Answer:
The ball will be at a height of 3 feet above the ground after 3.729 seconds.
Step-by-step explanation:
Let suppose that the tennis player has hit the ball vertically, meaning that ball will experiment a free fall, that is, an uniform accelerated motion due to gravity. The time taken by the ball in terms of its initial velocity ([tex]v_{o}[/tex]), in feet per second, initial position ([tex]x_{o}[/tex]), in feet, final position ([tex]x[/tex]), in feet, and gravitational acceleration ([tex]g[/tex]), in feet per square second is described by this second order polynomial:
[tex]x = x_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)
If we know that [tex]x_{o} = x = 3\,ft[/tex], [tex]v_{o} = 60\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the time needed by the ball to be at a height of 3 feet again is:
[tex]3\,ft = 3\,ft + \left(60\,\frac{ft}{s} \right)\cdot t + \frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right)\cdot t^{2}[/tex]
[tex]-16.087\cdot t^{2}+60\cdot t = 0[/tex] (2)
[tex]t^{2} - 3.729\cdot t = 0[/tex]
[tex]t \cdot (t -3.729) = 0[/tex]
The binomial contains the time when the ball will be at a height of 3 feet again. In other words, the ball will be at a height of 3 feet above the ground after 3.729 seconds.
Quadrilateral ABCD has two pairs of parallel opposite sides and the m∠A=90°. Classify quadrilateral ABCD.
Answer: Rectangle
Step-by-step explanation: A rectangle has opposite sides which are parallel and congruent and a rectangle must have a right angle
Olivia download music for $1.89 per song. She has a credit on her account for $3. Which expression could be used to represent the cost of the music if Olivia downloads m songs?
Answer:
Answer 3 (1.89m - 3)
Step-by-step explanation:
Since we know that the price per song is $1.89, that is going to be the part of the equation that goes with the variable.
Since she has a 3 dollar credit, this will reduce the cost of whatever amount of songs she is buying by 3 dollars, which means the second part of the equation is -3. You have your answer, 1.89m - 3.
BRAINLIEST!!! please help!!!
Find the probability that the next student will select hamburger for lunch. You must write your answer as a fraction.
Answer: 12/40
Step-by-step explanation:
Basically you gotta add up all of the number of students who are getting each of the food, then you have to put the number of student that want a hamburger. You also have to create the fraction which is 12/40
Step-by-step explanation:
Total = 8 + 12 + 14 + 6 = 40
The amount of people who had a hamburger is = 12
So twelve over forty will be the probability of the next student who picks a hamburger
Answer:
12/40
The solids are similar. Find the missing dimension.
Ellie is interested in getting a new phone. One phone company, phone 1 charges a monthly fee of 6$. They also charge 0.10$ per minute. Another company, phone 2, charges 5$ for a monthly fee and 0.25$ per minute. Write an equation for the total cost of each phone bill, where y is the total cost and x is the total number of minutes on the phone. Which company will allow Ellie to talk the longest is she only wants to spend 22$ a month
Answer:
Phone 1 will allow Ellie to talk the longest
Step-by-step explanation:
Phone 1:
(0.10x) + 6 = y
(0.10x) + 6 - 6 = 22 - 6
0.10/0.10x = 16/0.10
x = 160 minutes
Phone 2:
(0.25x) + 5 = y
(0.25x) + 5 - 5 = 22 - 5
0.25/0.25x = 17/0.25
x = 68 minutes
The area of a rectangle is 126 cm 2 squared. If the length of the rectangle is 14cm, what is the width?
Answer:
126/14
9 is the answer
width=area/breadth
Step-by-step explanation:
hope this will help you
6.
Match the graph with its equation.
A. 7x + 7y = 49
B. –7x +7y = –49
C. 7x – 7y = –49
D. 7x + 7y = 0
Answer:
B. –7x +7y = –49
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept:
(
0
,
−
7
)
x
y
0
−
7
1
−
6
20 POINTS!!
dont answer unless you know
Answer:
b
Step-by-step explanation:
a
it is A because a variation equation needs numbers and variables
The difference of the two numbers is 1.Their sum is 23.find the numbers
Answer:
11 and 12
Step-by-step explanation:
The two numbers will be called x and y. The sum of x and y is 23 and the difference is 1.
x + y = 23
x - y = 1
Add the equations together
x + y + x - y = 23 + 1
2x = 24
x = 12
y = x - 1
y = 11
how do you draw on essay questions on online school pls help ASAP
Answer:
i dont think that you can
perhaps attatch a file of a drawing to the question you are answering for school
Step-by-step explanation:
Answer:
Answer the question according to general rules of academic writing. Use indentations; begin each paragraph with a topic sentence; support the topic sentence(s) with reasons and/or examples; use transition words to show logical organization; write a conclusion. Use correct punctuation throughout.
