Answer:
87 metres
Step-by-step explanation:
The perimeter of the parking lot is 286 metres, while it is 56m in width.
The formula for the perimeter of a rectangle is:
[tex]P = 2(l+w)\\P = 2l + 2w[/tex]
with l and w as the the length and width, respectively.
The problem has two givens, perimeter and width.
[tex]286 = 2l + 2w\\286 = 2l + 2(56)\\286 - 112 = 2l\\174 = 2l\\\frac{174}{2} = l\\l=87[/tex]
The length of the lot is 87 meters.
To rent a certain meeting room, a college charges a reservation fee of $44 and an additional fee of $7.40 per hour. The history club wants to spend less than
$73.60 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your Inequality for t.
Answer:
t<4
Step-by-step explanation:
for brainiest:):):):):):):)
Answer:
1. 16%
2. 58%
Step-by-step explanation:
Parking stickers contain randomly generated numbers with 5-digits ranging from 0 to 9. No digits are repeated. How many different combinations can be created?
Answer:
30,240
Step-by-step explanation:
You use the Permutation Formula
Lets say that your five digits are LMNOP
L- 10 possible digits
M- 9 possible digits
N- 8 possible digits
O- 7 possible digits
P- 6 possible choices
10•9•8•7•6
= 30,240
5 4/10= 5 ?/5
find the missing number
Answer:
5 2/5
Step-by-step explanation:
4/10 - /5. 10 is divided by 2 to get to 5. 4 should also be divided by 2 which gets you 2. This is why your answer should be 5 2/5.
4(x+21)=-3(x-7)
x=0
x=-9
x=15
x=-11
Answer:
x=-9 mark me brainliest
Step-by-step explanation:
A rectangular ink pad is 10 centimeters tall and 15 centimeters wide.
What is its area?
Answer:
15000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
150 centimeters
Step-by-step explanation:
just multiply!
hope this helps :)
help pleaaseeeeeeeee..
Answer:
Step-by-step explanation:
Rectangle 4 sides, 4 right angles, and opposite Parallel sides
Rhombus 4 sides, all sides equal length, and 4 acute angles.
I am 100% positive this answer is correct plz mark as brainliest
laura lleno su pecera hasta la mitad 40 cm 60 cm 20 cm cuanto espacio ocupa la pecera
You start at (9, 9). You move left 6 units, Where do you end?
Answer:
(3,9)
Step-by-step explanation:
9-6 = 3
y= x-8
y= 8 +x
What is the solution
Answer:
x-8=8-x
x=8
y=8-8
y=0
Step-by-step explanation:
y=0
x=8
Answer:
x=8,y=0
Step-by-step explanation:
y=x-8
y=8-x
So,
x-8=8-x
x+x=8+8
2x=16
x=8
Now,
y=x-8
y=8-8
y=0
How many 5 digit license plate can be made using only the digits 2,3,4,5,6,7,8,9 if an odd digit must go first and second and repetitions are not allowed?
Answer:
1,440
Step-by-step explanation:
if first two digits must be odd, then there are 4x3 or 12 combinations for that
if the next three digits can be even or odd but not repeats then there can be 6 (two odds remaining plus four evens) x 5 x 4 = 120
120 x 12 = 1,440
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by h(t)=-16t^2+6t+12
When do you hit the water?
What is your maximum height?
Answer:
When do you hit the water?
1.075 seconds after you jump.
What is your maximum height?
the maximum height is 12.5626 ft
Step-by-step explanation:
The equation:
h(t) = -16*t^2 + 6*t + 12
Is the height as a function of time.
We know that the initial height is the height when t = 0s
h(0s) = 12
and we know that the diving board is 12 foot tall.
Then the zero in h(t)
h(t) = 0
Represents the surface of the water.
When do you hit the water?
Here we just need to find the value of t such that:
h(t) = 0 = -16*t^2 + 6*t + 12
Using the Bhaskara's formula, we get:
[tex]t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}[/tex]
Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)
The positive solution is:
t = (-6 - 28.4)/-32 = 1.075
So you hit the water 1.075 seconds after you jump.
