The area of the rectangle will be 24sq, units.
How can we calculate the area of the rectangle?To determine the area of various polygons, there exist specialized formulae. The general formula for rectangles is as follows:
A = width x length
Given, the coordinates of the rectangle are W(0,1), X(3,4), Y(-1, 8), Z(-4,5)
So the length of rectangle will be = distance between W and X will be -
⇒[tex]\sqrt{(3 - 0)^{2} + (4-1^{2}) }[/tex]
⇒[tex]\sqrt{18}[/tex]
The breadth of rectangle will be = distance between X and Y
⇒ [tex]\sqrt{(3 + 1)^{2} + (8-4)^{2} }[/tex]
⇒ [tex]\sqrt{32}[/tex]
Now, area of rectangle = length × breadth
⇒ [tex]\sqrt{18}[/tex] × [tex]\sqrt{32}[/tex]
⇒ 24 sq. units
So, the area of the rectangle will be - 24 sq. units
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[tex]x^{3} -4;x=\frac{2}{3}[/tex]
Answer: -100/27
Step-by-step explanation:
[tex]x^3 - 4[/tex]=
[tex](\frac{2}{3} )^3 - 4[/tex]=
[tex](\frac{2^3}{3^3} ) - 4[/tex]=
[tex]\frac{8}{27} - 4[/tex]=
([tex]\frac{8}{27} - 4[/tex])*27/27= ==> multiply by 27 to get rid of denominator
(8-4*27)/27=
(8-108)/27=-100/27
what properties can be used to solve 3 + 7 + 2 + 5 + 9
The Properties that are used to solve 3+7+2+5+9 are Closure Property of Addition and Multiplication , Commutative Property of Addition and Distributive Property Reverse .
In the question
the given expression is 3+7+2+5+9
= 3+7+2+5+9
= 3+9+5+9 ( Closure Property of Addition as 7+2=9 )
= 3+5+9+9 ( Commutative Property of Addition as 9+5=5+9 )
= 8+9+9 ( Closure Property of Addition as 3+5=8 )
= 8+(1+1)9 ( Distributive Property Reverse )
= 8+2*9 ( Closure Property of Addition as 1+1=2 )
= 8+18 ( Closure Property of Multiplication as 2*9=18 )
=26 ( Closure Property of Addition as 8+18=26 )
Therefore , the Properties that are used to solve 3+7+2+5+9 are Closure Property of Addition and Multiplication , Commutative Property of Addition and Distributive Property Reverse .
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6.411
The rounded answer is
Answer:
Step-by-step explanation:
6.411=
6.411=6.4
Write an algebraic expression for “the quotient of 16 and b”.
A.
16 + b
B.
16 - b
C.
16 * b
D.
16 ÷ b
Answer: D
Step-by-step explanation:
Quotient means division
math wizards please help i need more help afterwards please
Answer: 32 copies $3170
Step-by-step explanation:
in 2018, the population density in singapore was 21,400 residents per square mile. what is the population density of singapore in residents per square kilometer? (note that 1 mi
In terms of persons per square kilometer, Singapore has a population density of 8266.12
What is Population Density?The amount of people in a given region per unit area is known as population density.
In 2018, Singapore had a population density of 21,400 people per square mile.
The parameters provided are
There are 21400 inhabitants in total.
Area = 1 square mile,
The square kilometer to square mile conversion
1 x 1.609² = 2.588881 Km²
Residents per square mile divided by the population
21400 x 2.588881 is the population density.
8266.12 people are found in every square kilometer.
As a result, Singapore has a population density of 8266.12 persons per square kilometer.
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At the fast food restaurant, an order of fries costs $0.88 and a drink costs $1.03. how much would it cost to get 5 orders of fries and 4 drinks? how much would it cost to get ff orders of fries and dd drinks?
Answer: $8.52
$(0.88f+1.03d)
Step-by-step explanation:
a=cost of fries. b=cost of drink.
5a+4b=
5(0.88)+4(1.03)=
4.4+4.12=
4.40+4.12=$8.52
f=number of fries. d=number of drinks
fa+db=
0.88f+1.03d=$(0.88f+1.03d)
a building contains 24 rooms in total, 9 of the rooms are on the top floor 7 of the roooms have red walls. 2 of the rooms on the top floor also have red walls work out the possibility that a room is picked at random that is neither on the top floor and doesnt have red walls give your answer as a fraction in its simplist form
Answer:
Step-by-step explanation:
18/24=3/4
Solve for x.
