Answers
Answer:
Widths are 2, 4, 5
Border or the perimeter of all these rectangles = 16
Perimeter of a rectangle
=> 2 ( L + W)
W = Width
L = Length
Area of a rectangle
=> L x W
First rectangle
Perimeter = 2(L+W)
=> 2 (L + 2) = 16
=> 2L + 4 = 16
=> 2L + 4 - 4 = 16 - 4
=> 2L = 12
=> 2L/2 = 12/2
=> L = 6
Length of the First Rectangle = 6
Area = L x W
=> 6 x 2 = 12
Area of the First Rectangle = 12
Second rectangle
Perimeter = 2( L + W)
=> 2 (L + 4) = 16
=> 2L + 8 = 16
=> 2L + 8 - 8 = 16 - 8
=> 2L = 8
=> 2L/2 = 8/4
=> L = 4
Length of the Second Rectangle = 4
Area = L x W
=> 4 x 4
=> 16
Area of the Second Rectangle = 16
Third Rectangle
Perimeter = 2 (L + W)
=> 2 (L + 5) = 16
=> 2L + 10 = 16
=> 2L + 10 - 10 = 16 - 10
=> 2L = 6
=> 2L / 2 = 6/2
=> L = 3
Length of the Third Rectangle = 3
Area = L x W
=> 3 x 5
=> 15
Area of the Third Rectangle = 15
To find which figure covers more spaces, we need to which figure has more area.
=> Rectangle 2 has the largest area = 16
Related Questions
On a quiz there are four multiple choice questions worth 3 points each
Answers
Answer:
12 pts total
Step-by-step explanation:
Answer:
The four multiple choice are worth 12 points total
Hello, I need some help resolving this problem of Trigonometric Identities. Use the reciprocal identities to resolve it SinA+cosA*cotA= cscA
Answers
Answer:
Please see steps below
Step-by-step explanation:
Start by writing all trig functions in the equation in terms of their simplest forms using the two basic trig functions: [tex]sin(\alpha) \,\,and\,\,cos(\alpha)[/tex]:
[tex]sin(\alpha)+ cos(\alpha)\,\frac{cos(\alpha)}{sin(\alpha)} = \frac{1}{sin(\alpha)}[/tex]
Now work on the left side (which is the most complicated one), trying to simplify it using the properties for adding fractions with different denominators:
[tex]sin(\alpha)+ cos(\alpha)\,\frac{cos(\alpha)}{sin(\alpha)}=sin(\alpha)+\frac{cos^2(\alpha)}{sin(\alpha)} =\frac{sin^2(\alpha)}{sin(\alpha)} +\frac{cos^2(\alpha)}{sin(\alpha)}=\frac{sin^2(\alpha)+cos^2(\alpha)}{sin(\alpha)}=\frac{1}{sin(\alpha)}[/tex]
where in the last step we have used that the Pythagorean identity for:
[tex]sin^2(\alpha)+cos^2{\alpha)=1[/tex]
Notice that we arrived at the expression: [tex]\frac{1}{sin(\alpha)}[/tex], which is exactly what appears on the other side of the initial equation/identity we needed to prove, so the prove has been completed.
Simplify 5x + 3x + 2 +4
Answers
Hi
add "x" with "x" and numbers with numbers
5x+3x+2+4 = 8x+6
Answer: [tex]8x+6[/tex]
Add
[tex]5x+3x=8x\\2+4=6\\8x+6[/tex]
the length of tangent is 15 cm drawn from point whose distance from center of circle is 17 cm find the radius of circle
Answers
Answer:
Then what is the radius of the circle? Since, the tangent of any point of a line is perpendicular to the radius through the point of contact. Hence, radius of the circle = 8 cm.
1. What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?
A. a complex number
B. a real number
C. an imaginary unit
D. a pure imaginary number
2. Which of the following statements is not true?
A. In order for a+bi to be a complex number, b must be nonzero.
B. A complex number is a number that can be written in the form a+bi where a and b are real numbers.
C. For a complex number written in the form a+bi, the value of a is called the real part of the complex number.
D. Every real number is also a complex number.
3. What is the real part of 4−5i?
4. What is the imaginary part of 7−6i?
5. Determine if the statement below is true or false. If it is false, rewrite it so it is true. Rewriting −10−−−−√ in terms of i results in −10i.
A. This statement is true.
B. This statement is false. Rewriting −10−−−−√ in terms of i results in 10i.
C. This statement is false. Rewriting −10−−−−√ in terms of i results in −10−−−−√i.
D. This statement is false. Rewriting −10−−−−√ in terms of i results in 10−−√i.
Answers
Re-writing question 5:
5. Determine if the statement below is true or false. If it is false, rewrite it so it is true. Rewriting √-10 in terms of i results in −10i.
