Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.
The area of the figure decreases when the dimension is decreased
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the figure be represented as ABCD
where ABCD is a rectangle
Now , the measures of the sides of the rectangle be
The length of the rectangle = L
The width of the rectangle = W
And , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle = LW
when the dimension of one of the unit is decreased , we get
when L = L/2
Area of rectangle = ( LW) / 2
So , the area of the figure is decreased bu ( 1/2 )
Hence , the area of the figure decreases
To learn more about area of rectangle click :
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The elevation of New Orleans, Louisiana, is -6 feet. Which of the following best describes -6 feet? A. 6 feet below sea level B. 3 feet below sea level C. 3 feet above sea level D. 6 feet above sea level
Answer:
Hey there!
-6 ft is 6 ft below sea level.
Hope this helps :)
even better morning yall
Answer:
48 cups
Step-by-step explanation:
4 gallons = 64 cups
1 gallon = 64 ÷ 4
1 gallon = 16 cups
3 gallons = 16 * 3 = 48 cups
Answer:
48 cups are in 3 gallons
Step-by-step explanation:
In the picture, it says that there are 64 cups in 4 gallons.
If we divide [tex]\frac{64}{4}[/tex], (to find out how many cups are in 1 gallon) we get 16 cups.
And 16 x 3 equals 48 cups.
Hope dis helps you
What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?
Answer:
62.5°
Hope this helps :)
Please help i will mark brainliest for correct answers!
Answer:
7. 1/3 8. 3/8
Step-by-step explanation:
7. 5 - 1/6 chance 1 out of 6 possibilities
6 - 1/6 chance 1 out of 6 possibilities
1/6+1/6 = 1/3
8. 3 a's out of 8 letters. 3/8
Answer:
7. 2/3
8. 3/8
Step-by-step explanation:
5 - 1/6
1/6
6 - 1/6
1/6
1/6+1/6 = 2/6 = 1/3
3 out of 8
3/8
Please help me fast!
Answer:
39.5
Step-by-step explanation:
Let's figure out the equations of l and m first.
For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.
We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:
m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3
The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.
For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:
m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7
The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.
Taking the two equations, let's set 15 equal to y and solve for x:
y = (-5/3)x + 5 ⇒ 15 = (-5/3)x + 5 ⇒ 10 = (-5/3)x ⇒ x = -6
y = (-2/7)x + 2 ⇒ 15 = (-2/7)x + 2 ⇒ 13 = (-2/7)x ⇒ x = -91/2
Let's find the difference:
-6 - (-91/2) = 39.5
The answer is thus 39.5.
~ an aesthetics lover
PLEASE HELP!!!
Which graph represents the solutions to the inequality |2x - 6| < 10? (5 points)
Answer:
3
Step-by-step explanation:
To do this you would take absolute value so you get [tex]2x+6\leq 10[/tex] then you would subtract 6 from both sides so you get [tex]2x\leq 10[/tex] then you would divide 2 from both sides so you would get [tex]x\leq 2[/tex] so graph 3 would be the write answer
How can someone tell me the perimeter of this please
Answer:
[tex]\boxed{\sf \ \ 36 \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to sum all sides, we know all of them except two sides that we can guess as this is
for the horizontal one 11 - 2 - 2 - 2 = 11 - 6 = 5
for the vertical one 5 - 3 = 2
so in total it comes
11 + 5 + 2 + 2 + 2 + 2 + 2 + 2 + 5 + 3 =16 + 12 + 8 = 16 + 20 = 36
hope this helps
The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 1, -2, 4, -8, ...? an = 1 · (-2)n - 1 an = -2 · 1n - 1 an = -8 · (-2)n - 1 an = 1 · 2n - 1
Answer:
[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_n=a_1r^{n-1}[/tex]
We have the geometric sequence: 1, -2, 4, -8, ...
Find the common ratio:
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]
[tex]a_1=1,\ a_2=-2[/tex]
substitute:
[tex]r=\dfrac{-2}{1}=-2[/tex]
Substitute
[tex]a_1=1;\ r=-1[/tex]
to
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_n=1\cdot(-2)^{n-1}[/tex]
Answer:
[tex]a_{n}=1 (-2)^{n-1}[/tex]
Step-by-step explanation:
Hi there!
Let's do it,
1)[tex]1,-2,4,-8[/tex]
First let's find the q, the common ratio by dividing the second term by the anterior one.
-2:1 =-2
4:-2=-2
So the common ratio is -2. Plugging in on the General formula:
[tex]a_{n}=a_{1}q^{n-1}[/tex]
[tex]a_{n}=1 (-2)^{n-1}[/tex]
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are different, but the y-intercepts are the same. How
many solutions would you expect for this system of equations?
Ο Α. Ο
OB. 1
C. cannot be determined
OD.
D. infinitely many
Answer:
ob:1
Step-by-step explanation:
ob:1
HELP HURRYYYY If you spin the spinner below 150 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 60 times B) Lands on red 120 times C) Lands on yellow 90 times D) Lands on yellow 44 times
Answer \
c land on yellow 90 time
Answer:
all but B & D
Step-by-step explanation:
the sum of all data=314
314-120=194
164-44=150
I WAS WRONG THE ANSWERS WERE A AND D: DONT BELIEVE ME VIEW COMMENTS BELOW
Need help please thanks guys!
Please help... 12! - 9^3
Answer:
-729
Step-by-step explanation:
[tex]-9^3 = -9 x (-9) x (-9) =[/tex]
[tex]-9x(-9) = 81[/tex]
[tex]81x(-9)=-729[/tex]
The price of a vase was increased by 10% to £22. What was the price before the increase?
Answer:
Step-by-step explanation:
Let the price of the vase before increase = x
110 % of x = £ 22
[tex]\frac{110}{100}*x=22\\\\x=22*\frac{100}{110}\\\\x=2*10\\[/tex]
x = £ 20
Help me ASAP for this question you have to pick more than one
Answer:
A) 56/x=85/100
C) 56=(0.85)w
Step-by-step explanation:
Sonce 56/.85=65.88, we look for the two that have that answer.
A) 56/x=85/100
cross multiply 5600=85x
divide by 85
x=65.88 - YES
B) p=(0.85)56=47.6 - NO
C) 56=(0.85)w
Divide both sides by 0.85=65.88 - YES
D) x/56=85/100
100x=4760=47.6 - NO
Help ASAP! Will give out brainliest! Question: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent, dependent; one inconsistent; one inconsistent; none consistent, dependent; infinite
Answer:
Inconsistent; No Solution
Step-by-step explanation:
I used a graphing tool to graph the equations. When graphed, the lines are parallel. The lines have the same slope but a different y-intercept. This means that there is no solution.
The system is inconsistent, and therefore has no solution.
Question 4 of 10
What do you know to be true about the values of p and q?
po
q"
60"
50"
30"
80°
A. p= 9
B. p< 9
C. p> 9
D. Can't be determined
Answer:
p > q
Step-by-step explanation:
We khow that the sum of a triangle's angles is 180°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's start with the triangle containing p
● p+60+50 = 180
● p+110 = 180
● p = 180-110
● p= 90°
So p is a right angle
□□□□□□□□□□□□□□□□□□
The second triangle
● q+ 80+30 = 180
● q+ 110 = 180
● q = 180-110
● q = 70°
Then q is also a right triangle
■■■■■■■■■■■■■■■■■■■■■■■■■
We can deduce that p > q
By what least number should 336 be divided with to get a perfect cube.( please include steps)
Sallie read an average of 1.5 books each week during the year. Part A: Write an equation that represents the amount of books that she read (y) per week (x). Part B: How many total books will Sallie read throughout the 52 week year?
Answer:
y=1.5x
78
Step-by-step explanation:
y=1.5x
y=1.5(52)
y=78
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 6.7
B. 7.5
C. 3
D. 12
=================================================
Work Shown:
Use the geometric mean formula to find that BD = 6
BD = geometric mean of AD and DC
BD = sqrt(AD*DC)
BD = sqrt(12*3)
BD = 6
Then use the pythagorean theorem to find the missing side for triangle BCD
a^2+b^2 = c^2
(CD)^2 + (BD)^2 = (BC)^2
3^2 + 6^2 = m^2
m^2 = 45
m = sqrt(45)
m = 6.70820393249937 approximately
m = 6.7 after rounding to one decimal place
Find what x equals: |3x–1|=4
Answer:
x = 5/3 x = -1
Step-by-step explanation:
|3x–1|=4
The solution to an absolute value equation has a positive and a negative solution
3x-1 =4 3x-1 = -4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x =5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x = -1
Answer:
x=1 2/3,x=-1
Step-by-step explanation:
There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3
The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1
graph y= - x - 6 on a graph
Answer:
(Picture below)
Step-by-step explanation:
To solve this you will first need to make a coordinate plane that is 10 by 10.
After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.
Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.
please help attachment
Answer: 12 days
Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day
He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.
He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days
please help immediately
Answer: [tex]f'(1)=\dfrac{4}{2y+1}[/tex]
Step-by-step explanation:
To find the tangent, you need to find the derivative with respect to x.
Then substitute x = 1 into the derivative.
