Complete Question
A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at 115 an angle 50 above the horizontal. Is it a home run?
Answer:
[tex]t=5.40sec[/tex]
Step-by-step explanation:
From the question we are told that
Height on hit [tex]H_h=3ft[/tex]
Height of center field fence [tex]H_f=10ft[/tex]
Distance from home plate [tex]D=400ft[/tex]
Initial speed [tex]v_0=115[/tex]
Angle [tex]\theta=50[/tex]
Generally the Parametric equation of the trajectory of a projectile are mathematically represented as
[tex]x=(v_0cos\theta )t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Therefore
[tex]x=(v_0cos\theta )t[/tex]
[tex]x=(115cos50\textdegree )t[/tex]
[tex]x=74t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Initial co_ordinates (0,3)
[tex]y=3+(115sin50\textdegree )t-\frac{1}{2} 32t^2[/tex]
[tex]y=3+88t-16t^2[/tex]
Generally its a home run when Y>10 and x=400
Time when x=400 is
[tex]t=\frac{400}{74}[/tex]
[tex]t=5.40sec[/tex]
what is the quotient of 8/9
and 2/3
Answer:
ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.
Step-by-step explanation:
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
WILL MARK BRAINLIEST PLS HELP MEE
Answer:
17.93
Step-by-step explanation:
y= 2.11x+5.27
x= the # of years
y=total
2000---->2006, six years have past
y=2.11(6)+5.27
y=17.93
What is the mean income of the following three people surveyed? Person A: S22,000, Person B: $31,000, Person :
$21,000. Round to the nearest $100
Answer:
$24,700
to get this answer you add all the numbers together so in this case 22,000 31,000 and 21,000 and you get 74,000 then you divide by how many numbers you originally had so in this case 3. so you get 24,666.666666667 and since the tens place is 5 or higher you round the hundreds up one so you get 24,700.
Here's the work
22,000+31,000+21,000=74,000
74,000÷3=24,666.666666667
which rounds to 24,700
Peter rolls 2 fair dica and adds tje result from each.worl out the probability of getting a total of 11
Answer:
6/11
Step-by-step explanation:
workout the highest common factor of 63 and 105
Answer: Detailed Answer:
The Greatest Common Factor (GCF) for 63 and 105, notation CGF(63,105), is 21. Explanation: The factors of 63are 1,3,7,9,21,63; The factors of 105are 1,3,5,7,15,21,35,105.
Step-by-step explanation:
Hope it helps!!!!!Simplify: |5.74 + 2.89| – |16.20 + 41.32|
Answer:
-48.89
Step-by-step explanation:
|5.74 + 2.89| – |16.20 + 41.32
|8.63| – |57.52|
= - 48.89
two walls are 10 ft long and the other 2 walls are 7 ft long what’s the total square foot of the room
Answer:
70
Step-by-step explanation:
10 * 7 = 70 square ft
Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?
Answer:
10,935 views
Step-by-step explanation:
We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...
i * [tex]3^{h}[/tex]
We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.
5 * [tex]3^{7}[/tex]
5 * 2187
10,935 views
plzzz help I picked A already and it was wrong
Answer:
probably C I'm terrible at math but that look about right
During a dry season it did not rain for
128 days. How many weeks and days is this?
11
PLZ HELP MY TEACHER IS GIVING ME SO MUCH WORK
If you walking on the sidewalk and your pencil falls how many toddlers did you eat last night with Tom Holland???
How do you figure out the square root of a number?
Answer:
Step-by-step explanation:
You have to find 1 number that equals the number you are given when you multiply it by itself.
for example a times a = b
Square root of 144?
12x12=144
We can calculate the square root of a number as follows -
A = √x
What is Square root?In mathematics, a square root of a number x is a number y such that
y² = x.
Given is number and it is asked to find its square root.
