Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the lake, the rock's distance from the lake's surface changes at a rate of -5 inches per second. If lisa holds her hand 5 feet above the lake's surface, how far from Lisa's hand is the rock 4 seconds after it hits the surface? Please show how you arrive at your answer
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game. The game cost $54.79. He
started the day with $210 in his bank
account. Looking at his receipts, he
has spent $87.35 at a clothing store,
$42.79 at a party store, and $25.68
at a gas station. Does he have enough
money to buy the video game? Beyond
estimating, explain your answer
mathematically.
Answers
Answer:
Justin does not have enough money because if you add up all the numbers you were given you get 155.82 and have 54.18 and the game costs 54.79. he is 61 cents off.
Step-by-step explanation:
Answers
H(t) = -16t^2 +vt + s
Where,
H(t) is the distance of the ball from the ground in feet,
t is the time in seconds,
v is the initial velocity of the ball as it is thrown up in feet/sec,
s is the distance of the ball from the ground when it was thrown in feet
Plugging in the given values,
0 = 16 t^2 + 35t + 0
This is a quadratic equation and the roots are:
0 and 2.19
ANSWER: 2.19 SECONDS
The equation used to solve this problem is this:
H(t) = -16t^2 +vt + s
Where,
H(t) is the distance of the ball from the ground in feet,
t is the time in seconds,
v is the initial velocity of the ball as it is thrown up in feet/sec,
s is the distance of the ball from the ground when it was thrown in feet
Plugging in the given values,
0 = 16 t^2 + 35t + 0
This is a quadratic equation and the roots are:
0 and 2.19
answer: 2.19 seconds
Answers
Answer:
m=-16
Step-by-step explanation:
To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-35=m-19
19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.
-35+19=m-19+19
-35+19=m
-16=m
Let's check our solution. Plug -16 back in for m in the original equation.
-35=m-19
-35=-16-19
-35=-35
Both sides of the equation are the same, so we know that m is equal to -16.
Answers
Answer:
950 People
Step-by-step explanation:
If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.
Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.
A) 56 cm
B) 49 cm
C) 14 cm
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We have P= (L+W)*2
⇒ 30 cm= (L+ 7 cm)*2
⇒ L+ 7 cm= 15 cm
⇒ L= 8 cm.
S= L*W= 8 cm* 7 cm= 56 cm^2.
The answer is A) 56 cm^2.
Hope this helps~
30 = 2(l+7)
30 = 2l + 14
30 - 14 = 2l
16 = 2l
8 = l
l = 8
w = 7
area = l x w = 8 x 7 = 56 cm²
- KL = MN
- LN = √(89)
- LH: altitude
- LM = 3
- KN = 13
Find: m∠LKN
See attached image.
Answers
Answer:
45 degrees
Step-by-step explanation:
If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8
LN = sqrt(HN^2 + LH^2) -->
LN = sqrt89 sqrt(8^2 + LH^2) -->
89 = 64 + LH ^2 -->
25 = LH^2 -->
LH = 5
Because HN = 8, HK = 13 - 8 = 5
That makes both legs equal, which makes m∠LKN = 45 degrees
The angle m∠LKN is equal to 45 degrees.
To understand more, check below explanation.
Trapezoid :
It is given that,
KL = MN, LM =3 , KN = 13 and LN
So that, HN = 13 - (13-3)/2 = 13 - 5 = 8
Since, HN = 8. So that, HK = 13 - 8 = 5
In a triangle, if two sides are equal. Then, opposite angle of both sides are also equal.
In triangle LKH, LH = HK = 5 and
So that, m∠LKN = 90/2 = 45 degree.
Hence, the angle m∠LKN is equal to 45 degrees.
Learn more about the trapezoid here: