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
6 x 10 5 is how many times the value of 3 x 10 (Hint: Write your answer in standard form.)
Answers
Answer:
0.000036
Explanation:
When multiplying a number by 10 to the power of a positive exponent (e.g.
10
3
), move the decimal in the number that many spaces to the right (e.g.
4.5
⋅
10
3
=
4500
).
When multiplying a number by 10 to the power of a negative exponent (e.g.
10
−
4
), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.
4.5
⋅
10
−
4
=
0.00045
).
For
3.6
⋅
10
−
5
, move the decimal five spaces to the left:
0.000036
Step-by-step explanation:
Plz help me it’s my last question giving brainliest
Answers
Answer:
1) A
This is your last one?
Hope this Helps!Hope this Helps!:)Erik transformed the equation y = 2(x − 2)2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)2 + 5
y = 2(x2 − 4x + 4) + 5
y = 2x2 − 8x + 8 + 5
y = 2x2 − 8x + 13
answer choices
No. The error is in the second line: the expanded form of (x − 2)2 is x2 − 4.
No. The error is in the third line: the product of 2 and x2 − 4x + 4 is 2x2 − 4x + 4.
No. The error is in the fourth line: the sum of 8 and 5 is 12.
Yes. Erik is correct in his transformation from vertex form to standard form.
Answers
Use a proportion to estimate each population. (Please solve both questions, thank you) (I’ll reward you with brainliest :)
20.
total counted: 102
tagged counted: 38
total tagged: 56
21.
total counted: 958
tagged counted: 210
total tagged: 305
Answers
Answer:
Step-by-step explanation:
Step 1. (The capture) Capture a sample total counted =958, and them back tagged counted=38,total tagged=56
The idea is to estimate the proportion p = m/N of tagged =102.
Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.
It is reasonable that, k/n would be a good estimante for p = m/N.
Accordingly, for an estimate N of N, se solve the equation m/N= k/n.
pls help and neatly show work !!
Answers
Answer:
see explanation
Step-by-step explanation:
The zeros of the graph are x = - 4 and x = 2 , then the factors are
(x + 4)(x - 2) and
y = a(x + 4)(x - 2) ← a is a multiplier
To find a use any other point on the graph and substitute into the equation
Using (0, - 8 ) , then
- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )
1 = a
y = (x + 4)(x - 2) = x² + 2x - 8
with b = 2 and c = - 8
The graph is increasing from the turning point ( vertex) to the right
vertex = (- 1, - 9 )
Increasing in the interval [- 1, ∞ )
Find the inverse of each of the given functions.
f(x) = 4x - 12
Answers
(x + 12) / 4
Explanation:
This was the way I was taught, hopefully it helps you.
y = 4x - 12
x = 4y - 12
x + 12 = 4y
(x + 12) / 4 = y
Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?
Answers
Answer:
i think its 18%
Find the exact value of each trigonometric function using the unit circle
Answers
Answer:
Step-by-step explanation:
use the co-terminal idea Scarlett, 990° = 270 °. You can see this just by looking at the picture.
Tan(270 ) = sin(270) / cos(270) = -sin(90) / cos(90) so now we know that Tan(270) is one of the non-existant angles b/c cos(90) = 0 and that would mean that we have some number over 0... and then the universe blows up.. like my calc II professor liked to say :| I think he was being a bit dramatic. :P anyway, you want answers not long boring stories.. :D so Tan(270) DNE ( does not exist )
If we were to look at a graph of Tan , we'd see that at 270° or 3[tex]\pi[/tex]/2 , Tan runs off to infinity. So there isn't a number to represent it. :/ I'm attaching a picture of the graph
notice in the graph, that when tan gets to 3/2, it's running off to infinity ??
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?
Answers
And 74 kids have freckles, so we have to find the % of those kids with freckles.
258–100%
74-?%
Let’s find 1% of the kids.
258/100=2.58
Now let’s find the % of 74 kids.
74/2.58=28.68%~28.7%
(The percent of the kids with freckles is 28.7%)
does the point ( 2, 1 ) satisfy the equation y = 2x?
Answers
Answer:
No.
Step-by-step explanation:
Y=2x goes up twice and to the right once, it passes through the origin, therefore it won't touch or go pass by point (2,1)
Using the graph, determine the coordinates of the vertex of the parabola
Answers
Answer:
The vertex is (3,1)
Step-by-step explanation:
Answer:
(3, 1)
Step-by-step explanation:
Locate the vertex. Here it represents the maximum value of this quadratic function. The x-coordinate shown is 3 and the y-coordinate is 1. Thus, the vertex is (3, 1).
The density of water is 1000 kilograms per cubic meter, and the density of ice is about 916 kilograms per cubic meter. If 575 kilograms of water and 275 kilograms of ice is combined in a container, about how much volume would the mixture take up?
