Answer:
Step-by-step explanation:
<u>Use one of ratios to find the missing quantity:</u>
<u>Cross-multiply:</u>
- 5x = 17*11
- x = 17*11/5
- x = 37.4
Answer:
21.75
Step-by-step explanation:
Plugging in the variables, you'd get 24 - (20-4) over (4 + 4). Add the contents of the parenthesis and you'd get 24 - (18)/(8). You'd divide, and get 24- 2.25, or 21.75.
If you aren't supposed to simplify on this assignment, it would probably be 24 - 18/8, or if you use fractions 21 and 3/4.
Answer: 136 square feet
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Explanation:
The front face is a triangle with base 6 and height 4.
The area is 0.5*base*height = 0.5*6*4 = 12 square feet
The back face is also 12 square feet since the front and back faces are identical triangles.
So far we have 12+12 = 24 square feet of surface area.
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The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.
To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.
This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.
So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.
Answer:
64
mm² or approximately 201.06 mm²
Step-by-step explanation:
If the diameter is 16 mm, the radius will be 8 mm.
Use the circle area formula, A = r², where r is the radius. Plug in 8 as r:
A = r²
A = (8²)
A = 64
So, the area of the circle is 64 mm² or approximately 201.06 mm²
Answer: Hence, our required probability is 
Step-by-step explanation:
Since we have given that
Numbers in a lottery = 60
Numbers to win the jackpot = 7 numbers
We need to find the probability to hit the jackpot:
So, our required probability is given by
This is a combination problem as we need to select 7 numbers irrespective of any arrangements.
Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex
