Answer:
The time it takes to hit a target that is 3 feet above ground is approximately 0.35 seconds
Step-by-step explanation:
The given parameters are;
The height of the arrow above the ground = 5 ft.
The height of the target above the ground = 3 ft.
The time it takes the arrow to fall to 3 ft. from 5 ft. above the ground is given by the free fall formula, since the arrow has no vertical velocity component
The equation for free fall is h = 1/2·g·t²
Where;
h = The height of fall = 5 - 3 = 2 feet
g = The acceleration due to gravity = 32.17405 ft/s²
t = How long it takes to fall (to its target)
∴ 2 = 1/2 × 32.17405 × t²
t² = 2/(1/2 × 32.17405) ≈ 0.1243
t = √0.1243 ≈ 0.353
t = 0.35 seconds, to the nearest hundredth
Therefore, the time it takes to fall 2 ft to hit a target that is 3 feet above ground = 0.35 seconds.
The time to hit the target is simply the period the arrow gets to the target from the arch.
The time to hit the target is 0.35 seconds
The height of a parabola is calculated as:
[tex]\mathbf{h = \frac{1}{2}gt^2}[/tex]
Where:
[tex]\mathbf{h =5 - 3 = 2}[/tex] --- the difference between the height of the arrow and the height of the target.
[tex]\mathbf{g = 32.2 fts^{-2}}[/tex] --- acceleration due to gravity
So, we have:
[tex]\mathbf{2 = \frac{1}{2} \times 32.2 \times t^2}[/tex]
Multiply both sides by 2
[tex]\mathbf{4 = 32.2 \times t^2}[/tex]
Divide both sides by 32.2
[tex]\mathbf{0.124 = t^2}[/tex]
Take square roots
[tex]\mathbf{0.35 = t}[/tex]
Rewrite as:
[tex]\mathbf{t = 0.35s}[/tex]
Hence, the time to hit the target is 0.35 seconds
Read more about rates and time at:
https://brainly.com/question/18798899
How did Washington react to failure?
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description? please help me fast
Answer:
i think its c
Step-by-step explanation:
what is 1/2 x2/5 =
and 3/4 x 5/9 =
1/5
5/12
Step-by-step explanation:Hi there !
1/2 × 2/5 = 1×2/2×5 = 2⁽²/10 = 1/5
3/4 × 5/9 = 3×5/4×9 = 15⁽³/36 = 5/12
Good luck !
Answer:
1/5
5/12
Step-by-step explanation:
These are the answers because:
1) Whenever we multiply fractions, we have to multiply the numerator with the numerator and the denominator with the denominator.
2) In this case it would be:
1/2 x 2/5 = 1 x 2/2 x 5 = 2/10 = 1/5
3/4 x 5/9 = 3 x 5/4 x 9 = 15/36 = 5/12
Hope this helps! :D
A newborn baby has about 26,000,000,000 cells. An adult has about 1.9 X 10^3 times as many cells as a newborn. About how many cells does an adult have? Write your answer in scientific notation.
Answer:
1900
Step-by-step explanation:
26,000,000,000 cells = 2.6 x 10^10 (baby cells)
An adult has about 4.94 times 10 to the thirteenth power
(4.94 x 10^13)/(2.6 x 10^10) = 1.9 x 10^3 = 1900
A zookeeper predicted the weight of a new baby elephant to be 245 pounds when it was born. The elephant actually weighed 277 pounds at birth. What was the percent error of the zookeeper's prediction?
Answ
Step-by-step explanation:
3200%
15. Show, using a numerical example, that the expressions (x+2) and x² + 4 are not equivalent.
Answer:
Check explanation below.
Step-by-step explanation:
For this, Ill assign X the value of 2.
(2+2)=(2^2+4)
[tex]4\neq 8[/tex]
I need help with this worksheet I don't understand from 12-14
Answer:
13.jawaban nya
c.
14.jawaban nya
A.
15.jawaban nya
c.
Find the distance between the pair of points, round to the nearest tenth if necessary.
Step-by-step explanation:
distance between the two points is given by formula
d=
[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } = \sqrt{( - 2 - 4)^{2} + {( - 3 - 0)}^{2} } = \sqrt{( - 6)^{2} + ( - 3)^{2} } = \sqrt{36 + 9} = \sqrt{45} = \sqrt{9 \times 5} = 3 \sqrt{5} [/tex]
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.
Answer:
the denominator in 6/9.75 is incorrect
Step-by-step explanation:
find unit rate then x 24 numerator. 24 the denominator,
the denominator in 6/9.75 is incorrect.
26 beats in 1/6 minute
Answer:
If you wanna know how many beats are in a full minute, the answer is 156 beats
Step-by-step explanation:
1/6*6=1
26*6=156
Pls answer for brainliest!
Answer:
h<2
Step-by-step explanation:
5×2h+5×8<60
10h+40<60
10h<60-40
10h<20
10. 10
h<2
Answer:
Step-by-step explanation:
5(2h + 8) < 60
10h + 40 < 60
10h < 30
h < 3
Just ignore ABCD but can someone help me with E AND G plzzz
Answer:
[tex]due \: to \: vertical \: opposite \: angel \: \\ 78 = x - 32 \\ 78 + 32 = x \\ 110 = x \\ \\ ....................................... \\ 2h + 44 = 126 \\ 2h = 126 - 44 \\ 2h = 82 \\ h = 41[/tex]
Please help!! Will Mark brainliest!!
9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68
Answer:
498,173.26.
Step-by-step explanation:
The place value of 9 in the number 3, 29,513 = 9000
In the required number,
Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000
The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2
The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06
Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.
Find the equation of a line that passes through the points (1,-3) and (3,-7).
Leave your answer in the form
y=mx + c
See attachment for math work and answer.
The last part is function but need help asap
Compute -8+2.8+7.3 find the answer
use the calculator but the answer is 18.1
30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!
Answer:
Its should be A.....
Step-by-step explanation:
(Ignore I have to write 20 characters lol)
How do you graph a piecewise defined function?
Answer:
hope it helps..
Step-by-step explanation:
1- Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain.
2- For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.
Could you please put the answer with the letter? Does not need to be in order too.
Answer:
54=n u=25 G=50 O=31 D=42
B=58 R=30 F=60
Step-by-step explanation:
hopefully, it's right
NEED HELP FAST
the submarine is at a depth of -166 2/7 feet when the scientists detect a signal frequency from the ocean floor. they dive farther down to a depth of -180 4/7 feet to check the signal. the net change in their depth is [] feet
Answer:
-24 2/7
Step-by-step explanation:
-180 4/7 -166 2/7
-180 -166 = -24
4/7-2/7 = 2/7
-24 2/7
Answer:
I hope this helps
Step-by-step explanation:
solve for b d=3a+3b
[tex]b = - a + \frac{1}{3} d[/tex]
The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussion. He talks to each student about their project for 5 minutes and then all of the class time is used up. Write and evaluate the expression that shows how many students are in the class.
Answer:
dunno if you still need this but the answer is (90-25-15)÷5
Step-by-step explanation:
Solve for f: 7a−3d+6f=5
In the picture lines AB and CD are parallel. Find the measures of ∠ECF.
Answer:
If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)
Step-by-step explanation:
After all markdowns and discounts, Charlene's prom dress cost her $22 before tax. The dress was on a rack labeled "50% off lowest marked price," and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?
Answer: $88.
Step-by-step explanation:
given data:
The cost of the dress for the prom = $22
label of the rack the dresss was on = 50%.
lowest marked price for the dress = 75%.
Solution:
if the lowest marked price of the cloth was already 75%.
and the current cost of the clothe is $22
the original cost of the cloth would be
100% – 75% = 0.25%
= $22 * 100 / 0.25%
= $88.
The original cost of the dress was $88
Answer:
$88
Step-by-step explanation:
I promise u your gonna have a bright future if u help me with this ! and I'll brainlist
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y =
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y =
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y =
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y =
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y =
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
when solving the equation x3 = 22.
Answer:
x=7 1/3
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST!!!
What does a correlation coefficient of 0.76between two assets indicate?
Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.
FOR THOSE WHO WANT A CHALLENGE owen has a collection of quarters nad nickels worth 8.10. if the nickels were quarters and the quarters were nickels, the value would be 17.70. find the number of each coin.
Answer:
Nickels: 67
quarters: 19
Step-by-step explanation:
It's fairly simple if you know how to use algebra