The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle
Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=
−
16
and
b
=
26
.
Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.
Would appreciate brainliest <3
Vernon lives in New Mexico and pays 5% in sales tax. He bought an air conditioner, and the amount he paid after sales tax was $1527.75. What was the cost of the air conditioner before sales tax was applied?
x - 7 < -20 inequalify
ps. also tell me is it's closed or open ⭕ (I tried to get a picture and it wasn't working)
Step-by-step explanation:
x - 7 < -20
x < -20 + 7
x < -13
X = (-12, -11, -10,...)
[tex] \sf \longmapsto{x}−7<−20[/tex]
Let's start.
Add [tex]\text7[/tex]to both sides[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]
Answer[tex] \sf \longmapsto \: x<−13[/tex]
A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?
Answer:
Step-50*t + 30*m = 1500, (1) (pounds)
4*t + 3*m = 138. (2) (cubic feet)
From (2), express 3m = 138 - 4t, and substitute it into (1). You will get
50t + 10*(138-4t) = 1500, or
10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.
From this point, find the number of microwaves on your own.
step by-step explanation:
Last year the cost of a season ticket for a football club was £560.
This year the cost of a season ticket for the club has been increased to £600.
Write down the increase in the cost of a season ticket as a fraction of last year's cost.
Answer:
The cost increased by 1/14
Step-by-step explanation:
2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips
Answer:
Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.
find the domain of the expression.
[tex]\sqrt{u} -\sqrt{-u}[/tex]
Answer:
No Solution
Step-by-step explanation:
One of the rules of a square root is not to have negative numbers inside, if you do not want imaginary numbers. Therefore this question has no solution. Hope this helps :)
The Clark family bought 8 crates of eggs last week. Each crate had 12 eggs. Since then, they have eaten 28 of the eggs. How many eggs are left?
You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?
help me please (show work)
Answer: A, B, C, and D have the same volumes: 100 units^3
Step-by-step explanation:
The details are attached. Use the volume formula for the respective shapes. Bear in mind that B is he area of the base (I assume). It is the
[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).
Me ayudan a responder este asientos de contabilidad
1.- Pagamos a Seguros la Provincial, S.A. la póliza anual contra incendio, por $ 22,000.00 Más
IVA del 16%, con cheque certificado. Aplicar la primera amortización mensual.
2.- Emitimos cheque por el pago de la renta de un año, de la oficina de ventas en el centro. El
importe es de $ 24,000.00 + IVA del 16%. Además, se agrega el pago del depósito en ga-
rantía, que es por el importe de 3 meses de renta. Aplicar la primera amortización mensual.
3.- Pagamos con cheque la suscripción semestral al periódico Noticetis, S. A. para recibir un
ejemplar diario. Son $ 2,000.00 Más IVA del 16%. Aplicar la amortización mensual.
Answer:
???
Step-by-step explanation:
An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?
YALL I RLLY DONT KNOW HOW I HAVE 13 OVERDUE ASSIGNMENTS BUT PLEASE HELPING ME JUST ON MATH would make my day....
Answer:
Should be second option: (-6.5,-3.5)
The actual coordinates are (-6.4,-3.6) but the points are rounded.
Step-by-step explanation:
Since these two lines are both in slope-intercept form, all you have to do is graph them, and what ever point they cross each other at, is the solution to this system of equations. (Hint: you can also go online and search desmos graphing calculator, to see how it's graphed, for additional help).
(I've graphed and labeled them for you above btw⤴⤴⤴)
Hope this helps you :)
When can you write ratios as fractions?
HELP!!!!!!!!!!!!!!!!!!!!!
Answer: A
Step-by-step explanation:
The easiest way to solve this would be to convert everything into a fraction.
9.5, 9 3/8, 9.125, 9 3/4
=
9 4/8, 9 3/8, 9 1/8, 9 6/8
So from greatest to least,
9 3/4, 9.5, 9 3/8, 9.125
So, A
Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )
Step-by-step explanation:
From greatest to least.
1) 9 3/4 = 9.75
2) 9.5 = 9.50 ( 9 1/2)
3) 9 3/8 = 9.37
4) 9.125 = 9.12 ( 9 1/8)
1. what is the inverse of f(x) = x+9/10x-1?
a. 10x-1/x-9
b. x-9/10x+1
c. x+9/10x-1
d .2x+9/5x+1
#mathematics
Answer:
A OPTION IS THE INVERSE OF YOUR QUESTION
I need Help on this question
Answer:
Step-by-step explanation:
22/25, 6, 6.21, 137/20, 6.885
your amazing and beautiful or handsome or whatever you are comfortable with!:D
Answer:
1. C
2. E
3. D
4. A
5. B
Step-by-step explanation:
1. It shows that the number of students decrease.
2. It increases more than the breakfast (B)
3. It's on thin line representing the students and workers whom stayed in the cafeteria.
4. It increases showing the same amount of students that entered the other day.
5. The same
help me please???????
Answer:
The answer is 25.1 degrees.
Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?
(6-i\sqrt(2))/(6+i\sqrt(2))
Answer: 18 sqrt= i
Hope this helps :)
Step-by-step explanation:
There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.
Answer:its a because its a
Step-by-step explanation:
Answer:
it is the letter a
Step-by-step explanation:
what is the slope of the line?
Answer:
The slope is 3 or 3/1
Step-by-step explanation:
A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?
Answer:
1 1/2 cups
Step-by-step explanation:
3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1
Answer:
1.5 cups of sugar
Step-by-step explanation:
3/4 divided by 1/2 is 1.5
Chaos theory worksheet
in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.
Answer:
0
Step-by-step explanation:
if x is 3 then;
3(3-1)=2×3+c
c=0
so if c=0 then
x=3
Solve to get cake, cookies and a hug
Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.
HELPPPPPPPPPPPPPPPPPPPPPPPP PLS
Answer:
formulasfrequency=speed/wavelength
f=250/50
f=50hz
please help me it's done in 4 mins I beg you
Answer:
the slope rise/run = 4/6