Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftRecall:
Area of rectangle: A = length x widthGiven:
Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470Required:
Dimensions of the field (the length and the width).Thus, using the area formula, the equation below is derived:
[tex](l)(l - 470) = 15,000[/tex]
Solve for l[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]
Factorize[tex](l + 30)(l - 500) = 0\\\\[/tex]
[tex]l = -30 $ or $ l = 500[/tex]
We will go with the positive value, which is 500.
Therefore, the length of the rectangular field is 500 ft.
Width = l - 470
Plug in the value of lWidth = 500 - 470
Width = 30 ft
Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftLearn more here:
https://brainly.com/question/16410706
I need the answer ASAP
Answer:
Step-by-step explanation:
49 i Think I dont know but your part A is correct
Answer:
49 For sure is your answer
To form the blue parallelogram, the red parallelogram is dilated using point A as the
center of dilation. Which statement is true?
Answer:
option b
Step-by-step explanation:
have a great day
pls mark as brainliest
Answer:
B
Step-by-step explanation:
What is the equation of the line -3 x - 2 y= 30 in slope intercept form
Answer:
[tex]y=-\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
So, all we have to do is make y the subject.
[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]
Answer:
y = (3/2)x - 15
Step-by-step explanation:
For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.
Original:
-3x - 2y = 30
and we want y to be the subject, so we start moving terms:
-3x = 30 + 2y
-3x - 30 = 2y
now it's just a matter of dividing both sides by 2 to give y as the subject
(-3/2)x - 15 = y
y = (-3/2)x - 15
please help me with this sum
Answer:
lol no34532534
Step-by-step explanation:
Dos rectas se cortan formando un ángulo de 135°. Si se sabe que la recta final tiene una pendiente igual a 4, podríamos indicar que las rectas son:
Paralelas
b.
Semirectas
c.
Secantes
d.
Perpendiculares
Las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)
Las dos rectas en cuestión no pueden ser paralelas pues sus pendientes son distintas y, por consiguiente, se intersecan en algún lugar del plano.
Tampoco pueden ser semirrectas pues el enunciado indica que existen dos rectas y las rectas no tienen principio ni fin.
Mucho menos pueden ser perpendiculares, pues el ángulo es distinto a 90°.
En consecuencia, las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)
Invitamos cordialmente a ver esta pregunta sobre rectas: https://brainly.com/question/21478732
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answer:
20 million vehicles in total
Step-by-step explanation:
25%=1/4
5 million vehicles = 25%
100%/25%=4
5 million * 4 = 20 million vehicles in total
What is the HCF of two consecutive odd numbers?
Answer :
1 one, it's one hoped this help !
The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
The radius of a circle is 3 yards. What is the circle's circumference?
Hello there! The formula for finding the circumference of a circle is
[tex]C=\pi d[/tex]
We are given that the radius is 3.
Don't worry! We can find the diameter. The diameter is 2 times the radius, so the diameter is 6 yards.
Now multiply π by 6:
C=18.8 yards
Hope this helps you! Please mark Brainliest if it does!
~Just a joyful teen
[tex]SilentNature[/tex]
Rationalise 10/√7-√2
[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
Helpppppppppppppppppppppp!!!!!!! Plzzzzzzzzzzzzzzz
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]
Solving for y, we get
[tex]y = 30°[/tex]
So the other two angles of the triangle are
[tex]2y = 2(30°) = 60°[/tex]
and
[tex]3y = 3(30°) =90°[/tex]
tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?
Answer:
5437
Step-by-step explanation:
Subtract the original amount 6,719 and 1282
you get 5,437
Hope this helps!
Have a nice day! :D
Mark brainliest if possible pls :)
f(x)=-9/x, a=-11, I don't know how to do this and I really need help with this. Please help
Answer:
9/11
Step-by-step explanation:
f(X)=-9/X
f(a) =-9/-11
f(a)= 9/11
PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!
Answer:
y = [tex]\frac{3}{4}[/tex] x
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive
Directions: Find the value of x.
