What you have here is a situation with two <em>similar triangles.
</em>The triangle in the lower left is similar to the triangle in the upper right - I've included an image with "cutouts" of those triangles so you can see the similarities. Similar triangles have a very important property: <em>the ratios of their corresponding sides are equivalent</em>. Here, we can set up a ratio between the sides of length 64 and x on the larger triangle, and the corresponding sides of length x and 36 on the smaller triangle. Setting the two equal to each other, we have
Multiplying both sides of the equation by 36 and x, we get
finally, we take the square root of both sides of the equation to find x:
Answer:
2+2 is 4 minus 1 is 3.
Step-by-step explanation:
Think about the question, you can't say that i am wrong.
Answer:
63.59 in²
Step-by-step explanation:
The formula to find the area of a square: a², where a is the side.
The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).
1) Find the diameter of the circle. The side of a square is the diameter.
a²
a = √81
a = 9
2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).
= 3.14 x 4.5²
= 3.14 x 20.25
= 63.585
3) Round off the result to the nearest hundredth.
= 63.59
Answer: there are 59059 lbs of gravel.
Step-by-step explanation:
In a mixture of concrete, there are four lbs of cement mix for each pound of gravel. This means that eight lbs of cement would be mixed for 2 pounds of gravel and 12 lbs of cement would be mixed for 3 pounds of gravel and 12. Therefore, the constant ratio of cement to gravel is 4:1
The total ratio is 4 + 1 = 5
If the mixture contains a total of 295295 lb of these two ingredients, then the number of pounds of gravel that are there is
1/5 × 295295 = 59059 lbs
Aimme is right. All the sides are obtuse. They do not equal exactly 90 degrees.
