+0.65
Step-by-step explanation: