Answer:
See below ~
Step-by-step explanation:
<u>3a : Area of the triangle</u>
- A = 1/2bh
- A = 1/2 x 10 x 8
- A = 5 x 8
- A = <u>40 m²</u>
<u>3b : Area of the semicircle</u>
- Finding the radius (equal to 1/2 of the triangle hypotenuse)
- Apply Pythagorean Theorem here
- √8² + 10² = d
- √64 + 100 = d
- d = √164
- d = 2√41
- r = √41
- A = πr²/2
- A = 3.14 x (√41)² / 2
- A = 1.57 x 41
- A = <u>64.4 m²</u> (nearest tenth)
Answer:
![\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-%5Cfrac%7B8%7D%7B%5Csqrt%7B117%7D%20%7D%20%5C%5C%5Cfrac%7B7%7D%7B%5Csqrt%7B117%7D%20%7D%5C%5C%5Cfrac%7B2%7D%7B%5Csqrt%7B117%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We are required to find a unit vector in the direction of:
![\left[\begin{array}{c}-8\\7\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-8%5C%5C7%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
Unit Vector, 
The Modulus of 
=
Therefore, the unit vector of the matrix is given as:
We can only look up the value in the normal distribution table if the probability of z is LESS than a certain value AND the value is positive.
If the probability of z is MORE than the value, then you need to do 1 minus the probability.
I.e. 1 - 0.93699
[0.93699 is found in the normal distribution table, searching for 1.53]
However, since the value (-1.53) is also negative, you need to do 1 minus AGAIN.
I.e. 1 - 0.93699
Since you have to do both, the answer should be obtained as follows:
1 - (1 - 0.93699) = 0.93699
Sorry for the terrible explanation :/
And apologies if anything is incorrect. Hope this helped though!
Answer:
what you mean
Step-by-step explanation:
The scale of the drawing is 6 feet = 17 inches
Scaling is the process of increasing or reducing the size of a figure by a factor k.
In the given statement is:
Shane made a scale drawing of a hotel. a room in the hotel, which is 18 feet wide in real life, is 51 inches wide in the drawing.
A figure which is 18 feet wide in real life, is 51 inches wide in the drawing, hence the scale is:
Now, According to the question is
18 feet = 51 inches
Divide both sides by 3:
6 feet = 17 inches
Therefore, the scale of the drawing is 6 feet = 17 inches
Learn more about The scale of drawing at:
brainly.com/question/21904606
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