Answers
Given:
The area of a rectangle is 99 square yd.
Length of the rectangle = 7 yd more than twice the width.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, length of the rectangle is:
[tex]Length=2x+7[/tex]
Area of a rectangle is:
[tex]A=length\times width[/tex]
[tex]A=(2x+7)\times x[/tex]
[tex]A=2x^2+7x[/tex]
The area of a rectangle is 99 square yd.
[tex]2x^2+7x=99[/tex]
[tex]2x^2+7x-99=0[/tex]
Splitting the middle term, we get
[tex]2x^2+18x-11x-99=0[/tex]
[tex]2x(x+9)-11(x-9)=0[/tex]
[tex](x+9)(2x-11)=0[/tex]
Using zero product property, we get
[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]
[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]
[tex]x=-9[/tex] and [tex]x=5.5[/tex]
Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.
Now, the length of the rectangle is:
[tex]Length=2x+7[/tex]
[tex]Length=2(5.5)+7[/tex]
[tex]Length=11+7[/tex]
[tex]Length=18[/tex]
Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.
Related Questions
What is the volume of the triangular prism
Answers
Step-by-step explanation:
Calculating volume
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Answer:
answer for your question is answer number a (384 cm^3)
If r is directly proportional to s and r 8 when s 3 find s when r 11
Answers
Answer:
s = 33/8 or 4 1/8
Step-by-step explanation:
find 'k', constant of proportionality first:
8 = 3k
k = 8/3
11 = 8/3s
s = 11/1 ÷ 8/3
s = 11/1 x 3/8
s = 33/8 or 4 1/8
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
Answers
Can somebody help me out my grade are bad
Answers
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively, what is the distance travelled by the ray?
Answers
Answer:10
Step-by-step explanation:24-6-8=10
The distance travelled by the ray will be 26 inches. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.
If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.
Then the distance travelled by the ray will be
We know the formula
D² = L² + W² + H²
We have
L = 24 in
W = 6 in
H = 8 in
Then the distance will be
D² = 24² + 6² + 8²
D² = 576 + 36 + 64
D² = 676
D = 26 in
Thus, the correct option is B.
More about the coordinate geometry link is given below.
brainly.com/question/1601567
#SPJ2
hii! i’ll give brainliest pls help
Answers
Answer:
flood
Step-by-step explanation:
Answer:
earthquake
Step-by-step explanation:
There is no sign of water on the house materials nor on the pavement so flood and tsunami are out. If a land slide came through, multiply houses would have been seen with this in the back ground which there aren't. So the best possibly choose in my opinion is earthquake.
How do you write 6.7 x 10^2 in standard form?
Answers
Answer:
6.7*10² is the standard form.
Step-by-step explanation:
Standard form is the simplest form.
Brainliest please?
XxRoadToAcexX
An object’s will remain constant throughout the universe, but its can change from planet to planet. If you increase the mass of a planet, what happens to its gravity? If the gravity on a planet decreases, what happens to the weight of an object on that planet?
Answers
Answer:
Step-by-step explanation:
it becomes lighter :P or maybe you could say "bouncier" :P
Answer:
It decreaases
Step-by-step explanation:
If the gravity of a planet decreases, there is less pull to the center of said planet, making the object weigh less.
Solve the equation for all values of x in simplest form:
(x + 1)^2 = 25
Answers
Answer:
x =4, x = -6
Step-by-step explanation:
1. Square root the whole equation on both sides
2. You get x+1 = ±5 as the answer.
3. Simplify that to get x = 4 and x = -6.
4. This equation is a quadratic equation, so you should get 2 answers.
Answer:
x=6,−4
Step-by-step explanation:
1.Take the square root of each side of the equation to set up the solution for x
2.Remove the perfect root factor x−1 under the radical to solve for x.
3. Simplify the right side of the equation.
4. The complete solution is the result of both the positive and negative portions of the solution.
5. You get your answer!
x=6,−4
PLEASE HELP
WILL GIVE BRAINLIEST
Answers
Answer:
1 1/3 or 4/3
Step-by-step explanation:
7 10/12 - 6 6/12 = 1 4/12
simplify.
1 1/3
Answer:
4/3 or 1 and 1/3
Step-by-step explanation:
First we need to make the fractions normal. We multiply 7 times 6 to get 42, then add 42 to 5 to get 47/6. Then we multiply 6 times 2 to get 12, then add 1 to that to get 13/2. Then we multiply both the 13 and the 2 by 3 to get 39/6. Then subtract 39 from 47, this gives us 8/6, we can then simplify this to get 4/3 or 1 and 1/3.
3. During geometry class, Mr. Jones constructed the perpendicular bisector of segment AB as
shown below.
If AC = 4x + 12 and BC = 2x + 18, find AB.
A. 3
B. 6
C. 24
D. 48
Answers
Answer:
D
Step-by-step explanation:
At Smith's Bike Rentals, it costs $33 to rent a bike for 9 hours.
How many dollars does it cost per hour of bike use?
Answers
Answer:
$3.66
Step-by-step explanation:
I divided 33 by 9
please help on a test!!!
Solve the system using inverse
matrices.
5x – 4y = 3
(2x + 3y = 38
Answers
Answer:(7, 8)
Step-by-step explanation:
There are 5,400 bricks on a pallet. There are 9 crates of bricks on each pallet. How many bricks are in each crate? Enter your answer in the box.
