9514 1404 393
Answer:
- 13 ft
- (a) 1 second; (b) t = 0, t = 1/2
Step-by-step explanation:
<h3>1. </h3>
Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
<h3>2. </h3>
(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
Answer:
The answer to your question is letter B
Step-by-step explanation:
Data
length = 12 in
width = 8 in
height = 16 in
surface area = ?
Formula
Surface area = 2( length x width) + 2(length x height) + 2((width x height)
Substitution
Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)
Simplification
Surface area = 256 + 384 + 102
Result
Surface area = 832 in²
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
The answer should be A which is:
<span>
If the measure of an angle is 90, then it is a right angle.
Original: true
Converse: true
</span><span>p is angel is right
</span><span> q is its measure is 90
</span><span>the statement is p then q
so the converse is q then p </span>
Answer:
The area is 522.935 square inches.
Step-by-step explanation:
A trapezoid's area is calculated as follows: h(b1+b2)/2
Plugging numbers in gives 34.3+12.6=46.9
so now all that's left is to multiply 22.3 and 46.9, and divide by 2.
This gives 522.935
Hope this helps!
3
Step-by-step explanation: