Answer:
Step-by-step explanation:
Given
Diver is standing [tex]7\ m[/tex] above water
Diver is at a maximum height of [tex]h=7+2=9\ m[/tex] at [tex]t=2\ s[/tex]
So, at [tex]t=2\ s[/tex] his velocity is zero
After this he will be under free fall
using
[tex]s=ut+\frac{1}{2}at^2[/tex]
here [tex]u=0[/tex]
[tex]s=\frac{1}{2}\times 10\times (3)^2[/tex]
[tex]s=5\times 9=45\ m\quad \text{(not possible)}[/tex]
but the distance between the pool and Henry is [tex]9\ m[/tex]
So, he reaches the pool before [tex]5\ s[/tex]
[tex]9=\frac{1}{2}\times 10\times (t)^2[/tex]
[tex]t=\sqrt{1.8}[/tex]
[tex]t=1.34\ s[/tex]
So, he reaches pool at [tex]t=2+1.34=3.34\ s[/tex] after diving off the board
Answer:
Ignore the answer above, the correct answer is 4.5m.
Step-by-step explanation:
If you ignore all the useless information, you'll see that the parabola Henry creates has a vertex of (2,9) (because obviously the parabola opens downwards). Using this, we can deduce the vertex form of the equation for this parabola to be y=-a(x-2)²+9. This is because the vertex is always equal to (h,k), and the vertex form of any parabola is written as y=a(x-h)²+k. Now, you can solve for a to find it is 0.5, by using (0,7) as the y-intercept (aka the diving board, his starting location). Now, you can graph y=-0.5(x-2)²+9 by using mapping notation, (I find to be the easiest), or any other strategy you'd like. Once graphed, it is clear to see that when the parabola reaches 5 along the x-axis, (simpler if you think of the x-axis as time and the y-axis as height), it is plotted at 4.5 on the y-axis. This means that after 5 seconds, Henry is 4.5 meters above the water.
A right triangle has sides of length 3, 4, and x. Find x, if x were the hypotenuse.
Answer:
[tex]x = 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
So the right answer is 5.
look at the attached picture
Hope it will help you
Good luck on your assignment
A gumball machine contains 7 red, 5 yellow, and 6 orange gumballs. What is the probability that the next gumball that comes out will be either red or yellow?
show work pls tnx!
Answer:
2/3
Step-by-step explanation:
7 red, 5 yellow, and 6 orange =18
P( red or yellow) = number of red or yellow / total
= (5+7)/18
=12/18
=2/3
Solve the system of equations
-10x+3y=5
x=y-4
x=
y=
Answer:
So the answer is y=5 and x=1
The question is on a screenshot
Answer:
[tex]x=\frac{4}{15}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}[/tex]
Answer:
[tex] \frac{4}{15} [/tex]
2nd answer is correct
step by step explanation
[tex] \frac{3}{4} \times x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{4}{3} \\ x = \frac{4}{15} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If y varies directly as the square root of x and y = 8 when x = 36, find the value of y when x = 144. y =
Answer:
y=32
Step-by-step explanation:
cross multiply
36/4 *144/y
144*8/36
=1152/36
y=32
Answer:
D. -180
Step-by-step explanation:
A rectangular pyramid has a volume of 1.512in, a height of 12 in., and a base length of 21 in. What is the width of its buse?
2 in.
6 in.
12 in
18 in.
If a =(9,18) and b=(1,12) what is the length of ab
Answer:
AB = 10
Step-by-step explanation:
Use the distance formula: √(12 - 18)^2 + (1 - 9)^2
√36 + 64
10
Answer:
10 units
Step-by-step explanation:
Use the distance formula. Substitute the values, (1-9)²+(12-18)²=100. The square root of 100 is 10.
$900,000 is what percent of $900,000?
Answer:
It is 100 percent.
Step-by-step explanation:
Since the two numbers are identical, it is 100 percent.
Please help me in this question.
Answer:
Step-by-step explanation:
(i) Area of ABCD = (base1+base2)*height/2
= (6+12)*4/2 = 36 cm2
(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3
(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25
= 72 + 250 + 150 + 300
= 772cm2
In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many students are in this group altogether?