Given: 0 = 2x² - xy - y²
Derivative: 0 = 4x - y' - 2yy'
Solve for y': 2yy' + y' = 4x
y'(2y + 1) = 4x
[tex]y'=\dfrac{4x}{2y+1}[/tex]
[tex]\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}[/tex]
if you were to take a dime and 500 pennies and 5 quarters how much money would you have
Answer:
$6.35
Step-by-step explanation:
5*25=125
125+500=625
625+10=635
635/100=6.35
Answer:
$6.35
Step-by-step explanation:
500 pennies = $5.00
5 quarters = $1.25
.10+1.25+5=6.25
on day in the fall, mark raked the leaves on 5 peoples lawns in 2.5 hours. one day in the summer, he mowed 6 peoples lawns in 1.2 hours. the daily rate mark rakes lawns in the fall is what % of the daily rate he mowes lawns in the summer, assuming he works at a constant rate
Assuming he works at a constant rate, the daily rate Mark rakes lawns in the fall is 40% of the daily rate he mows lawns in the summer.
Step-by-step explanation:
Fall:
5 neighbors' lawns / 2.5 hours = 2 lawns per hour
Summer:
6 neighbours' lawns / 1.2 hours = 5 lawns per hour
2 x 100% / 5 = 40%
2 is 40% of 5
-
2) A builder is tiling a new bathroom and requires 30 tiles which are of
length z and height y. Find an equation that would show the area of the tiled
parts of the bathroom in terms of x and y.
Answer:
30xy
Step-by-step explanation:
Area for rectangle is length * width
____________________________________
Given
length of tile = x
width of tile = y (here y is given as height , it can be considered as width)
area of one tile = x*y = xy
there are 30 tiles used
thus area of 30 tiles = 30* area of one tile = 30xy
Thus, area of tiled parts is 30xy
Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
square pyramid and is covered in shiny gold foil.
3 in
How much gold foil did it take to cover the trophy, including the bottom?
inches
Answer:
45 square inches
Step-by-step explanation:
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom
Total surface = surface area of the base square + area of 4 triangles
Calculate the surface area of the base square
surface area of the square = s^2
where s= side length
s=3 in
The surface area of the base =s^2
=3^2
= 9 square inches
The surface area of the side triangles
The area of the triangle = (1/2)* side length* slant height
Side length=3 in
Slant height=6 in
substituting the values,
The area of the triangle =1/2*3*6
= 18/2
= 9 square inches
There are 4 triangles
The area of 4 triangles = 4 x 9
= 36 square inches
Therefore,
Total surface = surface area of the base square + area of 4 triangles
= 9 + 36
= 45 square inches
Answer:
IT'S 216 TRUST ME!
Step-by-step explanation:
Type the correct answer in each box. In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,000. In 2013, how many people in New York state did not live in New York City? The answer in standard notation is______. The answer in scientific notation is p × 10q, where p is_____and q is ____.
Answer:
The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.
Step-by-step explanation:
Let's answer the question correctly this way:
Population of New York State = 19'650,000
Population of New York City = 8'406,000
Population that do not live in New York City = 19'650,000 - 8'406,000
Population that do not live in New York City = 11'244,000
Population that do not live in New York City in scientific notation = 1.1244 * 10⁷
The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answer:
600 blocks
Step-by-step explanation:
Well this question is asking us to find the volume of the rectangular prism.
Dimensions)
L: 12
W: 10
H:5
The formula for the volume of a rectangular prism is l*w*h or B*h.
So 12*10 = 120
120 * 5 = 600 blocks
Thus,
the fort contains 600 blocks.
Hope this helps :)
Answer:
[tex]\boxed{280\ blocks}[/tex]
Step-by-step explanation:
The blocks at the base are:
Length * Width = 10 * 12 = 120 blocks
On the 2nd Layer:
=> 9+11+9+11 = 40 blocks
There are 3 more layers as the 2nd layer:
So, the blocks of these 4 layers are => 4 * 40 = 160 blocks
Total Blocks = Base Blocks + Layer Blocks
=> 120 + 160
=> 280 blocks
Type the correct answer in each box. In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,000. In 2013, how many people in New York state did not live in New York City? The answer in standard notation is______. The answer in scientific notation is p × 10q, where p is_____and q is ____.
Answer:
Standard notation:1124400
P=1.124
q=6
Step-by-step explanation:
Standard notation is the normal way of writing a number(in this case the standard notation is 11 244 000(which is the difference between the population of the New York state and New York city)
Then scientific notation is writing a number in two parts. The first part is placing a decimal point after the first digit. The second is *10 to a power that puts the decimal point back where it should be.(1.124*10 to the power 6)
HOPE IT HELPED