Answer:
1) the football already reached the ground
2) t = 0.625 seconds
3) t = 1.46 seconds
Step-by-step explanation:
Data
initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²1) time, t = 2.25 s
To relate these variables we need to use the next equation:
H = Hi + Vi*t - 1/2*g*t²
H = 5 + 20*2.25 - 1/2*32*2.25²
H = -31 ft
that is, 31 ft under the line of reference. This means that the football already reached the ground
2) At the highest point the final velocity (Vf) is zero.
To relate these variables we need to use the next equation:
Vf = Vi - g*t = 0
Vi = g*t
t = Vi/g
t = 20/32
t = 0.625 s
3) When the football hits the ground, ΔH = -5 ft. Then:
ΔH = Vi*t - 1/2*g*t²
-5 = 20*t - 1/2*32*t²
0 = -16t² + 20t + 5
Using quadratic formula:
[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]
[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]
[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]
[tex] t_1 = -0.21 [/tex]
[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]
[tex] t_2 =1.46 [/tex]
The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds
Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2
Answer:
Step-by-step explanation:
Statements Reasons
1). M is the midpoint of segment AB 1). Given
B is the midpoint of segment MD
2). AM = MB and MB = BD 2). Definition of midpoint
3). MD = MB + BD 3). Segment Addition Postulate
4). MD = MB + MB 4). Substitution property of of Equality
5). MD = 2MB 5). Simplify
Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB
How would you prove that the triangle below is equilateral?
A. Shows all angles to be congruent
B. Show all sides to be congruent
C. Show at least two sides to be congruent
D. Show two sides are of equal measure
Please help me with this I need help
Answer:
B. Show all sides to be congruent
Answer:
B. show all sides are congruent
Step-by-step explanation:
pls help........................
Answer:
30 in
Step-by-step explanation:
idk how to explain, so yea:)
Can someone help me with this please
Answer:
63.6
Step-by-step explanation:
[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]
plz answer this asap
Easy way to get points: What is 1+2+3+4+5+6+7+8+9+10?
Answer:55
Step-by-step explanation:addition
find the inverse of A(r)=15+3r
Answer:
A(r)=15-3r
Step-by-step explanation:
switch the sign of 3r to make it -3r
koperasi sekolah membeli 5 lusin buku tulis dengan harga 30.000 tiap lusin. dari hasil penjualan itu koperasi memperoleh untung sebesar 30.000, maka harga jual satu buah buku tulis adalah
Answer:
c
Step-by-step explanation:
Answer:
letter C
Step-by-step explanation:
sorry if it's copy
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
A. 3 Gallons
B. 20 Gallons
C. 6 Gallons
D. 1 Gallon
A. 3 Gallons
Step-by-step explanation:
1/3÷1/9
1/3÷1/9=1/3 x 9/1
(Then Multiply)
1x9/3x1= 9/3= 3
3 Gallons of paint
3 Galoons of paint is needed to pain the total gate.
What is unit rate?Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.
Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,
Since,
1/3 gallons of paint is = 1/9 part of the gate,
Therefore,
1 gate = 1/3 x 9 = 3
Hence 3 Galoons of paint is needed to pain the total gate.
Learn more about unit rates, click;
https://brainly.com/question/29781084
#SPJ3
-7n2 + 5n + 2 = 0
Find the discriminant of each quadratic equation then state the number and type of solutions.
Answer:
Step-by-step explanation:
D=5^2-4*(-7)*2
D=25+56
D=81
two real rational solutions, since 81 is a perfect square
Jennifer is organising a street party. she needs to make 300 cakes. the recipe consist of : 50g icing, 150g butter, 120g caster sugar, 110g flour, 1 egg, 5h baking powder. this makes 12 cakes. how much of each ingredient will she need? kilograms.
Answer:
1.25 kg of icing sugar
3.75 kg of butter
3 kgs of caster sugar
2.75 kgs flour
25 eggs
125g baking powder
Step-by-step explanation:
300/12 x (weight of ingredient)
Answer:
1.25kg icing
3.75kg butter
3kg caster sugar
2.75kg flour
25 eggs
125g baking powder
Step-by-step explanation:
Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.
300/12 = 25
25 x 50 = 1250g = 1.25kg
25 x 150 = 3750g = 3.75kg
25 x 120 = 3000g = 3kg
25 x 110 = 2750g = 2.75kg
25 eggs
25 x 5 = 125g
I will give brainliest answer
Answer:
≈ 93.06 cm²
Step-by-step explanation:
Subtract the area of the rectangle from the area of the circle
area of circle = πr² = π × 8² = 64π cm²
area of rectangle = 12 × 8 = 108 cm²
Thus
shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )
Answer:
The area of the shaded region = area of the circle - area of the rectangle
area of circle = πr² = π × 8² = 201.14 cm²
area of rectangle = 12 × 2 = 24 cm²
shaded area = 201.14 - 24 ≈ 177.14 cm²
I need help
A.4
B.1/4
C.-4
D.-1/4
Answer:
The answer is C/-4.
