We have a triangle:
the side opposite the angle Ф is 4/5,
The side adjacent the angle Ф is 3/5
1) we calculate the hypotenuse, by the Pythagoras Theorem:
h=√[(4/5)²+(3/5)²]=1
2) we calculate the csc of Ф
csc Ф= hypotenuse / opposite side
csc Ф=1/ (4/5)=5/4
Answer: e. 5/4
Answer:
A rectangle
Step-by-step explanation:
The blue shape is a rectangle.
The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
Given, a rectangular plot of land that is 1,500 ft long and 600 ft wide the scale model of the park measures 7.5 ft x 3 ft.
The actual tennis court must be 120 ft long and 60 ft wide, then we need to find the dimensions of the tennis court in the scale model.
<h3>What is a scaled model?</h3>
A scale model is a physical model which is geometrically similar to an object. Scale models are generally smaller than large prototypes such as vehicles, buildings, or people.
First, divide the original measurements by the scaled ones. We get
1500 ft. ÷7.5 ft = 200
600 ft. ÷ 3 ft. = 200
Now, divide tennis courts actual dimensions by 200. That is
120 ft. ÷ 200 = 0.6 ft
60 ft. ÷ 200 = 0.3 ft
Therefore, the dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
To learn more about scale factor visit:
brainly.com/question/22312172.
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Given expression: 1/4 (16-12x).
Solution: We can see that 1/4 is in front of paranthesis.
That represents multiplication of 1/4 with (16-12x)
In order to 1/4 with (16-12x), we need to distribute 1/4 over (16-12x).
On distributing 1/4 over (16-12x), we get
1/4 (16-2x) = 1/4 * 16 + 1/4 * (-12x).
On multiplying 1/4*16, we get 16/4 and 1/4 * (-12x) = -12x/4.
16/4 could be simplify to 4 and -12x/4 could be simplify to -3x.
So, final answer would be 4 - 3x.
Therefore, second option is our correct option, that is 4 - 3x.
Answer:
A=777.54
Step-by-step explanation:
What you do is use the formula which is
a=2pirh+2pir^2.
The radius is half the diameter and the diameter is 15 so you take 15 and divide it by 2 to get 7.5.
The height is 9 m.
A=2(3.14)(7.5)(9)+2(3.14)(7.5)^2=777.54 m.
