Answer:
The answer is 216
Step-by-step explanation:
In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and the ball went twice as high as its initial horizontal distance from the hoop. What was the horizontal distance of the ball from Noli when it reached its maximum height?
Answer:
The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet
Step-by-step explanation:
The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet
The height of the hoop = 10 feet
The height from which the ball was thrown = 6 feet
The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop
∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet
The coordinates of points on the path of the ball are;
(0, 6), (7, 10), (x, 14)
The projectile in vertex form is y = a·(x - h)² + k
Where;
(h, k) = The x, and y-coordinate of the maximum height
The y-coordinate of the maximum height reached = k = 14 feet
The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height
At y = 6, x = 0, therefore, we get;
6 = a·(0 - h)² + 14 = a·h² + 14
6 = a·h² + 14
a = -8/h²
At y = 10, x = 7, we get;
10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14
10·h² = -8·(7 - h)² + 14·h²
-4·h² = -8·(7 - h)²
4·h² - 8·(7 - h)² = 0
-4·h² + 112·h - 392 = 0
h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)
h ≈ 4.1, or h ≈ 23.9
We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet
Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet
Which of the following is a geometric sequence?
ES EL PUNTO A. RPBHCGNDGE
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
y = -2x + 5
[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2
Step-by-step explanation:
3.What mathematical property is used to get the resulting
expression for each line? Complete the table below.
Line 1: (7 + 10x) + 3
Line 2:
(10x + 7) + 3
Line 3:
10x + (7 + 3)
Line 4:
10x + 10
Answer:
what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals
Principles of United Nations
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These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.
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A word where two vowels together blend their sound is a vowelrahim was getting his house build. He shared the design with his friend Anas. Anas pointed out that there were no ventilators in his house. What is your opinion Are the ventilators important? Why? What quality of Anas is evident in this case?
59,8x60,2 bằng bao nhiêu ạ
Answer:
3,6
Step-by-step explanation:
Help ASAP
order -3, 5, 16, and -10 from least to greatest. Then order the same numbers from closest to zero to fastest from zero. Describe how your lists are similar. Would this be true if the numbers were -3, 5, -16, and -10?
Answer:
List from least to greatest:-16,-10,-3,5
List from closest to zero to the very far:-3,5,-10,16
Step-by-step explanation:
In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...
PLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2
Which point on the
graph represents
the y-intercept?
Answer:
point B
Step-by-step explanation:
The y- intercept is the point where the graph crosses the y axis
Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the total amount charged by each company is same find the number of people going on holiday
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
Answer:
:>
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
Suppose a graph passes the horizontal line test: No horizontal line can be drawn that touches the graph in more than one location. Does this mean that the graph represents a function? If not, is there anything special about a graph that passes the horizontal line test? Share your ideas with a classmate.
Answer:
Step-by-step explanation:
If a function passes the horizontal line test, then we may conclude that the inverse of the function exists and can be found.
Use the distributive property to rewrite this expression, then simplify the new expression, if possible.
-3(y+2)
Answer:
-3y-6
Step-by-step explanation:
[tex]-3(y+2)=-3y-6[/tex]
Someone please help me!!!!!
Answer:
B is going to be half the intercepted arc
<ABC = 80
<CAB = 55
mARC(AB) = 90
mARC(BC) = 110
Step-by-step explanation:
I think of a number, double it and the result is 9. Evaluate the number that I first thought of
Answer:
4.5
Step-by-step explanation:
9/2 = 4.5
is -66 rational or irrational ?
Answer:
It's rational because it's not a decimal numbet
8c + 2(6 - 3c) - 7
How do I simplify this pls help
Answer:
2c+5
Step-by-step explanation:
Answer:
7c
Step-by-step explanation:
You do PEMDAS.
6-3c is 3c.
so itd be 8c + 2(3c) - 7
then id multiply 3c with 2 so its be6c.
then id add 6c with 8c, and its be 14c. then i subtract it with 7 and get 7c.
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).
Answer:
The question is incomplete, but after a small search I've found that the complete question is something like:
To celebrate something, a teacher will make pizzas for the class.
There are 30 students in his class and each pizza serves 8
Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?
In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.
The notation for a point in that graph is (x, y)
Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.
So, for example, the point (3, 2) means that:
for x = 3 pizzas, you need y = 2 cups of pizza sauce.
So, now let's find the number of pizzas that will feed the whole class.
