Answer:
0.67 cm/s
Step-by-step explanation:
The area of a square is given by :
[tex]A=x^2[/tex] ....(1)
Where
x is the side of a square
[tex]\dfrac{dA}{dt}=12\ cm^2/s[/tex]
Differentiating equation (1) wrt t.
[tex]\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}[/tex]
When A = 81cm², the side of the square, x = 9 cm
Put all the values,
[tex]12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s[/tex]
So, the length of the side of a square is changing at the rate of 0.67 cm/s.
Write the phrase as a numerical expression.
3.
5 more than 8
4. 8 less than 2 times a number
3. 8+5
4. 2x - 8
Step-by-step explanation:
3. for example : 5 more than the number means
x+5 so that's how we get the answer as 8+5
4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.
secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8
Find the perimeter of EFGH
Step-by-step explanation:
Perimeter of EFGH=2.5+1.5+4+2
=10
=
4. Find the value of the missing angle (x).*
B
20
F
300
E
G
D
NOTE: Angles not necessarily drawn to scale.
Your answer
Answer:
hey, angle x:
it's 60 degree
A surveyor has a survey a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up in the unknown side of plot to the nearest foot
9514 1404 393
Answer:
392 ft
Step-by-step explanation:
As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) = 400/550·sin(88°)
B = arcsin(8/11·sin(88°)) ≈ 46.621°
Then angle A = ...
A = 180° - B - C = 180° -46.621° -88° = 45.379°
Now, we can find side 'a' from ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet
The unknown side of the triangle is about 392 feet.
which fractions are equivalent to 4/8? choose all correct answers (1/5) (2/6) (1/4) (1/2) (2/4)
Answer:
1/2, 2/4
Step-by-step explanation:
4/8 = (2/4) =1/2 (if you divide up and down by the same number)
so 4/8 = 1/2
next, let's simplify the choices we have: (1/5) (2/6) (1/4) (1/2) (2/4)
1/5 is already simplified
2/6 = 1/3
1/4 is already simplified
1/2 is already simplified
2/4 = 1/2
Which of these is equal to 4/8 (aka 1/2)?
Answer: 1/2 and 2/4
Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.
Answer:
Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°
Hope this helps!
What is the following product?
which pair of words describes this system of equations 3y=9x-6 2y+6x=4
Answer:
Consistent and dependent
Step-by-step explanation:
Given
[tex]3y = 9x - 6[/tex]
[tex]2y + 6x = 4[/tex]
Required
The words that describe the equations
Make y the subject in (2)
[tex]2y + 6x = 4[/tex]
Collect like terms
[tex]2y = 4 - 6x[/tex]
Divide through by 2
[tex]y = 2 - 3x[/tex]
Substitute: [tex]y = 2 - 3x[/tex] in (1)
[tex]3y = 9x - 6[/tex]
[tex]3(2 - 3x) = 9x - 6[/tex]
[tex]6 - 9x = 9x - 6[/tex]
Collect like terms
[tex]9x+9x = 6+6[/tex]
[tex]18x = 12[/tex]
Solve for x
[tex]x = \frac{12}{18}[/tex]
Simplify
[tex]x = \frac{2}{3}[/tex]
Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]
[tex]y = 2 - 3*\frac{2}{3}[/tex]
[tex]y = 2 - 2[/tex]
[tex]y =0[/tex]
So, we have:
[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]
The system is consistent because it has at least 1 solution
The system is dependent because it has more than 1 solution
I need the answer fast pls
Answer:
530!
Step-by-step explanation:
subtract the biggest value and the lowest value
Answer:
530
Step-by-step explanation:
Order the numbers from least to greatest, get the biggest and the lowest number and subtract both and then you find the range.
340,400,400,870
870-340= 530
What expressions are equivalent to 2.097 help
Answer:
ur question is not complete.
Lorena's backpack has a mass of 15,000 grams.
What is the mass of Lorena's backpack in kilograms?
Lorena's backpack weighs
kilograms.
Answer:
1 kg = 1000 grams
15,000 grams = 15kg
(8422
A)
B
B)
9
D)
816
8
Answer:
8422
Step-by-step explanation:
Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Answer:
A cross section parallel to the base is a square with side lengths of less than 2 ft.
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
B D E
Step-by-step explanation:
Answer:
BDE
Step-by-step explanation:
I GOT IT RIGHT
Ulyssa draws a rectangle
that is 2/3 of a meter
long and 3/5 of a meter
wide. What is the area
of this rectangle?
Answer:
15m
Step-by-step explanation:
Grade 9 transformation graph
Answer:
1) D
2) C
3) A
4) B
Step-by-step explanation:
Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.
1) g(x) = -3^x
When x = 0, we have:
g(0) = -3^0 = -1
Then we know that the graph of this function will be either A or D.