Answer: 32
Step-by-step explanation:
There are 18 boys and 14 girls (4 more boys than girls. 32 students total.
If the ratio of boys to girls is 9 : 7, there are 32 students in this Year 9 group altogether.
Let's denote the number of boys as "9x" and the number of girls as "7x" since the ratio of boys to girls is 9:7. We are also given that there are 4 more boys than girls, so we can set up an equation:
Number of boys = Number of girls + 4
9x = 7x + 4
Now, we can solve for "x":
9x - 7x = 4
2x = 4
x = 2
Now that we have the value of "x," we can find the number of boys and girls:
Number of boys = 9x = 9 * 2 = 18
Number of girls = 7x = 7 * 2 = 14
Finally, to find the total number of students in the group, we add the number of boys and girls:
Total number of students = 18 (boys) + 14 (girls) = 32.
The ratio of boys to girls is 9:7, and there are 4 more boys than girls.
To learn more about ratio click on,
https://brainly.com/question/30925663
#SPJ2
a(b-x)=cx
make x the subject of formular
Answer:
×=
[tex] \frac{ab}{?c + a} [/tex]
Answer:
x = [tex]\frac{ab}{c+a}[/tex]
Step-by-step explanation:
a(b-x) = cx
ab - ax = cx
ab = cx + ax
ab = x (c + a)
divide both sides by (c + a) for x to stand alone
x = ab/ c + a
what is the circumference of a circle witha radius of 4 in
25.12 in or 8π
Step-by-step explanation:
Since you didn't specify whether or not to leave pi or to make it be 3.14, I did both.
The formula for the circumference of a circle is...
[tex]C=2\pi r[/tex]
So...
[tex]C=2*3.14*4[/tex]
C = 25.12 in
If you want to leave pi...
[tex]C=2*\pi *4[/tex]
C = 8π
Wegnerkolmp2741o Plz answer
The best shooters in the NBA make about 90% of their free throws (shots from the line). If a player took 20 shots, what number of those shots would you expect to go in?
Answer:
18 shots
Step-by-step explanation:
By criss cross method
100% -> 20 shots
90% - >?
[tex]answer = \frac{90 \times 20}{100} = 18[/tex]
Hope this helps...
Answer:
18
Step-by-step explanation:
Take the number of shots times the probability that they will go int
20 * 90%
Change to decimal form
20 *.90
18
18 of the shots would be expected to go in
Anyone know the answer?
Answer:
A≈18.38
Step-by-step explanation:
Solve for area
Shape: Parallelogram
Formula: Base*Height
5.25*3.5=18.375
Round answer
Hope this helps.
I NEED HELP PLZ ANSWER CORRECTLY!!!!!!
(a,b) (less, greater)
Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.
Step-by-step explanation:
The diameter of a circle is double its radius.
Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.
Next, convert this to meters:
[tex]24 * \frac{0.305}{1} = 7.32[/tex]
The diameter of pool A is 7.32 meters.
The diameter of pool B is 7.5 meters.
The diameter of pool B is greater.
You can calculate the circumference of a circle by using this formula:
[tex]C = 2\pi r[/tex], where r is the radius.
Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:
[tex]C = 7.5\pi \\\\C = 23.561[/tex]
Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.
Do the same thing for pool A:
[tex]C = 7.32\pi \\\\C = 22.996[/tex]
Circumference for pool A rounds to 23 meters.
Answer:
the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest
Select one or more expressions that together represent all solutions to the equation. Your answer should
be in radians
Assume n is any integer
13 sin(2x) - 3 = 3
Answer:
The answer is A
Step-by-step explanation:
Answer:
0.24+n*pi and 1.33+n*pi
Step-by-step explanation:
First you add three to both sides to get:
13sin(2x)=6
Then you divide by thirteen to both sides to get:
sin(2x)= 6/13
Next, you use a calculator to perform the inverse of sine to both sides, which is arcsin, and cancels out the sin.
arcsin(sin(2x))= arcsin(6/13) -> 2x= arcsin(6/13)
Arcsin(6/13)= approximately 0.48. But besides 0.48, there is another solution, because the y value of 6/13 can have two possible x values, both in quadrant one and two. We found the quadrant one value. The quadrant two value is just pi-0.48=2.66.
