The question is incomplete. Here is the complete question.
The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?
Answer: width = [tex]4x^{2}[/tex]
length = [tex]2x^{3}+3x+5[/tex]
Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.
To find the greatest common factor:
1) Write each in prime factored form:
2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x
2) Identify the common factor among the terms:
For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]
Therefore, the width of the rectangle is:
w = [tex]4x^{2}[/tex]
Area of a rectangle is the multiplication of width and length, so:
[tex]A=w*l\\l=\frac{A}{w}[/tex]
To calculate length, we will have to divide polynomials:
[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]
[tex]l = 2x^{3}+3x+5[/tex]
Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.
Suppose there is a 1.2 farenhight drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 45.8 farenhight , what will be the temperature when the plane reaches an altitude of 6,000 ft ?
Answer:
38.6Fahrenheit
Step-by-step explanation:
Given that the plane reaches 6,000 ft
And for every 1000 ft there is a drop of 1.2 Fahrenheit
Therefore there is a total drop of (6*1.2)
Note There are six one thousand in six thousand
6*1.2=7.2Fahrenheit
Also the temperature on the ground is
45.8 Fahrenheit
The temperature when the plane reaches 6,000 ft will be
45.8-7.2=38.6Fahrenheit
In a triangle, the measure of the middle angle
is triple the measure of the smallest angle, and
the measure of the largest angle is 55° greater
than the measure of the smallest angle. Find
the measures of the
angles.
Let the smallest angle in a triangle be = x
Largest angle in a triangle = 55 + x
The middle angle in a triangle = 3x ( triple the measure of the smallest angle )
Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )
This can be written as :
= x + 55 + × + 3x = 180
Let us find each angle by solving the equation .
= x + 55 + x + 3x = 180°
= x + x + 3x + 55 = 180°
= 5x + 55 = 180°
= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )
= 5x = 125
= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 25
Using this let us find the measure of each angle .
Smallest angle = x = 25
Smallest angle = 25°
Middle angle = 3x = 3 × 25 = 75
Middle angle = 75°
The largest angle = x + 55 = 25 + 55 = 80
Largest angle = 80°
Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .
We have that the measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
From the question we are told that:
The measure of the middle angle is triple the measure of the smallest angle
The measure of the largest angle is 55° greater than the measure of the smallest angle
Let
[tex]\theta_1=Largest\ angle[/tex]
[tex]\theta_2=Middle\ angle[/tex]
[tex]\theta_3=Smallest\ angle[/tex]
Therefore
[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]
Generally, the equation for the angle of a triangle is mathematically given by
[tex]\theta_1+\theta_2+\theta_3=180[/tex]
Therefore
[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]
[tex]\theta_3=25 \textdegree[/tex]
Therefore
Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]
For [tex]\theta_1[/tex]
[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]
For [tex]\theta_2[/tex]
[tex]\theta_2=3*\theta_3[/tex]
[tex]\theta_2=3*25 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
in conclusion
The measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
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It took a sports store 9 weeks to sell 90 soccer
balls. How many are sold per week?
Answer:
it would be 10 soccer balls
Step-by-step explanation:
10 every week if it was constant (because they could've sold more one week then less the next) but the genuine answer is 10 soccer balls :)
name the sets of numbers to which 7/9 belongs
Answer:
OK.
the sets are
natural numbers (or counting numbers), this is like 1,2,3,4,5 etc
whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc
integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc
rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here
-7/9 goes in the rational set
Write the product as a power.
5 X 5 X 5 X 5 =
Answer:
4 that is the answer...........
5
help me plz my grade a f
Answer:
100%
Step-by-step explanation:
The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2
Answer:
1.3 kg/cm
Step-by-step explanation:
Barry and Michael lifted and moved a television that weighed 45 pounds. About how much did the television weigh in kilograms? (1 pound ≈ 0.454 kilograms)
Answer:
I NEED HELP WITH THIS TWO
Step-by-step explanation:
? i need help two
Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.
Can you post one with a picture of the input/output tables? I don't see any.
Tell me a cool, fun fact, best fact gets. Brainliest
Answer:
The moon has moonquakes.
Step-by-step explanation:
The heads on Easter Island have bodies.
6 = m - 16
a) m = 20
b) m = 24
c) m = 22
d) m = 21
Answer:
c
Step-by-step explanation:
0.000 000 000 000 000 000 000 000 001 672 622 kg.
The mass of a proton is
In scientific notation it is
Answer:
1.672 x 10 27
Step-by-step explanation:
Express as a trinomial.
(x−5)(x−2)
Answer:
x^2 - 7 x + 10
Step-by-step explanation:
use the foil method to multiply the terms.
Also - you can just plug these types of equations into WolframAlpha...
in this case you are looking for "expanded form"
0.39/0.75 as a decimal
Answer:
0.52
Step-by-step explanation:
Divide.
Answer:
0.3333333333333333333333 it non terminating
2 5. 8 11 X 2 -4 8 у 14 What is the equation of the given table?