-(-2–5x)+(−2)=18
0x = -90
- 188
5
O
X =
0x =
O x = 90
18
5
Answer:
The answer is x=18/5
Step-by-step explanation:
how let us try it
-(-2–5x)+(−2)=18
2+5x-2=18
5x=18
x=18/5
whats the literal equation for x
6y+18x=-14
Answer:
y=-3x-7/3
Step-by-step explanation:
You just subtract 18x from both sides and then divide by 6 on both sides to get it, lmk if that was what your asking for :)
6 divied by 6.48 how to slove it
It should be noted that dividing 6 by 6.48 will be 0.926.
Whst is division?It should be noted that division simply means the separation of the numbers that are given.
In this case, we want to divide 6 by 6.48. It should be noted that 6 can be multiplied by 109 making 600 and 6.48 will be 648.
The division will be:
= 600 / 648
= 25/27
= 0.926.
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At the rate of 4 peaches for a half dollar, 20 peaches will cost
Answer:
$2.50
Step-by-step explanation:
a game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar. would you play this game or not and why?
Final answer:
I would play the game because we could win with probability 17/27.
What significance does probability have ?Information about the possibility that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.
According to the First Law of Probability, the outcomes of one chance event have no bearing on those of succeeding chances occurrences. Consequently, the chance of getting heads the second time you flip it remains at 1 in 2. The chances of getting heads on the sixth flip, even if you got five consecutive heads, stay at 12.
Everyday existence heavily relies on probability. Weather predictions, sports and gaming tactics, insurance purchases or sales, internet shopping, and online gaming.
Explanation:
If both of your dice, or at least one of them, match at least one of the other player's dice, you win. This provides us five scenarios where we win. Let's use the letters A, B, C, and D to represent the results of the dice, with your dice being A and B and the other player's being C and D. The five possibilities are:
1) [tex]A = B[/tex]
2) [tex]A = C[/tex]
3) [tex]A = D[/tex]
4) [tex]B = C[/tex]
5) [tex]B = D[/tex]
A B C D
1) [tex]6 * 1 * 6 * 6[/tex] A can be anything, B has 1 option, C and D can be anything.
2) [tex]6 * 5 * 1 * 6[/tex] A can be anything, C has 1 option, A != B so B has 5 options.
3) [tex]6 * 5 * 5 * 1[/tex] A can be anything, D has 1 option, A !=B and A != C so B and C have 5 options.
4) [tex]5 * 6 * 1 * 5[/tex] B can be anything, C has 1 option, A != B and A != D so B and D have 5 options.
5) [tex]5 * 6 * 4 * 1[/tex] B can be anything, D has 1 option, A != B so A has 5 options, C != A and C != B so it has 4 options.
Therefore, it becomes [tex](6^3 + 6^2*5 + 2*6*5^2 + 6*5*4) / 6^4[/tex]
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can someone help me with this problem?
Using complementary angles, the measure of angle 4 is of 39º.
What are complementary angles?If two angles A and B are complementary, the sum of their measures is of 90º.
In this problem, angles 3 and 4 are complementary, hence:
m<3 + m<4 = 90º.
Angles 1 and 3 are opposite by the same vertex, hence they are congruent and we can find x as follows:
m<1 = m<3
4x - 13 = 2x + 19.
2x = 32
x = 16.
The measure of angle 3 is given by:
m<3 = 2(16) + 19 = 51.
Hence the measure of angle 4 is found as follows:
m<3 + m<4 = 90º.
51 + m<4 = 90º.
m<4 = 39º.
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find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x
The parametric equations for this line :
x=11+5s , y=4s , z=2+6s
The value of t that creates the point (11,0,2)
Substitute 11 for x:
11
10
t=1
check that t=1 works for the y and z values:
15−1=0
15+1=2
These check, t=1
Tangent vector:
dxdt=5√t
dydt=5t4−1
dzdt=5t4+1
The tangent vector for all points, ¯v(t), is:
¯v(t)={5√t}ˆi+{5t4−1}ˆj+{5t4+1}ˆk
The tangent vector at the indicated position is the object of our interest:
¯v(1)=5ˆi+4ˆj+6ˆk
The vector equation of the tangent line :
(x,y,z)=(11,0,2)+s(5ˆi+4ˆj+6ˆk)
What are the purposes of parametric equations?Parametric equations can be used to describe all types of curves that can be represented on a plane but are most often used in situations where curves on a Cartesian plane cannot be described by functions (e.g., when a curve crosses itself).
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The function f is defined as follows
h(x)=-4x^2+6
if the graph of h is translated vertically downward by 5 units, it becomes the graph of function g
FIND THE EXPRESSION FOR G(X)
Answer:
g(x)=-4x²+6
Step-by-step explanation:
Subtract 5 from -4x²+6.
-4x²+6-5=-4x²+1
g(x)=-4x²+6
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I need help with this question
pls, help I don't understand this.