What is your maximum height?
The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.
We know that the vertex of a general quadratic:
a*x^2 + b*x + c
is at
x = -b/2a
Then in the case of our equation:
h(t) = -16*t^2 + 6*t + 12
The vertex is at:
t = -6/(2*-16) = 6/32 = 0.1875
Evaluating the height equation in that time will give us the maximum height, which is:
h(0.1875) = -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626
And the height is in feet, then the maximum height is 12.5626 ft
You hit the water 1.075 seconds after you jump.
The maximum height is 12.56.
Given that,
You are jumping off the 12-foot diving board at the municipal pool.
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
We have to determine,
When do you hit the water?
What is your maximum height?
According to the question,
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
1. The initial height is the height when t = 0 second,
[tex]\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12[/tex]
And the diving board is 12 feet tall.
Then the zero in h(t)
h(t) = 0
When h(t) = 0 represent the surface of the water,
[tex]\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855[/tex]
The value of x can not be negative then the value of x is 1.075.
Therefore, you hit the water 1.075 seconds after you jump.
2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:
[tex]\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\[/tex]
To find the maximum height the value first derivative is equal to zero.
[tex]\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\[/tex]
Substitute the value of t in the equation to find the maximum height,
[tex]\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56[/tex]
Hence, The maximum height is 12.56.
For more details refer to the link given below.
https://brainly.com/question/20120328
A lunch menu consists of 2 sandwiches and 3 drinks.How many possible meals with a sandwich and a drink can you order?
Answer:
6
Step-by-step explanation:
2x3 is 6
that is how i do it anyways
this is because every sandwich can get 3 drinks
so
2x3
Answer: 6 meals
Step-by-step explanation:
2 sandwiches
3 drinks
sandwich = s
drink = d
s1 + d1
s1 + d2
s1 + d3
s2 + d1
s2 + d2
s2 + d3
6 combos
Can some one plz help me I with these questions I need to finish this by today
Angle FGH is a right angle.
The measure of angle JGH is 35º.
The measure of angle FGJ is xº
What is the value of x?
H
350
Assume a 14-inch pizza can be purchased as a whole pizza, a half pie, or one of 8 slices. Determine
the
area of each of those options. Explain how you found the 8 slice amount
Answer:
The diameter of the pizza = 14 in
Radius of the pizza = (14/2)in = 7in
Area of a whole pizza =
πr^2
=( 22/7 × 7^2)in^2
=( 22/7 × 49)in^2
154 in^2
Area of a half pie =( 1/2 × 154)in^2 = 77in^2
Area of one of 8 slices = (1/8 × 154)in^2 = 19.25in^2
Hope it helps
Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4
(a) Construct, using a compass and straightedge, the midpoint of UV and label it M. Then
draw TM, the median from 2T to side UV.
(b) Prove algebraically that the median TM is not perpendicular to UV. Explain.
Please helpppppp
Step-by-step explanation:
a) for the first part, you take your compass and stretch it more than halfway on to line UV. Place the fixed point at V and draw a curve. make sure you keep your compass the same size, put the fixed part of your compass on point U and draw a curve again. both curves should go both upward and downward. Now, your curves should meet at two points. use your straight edge to draw the line that meets at both points. I have drawn an example of what it should approximately look like. for the second part you are simply using your straight edge to draw a line from T down to the median M you previously found. I have drawn a second picture to show you.
b) now to check if they are perpendicular, we must find the slope of each line. I will not be able to do this accurately since I didn't use an exact method to find M, so you must follow my steps.
Step 1: find the slope of UV. To do so, we must take two points from the line. I will take points U and V because they are easiest to see. To find the slope, we can use the equation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where m is the slope.
so, let's define our points.
Point V is (4,4), let's call this point one.
Point U is (14,6), let's call this point two.
