A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T
Answer:
10.5618feet, 0.8125sec
Step-by-step explanation:
Given the height reached by the catapult expressed by the equation H=-16T^2+26T
At the maximum height, the velocity of the object is zero, hence;
v = dh/dt = 0
-32t + 26 = 0
-32t = -26
t = 26/32
t = 0.8125secs
Hence it will attain the maximum height after 0.8125second
Substitute t = 0.8125s into the expression to get the maximum height
H=-16t^2+26t
H = -16(0.8125)^2 + 26(0.8125)
H = -16(0.6602) + 21.125
H = -10.5632+21.125
H = 10.5618
hence the maximum height reached by the ball is 10.5618feet
Divide. Give the quotient and remainder.
20,226/4
Answer:
5,056.5 is the answer of 20226 /4
The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc
Answer:
47.14 m²
Step-by-step explanation:
Recall that the central angle of a full circle is 2π radians or 360°. The area of the sector bounded by a 150° arc is the fraction
150°
------- times the area of the full circle (πr²):
360°
(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²
whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00
Answer:
4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00
Step-by-step explanation:
Mean 5.875
Median 6
Mode 6.00
Ashley owns 40 shares of a certain stock. Yesterday the value of each share went up by 10 dollars. What was the total change in value of her shares?
Answer:
$400 change
Step-by-step explanation:
If Ashley owns 40 shares, and each share went up by $10, you can do
40x10=400 to find the change in value
20x - 16y + 32 plz help
Answer:
4(5x−4y+8)
Step-by-step explanation:
20x−16y+32
Factor out 4.
4(5x−4y+8)
How many 1/5 cup servings are in 5 cups of cereal?
I need the answer ASAP!
I'll give brainliest!
Answer:
there are 25 1/5 cups
Step-by-step explanation:
25/5=5
hope this helps
Answer:
25 servings
Step-by-step explanation:
to fill one cup, 5 servings would have to be, um... served.
for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings
(p.s., pls mark me brainliest, and have a great day!)
A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels
Answer:
Holes got it right :)
Step-by-step explanation:
Answer
difficulty levels
Step-by-step explanation:
took the test
sorry different question
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
Trigonometry math, help needed!!!
Find Q, R, and S. I think R is 123. I have provided a picture. Please put the right answer I would appreciate it.
Answer:
Step-by-step explanation:
Please I need help
I need the equation of the graph below
Answer:
0x 57=63
Step-by-step explanation:
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
Answer: [tex]282\ in.^2[/tex]
Step-by-step explanation:
Given
dimension of box are
[tex]h=22\ in.\\[/tex]
Square base length is [tex]l=3\ in.[/tex]
[tex]\therefore w=3\ in.[/tex]
The surface area of a rectangular prism is
[tex]S.A.=2[lb+bh+hl][/tex]
The paper area must be equal to the surface area of the prism
[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]
Which of the following is the reference angle for an angle that measures 222 degrees ?
1.22
2.48
3.64
4.42
Find the SURFACE AREA of the rectangular prism. LABEL your answer.
5 cm
6 cm
6 cm
What formula will you use to find the area of each side? A=
How many sides does the prism have?
What is the TOTAL surface area? (label your answer)
Answer:
surface area of prism= 2(lb+bh+lb)
surface area of prism= 2(6×6+6×5+5×6)
surface area of prism= 168cm²
formula=2(lb+bh+hl)
sides=12 sides
total surface area =168cm²
volume of prism=l×b×h
volume of prism=6×6×5
volume of prism=180cm³
Help pls it open ended soooo???????
Answer:
8, 9
Step-by-step explanation:
The answer is 8, and 9
72 = x*(x+1)
Lets factor out 72
1 x 72
2 x 36
3 x 24
4 x 18
....
8 x 9
8 and 9 are consecutive
Please help with this math problem
3x + 6 ≥ 24
Answer: 1X52=73
Step-by-step explanation:
6x-18=51 solve for x
Answer:
11.5
Step-by-step explanation:
add 18 to both sides
divide by 6
0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *
What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
Answer:
x = 0
Step-by-step explanation:
24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7
solve the brackets by using the distribute property:
1(3x - 9) = 3x - 9
-2(2x - 10) = -8x + 20
rewrite the equation:
24 - 3x - 9 - 6 = -8x + 20 + 5x + 7
combine like therms:
27 - 3x = -3x + 27
subtract 27 from both sides:
27 - 3x - 27 = -3x + 27 - 27
- 3x = -3x
add x to both sides of the equation:
-3x + 3x = -3x + 3x
x = x or 0 = 0
to check, substitute 0 for x
24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7
anything times 0 is 0
24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7
solve:
24 + 9 - 6 = 0 + 20 + 0 + 7
27 = 27
if PQ and PR are tangent to circle S,find PQ
Answer:
From one point, you can draw two tangents to a circle. These two tangents will be equal.
Step-by-step explanation:
7x - 24 = 57 - 2x.
Rearrange the numbers (by adding 2x and 24 on both sides), we get:
7x+2x = 57 + 24
9x = 81.
x = 9.
Length of PQ = 57-2x = 57 - 18 = 39
If PQ and PR are tangent to circle S, then the value of PQ is 39.
What is tangent?"A line that touches the circle at a single point is known as a tangent to a circle."
What is circle?"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."
P is the exterior point of a circle.
PQ and PR are the tangents to circle S.
According to theorem,
The lengths of the tangents drawn from a same external point to a circle are always equal.
7x - 24 = 57 - 2x
7x + 2x = 57 + 24
9x = 81
x = 9
PQ = 7x - 24
PQ = 7(9) - 24
PQ = 63 - 24
PQ = 39
Hence, the value of PQ is 39.
To learn more about tangent of a circle here
https://brainly.com/question/23265136
#SPJ2
Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.
Answer:
2x² + 4x + 1
Step-by-step explanation:
Given the question :
4x^3+18x^2+22x+5 divided by 2x+ 5
Dividend = 4x^3+18x^2+22x+5
Divisor = 2x + 5
In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture
PLEASE HELP ANSWER ME THIS!!!
Write a function for the indicated transformation.
the function y=5^(x-2) vertically stretched by the factor 3
the function y=7.2^x translated up 8 units
Answer:
ok mag lazada ka nalang te
A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?
Answer: 90
Step-by-step explanation:
Answer:
90m
Step-by-step explanation:
you have to cross multiply.
1) multiply (12 * 15) and multiply 2 * X)
2) you get 180 = 2x
3) to get X alone divide 180 by 2 and you will get 90meters
Please help me out. I will be picking the brainiest Answer!!!
Answer: I think the answer is 63.
Step-by-step explanation:
Im sorry if im wrong.
PLEASE HELP ASAP njjjjdkkdjdjfjf
Answer:
Its 5 over 8
5/8
Step-by-step explanation:
Pls help find area and perimeter for #1 I have limited time I put out another one but forgot to change the points so 65 points and BRAINLIEST if I figure out how to give it :)
Answer:
The first one perimeter is 111
Step-by-step explanation:
How to find the perimeter is too add all the numbers you see
What are the coordinates of each point after quadrilateral EFGH is translated 3 units right and 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is translated a units right and b units down, the new location of the point is at A'(x + a, y - b)
The location of the vertices of quadrilateral EFGH is E(-5, -1), F(-4, -3), G(-2, -3) and H(-1, -1). If quadrilateral EFGH is translated 3 units right and 2 units down, the new location would be:
E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).
I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)
Answer:
D
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )
Here V = 226 and r = 12 ÷ 2 = 6 , then
[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )
3.14 × 36h = 678
113.04h = 678 ( divide both sides by 113.04 )
h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )
Someone find x !!!!!!
11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35
Answer:
7 x = -35
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
In this problem we need to add the equations below i.e.
11x-3y = -17 and -4x+3y=-18
Adding both equations,
11x-3y+(-4x)+3y = -17+(-18)
7x= -35
or
7 x = negative 35
Hence, the correct option is (c).