There are 30 students, Each pizza serves for 8.
Then the number of pizzas needed is:
30/8 = 3.75 pizzas.
But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.
Then we could use point B, which is (4, 2.6)
This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.
So Julio should bring 2.6 cups of pizza sauce.
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
(B 4,26)
HELP PLEASE
i would really appreciate if someone answered this correctly!
Answer:
n-32
Step-by-step explanation:
edmentum
write in the form of p/q, 0.785 (bar on 85)
please to spam anything except answer....TOMORROW EXAM
The expression of 0.785 in the form p/q is 157/200
The ratio is defined as a way of dividing a variable by another variable.
For instance, p/q can be described as the ratio of p to q where p and q are integers.Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)
0.785 = 785/1000
Express in its simplest form
785/1000 = 157/200
Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.
Learn more on ratio here: https://brainly.com/question/19473677
Find the area of the quadrilateral.
Answer:
12cm^2
Step-by-step explanation:
The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area
The quadrilateral shown is a trapezoid
It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid
Now that we have identified the type of quadrilateral that the figure is, let's find the area.
Area of a trapezoid formula:
A = (a+b/2)h
Where a and b = bases and h = height
* Identify variable of quadrilateral shown*
( Note that each unit = 1cm )
The bases have lengths of 4 units (4cm) and 2 units (2cm)
The height can be represented by an imaginary line from a to c
From a to c is 4 units (4cm)
Now that we have identified the variables let's plug them into the formula
A = (a+b/2)h
a = 4
b = 2
h = 4
* Plug the variables into the formula *
A = (4+2)/(2)4
If you plug this into a calculator you get that the area is 12
If you need the work for evaluation here it is:
Evaluate using PEMDAS
Parenthesis
Exponents
Multiplication and Division ( left to right)
Addition and Subtraction ( left to right )
(4+2)/2 * 4
First step is to evaluate the operations inside of the parenthesis (4+2)
6/2 * 4
The next step is to evaluate exponents
There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right
First comes division
3 * 4
Then multiplication
A = 12.
CORRECT ANSWER WILL GET BRAINLIEST
ANSWER PLEASE
Answer:
B and C
Step-by-step explanation:
A is actually 5 so it is an integer and 0 is considered and integer.
how to locate square root 100 on number line
Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we find the square root of 100(for this we use a calculator)
[tex]\sqrt{100\\}[/tex] = 10
The square root of 100 is 10.
Now locate 10 on a number line.
Select the false statement
A. Vertical angles are always congruent
B.Vertical angles are sometimes complimentary
C.Two right angles are always supplementary
D. Angles that form a linear pair are sometimes supplementary. Plz answer ASAP
Answer: D. Angles that form a linear pair are sometimes supplementary.
That is not true, linear pairs are always supplementary.
Answer:
D. Angles that form a linear pair are sometimes supplementary.
~OAmalOHopeO
f(x)=-5x-4 and g(x)= -3x-2, find (f-g)(x)
Answer:
Step-by-step explanation:
(-5x-4)-(-3x-2)
-5x-4+3x+2
-2x-2
-2(x+1)
at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years
interest=4000
amount =6000
time =4yr
principal =6000-4000
=2000
interest=principal×time×rate/100
4000= 2000×4×r/100
4000=8000×r/100
r=8000-4000/100
r=2000/100
r=20
Answer:
12.5 %
Step-by-step explanation:
I = PRT
I is the interest, P is the Principle, R is the Rate and T is the time
The interest is 6000- 4000 = 2000
2000 = 4000* R *4
2000 = 16000R
Divide each side by 16000
2000/16000 = R
.125 = R
Changing to percent form
12.5 %
2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?
Help anyone can help me do this question,I will mark brainlest.
Answer:
22 mm
Step-by-step explanation:
Choose the inequality that represents the following graph.
Answer:
it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d
Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?
Thank you!
Answer:
$1.05 per yard
Step-by-step explanation:
5.25 ÷ 5 = 1.05
Answer:
$1.05 per yard.
Step-by-step explanation:
find unit rate; (cost / quantity)
5.25 / 5 = 1.05
CAN YALL HELP ME WITH PYTHAGOREAN THEOREM
Answer:
c=82
Step-by-step explanation:
Answer:
The answer is 82!
Step-by-step explanation:
(18)^2 + (80)^2 is 6724, which has a square root of 82.
Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!