Answer:
71829x
Step-by-step explanation:
Answer:
A.) x / 3 = 12 ----> x = 12(3) ----><em> </em><em>x = 36</em>
B.) 2x + 3 = 20 ----> 2x = 17 ----> x = 17/2
C.) 4/3x = 10/3 ----> x = 10/3 x 3/4 ----> x = 30/12 = 5/2
D.) -4x = -24 ----> x = -24/-4 ----> x = 6
E.) 2(x-4) = 10 ----> 2x - 8 = 10 ----> 2x = 18 ----> x = 9
F.) -0.5x + 1.1 = -2.9 ----> -0.5x = -4 ---> x = -4 / -0.5 ----> x = 8
Answer: The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²
More exactly: 10182 cm²
Step-by-step explanation: ![A=\frac{bh}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bbh%7D%7B2%7D)
240 × 84.85 = 10182
To get the height of the triangle, it takes some trigonometry;
Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula ![cos A =\frac{b^{2} +c^{2} -a^{2} }{2bc}](https://tex.z-dn.net/?f=cos%20A%20%3D%5Cfrac%7Bb%5E%7B2%7D%20%2Bc%5E%7B2%7D%20-a%5E%7B2%7D%20%7D%7B2bc%7D)
We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.
We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.
side a = 19, side b = 24, side c = 11
24² + 11² - 19² is 576 + 121 - 361 = 336
2(24)(11) = 528
cos A = 336 / 528 that is 0.636364
= 50.47°
sin(50.47) = 0.77129
0.77129 × 11 = 8.48 is the height Rounding to 8.5 would be reasonable for this height
Using rounded values here to calculate Area :
85 × 240/2 = 10200 cm²
So if it is 60 miles per hour it is basically 60 miles per 60 minutes.
when you simplify it, it is going to be 1/1=1 The answer is 1 mile per minute
Answer: The the speed of elevators is 22.55.
Explanation:
It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.
The speed is the change in distance with respect to time.
![\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Speed%7D%3D%5Cfrac%7B%5Ctext%7BTotal%20Distance%7D%7D%7B%5Ctext%7BTotal%20Time%7D%7D)
From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,
![\text{Average Speed}=\frac{1353}{60}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Speed%7D%3D%5Cfrac%7B1353%7D%7B60%7D)
![\text{Average Speed}=22.55](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Speed%7D%3D22.55)
Therefore, the speed of elevators is 22.55.