Answer: Cube A is larger. This is because volume is found by multiplying length × width × height. The length, width, and height of a cube are ALWAYS equal. Therefore if cube B has a length of 4.8 inches it also has a height of 4.8 inches and a width of 4.8 inches. To find its volume multiply 4.8×4.8×4.8 this will give you 110.592 cubic inches. This means cube A is larger.
Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
4x + 7y = 60
-4x + 7y = -4
------------------add
14y = 56
y = 56/14
y = 4
4x + 7y = 60
4x + 7(4) = 60
4x + 28 = 60
4x = 60 - 28
4x = 32
x = 32/4
x = 8
so ur solution is : (8,4)
Answer:
She has 2 1/24 meters of ribbon
Step-by-step explanation:
Skye has 12 1/4 meters of ribbon, and she uses 2/3 of that.
To know how much she uses we have to multiply the total by the fraction she uses:
12 1/4 * 2/3,
12 1/4 is the same as 49/4, so we can solve by multiplying the nominators and denominators:
49/4 * 2/3 = 49/6;
So she used 49/4 meters of ribbon or 8.167 m.
Now we are going to see how much ribbon is left by subtracting from the total what she used:
12 1/4 - 49/4 = 49/12 meters that she has left.
And out of those she uses 1/2, so we are going to multiply what she has left by 1/2:
49/12 * 1/2 = 49/24 = 2 1/24 = 2.04167 meters that she used of the remaining.
And because she used half she still has the other half of the remaining:
2 1/24 or 2.94167 meters.
