Answer:
The length and width of the rectangular garden are 20 feet and 10 feet.
Step-by-step explanation:
Given that the length of fencing = 60 feet
The area of the garden = 200 sq. feet.
As the length of the fencing is equal to the perimeter of the garden, so the perimeter of the rectangular garden is 60 feet.
Let l and b be the length and width of the rectangular garden.
So, the perimeter of the garden = 2(l+b)=60
[tex]\Rightarrow l+b=60/2=30[/tex]
[tex]\Rightarrow l=30-b\cdots(i)[/tex]
The area of the rectangular garden [tex]= l\times b=200[/tex]
[tex]\Rightarrow (30-b)b=200[/tex] [from equation (i)]
[tex]\Rightarrow 30b-b^2=200[/tex]
[tex]\Rightarrow b^2-30b+200=0[/tex]
[tex]\Rightarrow b^2-10b-20b+200=0[/tex]
[tex]\Rightarrow b(b-10)-20(b-10)=0[/tex]
[tex]\Rightarrow (b-20)(b-10)=0[/tex]
[tex]\Rightarrow b-20=0 \;or\; b-10=0[/tex]
[tex]\Rightarrow b= 20\;or\; 10[/tex]
Now, from equation (i),
If b=20 than l= 30-20=10
or if b=10 than l=30-10=20.
Hence, the length and width of the rectangular garden are 20 feet and 10 feet.
In rectangle KLMN, KM = 6x + 16, and LN = 49. Find the value of x.
Answer:
D. 5.5
Step-by-step explanation:
Answer: 5.5
Step-by-step explanation:
KM=LN
6x+16=49
6x=33, x=5.5
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
79°
Step-by-step explanation:
A straight line is 180°.
180°-101°=79°
EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
Well the equation of the line is -3x+4, so we know the slope is -3/1
Answer:
1/3
Step-by-step explanation:
Rise = 1
Run 3
Find the cost of kg of apples and the cost of an orange using simultaneous equations method:
Meredith borrows $12,560 and pays 2 percent simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan? $251.20 $1,004.80 $11,555.20 $13,564.80
Answer:
C
Step-by-step explanation:
1. what is the degree of the polynomial equation 6x⁴ -3x²+2x⁵-4x³+5x-7?
2. what is the standard form of the polynomial equation
x (x-2)(x+2) = 0?
3. Find the polynomial equation with roots 1/2 and 2/3?
Answer:
1. The degree is 4
2. x^3 - 4x =0
3. x-1/2=0 x-2/3=0
Brainliest Please, I did the work for u!
Answer:
hope it helps hehe
im Portuges
:))
1.4
x-1/2=0
satnam is making a cake he uses a batter made out of 400 g of dry ingredients if the liquid has to be 2/7 of the total weight of batter how much liquid should he add
You take [tex]\frac{2}{7}[/tex] of [tex]400[/tex].
Which is: [tex]\frac{800}{7} = 114.8 mL[/tex]
i need the answers asap :) please actually answer! i give lots of points :)
Answer:
I say 65 hours hope it helps
Step-by-step explanation:
The price of the meal was $29.85. • The sales tax was 6% of the price of the meal. • The tip was 15% of the meal and the sales tax. How much money did the Smith family pay for the meal, including tax and tip?
Answer:
£36.39
Step-by-step explanation:
hope this helps
Which of the following has a value less than or equal to 5 1/4
1. 0.52 x 10
2. 12 x 1/2
3. -0.2 x -23
Answer:
1 and 3
Step-by-step explanation:
Ok so you need to start with solving each answer.
1. 5.20
2. 6
3. 4.6
so actually. 1 and 3 have a value less than or equal to 5 1/4 or 5.25
The table represents some points of a linear function.
Which function represents the same relationship?
A. h(x) = -3x - 10.5
B. h(x) = -x - 3.5
C. h(x) = 3x - 10.5
D. h(x) = x - 3.5
The linear function will be represented as h(x) = -3x - 10.5. The correct option is A.
What is a linear function?The terms "linear function" in mathematics refer to two different but related ideas: A linear function is a function with a graph that is a straight line in calculus and related fields.
The given data in the table is:-
X -7.5 -3.5 -1 2
Y 12 0 -7.5 -16.5
The linear function can be written as:-
y = mx + c
m = ( 0 - 12 ) / ( -3.5 + 7.5 )
m = -12 / 4
m = -3
The y-intercept will be:-
y = mx + c
0 = ( -3 x -3.5 ) +c
c = -10.5
The linear function is:-
h(x) = -3x - 10.5
To know more about linear functions follow
https://brainly.com/question/15602982
#SPJ2
2⁰+2¹+2²+2³+...+2²⁰¹⁹
In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively
meeting at O. Prove that
angle AOB = half of [angle C+ angle D]
Answer: ABCD is a quadrilateral
To prove : ∠AOB=
2
1
(∠C+∠D)
AO and BO is bisector of A and B
∠1=∠2∠3=∠4...(1)
∠A+∠B+∠C+∠D=360
(Angle sum property)
2
1
(∠A+∠B+∠C+∠D)=180...(2)
In △AOB
∠1+∠3+∠5=
2
1
(∠A+∠B+∠C+∠D)
∠1+∠3+∠5=∠1+∠3+
2
1
(∠C+∠D)
∠AOB=
2
1
(∠C+∠D)
Explanation: In a quadrilateral ABCD. AO and BO are bisectors of angle A and angle B respectively. Prove that ∠AOB=
2
1
{∠C+∠D}.
The stemplot below displays the times, in seconds, for 25 students to run 100 meters.
A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
Which of the following is the correct five-number summary?
22, 24, 26, 28, 29
23, 24.5, 26, 28, 29
22, 24, 27, 28, 30
22, 24.5, 26, 28, 30
Given:
The data values are 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
To find:
The five-number summary.
Solution:
We have,
22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30
Divide the data values on 2 equal parts.
(22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30)
Divide each parentheses in two equal parts.
(22, 23, 23, 24, 24, 24), (25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28), (28, 28, 28, 29, 29, 30)
Now,
Minimum value = 22
[tex]Q_1=\dfrac{24+25}{2}=24.5[/tex]
Median = 26
[tex]Q_2=\dfrac{28+28}{2}=28[/tex]
Maximum value = 30
So, the five number summary is 22, 24.5, 26, 28, 30.
Therefore, the correct option is D.
Solve the following equation for x.
5/8x +4 = 3/8x +12
Answer:
x=32
Step-by-step explanation:
8(5/8x+4 = 3/8x+12)
5x+32=3x+96
2x+32=96
2x=64
x=32
Answer:
x = 32
Step-by-step explanation:
5/8x + 4 = 3/8x + 12
subtract 3/8 from both sides
2/8x + 4 = 12
simplify
1/4x + 4 = 12
subtract 4 from both sides
1/4x = 8
multiply each side by the reciprocal of 1/4
4/1 • 1/4x = 8 • 4/1
solve
x = 32
What polygon does the new shape resemble?
Answer:
Triangle
Step-by-step explanation:
NICE try :)
Like y'all is so nice for helping me because this work is so hard so can yall help me and i will give barinlest☺️
Answer:
The answer is A I hope it’s right
Step-by-step explanation:
405-319=86
Are the triangles congruent?
1. If they are congruent tell me the how you determined congruence, AND tell me the rigid transformations
needed to match the triangles over each other.
2. If they are not congruent then answer "not congruent" or "not enough information" and explain why.
Answer:
yes they are congruent because they are the same size
Step-by-step explanation:
theyre the same size so yes
Line w passes through point (-6, -7) and has a slop 1/2. What is the equation for the line in point-slope form?
Answer:
y + 7 = 1/2 ( x + 6 )
Step-by-step explanation:
y - y1 = m(x - x1)
What is the prime factorization of 144? Be sure to show your strategy.
Answer:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3, which can also be written 144 = (2^4) x (3^2)
Step-by-step explanation:
Zuri quickly solved the problem and told her team, "Hey! I go it m\large \angleA = 93°, m\large \angleB = 63°, m\large \angleC = 36°. Done!" Mikaya and Olivia are suspicious. Does Zuri have the correct answer, or are Mikaya and Olivia correct to be suspicious? Explain completely. Be clear, specific, and detailed.
Answer:
Mikaya and Olivia are correct to be suspicious
Step-by-step explanation:
Sum of the angles of a triangle is always 180
But, The sum of all angles of the triangle that Zuri solved = 93 + 63 + 36 = 192 ≠ 180
So, Zuri is wrong
What is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) in slope-intercept form?
A. y = 1/2x -3/4
B. y = 1/2x + 3/4
C. y = 3/4x -1/2
D. y = 3/4x + 1/2
I've got about 40 mins, so please hurry!
Answer: b is the answer
Step-by-step explanation:
Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
Each pair of vertical angles is congruent.
Each pair of corresponding angles is congruent.
Each pair of supplementary angles is congruent.
Each pair of alternate interior angles is congruent.
Answer:
Step-by-step explanation:
Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question
Each pair of alternate interior angles is congruent (think it should be are congruent).
Each pair of corresponding angles is congruent
Evaluate the expression when x = -6
Answer:
−39
Step-by-step explanation:
−6^2+5−6−2
=−36+5−6−2
=−31−6−2
=−37−2
=−39
Answer:
4
Step-by-step explanation:
(-6)^2 + 5(-6) -2
= 36 - 30 - 2
= 6 - 2
= 4
Is this the one you meant?
b) Solve x^2 + 5x + 6 = 0
Answer:
(x+2)(x+3)
Step-by-step explanation:
if you want the values of x
x = -2
x = -3
A student charges $31.50 for 3 hours of babysitting. If the amount the student earns babysitting is proportional to the hours spent babysitting, which equation models the amount of dollars, y, the student earns for x hours of babysitting?
A. y is equal to 0.1 x
B. y is equal to 3.0 x
C. y is equal to 10.5 x
D. y is equal to 31.5 x
Answer:
C) y is equal to 10.5x
Step-by-step explanation:
$31.50 is charged for 3 hours so, for 1 hour we need to divide 31.50 by 3, which results in 10.50. So 1 hour of babysitting is $10.50
this is because x is equal to the number of hours they babysit. we do not know the actual so it is replaced with x
and y is equal to the sum of 10.5x because we multiply the number of hours worked, and the amount per hour.
Myesha thinks that it will take Kyra 90 minutes to walk 5 miles. Is Myesha correct
Help me please !!!!!
Answer:
Step-by-step explanation:
The way to do this is just to add the two real parts together and add the two imaginary parts together.
2 + 5j + 7 - 3j
2 + 7 + 5j - 3j
9 + 2j
The sport of wrestling is becoming more popular among girls. The ratio of girls to boys in wrestling is 1 to 5. If there are 200 boys in a wrestling league, how many girls are there? *
Answer:
40
Step-by-step explanation:
200 divided by 5 is 40, and 40 times 1 is 40.
Answer:
40 girls
Step-by-step explanation:
-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal
Answer:
-2
Step-by-step explanation:
