Answer:
21
Step-by-step explanation:
According to the diagram we can prove that the two triangle are congrunt use ing HL,so that 3x+9=45-6x
x=4
SO angel ABD is 21
<u>Given</u>:
It is given that the figure of the cone.
The radius of the cone is 2.3 m.
The height of the cone is 15 m.
We need to determine the volume of the cone.
<u>Volume of the cone:</u>
The volume of the cone can be determined using the formula,
where r is the radius and h is the height of the cone.
Substituting r = 2.3 and h = 15 in the above formula, we get;
Rounding off to the nearest hundredth, we get;
Thus, the volume of the cone is 83.05 cubic meters.
The correct answer is add the bases multiply height and divide by two
Answer:
2/15.
Step-by-step explanation:
The prime numbers in the first 10 numbers are: 2, 3, 5, 7 . That is a total of 4.
Prob( first number drawn is prime) = 4/10 = 2/5.
Prob( second number drawn is prime) = 3/9 = 1/3.
Required probability is 2/5 * 1/3
= 2/15.
Answer:
w ≥ 6
l ≥ 11
Step-by-step explanation:
The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.
34 ≤ 2*(5+w) + 2w
34 ≤ 10+2w+2w
34 ≤ 10+4w
24 ≤ 4w
6 ≤ w
This means the width must be at least 6 so the solution is w ≥ 6.
To find the length substitute 6 into l ≤ 5+w.
l ≤ 5 + 6
l ≤ 11
The length is l ≥ 11.