Step-by-step explanation:
i dont know is this what u meant lol
multiple choice/ please help!!!
Answer:
All are right answer
But one is not (C)
There will no cot
i need help please i’ll give u a brainliest for the correct answer
Answer:
75.4m²
Step-by-step explanation:
The shape shown is a cylinder
The volume of a cylinder can be calculated using this formula:
[tex]V=\pi r^2h[/tex]
where r = radius and h = height
The cylinder shown has a radius of 2m and a height of 6m
Using this information we plug in the values into the formula
[tex]V=\pi 2^26\\2^2=4\\4\pi =12.56637\\12.56637*6=75.39822[/tex]
So the area of the cylinder is 75.39822
Our final step is to round to the nearest hundredth
The final answer would be 75.4m²
Asking again because last time I didnt get an actual answer. What is the surface area of this composite figure?
Answer:
644 cm^2
Step-by-step explanation:
10*7*2+12*7*2+12*10=140+168+120=428
10*12-3*3=111
428+111=539
8*3*4+3*3=96+9=105
539+105=644
Which statements are true? Check all that apply.
The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction.
The ratio of the measure of the central angle to the measure of the entire circle is Five-halves.
The area of the sector is 250 units².
The area of the sector is 100 units².
The area of the sector is more than half of the circle’s area.
Answer:
1, 3, 5
Step-by-step explanation:
just took the edge.
The area of the sector is 250 units². Therefore, the correct option is option A among all the given options.
What is sector of circle?A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also called as an arc) and two of its radii meet, a sector is produced. A sector of such a circle resembles a piece of pizza or a pie in shape.
A circle ranks among the most ideal shapes in geometry. The simplest geometric shape is that of a circle's sector. It has a number of its own components. such as sector, segmentation, circumference, segment, and diameter. The area of the sector is 250 units².
Therefore, the correct option is option A.
To know more about sector of circle, here:
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help me out pleaseeeeeeeeeee
Step-by-step explanation:
1. 6y=2x+5(divide all sides by 6) y=1/3x+5/6 =1/3
Geometry, Chapter 9 test
Find the value of x.
Answer:
The value of x is 70
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use one of the circle tangent relationships
we have this as;
24 = (118-x)/2
2(24) = 118-x
48 = 118-x
x = 118-48
x = 70
can you guys help me on this one please ?
Answer:
C7t
Step-by-step explanation:
Cathy made chocolate peanut butter fudge. She made enough chocolate fudge to fill 5 boxes. If she made 2/3 as much peanut butter fudge, how many boxes will the peanut butter fudge fill?
Answer: 3¹/₃ boxes
Step-by-step explanation:
She made enough fudge to fill up 5 boxes then made 2/3 as much peanut butter.
To find out the number of boxes the peanut butter would fill, simply find out what is 2/3 of 5 boxes:
= 2/3 * 5
= 3.33 boxes
= 3¹/₃ boxes
On a coordinate grid, an island is located at (1,6). Another island is located at (4,9). What is the distance between the islands if the distance between consecutive grid lines represent 2 miles?
Answer:
6√2
Step-by-step explanation:
Darien is discounting all prices on the sales for 20%. Which expression below represents the price, p, of any item he marks down
A) 2.2p
B) 1.2p
C)0.8p
D)0.2p
Answer: C. 0.8p
Step-by-step explanation:
Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price
Can someone help with this please . I really don't understand it!!!!!!!!
natural log = ln= log base e = logₑ
normal log = log = log base 10 = log₁₀
when someone says log you consider it log₁₀
when someone specifically says natural log or ln you consider logₑ
A bag of apples weighs 7 6/8 pounds. A crate of bananas is 6 times as heavy as the apples. How much heavier are the bananas than the apples?
