If you have 14 feet of fencing, what are the areas of the different rectangles you could enclose with the fencing? Consider only whole number dimensions
Answer:
Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²
Step-by-step explanation:
Feets of fencing = 14
Perimeter = 14
Let x = Length y = width
Perimeter = 2(x + y)
For x = 1
2(1 + y) = 14
1 + y = 7
y =6
Area of rectangle ; x *y = 1 * 6 = 6 ft²
For x = 2
2(2 + y) = 14
2 + y = 7
y = 5
Area of rectangle ; x *y = 2 * 5 = 10 ft²
For x = 3
2(3 + y) = 14
3 + y = 7
y =4
Area of rectangle ; x *y = 3 * 4 = 12 ft²
For x = 4
2(1 + y) = 14
4 + y = 7
y = 3
Area of rectangle ; x *y = 4 * 3 =12 ft²
Hence, Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²
whats the area of the shaded region
Answer:
36 meter square
Please mark my answer as brainliest for further answers:)
Mary has $15.63 left in her wallet after spending $8.01 on snacks. How much did she have in her wallet before she bought the snacks? (Do not put the $ sign in your answer. Just type the amount without the $ sign.
Question 1 of 20 Multiply. (4x - 5)^2
A. 16x2 - 25
B. 16x2 - 40x + 25
C. 16x2 + 20x + 25
D. 16x2 + 40x+ 25
Answer:
B) 16x² - 40x + 25
Step-by-step explanation:
1) Use square differences: (a - b)² = a² - 2ab + b².
[tex](4x)^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.
[tex] {4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
3) Simplify 4² to 16.
[tex]16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]
4) Simplify 5² to 25.
[tex]16 {x}^{2} - 2 \times 4x \times 5 + 25[/tex]
5) Simplify 2 × 4x × 5 to 40x.
[tex] {16x}^{2} - 40x + 25[/tex]
Thus, the Anwer is Option B) 16x² - 40x + 25 .
Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.
Please help!
Answer:
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Step-by-step explanation:
The system of equation in matrix form is defined by following vector formula:
[tex]\vec A \cdot \vec x = \vec b[/tex] (1)
Where:
[tex]\vec A[/tex] - Matrix of coefficients.
[tex]\vec x[/tex] - Column vector of variables.
[tex]\vec b[/tex] - Column vector of results.
If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:
[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Then,
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Meeta buys a ticket for the movie and a popcorn, which costs $6. She spends $16.50 in all. How much was the movie ticket?
Answer:
10.50
Step-by-step explanation:
16.50-6
Find equations of two lines that cross at the point (2,7) & explain how you got the answer
Am I right please tell me I really NEED IT
Answer:
it would 13
Step-by-step explanation:
19-6=13 there you go
Please Help Me!!! What is 81y + 54
Answer:
2
Step-by-step explanation:
y
HELP HELP ASAP ASAP WILL MARK BRAINLIEST
ANSWER BOTH PLEASE EASY POINTS
Answer:
1.) Hypotenuse.
The hypotenuse is the longer side.
2.)Leg
Answer:
1.) Hypotenuse
2.) Leg
Step-by-step explanation:
The legs or bases of a triangle are the sides connected to the right angle.
The hypotenuse is the side across from the right angle and is always the longest side.
Suppose your parents invest $25,000 in an account paying 7% compounded annually. What will be the balance after 8 years?
An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)
Answer:
2268
Step-by-step explanation:
Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet long. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
A. 3900
B. 5850
C. 1560
D. 11700
Answer:
[tex]11700[/tex]
Step-by-step explanation:
The formula of a octagon is Area of octagon = 8(1/2 × b × h), which is 520ft.
520ft² × 3ft=1560
1 cubic ft takes 7.5 gallons to fill,
11700
the rectangle below has a perimeter of 120 in right an equation to solve for x and then calculate the length and width of the rectangle.
Answer:
I did what I can
Hope this helps :)
Pete pumps water into an empty pool. After 8 minutes, there are 40 gallons o water in the pool. Use the coordinate plane provided to plot two points that can be used to represent the relationship between time, x, and the total amount of water, y, in the pool. Select the places on the coordinate plane to plot the points
Answer:
(2,10) (4,20) (6,30) (8, 40)
Step-by-step explanation:
every minute, the pool fills up with 5 gallons.
if you look at the points, you will see a pattern
Can someone help me please
Answer:
It's 28
Step-by-step explanation
up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49
Answer: (x+3)^2+(y-4)^2=49
The answer is b :)
Step-by-step explanation:
complete the tables of values
Answer:
a=0
b=-8
c=-16
d=0
e=-3
f=-6
Step-by-step explanation:
How many centimeters are equal to 9 meters?
Answer:
The correct answer is 900 centimeters.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
Hey there!
Just simply multiply your given number by 100 and you will have your answer to the given equation
9 * 100 = 900
Answer: 900
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
7.73 , 5.4332 , 7.7 , 7.703 from least to greatest
Answer:
5.4332, 7.7, 7.03, and then 7.73
Answer: 5.4332, 7.7, 7.703, 7.73
Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?
Write your answer as a fraction or as a whole or mixed number.
Perimeter refers to the distance around 2-D figure and calculate perimeter, add the side lengths of the figure
True or false
Answer:
True
Step-by-step explanation:
The perimeter is the combined length of all the side lengths of a figure.
You and your friend are standing back-to-back. Your friend runs 14 feet forward and then 7 feet right. At the same time, you run 10 feet forward and then 11 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answer:
30.52 feet.
Step-by-step explanation:
Do you know this??
I’m confused
Answer:
1: B
2: A
3: D
4: C
Step-by-step explanation:
In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.
Example 1:
3/4 ÷ 1/2
3/4 x 2/1
= 3/2
= 1 1/2
Example 2:
1 1/2 ÷ 1/2
3/2 ÷ 1/2
3/2 x 2/1
= 6/2
= 3
Simplify the expression below.
4x+ 3(2x−1) − 4x
Answer:
=6x−3
Step-by-step explanation:
Let's simplify step-by-step
4x+3(2x−1)−4x
Distribute:
=4x+(3)(2x)+(3)(−1)+−4x
=4x+6x+−3+−4x
Combine Like Terms:
=4x+6x+−3+−4x
=(4x+6x+−4x)+(−3)
=6x+−3
Answer:
6x - 3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
Distribute, multiply every term inside the parenthesis by the term outside of it,
4x + (3)(2x) + (3)(-1) - 4x
Simplify,
4x + 6x - 3 - 4x
Simplify further, combine like terms,
6x - 3
In the standard equation of a circle (x – h)2 + (y – k)2 = r2, h and k are...
Answer:
see explanation
Step-by-step explanation:
The standard form of the equation of a circle is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Please help me with this math problem
In QRS the measure of S=90, the measure of Q=29 and SQ=5 feet. find the length of QR to the nearest tenth.r
Answer:
QR ≈ 5.7 ft
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR
QR × cos29° = 5 ( divide both sides by cos29° )
QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )
A gift box has the shape of a cube. The box is 75 cm tall.
What is the volume of the box?
A.225 cm³
B.5625 cm³
C.33,750 cm³
D.421,875 cm³
plz explain how you got it-
!!PLEASE ANSWER QUICK
use the two way table to answer the question.
what percentage of students are studying spanish?