[tex]answer = 12 \: ft \\ solution \\ perimeter = 43 ft\\ breadth = 9 \times \frac{1}{2} = \frac{19}{2 } = 9.5 \: ft\\ now \\ perimeter \: of \: \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43= 2(l + 9.5) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43 = 2l + 19 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = 19 - 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = - 24 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: l = \frac{ - 24}{ - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 12 \: ft \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
[tex]length = 12ft[/tex]
Step-by-step explanation:
Given that,
[tex]width =9 \frac{1}{2} = 9.5[/tex]
Let's find the length
[tex]perimeter \\43 = 2(l + w) \\ 43= 2(l + 9.5) \\ 43 = 2l + 19 \\ 43 - 19 = 2l \\ 24 = 2l \\ \frac{24}{2} = \frac{2l}{2} \\ l = 12[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find equation of a line passing through the pair of points. Write the equation in the form Ax+By=C (-2,2)and(-3,-9)
Answer:
11x - y = - 24Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line first find the slope
Slope of the line using points
(-2,2)and(-3,-9) is
[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]
Then use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) can be any of the points
Equation of the line using point (-2,2) and slope 11 is
y - 2 = 11 ( x + 2)
y - 2 = 11x + 22
11x - y = - 2 - 22
We have the final answer as
11x - y = - 24Hope this helps you
Which phrase should be inserted on the line to make a true statement? Use the models to help.
Answer:
2/3 = 8/12
Step-by-step explanation:
2/3 vs 8/12
Multiply the left by 4/4 to get common denominators
2/3 *4/4 = 8/12
They are equal
Answer:
is equal to or awnser D
Step-by-step explanation:If you divide the you get the same awnser
Richard's Rental Car charges a $55 rental fee and $0.25 per mile. Freddy's Rental Car charges a
$45 rental fee and $0.35 per mile. For how many miles, X, will the total charge of Richard's
Rental Car be no more than the total charge of Freddy's Rental Car?
2 < 10
> 10
> 100
2 < 100
Answer:
Correct option: third one -> X > 100
Step-by-step explanation:
The equation for the price of Richard's Rental Car is:
P1 = 55 + 0.25*X
The equation for the price of Freddy's Rental Car is:
P2 = 45 + 0.35*X
To find for how many miles will the total charge of Richard be less than Freddy, we have that P1 < P2, so:
55 + 0.25*X < 45 + 0.35*X
0.25*X - 0.35*X < 45 - 55
-0.1*X < -10
0.1*X > 10
X > 100
Correct option: third one
(1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. *
Answer:
1. 1320.7 km
2. 015.8 degrees.
3. 461.8 km/h.
Step-by-step explanation:
(1) the distance from the airport is approximately 1096.5 km.
(2) the bearing of the plane from the airport is approximately 24.4 degrees.
(3) the average speed of the airplane for the whole flight is approximately 580 km/h.
(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.
For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:
Distance = Speed * Time = 500 km/h * 2 h = 1000 km
For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:
Distance = Speed * Time = 300 km/h * 1.5 h = 450 km
Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:
Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)
Therefore, the distance from the airport is approximately 1096.5 km.
(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.
The angle can be calculated as:
Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)
Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.
(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.
The total distance traveled is the sum of the distances from the first and second legs of the journey:
Total Distance = 1000 km + 450 km = 1450 km
The total time taken is the sum of the time taken for each leg:
Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)
Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)
Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.
Learn more about average speed here
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x3 - 2x2 + 1 = 0 is a quadratic equation.
True
False
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.
This formula v = u + at, links:
initial velocity (u)
final velocity (v)
acceleration (a)
time (t)
What is the value of v if u = 5, a = 10 and t = 2?
Answer:
[tex]v=u+at[/tex]
[tex]v= 5+(10)\times2\\v=25[/tex]
What is the formula for the circumference of a circle in terms of r?
Answer:
2 x pi x r
Step-by-step explanation:
i just copy n pasted this on google
Step-by-step explanation:
c= 2πr
is the ordered pair (-4,3) a solution of the equation y=5x + 21
Answer:
Step-by-step explanation:
If you substitute x = -4 in the equation, you should get the y value as 3
y = 5x + 21
= 5* -4 + 21
= -20 + 21
y = -1 ≠ 3
So, (-4, 3) is not a solution
x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.
Answer:
x=35.44
Step-by-step explanation:
x=ky^3 and√z
x=k(y^3)(√z)
Find k when
x=7
y=2
z=4
7=k(2^3)(√4)
7=k(8)(2)
7=k(16)
7=16k
k=7/16
Find x when y=3, z=9
x=k(y^3)(√z)
x=(7/16)(3^3)(√9)
x=(7/16)(27)(3)
=7/16(81)
=567/16
x=35.4375
Approximate to 2 decimal places
x=35.44
Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
Help me solve please
Answer:
44Please see the attached picture for full solution
hope it helps...
Good luck on your assignment
Answer:
[tex]44[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
I need help with this question, Please
Answer:
42
Step-by-step explanation:
Just use Pythagoras theorem
can somone answer number 12, I really need it bad, please help .
Answer:
-24
Step-by-step explanation:
f(x) = 3x^3 -12x^2
f(2) = 3 * (2)^3 - 12 (2)^2
= 3 (8) - 12 (4)
= 24 - 48
= -24
Answer:
D. f(2)= -24
Step-by-step explanation:
To solve this problem, we want to find what f(x), or y is, when x is equal to 2.
f(x)=3x³-12x²
Therefore, we can substitute 2 in for every x.
x=2
f(2)=3(2³)-12(2²)
Evaluate the exponents first.