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all. 25 returned to choices list. 33.6252768.48 Expression Value of the Expression [ 4 × ( 4 + 3 ) ] − 3 [ ( 7 − 5 ) ÷ 1 2 ] × 2 ( 5 . 4 + 3 ) × ( 6 − 2 ) [ 9 ÷ 3 + 6 ] × 3 ( 4 + 3 . 2 ) × [ ( 9 − 2 ) + 2 . 5 ]
Answer:
[tex]-62024.48[/tex]
Step-by-step explanation:
Given
[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5][/tex]
Required
Solve
The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.
So, we have
[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ][/tex]
Solve the expressions in the inner brackets
[tex][ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]
Solve all divisions
[tex][ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]
[tex][28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5][/tex]
[tex][28] - 0.5 * (16.8) * [36] * (21.6) * [9.5][/tex]
Multiply through
[tex]28- 62052.48[/tex]
[tex]-62024.48[/tex]
will mark brainliest
Answer:
25 un²
Step-by-step explanation:
Formula = 1/2(b x h)
Base = 10
Height = 5
1/2( 10 x 5) = 1/2 (50) = 25
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
[tex]25 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{(10 \times 5)}{2} = 25[/tex]
which expression is equivalent to (4*2) 1/3
Answer:
B
Step-by-step explanation:
Need Answer Immediately!!!!!
y = [tex]\frac{-5}{4}[/tex]x + 3
Step-by-step explanation:As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c or -------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope m given by;
m = [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]
m = [tex]\frac{-2-3}{4-0}[/tex]
m = [tex]\frac{-5}{4}[/tex]
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = [tex]\frac{-5}{4}[/tex] into equation (ii) as follows;
y - 3 = [tex]\frac{-5}{4}[/tex](x - 0)
(iv) Solve for y from (iii)
y - 3 = [tex]\frac{-5}{4}[/tex]x
y = [tex]\frac{-5}{4}[/tex]x + 3 [This is the slope intercept form of the line]
Where the slope is [tex]\frac{-5}{4}[/tex] and the intercept is 3
10. Shown is a circle centre o
BC and D are points on the circumference
ABO S a straight line
AC is a tangent to the circle.
320
A. Find the mZAOC
B. Find the mZBDC
C. Find the mZACD
AB is a a straight line and AC is a tangent to the circle, then the
(a) ∠AOC = 58°
(b) ∠BDC = 32°
(c) ∠ACD = 148°
According to the figure,
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
What is the tangent of the circle?It is the line which intersects the circle exactly at one point.
(a) Find m ∠AOC
Sum of three angles of a triangle is = 180°
So, in Triangle AOC = 180°
∠A + ∠O + ∠C = 180°
See in Image, ∠A and ∠C are 90° and 32°
∠A + ∠O + ∠C = 180°
We can substitute these values,
∠O = 180 - ∠A - ∠C
∠O = 180 - 90 - 32
∠O = 58°
∠AOC = 58°
(b) ∠BDC is a parallelogram,
So,
Opposite angle is equal,
∠BDC = ∠ABC
∠BDC = 32° ( since ∠ABC = 32° )
(c) Find m ∠ACD
Sum of three angles of a triangle is = 180°
So, in Triangle ACD = 180°
∠A + ∠C + ∠D = 180°
See in Image, ∠A and ∠D are 90° and 32°
∠A + ∠D + ∠C = 180°
We can substitute these values,
∠C = 180 - ∠A - ∠D
∠C = 180 - 90 - 32
∠C = 58°
Now,
∠ACD = 90 + 58
∠ACD = 148°
Therefore,
The circumference of tangent to the circle,
(a) ∠AOC = 58°
(b) ∠BDC = 32°
(c) ∠ACD = 148°
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Which expressions represent the "the sum of 3 and n"?
Select all that apply.
A. 3n
B .n+3
C .3+n
D .n+n+n
E .n^3
Answer:
C
Step-by-step explanation:
The answer would be C, yet if this was for homework or a test, you would write it out as "3 + n".
Answer:
It would be C, but as this is probably a practice test it would be 3 + n.
Which number is farther from zero,3/4 or-1 1/4
Answer:
-1 1/4
Step-by-step explanation:
Answer:
-1 1/4 ofc
Step-by-step explanation:
imagine -1 1/4 as 1 1/4, 1 1/4 > 3/4