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elixir [45]
2 years ago
5

Sample Response: First, look at the side lengths a, b, and c, where c is the longest. Then take the sum of a squared and b squar

ed and compare it to c squared. If they are equal, the triangle is a right triangle. If c squared is less than a squared plus b squared, the triangle is acute. If c squared is greater than a squared plus b squared, the triangle is obtuse.
What did you include in your response? Check all that apply.

If a2 + b2 = c2, the triangle is right.
If c2 < a2 + b2, the triangle is acute.
If c2 > a2 + b2, the triangle is obtuse.
Mathematics
1 answer:
Pani-rosa [81]2 years ago
8 0
I’m a lil confused on this one
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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
Help! What is |-3|+|3| ?
kvv77 [185]
|a|=  \left\{\begin{array}{ccc}a&for\ a\geq0\\-a&for\ a \ \textless \  0\end{array}\right\\\\Examples:\\|2|=2\ because\ 2\geq0\\|0|=0\ because\ 0\geq0\\|-5|=-(-5)=5\ because\ -5 \ \textless \  0\\|-100|=-100\ because\ -100 \ \textless \  0

|-3| + |3| = 3 + 3 = 6
6 0
4 years ago
Please can someone explain how to work out this
wariber [46]

Answer:

T = 4B + 10C

Step-by-step explanation:

Since there are 4 doughnuts in a bag then there are 4B doughnuts in B bags

Since there are 10 doughnuts in a carton then there are 10C doughnuts in C cartons, thus summing the two quantities gives

T = 4B + 10C

6 0
3 years ago
Can anyone help me with my homework
DIA [1.3K]
GFBH is the code

1 is -3,-2 which is G
2 is 3,4 which is F
3 is 2,0 which is B
4 is 1,-3 which is H
5 0
3 years ago
Which equation can be used to determine the value of x?​
SSSSS [86.1K]

Answer:

choice 1) 2x + 40 = 180

Step-by-step explanation:

(x + 10) + (x + 30) = 180

2x+ 40 = 180

8 0
3 years ago
Read 2 more answers
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