6) A garden is a rectangle 6 yards by 8 yards. If you walk diagonally across the garden
instead of along two adjacent sides, how many yards do you save? (5 points)
Answers
Answer:
Step-by-step explanation:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards.
Related Questions
At Marco’s Pizza House it costs $4.00 to make a small pizza. If they intend to mark-up the pizza by 80% what will the cost be for customers?
Answers
Answer:
$7.20
Step-by-step explanation:
4 times 0.8 is 3.20
Add them together to get the new cost
Answer:
$7.20
Step-by-step explanation:
11.) Solve the equation.
I
16m² + 8m = 0
a) m = 0, m = -2
b) m = 0, m=2
c) m= 0, m=
d) m = 0,m=-1/2
Answers
What is the Decimal expansion of 16/9
Answers
Answer:
1.7777777778
Step-by-step explanation:
The decimal expansion of 16/9 is 1.77.
What is decimal?Decimal is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
Given is to find out the decimal expansion of 16/9.
We can write the decimal expansion of 16/9 as -
16/9
(9 + 7)/9
(9/9 + 7/9)
1 + 7/9
1 + 0.77
1.77
Therefore, the decimal expansion of 16/9 is 1.77.
To solve more questions on decimals, visit the link-
https://brainly.com/question/11951473
#SPJ2
What is the answer to the equation: 8+10
Answers
Answer:
18, the answer to 8+10 is 18, like you learn in 1st grade
Answer:
18 the answer
hope it helps
please help will mark brainliest for right answer!
-thanks <3
Answers
Answer:
The answer is B
Step-by-step explanation:
us
Find the point-slope equation for
the line that passes through the
points (-6, 24) and (5, -31). Use
the first point in your equation.
Answers
Answer:
first box is 24
second is -5
third is -6
Step-by-step explanation:
What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3
Answers
Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
answer to 7x^2 - 3x + 6 = 0
Answers
Answer: 2.7
Step-by-step explanation: Hope this helps!
Answer:
(3 - [tex]\sqrt{159}[/tex]) / 14 ≈ -0.7
(3 + [tex]\sqrt{159}[/tex]) / 14 ≈ 1.1
Step-by-step explanation:
this quadratic has no real roots because of the negative square root
Stacy made 3 of her car payments late and was fined 3 late fees. The total change to her savings from late fees was - $24. How much was each late fee?
Answers
Answer:
$8
Step-by-step explanation:
I got my answer of $8 because I knew that the total amount of money she was charged for late fees was $24, and she was charged for 3 late fees. Then, I did $24 divided by 3 late fees and got $8 per late fee as my answer.
24 divided by 3 equals 8.
HELP!! I have been stuck on these questions forever! Im having to multiply or devide in scientific notation. Im having to find the sum or difference. I will mark brainiest.
Answers
The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
the following must be the radius of the circle?
Answers
Answer:
3 units
Step-by-step explanation:
Equation of the circle is:
[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]
[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]
Equating it with
[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]
We find: h = - 3 & k = - 1
Center of the circle (C) = (-3, - 1)
Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.
Therefore,
[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]
[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]
[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]
[tex] r = \sqrt{0 +9} [/tex]
[tex] r = \sqrt{9} [/tex]
[tex] r = 3\: units [/tex]
Write √7 using rational exponents
Answers
Answer:
[tex]7^{\frac{1}{2} }[/tex]
Step-by-step explanation:
rewritten using rational exponents
12 is what
% of 200?
Answers
Answer: 6%
pls give me brainliest ty
Step-by-step explanation:
Plzz help will mark brainiest Don't do it for the points
Answers
Answer:
I think the answer is B
Step-by-step explanation:
What fact will help you to find the measure of angles B and C in the diagram shown?
A) An equilateral triangle has 3 congruent angles.
B)
The height of an isosceles triangle bisects the base.
C) The base angles of an isosceles triangle are congruent.
D)
The midsegment of an isosceles triangle is parallel to the base
Answers
Answer:
The Answer is C
Step-by-step explanation:
Look at B and C you can see that they have a line on each angle. Also, know that isosceles have two congruent sides. So when looking at this triangle we can infer that C is our best bet.
The ratio of the number of girls to the number of boys in a sports club was 4:7. There are 18 more boys than girls in the club. How many pupils are in the club ALTOGETHER?
Answers
Answer:
66
Step-by-step explanation:
7 - 4 = 3
18 ÷ 3 = 6
6 × (4 + 7) = 66
Find the measure of an angle between 0º and 360º coterminal with an angle of –234º in standard position.
a.144º
b.126º
c.234º
d.54°
Answers
Answer:
126°
Step-by-step explanation:
hello :
234°=360°-126°..... so:
- 234°=-360°+126°
x - 2y = 2 3x + 3y = 24
Answers
Explanation yes
Answer:
Step-by-step explanation:
what the question
have a nice day
Use a 70% discount coupon or 40%, then 20%, then 10% on your whole purchase?
Answers
This is for today someone can help me pls!!!
Answers
Answer:
sdf
Step-by-step explanation:
sdfgh
Help me frl :( I don't understand and this is worth 25 point I'm willing to do that
Answers
Step 1: Simply both sides of the equations.
8c-12=8c-12
Step 2: Subtract 8c from both sides.
8c-12-8c=8c-12-8c
-12=-12
Step 3: Add 12 to both sides
-12+12=-12+12
0=0
All real numbers are solutions.
2.) A=L•W
6•3x-2
= 18x-2
A= 18x-2
A helicopter flies 665 feet above ground. What is the measure of the angle of depression fro t the helicopter to the girls line of sight
Answers
Answer:
67°
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE
From, trigonometry
tan(θ) = opposite/ adjacent
✓The helicopter is 665 feet from ground.
✓Distance of the helicopter and the line of sight of the girl will be the OPPOSITE SIDE, which is
(665ft - 5 ft)
= 600 ft
✓ from the figure, we can see the distance on the Horizontal side which is the ADJACENT SIDE as ( 280 ft)
✓angle of depression can be calculated as
tan(θ) = opposite/ adjacent
tan(θ)= (660/280)
tan(θ)= 2.357
tan-1=(2.357)
θ= 67°
Hence, angle of depression is 67°
Find the gradient for y= 1/4x-2
Answers
Answer:
1/4
Step-by-step explanation:
comparing with y=mx+c
What Is the first step in solving this quadratic equation
X^2+5x=6
A. Combine like terms
B. Set each factor equal to 0
C. Subtract from both sides to set the equation equal to 0
D. Factor
Answers
Answer:
Step-by-step explanation:
We need to move the 6 so that all three terms are on the left and only 0 is present on the right side: To do this, we (C) subtract 6 from both sides to set the equation equal to 0.
x^2 + 5x - 6 = 0
Help Please! :((( answer correctly please
Answers
Answer:
ILOVEMATH
10 = 90
11 = 35
12 = 16
13 = 200000
14 = 19
Step-by-step explanation:
What's the distance between (5, 13) and (9, 1)
Answers
Answer: 16
Step-by-step 8+8
Janine graphs these two lines and finds that they intersect.
y = -x + 1
2x + 3y = 6
Select the number from the drop down menu that correctly completes the
statement.
The y coordinate of the point of intersection is choose...
Answers
Answer:3
Step-by-step explanation:
If y=−3, then
4y
4+y
=
Answers
Answer:
4y4+y is 4x-3x4+-3 so the answer is -51
Step-by-step explanation:
4 times -3 is -12
-12 times 4 is -48
-48 plus -3 is -51
hope this is right lm.ao
Answer:
4 x -3 + 4 = 5
4 x -3= 1
4 + -3 =1
Step-by-step explanation:
I checked the calculator (Sorry if I’m wrong)
Work out the value of
x
The diagram is not drawn to scale.
Answers
The shape is a pentagon.
The interior angles of a pentagon always add up to 540°.
When you add up all the labeled angles in the picture, you get (16x + 12).
16x + 12 = 540
16x = 528
X = 33
Step-by-step explanation:
4x-25+3x+25+3x+15+4×+2x-3=360
4x+3x+3x+4x+2x-25+25+15-2=360
16x +12=360
16x=360-12
16×÷16=348÷16
×=21.75
plss help i really need this! i really need serious answer :(
Answers
Answer:
1) 4
2) 15/2
3) 75
Step-by-step explanation:
Answer:
BD is midsegment parallel to CEMidsegment is the half the parallel side1. If BD = 2, then CE = 2*BD = 2*2 = 4
2. If AC = 15, the AB = 1.2*15 = 7.5
3. If m∠ADB = 75°, then m∠AEC = m∠ADB = 75° as corresponding angles
4. If AE = 6x + 8 and BD = 18, then x is:
this is confusing, there is no direct relationship between these two segments5. If BD = x + 1 and CE = x + 10 then:
2(x + 1) = x + 10 ⇒ 2x + 2 = x + 10 ⇒ x = 8