Answer:
The width and length of the rectangle are [tex]22[/tex] and [tex]16+x[/tex], for [tex]x > -16[/tex], respectively.
Step-by-step explanation:
From Geometry, we remember that area of the rectangle ([tex]A[/tex]) is defined by:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width.
[tex]l[/tex] - Length.
In addition, we know that area is described by a first-order polynomial:
[tex]A = 352+22\cdot x[/tex] (2)
Meaning that is the product of another first-order polynomial and a constant. That is:
[tex]A = a\cdot (b+c\cdot x)[/tex] (3)
Now we determine the Great Common Divisor of 352 and 22:
[tex]352 = 2\times 2\times 2 \times 2 \times 2 \times 11[/tex]
[tex]22 = 2\times 11[/tex]
The Great Common Divisor is 22.
Then, the area of the rectangle can be expressed by this expression:
[tex]A = 22\cdot (16+x)[/tex] (3b)
According to this, the width and length of the rectangle are [tex]22[/tex] and [tex]16+x[/tex], for [tex]x > -16[/tex], respectively.
A code consists of eight letters chosen from the 26 letters of the alphabet. What is the chance that any two of the letters are the same?
Answer:
1/26 or 0.039 (approximate to 3 decimal places)
Step-by-step explanation:
A code consists of 8 letters of the English alphabet (which comprises a total of 26 distinct letters). What is the chance or probability that any 2 letters of/in the code are the same?
An example of such code with a repeated letter is GREENMAN.
This word (code) has 2 letters that are the same and that's letter 'E'.
The probability that a letter in the code in question will appear twice depends on the frequency of appearance of that letter in the English alphabet set.
Now, no letter in the English alphabet set appears twice! Because of this, every letter in the English alphabet has an equal probability of being picked to form a code or word.
Hence, the chance that any letter from the alphabet will be repeated once in this code (same as saying the chance that any two letters of the code are the same) is 1/26 and that's equal to 0.03846 ≅ 0.039
Classify ABC by its sides. Then determine whether it is a right triangle.
A(3, 3), B (6, 9), C (
6,-3)
Answer:
∴Given Δ ABC is not a right-angle triangle
a= AB = √45 = 3√5
b = BC = 12
c = AC = √45 = 3√5
Step-by-step explanation:
Given vertices are A(3,3) and B(6,9)
[tex]AB = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]
AB = [tex]\sqrt{(9-3)^{2}+(6-3)^{2} } = \sqrt{6^{2}+3^{2} } =\sqrt{45}[/tex]
Given vertices are B(6,9) and C( 6,-3)
[tex]B C = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]
= [tex]\sqrt{(-3-9)^{2}+(6-6)^{2} } =\sqrt{12^{2} } = 12[/tex]
BC = 12
Given vertices are A(3,3) and C( 6,-3)
[tex]AC = \sqrt{(6-3)^{2}+(-3-3)^{2} } = \sqrt{9+36} = \sqrt{45}[/tex]
AC² = AB²+BC²
45 = 45+144
45 ≠ 189
∴Given Δ ABC is not a right angle triangle
Please help..........
Can someone Help please? :)
the answer is 24i-7 she forgot to multiply 3 and 4 two times to distribute
A cell phone company recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June’s sales. If y represents July’s sales, which equation can be used to determine the sales in July?
Answer:y = n - 0.26n
Step-by-step explanation:hope this helps
Which expression is equivalent to
(2x + 1)?
Answer:
A
Step-by-step explanation:
What percentage of a dollar do you have if you have 1 quarter, 1 dime, 1 nickel, and 1 penny?
Does the point(1, 8)satisfy the inequality y ≥ 7x + 1?
Answer:
Yes
Step-by-step explanation:
Plug in the point (1,8)
y=8, x=1
8≤7(1)+1
8≤7+1
8≤8
Answer:
Yes.
Step-by-step explanation:
y ≥ 7x + 1.
Plug the values in:
y = 8
7x + 1 = 7(1) + 1 = 8
As the inequality sign is ≥ then the point (1, 8) satisfies it.
help help help help help help help
Answer:
Damian bought enough juice. He will have 1 extra pint.
Step-by-step explanation:
1 quart = 2 pints
He needs to have 5 pints of juice.
So he will have 3 quarts (which is 6 pints).
A flower bed is 3 meters wide and 6 meters long. What is the area of the flower bed in square feet? Round intermediate calculations and your answer to the nearest hundredth.
Answer:
193.75 square feet or 193.75 ft²
Step-by-step explanation:
A flower bed is 3 meters wide and 6 meters long.
From the question , our final answer is to be in square feet.