Answer:
approximately 7 cm
Step-by-step explanation:
I’m not absolutely sure so double check
.Factor 20x2 + 68x - 160
Answer:
4(5x-8) (x+5)
Step-by-step explanation:
4(5x^2+17x-40)
4(5x-8) (x+5)
I need step by step solution..
the general solution of cosx-sin3x=cos2x is..??
Answer:
I am doiiinnnnnnnnngggggg
A truck can be rented from Company A for $80 a day plus $0.40 per mile. Company B charges $40 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company
whats 3/4+1/8 i dont know how to add them help im not cheating i promise i just need it to answer the question that i have and i couldn't ask it because it has a picture and i dont know how to take a picture on it because im on my personal chromebook
Answer:
7/8
Step-by-step explanation:
You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8
The average distance from Earth to the Moon is approximately 384,400,000 kilometers.
What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?
A 3.844 x 10^4 kilometers
B 3.844 x 10^5 kilometers
C 3.844 x 10^7 kilometers
D 3.844 x 10^8 kilometers
9514 1404 393
Answer:
D. 3.844 × 10^8 kilometers
Step-by-step explanation:
To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.
Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...
3.844 × 10^8 km
each big square below represents one whole. what percent is represented by the shaded area?
Answer:
43%
Step-by-step explanation:
mark me as brainliest please
The number 62 is less than the number of tickets sold in a day at an amusement park. Which of the following inequalities represents the number of tickets sold in a day at the park?
A.
x > 62
B.
x < 62
C.
x = 62
D.
x < 64
Answer:
A
Step-by-step explanation:
because > means more than the other number
Find the product of 44.6 and 2.34.
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
what number is in the Tenths place for 315.84
Answer:
The number in the tenths place is 8
Step-by-step explanation:
Answer:
8.
Step-by-step explanation:
The first number after the decimal represents the tenths place. 315.84 8 is right after the decimal so it's in the tenths place.
15. Reid earns $15 for each lawn he cuts. He wants to buy a new bike that costs
$109. How many lawns will he need to cut in order to have enough money?
Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.
The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.
For any function to have a maximum, the differential of the function must be equal to zero.
If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.
For the function [tex]f(x)=-(m+x)^2[/tex]
[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]
Since the value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]
Learn more here: https://brainly.com/question/12185438
PPPPLLLSSS HELP THIS IS WORTH SIXTY PERCENT OF MY GRADE. I DONT GET HOW SINCE IT ONLY TWO QUESTIONS BUT IT IS. PLEASE HELP
1. What is the value of the expression 15⋅6-2^2⋅8+4^3 is ______
2. What is the value of the expression 2^3+2^2⋅2+6-2^1⋅2^0-1 is ______
Answer:
122; 19Step-by-step explanation:
#115 ⋅ 6 - 2² ⋅ 8 + 4³ =15 ⋅ 6 - 4 · 8 + 64 = 90 - 32 + 64 = 58 + 64 = 122#22³ + 2² ⋅ 2 + 6 - 2¹ ⋅ 2⁰ - 1 =8 + 4 · 2 + 6 - 2 · 1 - 1 = 8 + 8 + 6 - 2 - 1 = 22 - 2 - 1 = 20 - 1 =19What is the decimal equivalent of 9.7 X 10^5
Answer:
B)
Step-by-step explanation:
9.7×10⁵= 970000
Hope this helped you- have a good day bro cya)
Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).
Answer:
9 unit²Step-by-step explanation:
The points are plotted and the figure is a parallelogram with base and height both of 3 units long.
The area is:
A = 3*3 = 9 unit²
pls I need help, it's due tomorrow!!
Answer:
1)
Angle 1: 59
Angle 2: 88
Angle 3: 147
2)x =21
Step-by-step explanation:
1)
Angle on a straight line add up to 180 degrees and angles in a triangle add to 180 degrees
2)
Opposite angles are equal. (4x) and (2x+42) are opposite therefore equal, so
4x=2x+42
Minus 2x from both sides
2x = 42
Find 1x by dividing 42 by 2, therefore
X=21
Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(10, 0), (0, −6)
Answer:
0.6
Step-by-step explanation:
Lets plug these points in:
[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]