The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.
Volume of the cube = 4 x 4 x 4 = 64 cubic cm
Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)
12 degrees. Carry On Learning.
Answer:
The total cost of 14 onions and 16 potatoes will be £6.10
Step-by-step explanation:
Let onion be n and potato by p
20n = £3.00
1n = £3.00/20
= £0.15
25p = £6.25
1p = £6.25/25
= £0.25
The cost of 1 onion is £0.15, and 1 potato is £0.25
Then the cost of 14 onion and 16 potatoes together will given as
14n + 16p
substituting the values of n and p, we will have
14*0.15 + 16*0.25
2.1 + 4
= £6.10
Width =3.5, length = 4
Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl
Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w
0 = 2w^2 - 3w - 14
which factors into
(2w - 7) (w + 2)
Solving for w
2w - 7 = 0
2w = 7
w = 3.5
w+2 = 0
w = -2
So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5
Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14
So the width is 3.5 and the length is 4.
Answer:
35, 67 and 78
Step-by-step explanation:
the angles are:
n, 2n-3 and 2n+8
there are 180 degrees in a triangle, so adding those terms together will give us 180
5n + 5 = 180
180 - 5 = 175
5n = 175
175 / 5 = 35
n = 35
now we have n we can put it in to the formula we have for the angles at the start:
n = 35
2n - 3 = 67
2n + 8 = 78
so the angles are
35, 67 and 78