Now, as x goes to really large values, 3^x will eventually approximate to infinity.
Then - 3^x will approximate to negative infinnity.
From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.
2) h(x) = (1/3)^(-x) = 3^x
This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.
then the graph if this function is C.
3) k(x) = - (1/3)^x = -1/(3^x)
When x = 0
k(0) = -(1/3)^0 = -1
We have two options with a y-intersect at y = -1 (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.
4) g(x) = 3^(-x) = 1/(3^x)
g(0) = 1/(3^0) = 1/1 = 1
And same as before, as x increases, g(x) tends to zero.
Then the remaining graph (B) is the graph of this function.
Answers
A. The x-coordinate is less than the y-coordinate
B. The x-coordinate has a greater magnitude than the y-coordinate
C. The x-coordinate is negative and the y-coordinate is positive
D. The x-coordinate has a greater absolute value than the y-coordinate
Help Please!
Answer:
c
Step-by-step explanation:
because the coordinate of x is negative
Find the arc length of the partial circle.
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
The square of p varies inversely as q. When Q=6 p=4
What is the value of q when
P = 12
A. 2/3
B. 3/2
C. 2
D. 18
Answer:
A
Step-by-step explanation:
Given p² varies inversely as q then the equation relating them is
p² = [tex]\frac{k}{q}[/tex] ← k is the constant of variation
To find use the condition when q = 6, p = 4 , then
4² = [tex]\frac{k}{6}[/tex]
16 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
96 = k
p² = [tex]\frac{96}{q}[/tex] ← equation of variation
When p = 12 , then
12² = [tex]\frac{96}{q}[/tex] ( multiply both sides by q )
144q = 96 ( divide both sides by 144 )
q = [tex]\frac{96}{144}[/tex] = [tex]\frac{2}{3}[/tex] → A
6. Let the function g be defined by g(x) = x4 – x3 – 9x2 + 9x. It is given that
x = 1 is a zero of the function g. Which of the following best represents the fully
factored form of the function g?
Answer:
A
Step-by-step explanation:
There is an x in all for terms that means that x = 0 is one of the factors and H is incorrect.
One of the remaining factors is x^2 - 9 which factors into (x - 3)(x + 3)
You are told that x = 1 is a zero which means x - 1 is a factor.
The answer is g(x) = x (x - 3)(x + 3) (x - 1) which is A
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test
B. No, because it is not a straight line
C. Yes, because it is a curved line
D. Yes, because it passes the vertical line test
Answer:
D. Yes, because it passes the vertical line test
Step-by-step explanation:
Whoever gets the answer first and its correct gets brainlist!
Answer:
No because the graph is not a straight line
Step-by-step explanation:
Since the slope isn’t constant, the graph is not linear
Urgent math question, 10 points for a solve.
Answer:
cot (X) = 5/12
Step-by-step explanation:
tan (X) = opp/adj so cot (X) is adj/opp
Which set of numbers does NOT represent the lengths of the sides of a triangle? (6, 18, 23) (6, 22, 17) (16, 24, 7) (22, 8, 15
Answer:
(16, 24, 7)
Step-by-step explanation:
The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.
But 16 + 7 = 23 is not greater than 24.
find the measure of the angle indicated
1. 73
2. 57
3. 84
4. 83
Answer:
2 . 57
Step-by-step explanation:
sorry if I'm wrong I'm not the Brady at math just trying
Lamont bowled 139, 131, 134, and 152 in four games. Which measure should Lamont use to convince his parents to let him join a bowling league?
Answer:
He should use 139
Step-by-step explanation:
Because that's the highest score he got and in bowling and you want the highest score in bowling!!!
factorize the following (x+3)²(2x-3)
Answer:
Step-by-step explanation:
it is already in factors.
5,2,4 does this make a triangle
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
Increase £15837.77 by 18.5%
Give your answer rounded to 2 DP.
Answer: 18767.76
Step-by-step explanation:
HILL BOOMERANG I BEG OF YOU GUYS PLEASE HELP IF YOU KNOW AND UNDERSTAND IT
Answer:
5. 2√6
6. 4
Step-by-step explanation:
5. x =√[3×(3+5] = √3×8 =√24=2√6
6. x(x+5)=6²
x²+5x=36
x²+5x-36=0
(x+9)(x-4) =0
x=-9 or x=4
A student divided f(x) = 3x3 + 8x2 + 5x – 4 by x + 2 and found the remainder was r = -6. Based
on the remainder theorem, what can be concluded about f(x)?
9514 1404 393
Answer:
f(-2) = -6
Step-by-step explanation:
The remainder theorem tells you the remainder from division by x+2 is the value of f(-2). We can conclude ...
f(-2) = -6