Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden
[tex]2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29[/tex]
So,
length = x
width = y = [tex]29-x[/tex]
The length is reduced by 7 feet and the width becomes half.
New length = [tex]x-7[/tex]
New width = [tex]\frac{1}{2}(29-x)[/tex]
New perimeter = 34 foot
[tex]2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19[/tex]
So,
New length [tex]=x-7=19-7=12\,\,foot[/tex]
New width = [tex]\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot[/tex]
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
Which equation represents the line that passes through the points (–4, 3) and (2, –12)?
–9x + 2y = 42
x + 2y = 2
5x + 2y = –14
2x + 5y = 7
Answer:
5x + 2y = –14
Step-by-step explanation:
Graph the points and find the equation from there.
Answer:
the answer is 5x + 2y = –14 their right
Step-by-step explanation:
Gina Needs To Pack 130 Pens, 50 Pencils And 20 Erasers Into Identical Gift Bags So That Each Item Is Equally Distributed Among The Gift Bags. (I) Find The Largest Number Of Gift Bags That Can Be Packed. (Ii) Find The Number Of Each Item In A Gift Bag.
Answer:
Step-by-step explanation:
I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all
If you did that, then each gift bag would contain 2 pencils with 10 left over.
Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.
5/6 - 1/3 divided by 5/12
Answer:
1/30
Step-by-step explanation:
1-Intercambiamos los numeros de la ultima fraccion:
5/6 - 1/3 entre 5/12
2-intercambiamos posision, numeros y cambiamos el signo de resta a signo de multiplicacion:
1/3 x 12/5: 4/5
3-convertimos la operación en enteros (despues de aver hecho mas pasos)
25-24/30
4-restamos: 25 - 24=1
1/30
que espero te haya ser de mucha ayuda!!!
Which of the following is a rational number?
v1, v2, v3, v5
Answer:
5
Step-by-step explanation:
Which of the following statements BEST proves that ∠XWY ≌ ∠ZYW?
A.
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
B.
If two parallel lines are cut by a transversal, then complementary angles are congruent.
C.
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
D.
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Answer: C
Step-by-step explanation:
The pair of angles created on the inner side of the parallel lines intersected by a transversal but on opposing sides of the transversal is known as an alternative interior angle. The correct option is C.
What are Alternate Interior angles?When two parallel lines are intersected by a transversal, the pair of angles created on the inner side of the parallel lines but on opposing sides of the transversal is known as an alternative interior angle. These angles are always equal in measure.
The best statements BEST that proves ∠XWY ≌ ∠ZYW is that If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Hence, the correct option is C.
The complete question is mentioned in the image below.
Learn more about Alternate Interior Angles here:
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Please explain how you got the answer. Will mark Brainliest if correct.
A:-56
B:56
C:-48
D:48
Answer:
Hi there!
Your answer is:
A: -56
Step-by-step explanation:
-14=1/4 X
Solve for x!
Multiply both sides by the inverse of 1/4, which is 4! (1/4*4=1)
-14=1/4x
*4 *4
-56 = 1x
ALSO! Check your work!
-14= 1/4(-56) ??????
-14 = -14 YES
Your answer is A: -56
-14=1/4 X
Multiply both sides with the inverse of one over four (1/4*4=1)
-14=1/4x
*4 *4
-56 = 1x
Write the distance from the Sun to Mercury in scientific notation. Include units with your answer
Answer:
4.600 x 107 km (3.075 x 10-1 A.U.)
Step-by-step explanation:
Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the angle from C to A to be 55°. Knowing that the angle between CB and BA was 90°, they used trig to solve for the distance. Show how it was done
Answer:
AB ≈ 70mStep-by-step explanation:
Check the attachment for the diagram.
You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;
tan 35° = opposite/adjacent
tan 35° = AB/BC
tan 35° = AB/100
AB = 100tan35°
AB = 100 * 0.7002
AB = 70.02m
Hence the distance across a lake between A and B is approximately 70m
3:4 is equivalent to ____:20.
Answer:
4 time 5 equals to 20
3 times 5 is 15
15:20 is the answer
Step-by-step explanation:
Evaluate -2x^2 2y, if x = -3 and y = -1.
ANSWER is 16.
look at the photo to see the step by step equation :)
What is the value of d that makes lines e and f parallel?
D=
10
13
85
115
Answer:
d = 13
Step-by-step explanation:
For the lines to be parallel, then
5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent, thus
5(2d - 3) = 6d + 11 + 2d ← distribute left side
10d - 15 = 8d + 11 ( subtract 8d from both sides )
2d - 15 = 11 ( add 15 to both sides )
2d = 26 ( divide both sides by 2 )
d = 13
The value of d that makes lines e and f parallel is 13units.
It is required to find the value of d.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
For the lines to be parallel, then
5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent.
According to given question we have,
5(2d - 3) = 6d + 11 + 2d
Distribute left side we get,
10d - 15 = 8d + 11
subtract 8d from both sides we get,
2d - 15 = 11
Add 15 to both sides we get,
2d = 26
Divide both sides by 2 we get,
d = 13units.
Therefore, the value of d that makes lines e and f parallel is 13units.
Learn more about line here:
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x>-4
Examine the inequality and its graph.
6 5 4 -3 -2 -1 0 1 2
Which values are part of the solution set? Check all
that apply.
O x= 3
x= -5
OX=--
1
2
x= -4.5
x= -4
Answer:
A and C
Step-by-step explanation:
did assignment on edge
Please HELPPP 9 mins left!!!