A. This statement is true.
B. This statement is false. Rewriting √-10 in terms of i results in (√10)i.
C. This statement is false. Rewriting √-10 in terms of i results in −10√i.
D. This statement is false. Rewriting √-10 in terms of i results in 10√i.
Answer:
1) C. an imaginary number
2) A. In order for a + bi to be a complex number, b must be nonzero
3) 4
4) -6
5) B. The statement is false. Rewriting √-10 in terms of i results in (√10)i
Step-by-step explanation:
1. When a number can be expressed in the form a+bi where a and b are real numbers, then the number is said to be a complex number.
For example, the following are complex numbers where i = √-1 ;
i. 3 + 5i
ii. 4 - 7i
iii. -3 - 9i
Well, even real numbers are a subset of complex numbers. For example,
=> 5 can be written as 5 + 0i
=> -12 can be written as -12 + 0i
-- But when a and b are non-zero real numbers or at least b is a non-zero real number, then the number is said to be an imaginary number.
-- If a is zero, then the number is a purely imaginary number
-- If b is zero, then the number is a purely real number
2. For a number to be called a complex number;
i. it can be written in the form a + bi where a and b are real numbers,
ii. either a or b, or both, may be zero,
iii. a is the real part of the complex number,
iv. b is the imaginary part of the complex number.
v. it could also be a real number since every real number is also a complex number.
3. Given 4 - 5i
The real part is 4
and the imaginary part is -5
4. Given 7 - 6i
The real part is 7
and the imaginary part is -6
5. Rewrite √-10 in terms of i
Remember that i = √-1
Therefore,
√-10 = √(-1 x 10) = √-1 x √10
=> √-10 = √-1 x √10
=> √-10 = i x √10
=> √-10 = (√10)i
Khalid wants to buy a long sandwich for a party. Store A sells a 5 foot sandwich for $42.50. Store B sells a 6 foot sandwich for $49.50. Which store has the better buy? Show your work.
Answers
Store A: 1 foot= 42.50÷5 = $8.50
Store B= 1 foot= 49.50÷6 = $8.25
Answer:
Store B has a better buy because the price for 1 foot sandwich is cheaper than Store A.
A scientist was in a submarine, 95.7 feet below sea level, studying ocean life. Over the next ten minutes, she went down 25.3 feet. How many feet was she now below sea level?
Answers
Answer: she is now 121 feet below sea level.
Step-by-step explanation:
Given, A scientist was in a submarine, 95.7 feet below sea level, studying ocean life.
Over the next ten minutes, she went down 25.3 feet.
Then, she was (95.7+25.3) feet below sea level now. [we will add both distances ]
Then, she was 121 feet below sea level now.
Hence, she is now 121 feet below sea level.
3 packs of soda cost $10 less than 5 packs of soda. Write an equation and solve to find the cost of one pack of soda *
1 point
Answers
Answer:
3s = 5s - 10
Step-by-step explanation:
A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1200 in3,
what were the original dimensions of the piece of metal?
Answers
Answer:
width = 12.5
Step-by-step explanation:
rectangular volume = height * width * length
1200 = 4 * w * (20 + 4)
1200 = 4 * w * 24
1200 = 96w
12.5=w
Which equation represents this sentence? SIx times the difference of a number and eight is equal to twelve. A. 6n−8=12 B. 6n+8=12 C. 6(n−8)=12 D. 6(n+8)=12
Answers
Answer:
The answer is option CStep-by-step explanation:
Let the number be n
The statement
the difference of a number and eight is written as
n - 8
It's multiplied by 6
That's
6( n - 8)
The result is 12
So we have the final answer as
6( n - 8) = 12Hope this helps you
Solve the following quadratic equation 3x²-8x+5=0
Answers
To solve this equation, let's factor the left side.
Although you can factor it in different ways, I will show you a trick.
First, forget about the 3 and we have x² - 8x + 5.
Now, multiply the 3 by the constant to get 15.
So we have x² - 8x + 15.
Now factor to get (x - 5)(x - 3).
Now divide each of the constants in the
binomials by the leading coefficient, 3.
So we have (x - 5/3)(x - 3/3).
Simplify to get (x - 5/3)(x - 1).
Now move any denominators in front of the x in the binomial.
Moving the 3 in front of the x, we have 3x.
So our answer is (3x - 5)(x - 1) = 0.
So either 3x - 5 = 0 or x - 1 = 0.
Solving from here, we get x = 5/3 or x = 1.
Find the sum of the first 9 prime numbers.
Answers
Answer:
100
Step-by-step explanation:
The first 9 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and 23.
Their sum is 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100
Determine if the following relation is a function.
Answers
Answer:
It is a function.
Step-by-step explanation:
It is proven via the vertical line test.
Question 1 (1 point)
Danny wants to buy a truck in 4 years. He is going to put away $2,500.00 into his savings account that will pay him 6.75% interest compounded
monthly. How much will he have when he withdraws the funds to give a down payment?