The dimensions of rectangle B are 4.5 inches by 3 inches. So the correct option is the first one.
What are the possible dimensions of rectangle B?
We know that the dimensions of rectangle A are 6cm by 4cm, and rectangle B is similar to rectangle A, then the two rectangles have the same shape but different size.
Notice that the ratio between the dimensions of rectangle A is:
R = 6/4 = 3/2 = 1.5
Then, any other rectangle with the same ratio will be similar to rectangle A.
If we take the ratios for the options we get:
1) 4.5 in by 3 in:
R = 4.5/3 = 1.5
So yes, this rectangle is similar to rectangle A, then these can be the dimensions of rectangle B.
Then we conclude that the dimensions of rectangle B are 4.5 inches by 3 inches, and thus, the correct option is the first one.
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Like terms have the same______ and the same______.
Answer:
variables like terms are terms that contain the same varibles raised to the same power
Two strait lengths of wire are placed on the ground forming vertical angles. if the mesure of one of the angles formed is 72 what are the other three angles
The other three angles are 72° , 108° and 108°.
Two strait lengths of wire are placed on the ground forming vertical angles. The measure of one of the angles formed is 72° . We know that sum of all four angles will be 360°. We also know that the vertical angles are congruent. If the measure of one angle out of four angles is 72° and straight lines equal 180°. So, we need to subtract 72° from 180°.
180° - 72° = 108°
The other angle will be 108°. As the vertical angles are equal, so the four angles will be 72° , 72° , 108° and 108°.
The other three angles are 72° , 108° and 108°.
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Dan bought 5 new baseball trading cards to add to
his collection. The next
day his dog ate half of his collection. There are now
only 32 cards left.
How many cards did Dan start with ?
Answer: 59
Step-by-step explanation:
just multiply 32x2 and then subtract 5 and u wil get 59
Write a recursive function called digit_count() that takes a positive integer as a parameter and returns the number of digits in the integer.
The count of integers is returned to the main function at the end of the function.
What are recursive functions?A recursive function is one that calls itself while running. The process may be repeated several times, with the result and the end of each iteration output. The function Count() below employs recursion to count from 1 to 10 using any number between 1 and 9.So,
The Python recursive function DigitCount(), which uses comments to explain each line, is as follows:
#This defines the function
def countdigits(n):
#If the integer is less than 10
if n< 10:
#Then the integer has 1 digit
return 1
#Otherwise,
else:
#Count the number of integers
return 1 + countDigits(n / 10)
At the end of the function, the count of integers is returned to the main function.
Therefore, the count of integers is returned to the main function at the end of the function.
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Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.
If Joy works at the same rate, how many ornaments will she make this weekend?
Answer:
5 ornaments
Step-by-step explanation:
2 ornaments is 6 hours = 2/6 ornaments/hour = 1/3 ornaments/hour
1/3 ornaments/hour × 15 hours = 5 ornaments
Help please. I don't have long lol
Answer:
A
Step-by-step explanation:
The submarine is descending at a rate of 4.2 feet per minute. How many feet below sea level is the submarine at after 5 minutes.
But the multiplication problem below.
Answer:
21
Step-by-step explanation:
4.2*5=21 hope this helps
Is the option I chose correct? Please help FAST!!!
Answer: that should be the answer i did that question i think
IMPORTANT HELPP
What type of transformation is this? Be specific
Answer:Translation
Step-by-step explanation:
Solve the following equation.
5(m-1)=-25
Translate the sentence into an equation.
Four more than the product of a number and 3 is equal to 5.
Use the variable c for the unknown number.
0
0=0
ローロ
X
8 0+0
メロ
S
The correct answer 4+3w=5.
Variables in an equation are typically English alphabets and can have any real value that the equation is satisfied with. They also include coefficients and constants. In an equation, constants are the independent numbers for the variables, and coefficients are the numbers connected to the variables. Algebraic equations with orders equal to one or one are known as linear equations.
An analytical claim that two things are equal is known as an equation. Either a term or an expression are present in an equation. An equation is a statement of equality in mathematics that contains one or more variables.
Let the unknown variable be w,
4+(w×3)=5
4+3w=5
Solving ,
3w=5-4
3w=1
w=1/3
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what is the slope, y intercept, and equation
Answer:
y=3x-7
Step-by-step explanation:
Choose 2 points.
(3, 2) and (4, 5)
Use slope formula.
y2-y1/x2-x1
5-2/4-3=
=3/1=3
Slope is 3.
The y-intercept is when x is 0. The y-intercept was already given. It is -7.
Y-intercept is -7.
Now you can use the slope-intercept formula.
y=mx+b
m=slope=3
b=y-intercept=-7
y=3x-7
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