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Savatey [412]
3 years ago
14

Classify the following triangle. Check all that apply

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Its equilateral ( all sides are equalA0

Also its acute.

D and F

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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
Write an algebraic expression for the word expression.
max2010maxim [7]
1.  x+9
2. (b-5)+6
3. 15+5v
4. 2/3k
6 0
3 years ago
Read 2 more answers
Line segment CD is shown on a coordinate grid:
Lady_Fox [76]

Answer:

im pretty sure the answer would be C'D' and CD would be equal in length!

Step-by-step explanation:

because you are only reflecting it across the y-axis, no changes will be made to the line itself, only the location of the line :)

7 0
3 years ago
Read 2 more answers
Arpitha lined up the interior angles of the triangle along the line below. Triangle A B C. Angle C is 99 degrees. 2 lines extend
uysha [10]

Answer:

B

Step-by-step explanation:

Because i took the test

8 0
3 years ago
Read 2 more answers
Lets compare 5/6 and 7/9 also with same denominator
zysi [14]
The common denominator would be 18. So, 5/6 becomes 15/18 and 7/9 becomes 14/18
6 0
3 years ago
Read 2 more answers
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