So, if we add two pi (360 degrees) to both of these solutions for n amount of times, then on a graph, we would end up on the same point every time. Each of those revolutions around the graph is one solution. These are the solutions:
2x= 0.48+n*2pi -> 0.24+n*pi
2x=2.66+n*2pi -> 1.33+n*pi
Evaluate each series
Answer:
solution is 147
work is shown
In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?
Answer:
tan ∠L = 65/72
Step-by-step explanation:
The tangent ratio is:
tan of angle x = opposite/adjacent
Looking from the perspective of angle L, find the opposite side.
This side is MN, measuring 65 units.
opposite = 65
Now let's find the adjacent side.
This side is LN, measuring 72 units.
adjacent = 72
Therefore, the tangent ratio of angle L is 65/72.
Answer:
65/72
Step-by-step explanation:
Which graph shows a solution to the following system?
{ x -y ≥ -1
{ x+y ≤ 0
Answer:
That's the answer attached, whatever answer matches up with it is correct.
Step-by-step explanation:
Joaquin used 1-3/6 cups of apple juice and 1-4/6 cups of orange juice in a recipe for punch. How much juice did Joaquin use?Solve this problem any way you choose.
Answer:
The answer is 3 and 1/6 cups.
Step-by-step explanation:
If Joaquin used 1 and 3/6 cups of apple juice and 1 and 4/6 cups of orange juice for the punch, there is a total of 2 cups and the fractions can be added as their denominators are the same.
3/6 + 4/6 = 7/6 cups
So the total juice in the punch is 3 and 1/6 cups.
I hope this answer helps.
find the point that lies on the line described by the equation below. y - 3 = 3 (x - 9)
Answer: D
Step-by-step explanation: (9,3) is the given point in the equation where y-y1=m(x-x1)
Answer:
D. (9, 3)
Step-by-step explanation:
You can solve figure this out by plugging in the coordinates. The best guess would be that the answer is "D," and we can check:
y - 3 = 3(x - 9)
3 - 3 = 3(9 - 9)
0 = 3(0)
0 = 0
Since the answers match, answer "D," is correct.
Which prisms are similar to a prism with a length of 10 feet, a width of 6 feet, and a height of 12 feet?
Answer:
2
Step-by-step explanation:
how would you change x + 3y = 18 -3x - 12y = -75 to eliminate x
Answer:
Multiply the equation by 3 making positive 3X which will cancel out with negative 3X
what is the sum of the geometric series?
a. 21/2
b. 21/8
c. 21
d. 10
Answer:
A
Step-by-step explanation:
Lauren’s book is 180 pages long. She has read 80% of it. How many pages has she read.
Answer: 144 pages
Step-by-step explanation: if you take 180 and multiple it by the decimal of 80% which would be .8 you get 144
Answer:
144 pages
Step-by-step explanation:
You have to do 180 times 80/100.
that will get you to 144 pages.
What is the area of the circle below, the circle has a radius 20.5 ft.
84 feet
92 feet
O 1319.59 ftsq
659.79 ftsa
O 128.74
O none
Answer:
It is approximately 1320.25
Which algebraic expression represent this phase
a Fair coin is tossed 4 times. What is the probability of not getting all heads?
Answer:
15/16
Step-by-step explanation:
The probability of not getting all heads is
1 - P(all heads)
P (all heads) =P(heads) * P(heads)* P(heads) * P(heads)
1/2* 1/2 * 1/2 * 1/2 = 1/16
1 - 1//16 = 15/16
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8?
Answer:
n/2 - 6 + 10
8/2 - 6 + 10
4 - 6 + 10
= 8
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
I just took the test, sorry if I didn't come on time.
the sum of four consecutive integers is 34. find the least of the numbers.
a 6
b 7
c 8
d 5
Answer:
7 and 8
Step-by-step explanation:
the no. are 7,8,9,10