2³ is equal to 2*2*2, which equals 8.
2² is equal to 2*2, which equals 4.
f(2)=3(8)-12(4)
Multiply 3 and 8.
f(2)=24-12(4)
Multipy 12 and 4
f(2)=24-48
Subtract 48 from 24.
f(2)=-24
Therefore, the correct answer is D. f(2)= -24
What is the slope? WIL MARK BRAIN 20 POINTS
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Will give brainliest ! Just need the answer thats all
Answer:
Brainliest here!
Step-by-step explanation:
for this, its every number thats either 0 or less than 0
B,D,E
jenny has 36 cupcakes. how many kids (including jenny) can share these cupcakes evenly?
Answer:
2 people can have 18 cupcakes each
3 people can have 12 cupcakes each
4 people can have 9 cupcakes each
9 people can have 4 cupcakes each
Step-by-step explanation:
Answer: 1,2,3,4,6,9,12,18,36
Step-by-step explanation:
I WILL MARK YOU BRAINLIEST!!!
Answer:
A
Step-by-step explanation:
For f(x) = 2x+ 1 and g(x) = x^2 - 7, find (f+ g)(x).
Answer:
x^2 + 2x -6
Step-by-step explanation:
f(x) = 2x+ 1
g(x) = x^2 - 7
(f+ g)(x)= 2x+ 1 + x^2 - 7
Combine like terms
= x^2 + 2x -6
While training for an Ironman competition, Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. Johnson completed this routine twice a week. How far did Johnson travel in one week while training, in meters?
Answer:
55020 metres
Step-by-step explanation:
Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.
To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.
The sum of the distances is:
0.86 + 22.4 + 4.25 = 27.51 km
Multiply by 2:
27.51 * 2 = 55.02 km
1 km = 1000 metres
55.02 km = 55.02 * 1000 = 55020 metres
He traveled 55020 metres while training.
what is 100 divided by 3?
Answer:
0.003
Step-by-step explanation:
100 / 3 = 0.003
When dividing with (10, 100, 100 etc) you go this way <—
what is the surface area of cylinder with base radius 4 and height 7? either enter an exact answer in term of pi or use for 3.14 for pi and enter your answer as a decimal
Answer:
Step-by-step explanation:
The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.
Here this comes out to A = 2π(4)(7) = 56 π units^2
If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:
A = 2πr² = 2π(4 units)² = 32π units²
Answer:
its 88 pi
Step-by-step explanation:
i did it on khan
Please answer !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
f ⁻¹ (-2)=3
f ⁻¹ (1)= 0
Step-by-step explanation:
inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0
What is the completely factored form of f(x) = 683 – 1332 - 4x + 15?
Answer:-637
Step-by-step explanation:
Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
A
B
C
D
E
F A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E Triangle E
F. Triangle F
Answer:
Options (B) and (D)
Step-by-step explanation:
If two triangles have the same size and shape they are said to be congruent triangles.
Triangles given in the attachment,
Triangles A and E appear to be congruent.
And triangles C and F appear to be congruent.
[Since corresponding sides of these triangles don't appear to be the same in measure]
Remaining triangles B and D do not appear to be congruent.
Therefore, Options (B) and (D) will be the answer.
A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 5 x squared, 10 x. Second column entries are negative 2 x, negative 4. Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options. (x + 1) (2x + 1) (x + 2) (5x + 1) (5x – 2)
Answer:
(5x – 2) and (x + 2)Step-by-step explanation:
In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;
[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]
The factors that can be multiplied together are (5x – 2) and (x + 2)
Answer:
The Answer On Edge Is C.) and E.), Have Fun Dreamers!
Step-by-step explanation:
solve using eliminates method 3x-4y=15 2x-2y=8
Answer:
Step-by-step explanation:
24. John buys 20 bunches of bananas
For N5. He sells them all for N6.50.
What is his percentage profit?
(a) 3/12%
(b) 20%
(c) 30%
(d) 762/13%
(e) 77%
Answer:
30%
Step-by-step explanation:
Profit(Gain)% = [tex]\frac{Selling price - Cost price}{Cost price} * 100%[/tex]
Selling price = N6.50
Cost price = N5
∴ Profit% = [tex]\frac{N6.50 - N5 }{N5} * \frac{100}{1}[/tex]
= [tex]\frac{1.5}{5} * \frac{100}{1}[/tex]
= (1.5 * 20)%
= 30%
Hope this helps!!!
6. Classify this kind of triangle:
Answer:
Number 3
Step-by-step explanation:
It is an acute isosceles because all the angles are acute and two sides are congruent.
Answer:
Acute and isosceles
Step-by-step explanation:
All the angles are less than 90
2 sides are equal
i need help!How would i find the value of X?
YEAR 9 MATHS PLEASE QUICKLY HELP THIS WONT TAKE LONG
Here are six shapes made from centimetre squares.
Write down the letter of a shape with rotational symmetry of order 2.
(1 mark)
Answer:
letter of a shape with rotational symmetry of order 2 is B,D and F
Answer:
Step-by-step explanation:
i strongly believe it is rotational symmetry of order 2 is B,D and F .
hope it helps
-Delilah
