Answer:
t = 2.28 s
Step-by-step explanation:
h = 105 - 9t - 16t ^ 2
0 ft = 105 ft - 9t -16^t
To find the roots of a quadratic function we have to use the Bhaskara formula
, the roots will give us the time it takes to reach zero height
ax^2 + bx + c = 0
-16^t - 9t + 105 ft = 0 ft
a = -16 b = -9 c = 105
t1 = (-b + √ b^2 - 4ac)/2a
t2 =(-b - √ b^2 - 4ac)/2a
t1 = (9 + √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t1 = (9 + √(-81 + 6720))/ -32
t1 = (9 + √6639)/ -32
t1 = (9 + 81.84)/ -32
t1 = 90.84 / -32
t1 = -2.83 s
t2 = (9 - √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t2 = (9 - √(-81 + 6720))/ -32
t2 = (9 - √6639)/ -32
t2 = (9 - 81.84)/ -32
t2 = -72.84 / -32
t2 = 2.28 s
we have two possible values, we are only going to take the positive one, beacause we are talking about time
t2 = 2.28 s
Answer:
D. LA
Step-by-step explanation:
The diagram shows two right triangles having a corresponding acute angle each which are congruent to each other. Also, the leg in ∆LMN is also congruent to the corresponding leg in ∆ABC.
This satisfy the LA Congruence Theorem. Therefore, both triangles are congruent based on the LA congreunce theorem.
Answer:
<u>29/48</u>
Step-by-step explanation:
3 5/8 Divided By 6= 29/48
Dividing fractions is simple if you know what to do, and how to multiply.
Here's how:
-----------------------------
<u><em>1. convert any whole number or mixed number into a fraction.</em></u>
<em>6 = 6/1.</em>
Whole number <u><em>x</em></u> denominator <u><em>+ </em></u>numerator = <em><u>29/8</u></em>
(3) (8) (5) (answer/original denominator)
-----------------------------
<u><em>2. Keep, Change, Flip (KCF)</em></u>
29 1
__ x __
8 6
With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.
---------------------------------------
<em><u>3. Multiply numerators and denominators</u></em>
29 x 1 = 29
__
8 x 6 = 48
29/48 is in it's simplest form.
Hence, your answer.
<h2><u><em>
Each wired piece was 29/48 of a yard.</em></u></h2><h2 /><h2 /><h2 /><h3><u><em>
P.S - Please let me know if i made any mistakes.</em></u></h3>
Answer:
Answer:
Step-by-step explanation:
1) One solution is to write, as our exponent:
2) Because this is special case of the Exponents Law, valid for every base ≠ 0.
3) Hence, including an exponent the numbers 6, 2 whose value is eight.
Therefore our expression is true
Step-by-step explanation:
