You can just multiply the top and the bottom by 2, to get the bottom to be 10. So you get -164/10. From here you can see that 10 goes into 164,16.4 times.
Therefore, -82/5 = -16.4
Answer:
Area of shape B = 312.5 cm²
Step-by-step explanation:
Ratio of Area of A : Area of B = 12² : 15²
Given that area of A is 200 cm², let the area of shape B = x
Therefore:
200:x = 12²:15²
200/x = 144/225
Cross multiply
144x = 200*225
144x = 45,000
x = 45,000/144
x = 312.5 cm²
Area of shape B = 312.5 cm²
Answer: See Explanation
Step-by-step explanation:
This worksheet seems to be about "Special Right Triangles"
In this worksheet, it instructs you to find the missing side lengths.
Explaining number 1)
Step 1) Identifying the triangle and what it means
Since the triangle in number one is a 45-45-90 triangle with the given side length of "1" on one of the legs of the triangle, it can be concluded that the other leg also has a side length of "1" (due to the ratio of side on a 45-45-90 degree triangle), is also states the triangle has 45 degrees labeled on one of the angles, is can also be concluded that the other missing angle is 45 degrees.
Step 2) Answer
The answer to b is 1 and the answer to a is square root of 2, due to the properties of a 45 45 90 triangle (refer attachment)
*you can also use the following attachment to help you on this problem
Answer:
1/2
Step-by-step explanation:
Answer:
A. 29 feet
Step-by-step explanation:
Use cos to find the hypotenuse
cos = adj/hp
0.64 = 20/hyp
hyp = 20/0.64
hyp = 31.25
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Use Pythagorean Theorem to find the height of tree above eyes
a² + b² = c²
a² + 20² = 31.25²
a² = 31.25² - 20²
a² = 576.5625
a = 24 (to the nearest foot)
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Finally add in the eye height
h = 24 + 5
h = 29 feet