Hence:
Step 1
We convert dimensions to feet
For width
= 3 meter
1 meter = 3.28084 feet
3 meter = x
x = 3 × 3.28084 feet
x = 9.84252 feet
For Length
= 6 meter
1 meter = 3.28084 feet
6 meter = x
x = 6 × 3.28084 feet
x = 19.685 feet
Step 2
We calculate the area of the flower bed
The formula is given as:
Length × Breadth
Hence: 9.84252 feet × 19.685 feet
= 193.7500062 square feet
Approximately to the nearest hundredth = 193.75 square feet or 193.75 ft²
The area of the flower bed in square feet is 193.75 square feet or 193.75 ft²
25.622 x 100=
(You will have to move the decimal point here)
Answer:
[tex] \boxed{25.622 \times 100 = 2562.2}[/tex]
2562.2 is the right answer.(move the decimal point 2 units towards the right)
please help me im confused
Is this a function ?
Answer:
yes
Step-by-step explanation:yes
how do you convert complex numbers to polar form
Answer:
Step-by-step explanation:
Let r and θ be polar coordinates of the point P (x, y) that corresponds to a non-zero complex number z = x + iy. The polar form or trigonometric form of a complex number P is z = r (cos θ + i sin θ)
What is the slope and y-intercept of 5x+2y=-10
Answer:
slope = - 5/2
y-intercept = (0,-5)
Step-by-step explanation:
Х
Find the slope of the line that contains the following pair of points: (1, 2), (5, 2).
A. -1
0
B. 0
C. 4
D. Undefined
Answer:
B. 0
Step-by-step explanation:
2-2/5-2= 0/3= 0
Another way to look at this is that because they have the same y coordinate, it must simply be a horizontal line, which has a slope of 0
PLEASE ANSWER QUICKLY
Solve for w: 2w/5 - 9 = 11
Answer:
w= 50
Step-by-step explanation:
Answer: x = 50
Step-by-step explanation: 2w/5 - 9 = 11
+9 +9
20
2w/5 = 20
*5 *5
100
2w = 100
2 2 = 50 so x = 50
Find the area of each figure. around to the nearest tenth if necessary.
Answer:
68 cm²
Step-by-step explanation:
I don't see what you mean for each figure but here goes nothing!
We can split the figure in 2 rectangles
We find the first rectangle by doing 4 x 12 = 48 cm²
The second rectangle would be 5 x 4 = 20 cm²
Therfore we add them up into 20 + 48 = 68 cm²
Hope This Helps!
Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Step-by-step explanation:
Bus A leave depot at = 3pm
Bus B leave depot at = 3 pm
both leave depot at 3 pm so
Bus A complete its route in25 mins
Bus A reach at his point at 3:25 pm
Bus B complete its route in 30 mins
Bus B reach at his point at 3:30 pm
So
If the buses go back to depot it will take 25 mins so Bus A reach back at depot at 3:50 pm
Bus B at 4:00 pm
can someone simplify 6t+10t–9t
Answer:
6t + 10t - 9t
(6 + 10 - 9 ) t
7t
Step-by-step explanation:
Answer:
7t
Step-by-step explanation:
3/16 divided by 2 1/4
What is 3/4 divided by 1/8? Show/explain your reasoning. (I need this answer ASAP please.)
Answer:
3/4 divided by 1/8 Is 6
Step-by-step explanation:
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent. %
Answer:
27%
Step-by-step explanation:
6/22 is 0.27. when you divide 6 by 22 you get the decimal.
Answer:
27%
Step-by-step explanation:
Which digit in 987,654,321,000 is in the billions place
Answer: 7
Step-by-step explanation: Which digit shows the number of billion in 987,654,321,000? Moving from right to left, the pattern of ones, tens, hundreds continues through the thousands, millions, and billions. The digit in the hundred-billions place is 7.
If that can help ya, then I'm grateful it did! -Furreto
Answer:
The answer is 7
Using the quadratic form, which letter is key in finding the axis of symmetry?
a. x
c. c
b. b
d. y
Answer:
y=ax²+bx+c
c is axis of symmetry I believe
Answer:
b
Step-by-step explanation:
on edge2021
I WILL GIVE BRAINLIEST IF CORRECT (and 10 points)
The Second Seminole War began when _____________called upon the Seminole to resist removal by force.
a.
Choctaw
b.
Cherokee
c.
Osceola.
d.
Geronimo
Please select the best answer from the choices provided
Answer:
b
Step-by-step explanation:
The surface area of a rectangular prism is 178 in.2
What is the height of the figure if its length is 3 in. and its width is
4 in.? Explain how you got your answer.
Answer:
The height of the figure is 12 in
Step-by-step explanation:
A rectangle has length 62 mm and width 47mm, both correct to the nearest millimetre.
The area of this rectangle is Amm?.
Complete the statement about the value of A.
Answer:
2,914 mm^2
Step-by-step explanation:
The computation of the area of the rectangle is as follows
= Length × width
= 62mm × 47mm
=2,914 mm^2
We simply multiplied the length of the rectangle with its width so that the area of the rectangle could be determined
Garrett ran 21 1/2 miles last week. He ran
17 7/8 miles this week. How many miles did
he run in all?
Answer:
39 3/8
Step-by-step explanation:
