Given:
Length of the rectangle = [tex]x^3y^4[/tex] inches
Width of the rectangle = [tex]xy^7[/tex] inches
To find:
The ratio of the length of the rectangle to width of the rectangle.
Solution:
We have,
Length = [tex]x^3y^4[/tex] inches
Width = [tex]xy^7[/tex] inches
So, the ratio of the length of the rectangle to width of the rectangle is
[tex]Ratio=\dfrac{Length}{width}[/tex]
[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]
[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]
Cancel out the common factors.
[tex]Ratio=\dfrac{x^2}{y^3}[/tex]
[tex]Ratio=x^2:y^3[/tex]
Therefore, the required ratio is [tex]x^2:y^3[/tex].
2. Determine whether quadrilateral EFGH can
be classified as a parallelogram.
Justify your reasoning.
Now consider quadrilateral EFGH shown
Answer:
3.4
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
there are two sets of parrallel lines.
Brainliest Answer
(has to be right for brainliest)
Answer:
it is 0.7x0.4=0.28
Step-by-step explanation:
Answer:
3627514
Step-by-step explanation:
List what you are thankful for! (It's Thanksgiving! Answer if you bake! Or if you like cakes pies cookies and treats!!! )
Answer:
I'm thankful for everything :3
I do not know how to bake but I love cookies UvU
Step-by-step explanation:
Answer:
My family!
Step-by-step explanation:
I am baking cheesecake
On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles
If 4 gal of the premium unleaded gasoline costs $16.24, how much would it cost to completely fill a tank whose capacity is 7 gal?
Answer:
$4.06 per gallon $4.06 x 7 = $28.42
Step-by-step explanation:
Ivy wants to see 20 birds on her hike. So far, she has seen 8. How many more birds does she need to see.
Answer:
12
Step-by-step explanation:
20-8=12
Change 10/25 to a decimal
Answer:
0.4
Step-by-step explanation:
→ Convert fraction to a denominator of 100
10 / 25 ⇔ 40 / 100
Answer:
0.4
Step-by-step explanation:
An easy way to do this is to get the fraction over 100
So, multiply the fraction by 4 (because 25*4=100)
then you get 40/100 which is 0.4 in decimal form
PLS I NEED HELPPP
(if u don’t mind pls explain ur answer)
How many pounds of chocolates that cost $7 per pound must be mixed with 3 pounds of caramels that cost $3.50 per pound to make a candy mix that
cost $5.25 per pound?
Answer:
You know somw things are changed i can't even answer that so please answer it yourself because hahhahaahahaahahhahahahha hello
Step-by-step explanation:
Because i dont know how to answer that ok?! Tell that to ur mom haha
Which number is divisible by 3?
A) 1,794
B) 1,912
C) 1,270
D) 473
Answer:
Step-by-step explanation:
should be A.
Answer This math question and ill give brainliest
Answer:
16 miles
Step-by-step explanation:
there are 8 units between the points each unit is 2 miles so 8*2= 16
-5x=-6
what is the value of x?
Answer: x=6/5
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
I will put brainliest
The bowling club at your school had a car wash last week.
They washed 72 cars in 6.5 hours.
About how many cars did they wash per hour?
Answer:
11.077 cars / 11 cars (nearest whole number)
Step-by-step explanation:
6.5 hours → 72 cars
1 hour → 72/6.5 cars = 11.077 cars (5 s.f.)
Help ASAP Find the measure of 2.
21
69
111
Answer:
69°
Step-by-step explanation:
m∠1 + 111° = 180° ⇒ m∠1 = 69°
m∠1 = m∠2 = 69°
answer choices are
A:45°
B:180°
C:61°
D:119°
Answer:
Option c: 61° is the correct answer
Step-by-step explanation:
By the diagram attached with the question, we can conclude that a transversal is interesting two parallel lines which results in formation of 8 angles.
Angle 3 and angle 5 are interior angles on same side of transversal.
When a transversal intersects two parallel lines, the interior angles on same side of transversal are supplementary angles i.e. their sum is 180°
So using this
m∠3+m∠5 = 180°
m∠3 + 119° = 180°
m∠3 = 180°-119°
m∠3 = 61°
Hence,
Option c: 61° is the correct answer
Find the missing measure and write your solution on the blank provided
Step-by-step explanation:
sum of internal angles of any triangle = 180 degrees
sum of an exterior angle and an interior angle = 180 degrees
8. Three gases found in Earth's atmosphere are carbon dioxide, nitrogen, and oxygen. What is their
order of abundance from greatest to least?
A. nitrogen, oxygen, carbon dioxide
B. nitrogen, carbon dioxide, oxygen
C. oxygen, nitrogen, carbon dioxide
D. carbon dioxide, oxygen, nitrogen
Answer:
carbon dioxide,oxygen,nitrogen
ONLY DO THE THE ONES THAT HAVE BLUE NEXT TO THEM!!!
Answer:
You need to have an attachment or question for us to help you. :3
Step-by-step explanation:
The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of the pond and the walkway, in square feet
Answer:
Area = 324 ft²
Step-by-step explanation:
Given
Length = 15ft
Walkway = 3ft
Required
Determine the area of the pond + the walkway
To calculate the required area, we need to get the total length of a side .
This is calculated by adding the length of a side of the pond and the side of the walkway
Total Length = Pond Length + Walkway
Total Length = 15ft + 3ft
Total Length = 18ft
Now, the required area can be calculated as thus:
Area = Total Length * Total Length
Area = 18ft * 18ft
Area = 324 ft²
Which expression is equivalent to (1 + cos(x))2Tangent (StartFraction x Over 2 EndFraction) )?
d
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
PLEASE HELP
A car dealer offers a 15% discount off the list price x for any car on the lot. At the same time, the manufacturer offers a $1500 rebate for each purchase of a car.
a. Write a function f(x) to represent the price after the discount is applied.
b. Write a function g(x) to represent the price after the rebate is applied.
Suppose the list price of a car is $19,000. Use a composite function to find the price
of the car:
C. if the discount is applied before the rebate;
D. if the rebate is applied before the discount
Answer:
A) f(x) = 0.85x
B) g(x) = x - 1500
C) g(f(x)) = $14650
D) f(g(x)) = $14875
Step-by-step explanation:
A) The list price is x and a 15% discount is applied.
Thus;
f(x) = x - 15%x
f(x) = 0.85x
B) We are told that the manufacturer offers a $1500 rebate for each purchase of a car.
Thus, the function g(x) to represent the price after the rebate is applied is;
g(x) = x - 1500
C)if the discount is applied before the rebate, the function is;
g(f(x))
Now,
f(x) = 0.85(19000)
f(x) = 16150
g(x) = x - 1500
Thus;
g(x) = 16150 - 1500
g(x) = $14650
D) If discount after rebate, then we have; f(g(x))
g(x) = 19000 - 1500
g(x) = 17500
f(g(x)) = 0.85(17500)
f(g(x)) = $14875
b. Multiply (3 x - 1) by (x + 1)
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
[tex] \rm \longrightarrow (3x - 1)(x + 1) \\ \\ \rm \longrightarrow 3x(x + 1) - 1(x + 1) \\ \\ \rm \longrightarrow (3x)(x) + (3x)(1) + ( - 1)(x) + ( - 1)(1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x + ( - x ) + ( - 1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x - x - 1 \\ \\ \rm \longrightarrow 3 {x}^{2} + 2x - 1[/tex]
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
got it right on edge
Math problem pls help I will give brainiest
Answer:
y=5
Step-by-step explanation:
125 +125+13y+9y=360
punch it into math-way.
250+22y=360
22y= 110
y=5
A car travels 20 miles in half an hour at constant speed is
I need help with this
helppppp please I will give brainliest
Answer:
y = -1/2x
Step-by-step explanation:
The slope is negative and 1/2, and y-intercept is 0
please help, the question says what statement best describes the placement of the lines Carson Drew
Answer:
Only line A is a well-placed line of best fit.
Step-by-step explanation:
I did this on Plato and got it correct.
Please help!!!
If h(x)= -3x-10, find h(-3)
Please give an explanation too. Thank you.
Answer:
h(-3)=-1
Step-by-step explanation:
Replace all x in h(x)= -3x-10 by -3:
h(-3)=-3(-3)-10
Now multiply -3 and -3:
h(-3)=9-10
Simplify 9 and -10 (aka add 9 and -10 together):
h(-3)=-1
Answer: h(-3)=-1
Hope this helps!
Answer:
-1
Step-by-step explanation:
If h(x)= -3x-10 and we want to solve for h(-3) then we have to plug in -3 for all x variables. h(-3)= -3(-3)-10, then solve using PEMDAS.
First multiple h(-3)= 9-10, multiple -3*-3 to get 9.
Then subtract, h(-3)=-1
An equilateral triangle and a regular hexagon have the same area. The ratio of the side length of the regular hexagon to the side length of the equilateral triangle can be written as m/√n. What is m+n?
Help me plz!
Answer:
7
Step-by-step explanation:
Let a and b be the sides of the equilateral triangle and the regular hexagon respectively as shown in figures (1) and (2).
The area of the equilateral having side a is
[tex]A_T= \frac {\sqrt3}{2}a^2\cdots(i)[/tex]
Now, join all the 6 corner points of the regular hexagon to the center of the hexagon as shown in figure (3).
As there are 6 equal sides, so angle subtended by each side at the center is 360/6=60 degrees.
Considering the triangle POR:
[tex]\angle POR= 60[/tex] degree [angle at center]
As sides PO=RO, so [tex]\angle OPR = \angle ORP = 60[/tex] degree.
Hence, triangle POR is an equilateral triangle.
Similarly, all the remaining 5 triangles are equilateral triangles.
So, the area of hexagon = 6 x Area of triangle POR
As the length of sides of the triangle POR is b,
so the area of the triangle POR [tex]= \frac {\sqrt3}{2}b^2[/tex].
Hence, the area of the regular hexagon,
[tex]A_H = 6 \times \frac {\sqrt3}{2}b^2\cdots(ii)[/tex]
As the equilateral triangle and a regular hexagon have the same area, so from the equations (i)and (ii), we have
[tex]A_T=A_H\\\\\frac {\sqrt3}{2}a^2=6 \times \frac {\sqrt3}{2}b^2\\\\\Rightarrow a^2=6b^2\\\\\Rightarrow \frac {b^2}{a^2}=\frac 1 6\\\\\Rightarrow \frac {b}{a}=\frac {1}{\sqrt 6}\cdots(iii)[/tex]
Given that the ratio of the side length of the regular hexagon to the side length of the equilateral triangle, b/a= m/√n.
On comparing with the equation (iii), we have
m=1 and n=6
Hence, m+n=1+6=7.
I need an answer quick. I am trying to finish this fast.
Answer:
D, m<4 is 137°
Step-by-step explanation:
The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.
x + 43 = 180
x would represent <4
You would now subtract 43 from both sides.
x = 137
Answer:
D. The m<4 is 137°
Step-by-step explanation:
The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°