Answer:
it has 1200
Step-by-step explanation:
because 900+300=1200
Answer:
Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.
Step-by-step explanation:
The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.
A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.
If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.
We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704
</span>
side a = </span><span><span><span>19.995925585
</span>
</span>
</span>
We could round that to 20
a = 20 b = 27 c =14
We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))
where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span>
<span><span><span>area = 135.9942553934
</span>
</span>
</span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm
Answer:
![g(x) = \sqrt[3]{x-1} - 2](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx-1%7D%20-%202%20)
Step-by-step explanation:
We want to find h and k in:
![g(x) = \sqrt[3]{x-h} + k](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx-h%7D%20%2B%20k%20)
At the inflection point, the second derivative is equal to zero, so:


Then x - h = 0.
Inflection point is located at (1, -2), replacing this x value we get:
1 - h = 0
h = 1
We know that the point (-2.5, -3.5) belongs to the function, so:
![-3.5 = \sqrt[3]{-2.5-1} + k](https://tex.z-dn.net/?f=%20-3.5%20%3D%20%5Csqrt%5B3%5D%7B-2.5-1%7D%20%2B%20k%20)
k ≈ -2
All data, used or not, are shown in the picture attached.