A)5.0 m^3
B)2.3 m^3
C)0.9 m^3
D)0.4 m^3
Answers
Answer:
Step-by-step explanation:
Its c
The run is the__
change between two points on a line.
A. rising
B. horizontal
C. average
D. vertical
Answers
Answer:
Horizontal
Step-by-step explanation:
The mathematical definition of slope is very similar to our everyday one. In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.
. 3m = 16.8. what does m equal to?
Answers
Answer:
m = 56
Step-by-step explanation:
.3m = 16.8
3m = 168
m = 168/3
m = 56
Jackie weeded the neighbors' gardens all summer. The 6 neighbors paid:
$4.00 $6.00 $6.00 $5.00$ 8.00 7.00
What was the mean amount paid?
Answers
4+6+6+5+8+7=36
36/6=6
The answer is 6
Answer:
7.2
Step-by-step explanation:
(4+6+6+5+8+7)/6=
=7.2$
8. Does the equation show a proportional relationship?
y = x + 9
O Yes
O No
Answers
The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.
11 inches
15.6 inches
19.1 inches
22 inches
Answers
Answer:
b
Step-by-step explanation:
PLEASE HELP!!! I WILL GIVE 30 POINTS!
Write a verbal statement that represents the expression h ÷ 8.
My teacher told me to write out the words for the symbols and numbers.
Please help.
Answers
Answer:
If I have "h" amount of cookies and I have 8 friends with me, How much would each friend get?
Step-by-step explanation:
63, 70, 68, 73, 58, 67. What is the mean absolute deviation for these numbers?
Answers
Answer:
66.5
Step-by-step explanation:
Jay tossed two coins several times and then
recorded the results in the table below.
Coin Toss Results
Toss 1
H;H
Toss 2
H;T
Toss 3
T;T
Toss 4
T;T
Toss 5
T;H
What is the experimental probability that
the coins will land on different sides on his
next toss?
A.1/5
B.2/5
C.3/5
D.4:5
Answers
Answer: I'm pretty sure that the answer is a
Hope this helps :)
Step-by-step explanation:
PLS HELPP!! thank you
Answers
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
I have 0.0254 it and they say approximately to 2 decimal place will I include the 0 after the decimal point
Answers
Yes. You have to include 0.
If we round off this value to 2 decimal places then it is
0.03
Reason: after decimal point or before decimal point if you have to drop some digits and if the digit to be droped are 5 followed by non zero digit then previous digit is increased by 1.
Here, the digits to be droped are 5 and 4 after 0.02 so we increase 2 by 1 that is 3.
Determine the measure of x and the exterior angle.
X =
Exterior Angle =
3x + 25°
20°
X + 550
Answers
Answer:
x=65°
Step-by-step explanation:
Since all exterior angles add up to 360°.
⇒(3x+25°) + (20°) + (x+55°) =360°
⇒4x+100°=360° {Add up like terms}
⇒4x=260° {Subtract 100 from both sides}
∴ x=65° {Isolate x (divide both sides by 4)}
I hope this helped you with your math problem but more especially with understanding how to solve.
what is the image of the point (-1,-4) after rotation of 90 degrees counterclockwise
Answers
Answer:
(4,1)
Step-by-step explanation:
The mapping is (x, y)=(-y,- x)
(-1,-4)=(4,1)
The 90° counterclockwise is(4,1)
Mark the brainiest if correct
Can someone please help me with this math problem:):)
Answers
Answer:
i dont understand
Step-by-step explanation:
8. What is the surface area of the pyramid
shown below?
Answers
Answer:
Surface area of square pyramid = 380 m²
Step-by-step explanation:
Given:
Side of square base =10 m
Height of Square pyramid = 14 m
Find:
Surface area of square pyramid
Computation:
Surface area of square pyramid = Surface area of Base + 4[Surface area of triangle]
Surface area of square pyramid = [side x side] + 4[(1/2)(b)(h)]
Surface area of square pyramid = [10 x 10] + 4[(1/2)(10)(14)]
Surface area of square pyramid = 100 + 4[70]
Surface area of square pyramid = 100 + 280
Surface area of square pyramid = 380 m²
Help please please help help please help!!!!
Answers
Answer:
14Explanation:
8.13×10¹⁴
Step by step explanation the equation is 8.13*10^14
Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?
Answers
Answer:
4.5 cups flour
Step-by-step explanation:
6.5 - 2 = 4.5
6.5 - 2 =4.5
This is your answer
8.
Find the selling price of a $450 painting with a 45%
markup.
Answers
450+45%
What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substituted into the formula to find the volume. The radius is half the diameter. The formula to apply is V = four-thirds B h The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.
Answers
Answer: Its C and E on engenuity
Step-by-step explanation:
The radius is half the diameter.
The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.
Answer: C, E
Step-by-step explanation: Got it right on edge