Answers
Answer:
600
Step-by-step explanation:
5400/9=600
Assuming you have the same amount of bricks in each crate there would be 600 bricks in each of the 9 crates. Hope this helps :)
An icicle is in the shape of an inverted cone with a diameter of 11 mm and a height of 90 mm. How much frozen water is in the icicle? Use 3.14 for Pi. Round the answer to the nearest tenth.
Answers
C - 2,849.6
Just took the test and got it right
Answer:
C - 2,849.6
I got a 100 on the test
could somebody help me with
Answers
Answer:
t + 0.8 =1.5
Step-by-step explanation:
Our objective is to get to 1.5. we know that part of the distance is 0.8 but we don't know the other half (t).
what is the scale factor of 4 and 6 reduced by 1/2?
Answers
Answer:
n
Step-by-step explanation:
The formula can be used to work outthe cost, in riyals, of hiring a helmet inQatar for a number of days.Kasun wants to hire a bicycle and a helmetfor the same number of days .
Answers
Answer:
The answer is below
Step-by-step explanation:
a) Cost of hiring the bicycle for 14 days is:
Cost = 65 * 14 days + 44 = 954 riyals
b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:
Cost of bicycle = 65 * x + 14 = 65x + 44
Cost of helmet = 12.5 * x = 12.5x
Total cost = 65x + 44 + 12.5x = 77.5x + 44
Since 750 riyals is available, hence:
750 = 77.5x + 44
77.5x = 706
x = 9.11
Therefore the maximum number of days is 11. The total cost for 11 days is:
Total cost = 77.5(9) + 44 = 741.5 riyals
Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals
is 12/7 and 36/21 proportional?
Answers
Jayden asked his classmates, "How many days do you exercise in a typical
week?" The dot plot shows Jayden's data.
Time Spent Exercising
Number of days
How many observations did he record?
O A. 3
O B. 11
C. 13
OD 8
Answers
Answer:
13
Step-by-step explanation:
There is 13 dots.
what is x? Options: 81, 57, 143, 66.
Answers
Answer:
x = 103
Step-by-step explanation:
In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).
Answer:103 degrees
Step-by-step explanation:
Straight line equals 180 degrees
180 degrees minus 77 degrees = 103 degrees
Will name the brainliest !
Answers
Answer:
c = 3477 feet (As rounded to the nearest whole number)
Step-by-step explanation:
We will use the Sin ratio for this problem since the opposite side of the Angle 15 is given and we have to find the triangle's hypotenuse;
Sin(15) = [tex]\frac{900}{c}[/tex]
=> Now isolate the variable c all to itself;
Sin(15) * c = 900
c = [tex]\frac{900}{Sin(15)}[/tex]
c = 3477.33 or 3477 feet
Hope this helps!
Adjust the number into correct standard form.
2206×10^9
Answers
Answer:
2.306
Step-by-step explanation:
u while times the number
Find the area inside the 26m square and outside the circle. Use 3.14 for π. A circle is fully inside a square with sides of length 26 meters, such that the circle touches the center of each side of the square.
Answers
Answer:
A(b) = 145,34 m²
Step-by-step explanation:
Area of the square of side l = 26 m A(s) = l² A(s) = (26)²
A(s) = 676 m²
Areaof the circle of radius r = 13 A(c) = π*(r)² A(c) = π*(13)²
A(c) = 169*π m²
Then the area outside the circle and inside the square A(b), is the difference between the area of the square minus the area of the circle, that is:
A(b) = A(s) - A(c) = 676 - 169*π m²
A(b) = 676 - 530,66 m²
A(b) = 145,34 m²
help me fast fast 10 and 11
Answers
Answer:
half, 50%
Step-by-step explanation:
ASAP Solve 1/9 (3/5) - 1/5 (7/3)=?
Answers
HELPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
Answers
Answer:
A. The area is [tex]78.54m^2[/tex]
B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool
Step-by-step explanation:
Question A:
Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.
Since we know this, we can easily find the area of the circle using [tex]\pi r^2[/tex]
Area of the circle = [tex]\pi \times 5 \times 5 = 78.54m^2[/tex]
Question B
Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.
We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.
The area of the circle can be calculated using [tex]\pi r^2[/tex]
Area of circle = [tex]\pi \times 23 \times 23 = 1661.9ft^2[/tex]
Please help if you can.
Show the steps if you do.
Answers
Answer:
1. 6.13
2. 0.57
Step-by-step explanation:
1. 7 x 4 = 28
28 / 8 = 3.5
3.5 x 7 = 24.5 / 4 = 6.13
s = 6.13
2. 2 x 3 = 6
6 / 7 = 0.85
0.85 x 2 = 1.71
1.71 / 3 = 0.57
s = 0.57
Sorry if I get most of them wrong
The average of 6 ages men is 35 years and the average of four of them is 32. Find the ages of the remaining two men if one is 3 years older than the other
Answers
Answer:
the first one must be 39.5 and the other 42.5
Step-by-step explanation:
multiply 35 by 6 and subtract 32 x 4 you are left with 82. Divide that by 2 and make the difference 3.
Solve the problem please
Answers
Answer:
3x + 2x + 4x =180
9x = 180
x = 20
4x 2x 3x
= 4 ×20 = 2× 20 = 3× 20
=80 = 40 = 60