Step-by-step explanation:
Mark me brainiiest.
Solve the formula A= 8/2 for r.
Answer:
The steps are :
[tex]A = \pi {r}^{2} [/tex]
[tex] \frac{A}{\pi} = {r}^{2} [/tex]
[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]
Therefore, the answer is B.
Answer: the answer is B.
a number t decreased by 2 is at least 7
Find the value of y
mZ1 = 2y + 8
Answer:
y=4
Step-by-step explanation:
Vanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.
Answer:
A) 24*m + 40 ≤ 256
B) She could leave the house running for at most 9 minutes
Step-by-step explanation:
The missing questions are:
Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.
Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.
A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:
24*m + 40 ≤ 256
B) Solving the previous equation:
24*m ≤ 256 - 40
m ≤ 216/24
m ≤ 9
What is 3lna+lnb−lnc written as a single logarithm?
Answer: here's the answer
which of the following sets of sides could NOT form a right triangle:
a 3 — 4 — 5
b 6 — 8 — 10
c 8 — 14 — 17
d 9 — 40 — 41
===================================================
Explanation:
Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = 5^2
9+16 = 25
25 = 25
We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2
This confirms a 3-4-5 triangle is a right triangle.
------
The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.
We can also see that choice D is a non-answer as well.
------
Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.
Let's see what happens when a = 8, b = 14, c = 17
a^2+b^2 = c^2
8^2+14^2 = 17^2
64+196 = 289
260 = 289 .... false equation
We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.
find the product of -8 (-12)
Answer:
-8(-12) = 96
Step-by-step explanation:
The word product, in mathematical terms, is the answer you get after multiplying something. So, to find the product of -8(-12), you have to multiply. A negative times a negative is equal to a positive, so -8 times -12 is equal to positive 96.
HEY PLEASE I NEED HELP IM OFFERING 30 POINTS
which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
(-4, 6)
Step-by-step explanation:
will mark bianleast plz plz i really need this
The histogram shows the number of books read by people participating in a local book club. Which statement is best supported by this histogram?
Six people read more than 2 books.
Six people read between 6 and 8 books.
Most people read 3–5 books.
Three people read zero books.
Answer:
Six people read more than 2 books.
Step-by-step explanation:
Hope that helps
Which interval contains a local minimum for the graphed
function?
O [-4,-2.5)
O 1-2, -1]
O [1, 2]
O [2.5, 4]
If BCDE is congruent to OPQR then BE is congruent to _____
Answer:
If BCDE is congruent to OPQR then BE is congruent to RO
Determine which equation has the same solutions as the equation below.
4x^2 + 32x − 28 = 0
A.) (x + 4)^2 = 23
B.) 4(x + 4)^2 = 36
C.) 4(x + 8)^2 = 28
D.) (x + 8)^2 = 57
The answer is A.) (x + 4)^2 = 23
Proof that I am correct
Find the volume. :D (MARKING BRAINLIEST)
Answer:
720 cubic units
Step-by-step explanation:
Answer:
360 cubic units
Step-by-step explanation:
volume of prism = area of base * height of prism
The base is a triangle with base = 6 ad height = 8
area of triangle = bh/2
V = bh/2 * height of prism
V = 6 * 8/2 * 15
V = 360 cubic units
Help my please please
Answer:
Rectangle:6+5=11(Odd)
Triangle:6+6=12(even)
Star:4+3=7(odd)
Pentagon:9+8=17(odd)
Hexagon:6+6+12(even)
Circle:4+4=8(even)
Step-by-step explanation:
Hope this helps:)
Answer:
odd, even
odd, odd
even, even
Step-by-step explanation:
Number the pictures starting from left to right and the down, then pictures 1, 3 4 are odd
2, 5, 6 are even.
what is the area of this triangle
Answer:
Probably b or e
Step-by-step explanation:
this took me a while to answer this.
Insert a digit to make numbers that are divisible by 24 if it is possible:
38__36
Answer:
Step-by-step explanation:
24=8×3
sum of digits is divisible by 3
and last three digits are divisible by 8.
3+8+3+6=20
if we add 1 then sum=21 which is divisible by 3,also 136 is divisible by 8
so 38136 is divisible by 24.
other number is 38736
t - 10 + t = 40 what is the value of t
Answer:
t = 25
Step-by-step explanation:
t - 10 + t = 40
2t = 40+10
2t = 50
t = 50/2
t = 25
Hope this helps.
Answer:
Step-by-step explanation:
