Answer:
5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
_____
You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.
<h3>The given expression as single exponent is:</h3>
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
In exponents,
When the base is same, exponents can be added
Which means,
Therefore,
Thus the given expression as single exponent is:
Answer:
a) 7/10
b) 1/6
Step-by-step explanation:
a) There are 10 ways to roll a 5 or less. Of those, 7 are greater than 3.
(die 1)(die 2) ∈ {11, 12, 21, 13, 22, 31, 14, 23, 32, 41}
p(>3 | ≤5) = 7/10
__
b) Of the 36 possible outcomes of rolling two dice, there are 6 ways to have a 6 and an odd number:
{16, 36, 56, 61, 63, 65}
The probability of interest is 6/36 = 1/6.
Answer:
4/3 k Km
Step-by-step explanation:
We are given that
On Monday
Mason ran distance =k Km
On Tuesday
Mason ran distance=
We have to find the expression which represents the distance ran by Mason on both days.
Total distance ran by Mason on both days
=
Hence, total distance ran by Mason on both days=4/3 k Km
Answer:
figure 1 - 10.5 unit^2
figure 2 - 12 unit^2
Step-by-step explanation:
<u>figure 1</u>
1. find the area of the rectangle
<em>3*2 = 6 unit^2</em>
2. find the area of the triangle
<em>(3*3)/2 = 4.5 unit^2</em>
3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.
<em>6 + 4.5 = </em><u><em>10.5 unit^2</em></u>
<u>figure 2</u>
1. find the area of the rectangle
<em>2*4 = 8 unit^2</em>
2. find the area of both triangles
<em>(1*4)/2 = 2 unit^2</em>
3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.
<em>8 + 2 + 2 = </em><u><em>12 unit^2</em></u>