Answer: 8°
Step-by-step explanation:
57+90=147
147+4x+1= 180
147+1= 148
148+4x=180
180-148=32
32/4=8
x=8°
Find the value of x.
Area of rectangle = 36
▅ х
x + 5
The value of x is 4, which is determined by the quadratic equation.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The rectangle of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that area of the rectangle = 36
Area of rectangle = width of the rectangle × length of the rectangle
Here the width of the rectangle = x
And length of the rectangle = x + 5
The rectangle of a rectangle = x × (x + 5)
36 = x² + 5x
x² + 5x - 36 = 0
x² + 9x - 4x - 36 = 0
(x + 9)(x - 4) = 0
x = -9 and x = 4
Take the value of x = 4 and the negative value is neglected because the dimension can't be negative.
Therefore, the value of x is 4.
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Levi bought 14 chicken wings for $22.40 how much would it cost for 12 wings
Answer:
x =19.20
Step-by-step explanation:
We can use ratios to solve
14 wings 12 wings
------------- = ---------------
22.40 x
Using cross products
14x = 22.40 * 12
14x =268.8
Divide each side by 14
14x/14 = 268.8/14
x =19.20
If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of
pants?
Please I need help fast
Answer:
you would pay 2.38 sales tax for a 34 dollar pair of pants
Step-by-step explanation:
Fully simplify the expression-3xy/6x
Answer:
-1xy
-------
2x
Step-by-step explanation:
divide all by 3
Answer:
−1/2x^2y
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
B
Step-by-step explanation:
Realised I could stilll answer so i did, from what I can tell its b
Find the value of x
3x + 40
5x - 45
3x + 40 = 5x - 45
2x = 85
x = 42.5
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
3x + 40
3x+40=0
3x= -- 40
x= -- 40/3
5x--45
5x--45=0
5x= 45
x =45/5
x = 9
PLEASE ANSWER THE QUESTION CORRECTLY!!!!!!!!!!!!
Answer: -2,2
Step-by-step explanation:
Question 5 of 5
Evaluate -(5-4)(52)
A.-1/25
B. 25
C. -25
D. 1/25
Answer:
it should be negative 52 so i would go with C
Step-by-step explanation: it is the closest to the answer
In the figure, m∠2 = 70. Find the measure of each angle.
Answer:
35 is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
1- angle number 3 is 70
2- angle number 5 is 110
3- angle number 8 is 110
4- angle number 1 is 110
5- angle number 4 is 110
6- anle number 6 is 70
PLEASE ANSWER ASAP !!!!
Simplify the following to an expression involving a single
trig function with no fractions.
Answer
Step-by-step explanation:
cos x
HAVING BAD DAY HELP
Suppose Karen reads 50 pages per day during the week, but then reads 1.5 times as many pages on Saturday and Sunday. How many pages total will Karen read on Saturday and Sunday?
Answer:
150 total pages read over the weekend, 75 for Saturday and 75 for Sunday.
Step-by-step explanation:
50×1.5=75
75+75=150
Answer:
Step-by-step explanation:
50 pages, 1.5 times as many
multiply:
50 x 1.5 = 75
If by "1.5 times as many on satuday and sunday" is including both days and not separately it will be 75 pages on saturday and sunday together..
If it says that she read 1.5 times as many on Saturday and 1.5 times as many on sunday, It will be 75 on saturday and 75 on sunday which is 150 pages.
I hope this wasn't confusing, I'm not sure on the wording of the question a bit, but I gave both possible answers.
Solve the inequality 2x + 10 < 5x + 1
Answer:
3 < x
Step-by-step explanation:
Solve x2 = −169. Thank youuuuuuuuuuu
Answer:
x=-84.5
Step-by-step explanation:
Herky is putting money into a savings account on a weekly basis to buy a DVD player that costs $179.40 including tax. He asks Mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. Mario gives him the answer and explains how he found the answer. What does Mario say?
He tells Herky he needs to save $18.05 per week. He explains that he found his answer by subtracting $35.00 from $179.40, then dividing the result by 8.
He tells Herky he needs to save $22.43 per week. He explains that he found his answer by dividing $179.40 by 8.
He tells Herky he needs to save $26.80 per week. He explains that he found his answer by adding $35.00 to $179.40, then dividing the result by 8.
He tells Herky he needs to save $57.43 per week. He explains that he found his answer by dividing $179.40 by 8, then adding $35.00.
Answer:
b
Step-by-step explanation:
can someone help with that?
if x+y=2, calculate:
P=4x (x-3)+4y(y-3)+8xy
Answer:
Step-by-step explanation:
P = 4x(x - 3) + 4y(y - 3) + 8xy
= 4x² - 12x + 4y² - 12y + 8xy
= (4x² + 8xy + 4y²) - (12x + 12y)
= 4(x² + 2xy + y²) - 12(x + y)
= 4(x + y)² - 12(x + y)
x+y =2 ⇒ P = 4.2² - 12.2 = 16 - 24 = -8
X+5x-3x-4 simplified?
Answer:
3x-4
How to find it:
x + 5x - 3x - 4
Add like terms
6x - 3x - 4
Add like terms
3x - 4
Answer:
3x-4
Step-by-step explanation:
Combine like terms, x + 5x gives you 6x but then subtract 3x and you have only 3x.
Keep 4 the same and your answer is 3x-4
Mark brainliest if possible!