Answer:
8-6+-2
Step-by-step explanation:
Find the value of each variable.
A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $34.98. Nate bought several hats, and the
total cost was $262.35.
How many hats did she buy
Answer:
15 hats
Step-by-step explanation:
First off, we need to divide 34.98 by 2 because it is 50 percent off.
We get 17.49 dollars.
262.35/ 17.49 because we need to find out how many hats Nate bought.
We get 15 hats
What is the rate of change from 2
gallons to 4 gallons? Pls I need help!!
Answer:
2 gallons
Step-by-step explanation:
Given that 1 pound equals 16 ounces, how many pounds are in 116 ounce -) A) 6.75 pounds B) 7.25 pounds 7.5 pounds D) 7.75 pounds
Answer:
B)7.25
Step-by-step explanation:
16x7.25=116
Which analogy best represents the relationship between jobs and careers? "a muffin or a cookie," and a job is like "baked goods." "tools," and a job is like "a hammer or a screwdriver." "a building block," and a job is like "a castle or a tower." "a speedboat or a powerboat," and a job is like "a sailboat."
Correct options read:
A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”
B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”
C) A career is like “a building block,” and a job is like “a castle or a tower.”
D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”
Answer:
B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”
Explanation:
Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.
Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").
Answer:
B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”
Step-by-step explanation:
help ASAP please will give BRAINLIEST
A car goes from 16 m/s to 2 m/s in 3.5 s. What is the car’s acceleration? SHOW WORK
Answer:
acceleration = -4m/s^2
Step-by-step explanation:
Aceleration = (Final speed - Initial speed)/time
In this case, acceletarion = (2 - 16)/3.5 = -14/3.5 = -4
acceleration = -4m/s^2
Difficult one for me: Geometry!
Answer:
what is your question here??
1 pts
Question 2
Karen rented a moving truck to move all of the items in her home. The rental
company charged $42 a day plus $0.13 per mile in gas. If Karen rented the truck for 2
days and he total bill was $124.95, how many miles did she travel?
miles
Answer: 315 miles
Step-by-step explanation:
42x2=84
124.95
-84.00
_______
40.95
40.95 ➗ 0.13 = 315 miles
Solve for f 7a - 3d + 6f = 5
Answer:
f = 5/6 - 7a/6 + d/2
Step-by-step explanation:
When the full season tickets first went on sale,2,000 Full season tickets sold for Section N. Two weeks after the tickets first went on sale, another 1,500 full season tickets were sold for section N. How much money spent on full season tickets for section N in total? How much more money was spent when the tickets first went on sale than after the first two weeks.
Image showing the arena ticket prices is missing, so i have attached it.
Answer:
$10000 more money was spent when the tickets first went on sale than after the first 2 weeks
Step-by-step explanation:
We are told that when the full season tickets first went on sale, that 2000 full season tickets were sold for section N.
Now, from the area ticket prices table attached, we can see that full season tickets for Section N costs $20
Thus, amount of money spent when the tickets first went on sale = 2000 × 20 = $40000
We are told that 2 weeks after the tickets first went on sale, they sold 1500 tickets. Thus, amount spent after 2 weeks release = 1500 × 20 = $30000
Difference in amount spent at the beginning and after 2 weeks = $40000 - $30000 = $10000
Thus, $10000 more money was spent when the tickets first went on sale than after the first 2 weeks
Someone helppppppppppppp
Answer:
10 and 11
Step-by-step explanation:
10 and 11.
These are the closest whole numbers, because the square root of 100 is 10, and the square root of 121 is 11.
If this helped, please rate and give THANKS!
Misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip
remaining. Use the graph below to the answer
450
MILES REMAINING
50
HOURS TRAVELED
Write an equation of the graph in slope-intercept form.
A) y=-100/3x+450
B) y=100/3x-450
C) y=450x+100/3
Given:
Consider the below figure attached with this question.
To find:
The equation of the graph in slope-intercept form.
Solution:
From the graph it is clear that, the line passes through (0,450) and (3,350).
So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-450=\dfrac{350-450}{3-0}(x-0)[/tex]
[tex]y-450=\dfrac{-100}{3}x[/tex]
Add 450 on both sides.
[tex]y=-\dfrac{100}{3}x+450[/tex]
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
donno
An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches. Find the width of the photograph.
Answer:
just subtract i think and you will get
Step-by-step explanation:
13.6 - 12 = 1.6
The width of the photograph will be 6.4 inches.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as,
H² = P² + B²
An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches.
Then the width of the photograph is calculated as,
13.6² = 12² + w²
184.96 = 144 + w²
w² = 40.96
w = 6.4 inches
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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“six more than three times x is less than 12
Answer:
6+3x<12
do u need x or just this
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Solving each proportions 10/8=n/10
Answer:
n=12.5
Step-by-step explanation:
10/8=n/10
multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5