So,
x1= 4
y1= 4
and
x2= 14
y2= 6
now, we can plug these into our slope equation.
[tex]m = \frac{6 - 4}{14 - 4} = \frac{2}{10} = \frac{1}{5} [/tex]
You must then use the points T and M in order to solve the second slope. Where T is (2,12). I will keep M as (x1, y1) for now.
The equation should then look like:
[tex]m = \frac{2 - y1}{12 - x1} [/tex]
now, in order for it to be perpendicular to our original slope, it must be the opposite reciprocal, which is the number flipped and made negative. The opposite reciprocal of 1/5 will be -5.
It should NOT be, as we have been told. So, we can state:
"I know that TM is not perpendicular to UV because the UV has a slope of 1/5 and TM has a slope of x, which is NOT the opposite reciprocal on 1/5."
Hope this helps! :)
What is the measure of x?
Answer:
Hello! answer: x = 68
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!
a muffin machine bakes 24 muffins in 8 minutes. at this rate, how many muffins can it make in 1 minutes?
Answer:
It can make 3 muffins in 1 minute.
Step-by-step explanation:
Divide 24 with 8, and you get 3.
how many solutions does this have? 7x = 7x – 5
Answer:
no solutions
Step-by-step explanation:
What you wanna do is get all you X's to one side so 7x-7x to move it if you see both sides are 7x so it all cancels out to 0 so that leaves 0=-5 which is not true so that mean there is no solution
hii please help i’ll give brainliest
Find the scale factor of Figure A to Figure B
Sorry if the image is blurry! Please help!
Answer:
A. 244.93 ft sq
Step-by-step explanation: radius= 7 pi= 3.14 area for triangle= 168 area for semi-circle = 76.93.
how i got it:
area of semicircle 7 x 7 =49 49 x 3.14 = 153.86 153.86 divded by 2 = 76.93
area of triangle: 14 x 24 = 336 336 divded by 2 = 168 168 + 76.93 = 244.93
Given the parallelogram, solve for x and find the measure of segment WX
Answer:
The answer is 17.
Step-by-step explanation:
Since it's a parallelogram, VY = WX.
Therefore, [tex]5x + 2 = 6x - 1[/tex].
Solving for x we get: [tex]x = 3[/tex]
To get the measure of segment WX, substitute [tex]x = 3[/tex] back into the side [tex]6x - 1[/tex]. Therefore [tex]6x - 1 = 6(3) - 1 = 17[/tex]
Find the product of the given polynomials. A. B. C. D.
Given : (5x + 8 - 6x) (4 + 2x - 7)
The given question can be written as : (8 - x) (2x - 3)
⇒ 8(2x - 3) - x(2x - 3)
⇒ 16x - 24 - 2x² + 3x
⇒ -2x² + 19x - 24
Answer : Option D
Answer:
Have a great rest of your day :)
Step-by-step explanation:
The NYC bus costs $2.50 per ride. They also sell a bus pass that is $15 and then only $1.00 per ride. How many rides would it take for the costs to be the same?
Answer: 6 times
Step-by-step explanation: 2.50 divided by 15 is 6.
heyy! i’ll give brainliest please help
Answer:
B
FILLER
FILLER
FILLER
FILLER
12.50x = 15 What is the value of x? What is the percent increase?
Answer:
x = 1.2
Step-by-step explanation:
12.50x = 15
12.50/12.50 x = 15/12.50
x = 1.2
(Sorry i dont understand what you mean by percent increase)
what's the subject formula?
Answer:
r = √A/4π
Step-by-step explanation:
[tex]A=4\pi r^2\\\frac{A}{4\pi }=r^2\\\sqrt{\frac{A}{4\pi } }=r[/tex]
Answer:
r = √(A/4π)
Step-by-step explanation:
A = 4πr^2
Divide both sides by 4π
r^2 = A/4π
Take square root of both sides.
r = √(A/4π)
We take the positive square root only as r must be positive.