Answer:
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²Step-by-step explanation:
Given :-
Length of rectangle = 9 feet Width of the rectangle = 7 feetTo Find :-
Perimeter and areaSolution :-
We know that,
Perimeter of rectangle = 2(L + W)Substituting the values, we get:
↠ Perimeter = 2(9 + 7)
↠ Perimeter = 2(16)
↠ Perimeter = 32 feet
Now,
Area of rectangle = Length × WidthSubstituting the values, we get:
↠ Area = 9 × 7
↠ Area = 56 ft²
Hence,
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²-4. A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. If the car
continues to travel at this rate, which equation can be used to determine y, the total
number of miles the car will travel, in x hours?
(2017)
A. y=48x
B. y=x+48
C. 48y = x
D. 48+y=x
Answer:
A. Is the answer
I'm correct right?
The perimeter of arectangular poultry farm is 38 meter . if 3 meter subtracted from its length and 2 meter from its breadth , the length will be two times the breadth .find the area of the farm
Answer:
82 2/9 square meters
Step-by-step explanation:
The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.
P = 2(L +W) . . . . . . formula for the perimeter of a rectangle
38 = 2(L +W) . . . . . the perimeter is 38 meters
(L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.
__
Dividing the first equation by 2 gives ...
19 = L +W
Solving this for L gives ...
L = 19 -W
Substituting for L in the second equation, we have ...
(19 -W) -3 = 2(W -2)
16 -W = 2W -4 . . . . . . . simplify
20 = 3W . . . . . . . . . . . add W+4
W = 20/3 . . . . . . . . . divide by 3
L = 19 -20/3 = 37/3 . . . . find L from W
__
The area of the farm is the product of length and width:
A = LW = (37/3 m)(20/3 m) = 740/9 m²
A = 82 2/9 m²
The area of the farm is 82 2/9 square meters.
Complete part (a) and part (b) given the following system of equations.
x-y=1
x + 3y =9
Write your answer.
Answer:
(3,2)
Step-by-step explanation:
Setting up equation so we can use substitution method
x - y = 1 , x + 3y = 9
step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.
x = y + 1 , x + 3y = 9
now we can plug in ( or substitute hence substitution method ) the first equation into the second
Solving for y using the substitution method
x + 3y = 9
plug in x = y + 1
y + 1 + 3y = 9
combine like terms
4y + 1 = 9
subtract 1 from both sides
4y = 8
divide both sides by 4
y = 2
Now to find the value of x we plug in the value of y into one of the equations and solve for x.
Solving for x
x - y = 1
y = 2
x - 2 = 1
add 2 to both sides
x = 3
The solution would be (3,2)
Answer:
x = 3 and y = 2 or (3,2) in coordinate form
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Solve by elimination of x-terms by multiplying either one of equations with -1:
For this, I choose to multiply -1 in first equation:
[tex]\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}[/tex]
Then add both equations:
[tex]\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}[/tex]
Divide both sides:
[tex]\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}[/tex]
Next, substitute y = 2 in one of equations to solve for x:
For this, I choose to substitute y = 2 in the first equation:
[tex]\displaystyle \large{x-y=1}[/tex]
Substitute y = 2 in:
[tex]\displaystyle \large{x-2=1}[/tex]
Add both sides by 2:
[tex]\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}[/tex]
Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)
__________________________________________________________
First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Write the system of equations in matrices form:
[tex]\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Let:
[tex]\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }[/tex]
From [tex]\displaystyle \large{AX=B \to X=A^{-1}B}[/tex] where:
[tex]\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }[/tex]
Find [tex]\displaystyle \large{\det A}[/tex]:
[tex]\displaystyle \large{\det A = ad-bc = 3+1=4}[/tex]
Therefore:
[tex]\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Evaluate the matrices:
[tex]\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}[/tex]
Therefore, the solution is x = 3 and y = 2
How many solutions does this system of equations have?
Sy=-4x + 3
2x + 8y = 10
Answer:
Step-by-step explanation:
Assuming the s is a typo the answer to this system is x=7/15 and y=17/15
using the similar triangles below, solve for x !
Answer:
Step-by-step explanation:
Remarks.
This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.
63/(8x - 2) = 49 /42
Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions
Proportion
63/(8x - 2) = 49 /42
Solution
63/(8x - 2) = 49 /42 Cross Multiply
(8x - 2)*49 = 63 * 42 Combine the right.
(8x - 2)*49 = 2646 Divide by 49
8x - 2 = 54 Add 2 to both sides
8x -2+2=54+2 Combine
8x = 56 Divide by 8
8x/8 = 56/8
Answer: x = 7
What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?
Answer:
Step-by-step explanation:
Pyramid height should be 14
Base area should be 14*14(196)
So, Base area is 196
1. Multiply the Base area by the height of the pyramid:
196*14=2744
2. Divide the number above by 3:
2744/3=914.7
katie says the graph of y = 8 (1/2)^x is the same as the graph f(x) = 8(1/2)^x. Do you agree? explain your reasoning.
Answer:
Yes
Step-by-step explanation:
In two-demensional graphing f(x) and y are used in the same way. They both represent a "function of x"
Find the volume of the cone
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
Answer:
Step-by-step explanation:
the circumference for the circle is 23 yd.
Which rule best describes the pattern?
3, 9, 27, 81, ___, ____, ___
A. Add by 6
B. Add by 6, add by 18
C. Divide by 3
D. Multiply by 3
Answer:
D. Multiply by 3
Step-by-step explanation:
Given:
A sequence 3,9,27,81,__,__,__To find:
PatternNotice that if you keep multiplying by 3:
3*3 = 99*3 = 2727*3 = 81Then you will get exact sequence as given, so next 3 missing terms have to be:
81*3 = 243243*3 = 729729*3 = 2187Hence, the pattern for this sequence is to multiply by 3.
Note
This given sequence is called Geometric Sequence, a sequence with common ratio.Common Ratio can be found by dividing next term with previous term. (I.e. 9/3 = 3 so a common ratio for this sequence is 3)By multiplying previous term with a common ratio, you get the next term.Solve for w : 5w squared - 5w = 0
Answer:
The answer is 1
Step-by-step explanation:
5w² – 5w = 0
Add 5w both side
5w² – 5w + 5w = 5w – 5w
5w² = 5w
Now, Divide both side by 5w we get,
5w²/5w = 5w/5w
w = 1
Thus, The value of w is 1
Answer:
w = 1
Step-by-step explanation:
Given :
5w² - 5w = 0Bring 5w to the other side.
5w² = 5w 5 and w are each present on both sides so they cancel out, leaving us with :w = 1can someone help i need a a
Answer:
Distributive Property
Step-by-step explanation:
You can distribute the 5 to the 6 and 9 in the parenthesis.
Answer:
distributive
is the letter A
Does the point (1, -1) lie on the line (-10x + 5y = -8)? Explain why/why not.
In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.
In this case, the x-coordinate is:-
[tex]\mathrm{1}[/tex]
and the y-coordinate is:-
[tex]\mathrm{-1}[/tex]
Plug in the values:-
[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]
[tex]\mathbf{-10-5=-8}[/tex]
[tex]\mathbf{-15=-8}[/tex]
Huh?!
As you can see, we ended up with a false statement.
Hence, the answer is:-
[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
the point (1, -1) doesn’t lie on the line (-10x + 5y = -8)
Step-by-step explanation:
Generaly , a point A(x₀ , y₀) lies on the line of equation ax + by = c
If its coordinates verify the equation which means
When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c
Then
just replace x by 1 and y by -1 in the equation: -10x + 5y = -8
We get , -10(1) + 5(-1) = -10 - 5 = -15
Since -15 ≠ -8 then (1 , -1) don’t verify the equation
Hence , the point (1, -1) doesn’t lie on the line (-10x + 5y = -8)
pls help asap!!!!!!!
Answer:
[tex]3\cdot \frac{1}{2},\:\frac{21}{7},\:\pi ,\:4.1[/tex]
Step-by-step explanation:
convert the number to all decimals or fraction and compare.
One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?
Answer:
13/42.
Step-by-step explanation:
That would be the sum of the 2 fractions:
1/6 + 1/7
= 7/42 + 6/42
= 13/42.
Convert 0.631 to a fraction in simplest form and a percent.
Answer:
63.1%
631/1,000
Step-by-step explanation:
I need this answered please
Answer:
37
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets put the values in now :)
35^2 + 12^2 = c^2
1225 + 144 = c^2
1369 = c^2
Now we need to find the square root!
[tex]\sqrt{1369}[/tex] = 37
Have a great day!!
Please rate and mark brainliest!!
Hey Buddy !
Question : -For the following right triangle , find the side length x .
Given : - Perpendicular = 12 Base = 35Hypotenuse = x To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .
Pythagoras Theorem : -According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .
[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseFrom Here Solution Starts : -Substituting the values in formula :
x² = 12² + 35²x² = 144 + 1225x² = 1369x = √1369x = 37[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]
#[tex] \rm{ \bold{Keep \: Learning}}[/tex]Eric is a great skateboard fan. He visits a shop named SKATERS to check some prices. At this shop you can buy a complete board. Or you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of hardware, and assemble your own board. The prices for the shop's products are:
Eric has 120 zeds to spend and wants to buy the most expensive skateboard he can afford. How much money can Eric afford to spend on each of the 4 parts? Put your answer in the table below.
Answer:
Deck | 60 zed
wheels | 14 zed
trucks. | 16+16 32 zed
Hardware | 10 zed
total. | 116 zed
remaining 4 zed
Step-by-step explanation:
hope this helps
mark me brainliest
Use the defined sets to answer the questions. assuming 0 is an even integer, which set is the complement to set b? which set is an empty set? which set would contain the subset e = {1, 3, 5, 7}?
The universal set contains all possible elements in the set
The complement of set B is the set D.The empty set is the set CThe set D contains the subset E = {1, 3, 5, 7}The complement of set BThe sets are given as:
A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer}Where the universal set is:
U = {all integers}
The set B is the set of all even integers.
So, its complement would be the set of all odd integers i.e. set D
Hence, the complement of set B is the set D.
The empty setFrom the set definition, we have:
C = {x | x ∈ U and 2x is an odd integer}
This means that the set C contains elements 2x, where 2x is an odd number.
The element x is an integer, and twice an integer (i.e. 2x) is an even number.
This means that 2x cannot be an odd number;
Hence, the empty set is the set C;
The set that contains the subset E = {1, 3, 5, 7}The subset E = {1, 3, 5, 7} contains odd integers.
From the set definition, set D represents the set of odd integers
Hence, the set D contains the subset E = {1, 3, 5, 7}
Read more about sets at:
https://brainly.com/question/10057967
Answer:
D,C,D
Step-by-step explanation:
On edge 2023
(4x^2+9x-7)-(-7x^2+5x-1)
(4x
2
+9x−7)−(−7x
2
+5x−1)
Step-by-step explanation:
I think the expression is
(4x² + 9x - 7) - (-7x² + 5x - 1)
and that is the same as
4x² + 9x - 7 + 7x² - 5x + 1 =
= 11x² + 4x - 6
remember that the combination of two '-' signs turns this into one '+' sign.
to subtract a negative number is indeed the same as adding a positive number with the same absolute value.
75 percent of 32 students had an A,how many students did not get an A?
Answer:
8 did not get an A
Step-by-step explanation:
75% obtained an A , then
25% did not obtain an A
25% of 32
= [tex]\frac{25}{100}[/tex] × 32
= 0.25 × 32
= 8
omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!
Answer:
x = 45, y = 24.
Step-by-step explanation:
If the 2 numbers are x and y:
x + y = 69...........(1)
x = 2y - 3
x - 2y = -3...........(2)
Subtract: (1) - (2):
x - x + y - (-2y) = 69 - (-3)
y + 2y = 72
3y = 72
y = 24.
From equation 1:-
x + 24 = 69
x = 45.
Answer:
one number would be 63 and the other would be 6
Step-by-step explanation:
69/2=34.5
it says 3 less which means minus 3, so you would:
34.5-3=31.5
then it says twice the smaller number, so you would:
31.5*2
A bird drops a stick to the ground from a height of 75 ft. The function h= - 16t2 + 75 gives the stick's
approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
graph.
The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds
How to determine the time it hits the ground?The function is given as:
h(t) = -16t^2 + 75
Next, we plot the graph of the function h(t)
From the graph of the function h(t) (see attachment), we have the following highlight:
t = -2.165 and t = 2.165 when h(t) = 0
Time cannot be negative.
