Answer:
25 + 8 x month
5 + 12 x month
Let me know if I was correct if not I have another way... Hope this helps!
Answer:
∠ 2 = 70°
Step-by-step explanation:
110° and ∠ 1 are corresponding angles and congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°
Answer:
<h2>The line that forms the shadow is 10.26 meters long, approximately.</h2>
Step-by-step explanation:
This problem is about a right triangle, becasue the truck and its shadow are perpendicular.
We are gonna call
the distance of the shadow on the ground, as the image attached shows.
To find the answer, we need to use Pythagorean's Theorem, where the hypothenuse is 11.2 meters, and one leg is 4.5 meters.
![(11.2)^{2} =x^{2} +(4.5)^{2} \\x^{2} =125.44-20.25\\x=\sqrt{105.19} \approx 10.26](https://tex.z-dn.net/?f=%2811.2%29%5E%7B2%7D%20%3Dx%5E%7B2%7D%20%2B%284.5%29%5E%7B2%7D%20%5C%5Cx%5E%7B2%7D%20%3D125.44-20.25%5C%5Cx%3D%5Csqrt%7B105.19%7D%20%5Capprox%20%2010.26)
Therefore, the line that forms the shadow is 10.26 meters long, approximately.
Answer:
5
Step-by-step explanation:
The first statement "<span>y varies directly as x" means that as y increases, x also increases. To help us we need to assign a proportionality constant, k. We can now say:</span>
y=kx where k is just a constant. Then substitute the values,
180=kn
n=5k
With these equation we know that k is equal to (positive or negative) 6 and therefore we can get n to be (positive or negative) 30.