Answer:
SAS, Triangle ABC is congruent to triangle DEF.
Step-by-step explanation:
We name triangles with a triangle symbol and in alphabetical order. To write a statement, name each triangle and place a congruent sign between them.
To determine what postulate, look at the arrangement of congruent parts which is side-angle-side. This is SAS.
Answer:
Explanation:
Here, we want to find the time the rocket will hit the ground
What we have to do is to substitute 0 for the height of the rocket y and solve the quadratic equation that results
That simply means we are solving for:
We can use the quadratic formula to solve this
![x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a is the coefficient of x^2 which is -16
b is the coefficient of x which is 149
c is the last number which is 108
Substituting the values, we have it that:
![\begin{gathered} x\text{ = }\frac{-149\pm\sqrt[]{149^2-4(-16)(108)}}{2(-16)} \\ \\ x\text{ = }\frac{-149\pm\sqrt[]{29113}}{-32}\text{ } \\ \\ x\text{ = }\frac{-149-170.625\text{ }}{-32} \\ or\text{ } \\ x\text{ = }\frac{-149_{}+170.625}{-32} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149%5Cpm%5Csqrt%5B%5D%7B149%5E2-4%28-16%29%28108%29%7D%7D%7B2%28-16%29%7D%20%5C%5C%20%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149%5Cpm%5Csqrt%5B%5D%7B29113%7D%7D%7B-32%7D%5Ctext%7B%20%7D%20%5C%5C%20%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149-170.625%5Ctext%7B%20%20%20%7D%7D%7B-32%7D%20%5C%5C%20or%5Ctext%7B%20%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149_%7B%7D%2B170.625%7D%7B-32%7D%20%5Cend%7Bgathered%7D)
Now, we proceed to get the individual x-values:
Since time cannot be negative, we use the first value only
Answer:
Hope this helps you to understand, to do the problem and for future problems!
Step-by-step explanation:
All you have to do is take the numbers, add them, then divide them by how much there are. Once you did that if its a negative you just turn it positive bc its absolute.
The surface area of the solid formed is about 598.33 in²
<h3>What is an
area?</h3>
Area is the amount of space occupied by a two dimensional shape or object.
1 5/6 in = 11/6 in, 8 2/3 in = 26/3 in
Hence:
Surface area = 5(10 * 10) + (0.5 * 10 * 26/3) + 3(10 * 11/6) = 598.33 in²
The surface area of the solid formed is about 598.33 in²
Find out more on area at: brainly.com/question/25292087
