Answer:
No, it is NOT a prime number.
Step-by-step explanation:
To find out if a number is a prime number, you can divide it by two. If it is a whole number, it isn't prime. It would be a mixed number/fraction if so.
<em>All prime numbers are whole numbers but the result of the division shouldn't be when you divide the number you want to find out. If it is a fraction/mixed number, your unknown number is most likely a prime number. (my explanation was confusing)</em>
Volume of the bottom cuboid = 5 x 6 x 3 = 90 ft³
Volume of the pyramid = 1/3 x 5 x 6 x 3 = 30 ft³
Total = 90 + 30 = 120 ft³
Answer:
8. Not similar
9. Similar
Step-by-step explanation:
8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.
9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.
Hope this helps!
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144
The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95
If you subtract it from the area of the square, you will get : 144 - 95 = 49.
So the answer is : the area of the square is 49 units largee than the area of the square (C)