So, we have:
t = 2.165
This means that the stick hits the ground at about 2.165 seconds
Read more about quadratic functions at:
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The radius of a circle is 11 miles. What is the circle's circumference?
Answer:
69
Step-by-step explanation:
The formula for a circumference with the radius is C=2πr=2·π·11≈69.11504mi.
Kalyue drew a rectangle with a perimeter of 20 inches. Then he tried to draw a square with a perimeter of 20 inches. What are the dimensions of square with a perimeter of 20 inches?
Step-by-step explanation:
a square has 4 identical sides.
so, when you have to "walk" around the perimeter of a square you have to go 4 times the same distance.
therefore
20 = 4×side length
side length = 20/4 = 5 in
it is a 5 in × 5 in square.
FYI a rectangle has 2 pairs of sides that are equally long inside their pair.
and so you have in this case a perimeter of
2×6 + 2×4 = 12 + 8 = 20 in
You are a chef and you are tasked to prepare a lunch menu proposal for an upcoming
symposium of different youth organizations to be catered by the restaurant your
restaurant. You need to do the following:
1. Come up with 5 sets of lunch menus with a unique title for each. Consider the
different food preferences (according to the age group, culture, and others). (You
may include descriptions and appetizing pictures.)
2. Out of these menus, how many ways can the event organizer choose 3 out of the
five lunch menus you prepared for their initial selection? (Show your solution)
a. With repetition
b. Without repetition
3. Give at least 3 of these ways.
a. With repetition
b. Without repetition
Your output will be rated according to the following criteria:
Presentation of the Lunch Menus (which may include pictures). Accuracy of the use of
Mathematical Concepts (Combination and/or Probability of Simple Events), and
Feasibility of the Proposed Lunch Menus.
The lunch menu is an illustration of permutation and combination
There are 125 ways to select three lunch menus with repititionThere are 10 ways to select three lunch menus without repititionThe lunch menu
To answer this question, the following set of lunch menu would be used:
Fish and chips.Ham sandwich.Superfood salad.Cheese sandwich.Jacket potato with filling.How to select 3 lunch menu with repitition?Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.
So, the number of selection is:
n = 5³
Evaluate
n = 125
Possible selections are:
Fish and chips, Jacket potato with filling and Jacket potato with filling.Ham sandwich, Ham sandwich and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichHow to select 3 lunch menu with repitition?Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.
So, the number of selection is:
n = ⁵C₃
Evaluate
n = 10
Possible selections are:
Fish and chips, Jacket potato with filling and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichFish and chips, Ham sandwich and Superfood salad.Read more about combination at:
https://brainly.com/question/11732255
Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?
Answer:
What would you do when you okay so he said yes would go What would you do when you okay so he said yes would go What would you do when you okay so he said yes would What would you do when you okay so he said yes would goWhat would you do when you okay so he said yes would go
A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?
The approximate surface area of the balloon is 199 cm².
The approximate volume of the balloon is 262 cm³
What is the surface area and the volume of the balloon?Radius of the balloon = circumference / 6.2832
25 / 6.2832 = 3.98cm
Surface area = 4πr²
4 x 22/7 x 3.97² = 199 cm²
Volume = 4/3πr³
4/3 x 22/7 x 3.97³ = 262.20 cm³
To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
Write the measure of this missing angle
Answer:
c= 30
Step-by-step explanation:
To find the value of c, start by forming an equation using the ∠ sum of ∆ property.
c° +60° +90°= 180° (∠ sum of ∆)
Simplify:
c° + 150°= 180°
c°= 180° -150°
c°= 30°
c= 30
Notes:
The sum of the angles in a triangle is 180°, which is abbreviated as '∠ sum of ∆'. The angle indicated by a square is called a right angle, and has a value of 90°.Given sinx=0.3, what is cosx? enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.
The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95
What is the value of cosx?It is given that
The value of Sinx=0.3
Now we know that
[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]
Hence the value of Cosx=[tex]\pm[/tex]0.95
To know more about trigonometry identities follow
https://brainly.com/question/24496175
Can someone help? I don’t get this one
Answer:1.4*10^-9
Step-by-step explanation:
Answer:
1.4×10−x^-{9}
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hopefully this helps you!
- Matthew
