Answer:
34.78 feet
Step-by-step explanation:
1) using the cosine function, I did cos(43)=x/51
This is because cosine is equal to adjacent over hypotnuse
Once I found x, I used the pythagorean theorem to get 34.78 feet
Answer: D) 0.733.
Step-by-step explanation:
Let C denotes the number of employees having college degree and S denote the number of employees are single.
We are given ,
Total = 600 , n(C)=400 , n(S)=100 , n(C∩S)=60
Then,
Now, the probability that an employee of the company is single or has a college degree is
Hence, the probability that an employee of the company is single or has a college degree is 0.733
A, rotated then reflected
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Answer: none of those, 276...?
Step-by-step explanation:
You need to know the least common denominator (LCD) of 12 and 23 if you want to add or subtract two fractions with 12 and 23 as denominators.
The least common denominator, also called lowest common denominator (LCD), of 12 and 23 is 276.
Here is a math problem example where you need to know the LCD of 12 and 23 to solve:
3/12 + 2/23 = ?
Step 1) Take the LCD and divide each denominator by it as follows:
276/12 = 23
276/23 = 12
Step 2) Multiply each nominator with the respective answers from Step 1:
3 x 23 = 69
2 x 12 = 24
Step 3) Put it all together to solve the problem:
69/276 + 24/276 = 93/276
= 3/12 + 2/23 = 93/276
It's that easy! Once again, the lowest common denominator (LCD) of 12 and 23 is as follows:
276