Assume the number whose square root is to be found be [x]. Then, we can calculate the square root as -
A = √x
For example -
x = 9
A = √9
A = √(3 x 3)
A = √(3)²
A = 3
Therefore, we can calculate the square root of a number as follows -
A = √x
To solve more questions on square root, visit the link below-
https://brainly.com/question/13305065
#SPJ2
Triangle JKL is similar to triangle MNO. Find the measure of side OM. Figures are not drawn to scale.
Answer:
16.8
Step-by-step explanation:
Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.
Answer:
16.8 is the measurement of OM
Step-by-step explanation:
In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.
Harper is making pudding cups for a big celebration. She made 5 pounds of pudding, but she needed to separate the pudding into individual 4 ounce cups. How many total individual pudding cups did Harper make?
Answer:
20 individual cups
Step-by-step explanation:
5 pounds is equivalent to (5 lb)(16 oz/lb) = 80 oz.
Dividing 80 oz by 4 oz, we get 20. Harper made 20 individual cups.
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answer:
i dont know the answer but good luck
Step-by-step explanation:
Which are equations? Check all that apply.
Answer:
numbers 1,4,6,7 are all equations
Step-by-step explanation:
just look for the equal sign if there's no equal sign then its an expression not an equation
Answer:
All of the equations are the ones with the equal signs (=)
I hope this helps!
How would I prove KM = HM?
Given that GJ is the perp bisector of HK
Answer: See step by step
Step-by-step explanation:
Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J is the midpoint we can construct a congruence statement of KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.
Simplify 15c−8d0
15
c
−
8
d
0
. Write your answer using only positive exponents.
Answer:
The expression is simplified to:
15/(c^8)
Step-by-step explanation:
I have attached an image to make the question clearer.
15c^(-8)d^(0).
Using the zero exponent property (a^0 = 1),
d^0 = 1. Therefore we have:
15c^(-8)(1) = 15c^(-8).
Using the negative exponent rule [a^(-r) = 1/(a^r)],
c^(-8) = 1/(c^8). Therefore we have:
15 x 1/(c^8) = 15/(c^8).
Therefore, The expression is simplified to: 15/(c^8).
An art class costs $45 for materials and then
$10 per class. Write an equation to represent
the total spent for any given number of art
classes. Identify your variables.
PLEASEE HELPP IM DESPERATE I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
The function below has at least one rational zero. Use this fact to find ALL zeros of the function.
g(x)=5x^3+x^2-20^x-4
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
help help help help help help
Answer:
1.parenthesis, exponents, multiplication, division, addition, subtraction (pemdas is the Oder of operations)
2. please enjoy my dish and seafood
3.14
4. 4
5. 5
6. 7
7.25
if you help i will say thank you
Answer:
C
Step-by-step explanation:
(5,-4)
Answer:
C
Step-by-step explanation:
(5,-4) by using elimination method
how Can I explain that 5/8 2/3 and 3/8 are in order?
3/5 + 1/5 pls help meee
Answer:
[tex]\frac{3}{5} +\frac{1}{5} =\frac{4}{5}[/tex]
Step-by-step explanation:
The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be [tex]\frac{4}{5}[/tex].
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
Select all the correct locations on the map.
Identify the three trade routes used during the Hellenistic era.
SCYTHIA
EUROPE
SINAE
AFRICA
ARABIA
INDIA
—
PLS HELP IM BEGGING 39 POINT
Answer:
The Correct answers are, the top two (a and d), and the very bottom one (c).
Step-by-step explanation:
I got the answers right in my test!
Have a great day!!
You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily
Answer:
$8800 might be wrong on that not sure
Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?
Answer:
12
Step-by-step explanation:
you take 108-12=96
then you take 96/8=12
Angle C has a measure of π/6 radians. A circle with a radius length of 10 inches is centered at Angle C's vertex. What is the length of the subtended arc along this circle?
 inches
Answer:
Step-by-step explanation:
arc length = rθ = 10·π/6 = 5π/3 ≅ 5.2 inches