Answer:
The order of the sides of the triangle from shortest to longest:
<u>BC , AC and AB</u>
Step-by-step explanation:
ΔABC, m∠A = 41° and m∠B = 62°
So, m∠C = 180° - ( m∠A + m∠B)
= 180° - ( 41° + 62°)
= 180° - 103° = 77°
Arranging the angles from the smallest to the greatest
∠A , ∠B and ∠C
We should know that
The shortest side is opposite to the smallest angle and vice verse.
So, the sides of the triangle in order of shortest to longest is as following:
<u>BC , AC and AB</u>
You do X2 + 15 and that will be your answer.
By the way, the 2 is a power and is meant to be smaller on top of the X.
Answer: D
Step-by-step explanation:
Let's simplify all the answer choices.
A) Divide 2 on both sides.
x < 13
B) This is already simplified.
x < 13
C) Divide by -3 on both sides, and you have to FLIP the sign because it is dividing by a negative number.
x < 13
D) This is already simplified.
x > 13
So D is the odd one out.
Answer: Formula used for pyramid is (V= 1/3 Bh SA: 1/2 P*l+B) Final answer is SA=110.4 V=64
Step-by-step explanation:
P= Perimeter
l= length
B= Base
To find the perimeter you add all the sides of the base. (4+4+4+4)=16
To find the length you can use Pythagorean Theorem which is a(squared) + b(squared) = c(squared) where c is the hypotenuse.
+
= ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
4+144=![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
164=![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
=x
x=12.8
To find the base it will be l*w (4*4)=16
Then you plug it in the formula for SA which will be
SA=1/2 16*12.8+16
SA=110.4
For Volume, it will be
V=1/3 Bh
V= 1/3 16(12)
V= 64
The given number arranged in order are:
9, 9, 10, 10, 12, 12, 14, 15, 15, 15, 17
1. To find the mean, add all the number together and divide the summation by 11[ which is the total number of the figures given]
Mean = [9 + 9 + 10 + 10 + 12 + 12 + 14+ 15 + 15 + 15 + 17] / 11 = 138 / 11
Mean = 12.5
Therefore, the mean is approximately equal to 13.
2. The median of a number refers to the number in the middle of a sorted set of number.
To find the median of a set of numbers, the numbers have to be arranged first in the correct increasing order and the number that falls in the middle will be the median. If two numbers fall in the middle, add the two together and find the average. For the set of number given above, the number that falls in the middle is 12.
Therefore, the median = 12.
3. The mode of a set of number refers to the number in the set, which has the highest frequency of occurrence, that is, it is the number that occur most. Looking at the set of number given above, 15 occurred three different times. Therefore, the mode of the set of number given above is 15.
Mode = 15.
4. The range of a set of number refers to the difference between the highest and the lowest numbers in the set of a given number. It represents the spread of the data. In the set of numbers given above the range is determined thus:
Range = 17 - 9 = 8.
Therefore, Range = 8.