Answers
Answer:
Amount after 4 years = $3274.125
Step-by-step explanation:
Time t= 4 years
Principal amount p= $2500
Interest rate R= 6.75%
Number of times compounded n= 4*12
Number of times compounded n= 48
Amount A = p(1+r/n)^(nt)
A= 2500(1+0.0675/48)^(48*4)
A= 2500(1+0.001406)^(192)
A= 2500(1.001406)^192
A= 2500(1.30965)
A= 3274.125
Amount after 4 years = $3274.125
what is the greatest common factor of 6d² and 18d
Answers
gcd = 6 ⋅ d
Step-by-step explanation:
We have that
6 d ^2 = 6 ⋅ d ⋅ d and 18 d = 3 ⋅ 6 ⋅ d hence the gcd = 6 ⋅ d
(Hope this helps <3)
Find the following products: a) (−12) × (−11) × (10) b) (−25) × (−8) × (−2) WITH EXPLANATION
Answers
Step-by-step explanation:
Hey, there!!
a. (-12)×(-11)×10
Here, (-)×(-)=(+)
(-12)×(-11)=132
so,
=132×10
=1320.
For b.
(-25)×(-8)×(-2)
(-)×(-)=(+)
(-25)×(-8)=200
so,
=200×(-2) { (+)×(-)=(-)}.
= -400.
Therefore, the answer of a. no. is 1320, and no. b is (-400).
Hope it helps....
Which option is an example of an experiment
Answers
Answer: Testing the effectiveness of a mouthwash by allowing one group to use it and comparing the results with those of a group that doesn't use it.
Step-by-step explanation: It's the most effective
use each of the digits 5 4 3 2 1 exactly once to create two different five digit numbers. Write each number on the line and compare the two numbers by using the symbols < > =
Answers
Answer:
12345 < 54321
21435 > 12534
:
Step-by-step explanation:
Given the digits:
1, 2, 3, 4 and 5
We have to use every digit only once and have to make two different five digit numbers.
Using these 5 numbers only once without repetition, we have many numbers possible.
Let us have a look at a few sets and let us compare them.
Set 1: 12345 and 54321
We can see that 12345 is lesser than 54321.
Therefore, we can write (using lesser than sign):
12345 < 54321
Set 2: 21435 and 12534
We can see that 21435 is greater than 12534.
Therefore, we can write (using greater than sign):
21435 > 12534
I WILL GIVE YOU LOTS OF Points
Answers
Answer:
D
Step-by-step explanation:
7^2 + 4^2 = [tex]\sqrt{65\\[/tex]
assume it is a triangle and x is the hypotenuse and use Pythagorean theorem
Answer:
D
Step-by-step explanation:
7^2 + 4^2 =
assume it is a triangle and x is the hypotenuse and use Pythagorean theorem
How much is 2/3 cups plus 1 1/4 cups
Answers
[tex]1\frac{11}{12}[/tex]
Step-by-step explanation:[tex]\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\ \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}[/tex]
100 is deposited into an investment account on January 1, 1998. You are given the following information on investment activity that takes place during the year:
April 19,1998 October 30, 1998
Value immediately prior to deposit 95 105
Deposit 2X X
The amount in the account on January 1, 1999 is 115. During 1998, The annual effective dollar weighted yield is 0%, and the annual effective time weighted yield is y. Calculate y.
Answers
Answer:
y = - 0.681 % ≈ -0.7 %
Step-by-step explanation:
Given:
April 19,1998 October 30, 1998
Value immediately prior to deposit 95 105
Deposit 2X X
amount in the account on January 1, 1999 = 115
effective dollar weighted yield = 0%
annual effective time weighted yield = y
To find:
Calculate y
Solution:
Given that the dollar weighted return is 0%
100 is deposited into investment account on January 1, 1998. So, add 100 to the deposits 2X X
100 + 2x + x = 115
3x = 115 - 100
3x = 15
x = 15/3
x = 5
Compute y
1 + y = (95/100)(105/105)(115/110)
1 + y = 0.95 * 1 * 1.045
1 + y = 0.99318
y = 0.99318 - 1
y = - 0.0068 * 100
y = - 0.681 % ≈ -0.7 %
y = -0.7 %
Solv for x for all of these 1. 3x+6=21 2. 33=7x-9 3. 28=7+x need to know now please help !!!!!!
Answers
Answer:
[tex] \boxed{ \sf{ \bold{1. \: \: \: x = 5}}}[/tex][tex] \boxed{ \sf{ \bold{2. \: \: x = 6}}}[/tex]
[tex] \boxed{ \bold{ \sf{3. \: \: x = 21}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{3x + 6 = 21}[/tex]
Move constant to right hand side and change its sign
⇒[tex] \sf{3x = 21 - 6}[/tex]
Subtract 6 from 21
⇒[tex] \sf{3x = 15}[/tex]
Divide both sides of the equation by 3
⇒[tex] \sf{ \frac{3x}{3} = \frac{15}{3} }[/tex]
Calculate
⇒[tex] \sf{x = 5}[/tex]
--------------------------------------------------------
2. [tex] \sf{33 = 7x - 9 }[/tex]
Swap the sides of the equation
⇒[tex] \sf{7x - 9 = 33}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{7x = 33 + 9}[/tex]
Add the numbers
⇒[tex] \sf{7x = 42}[/tex]
Divide both sides of the equation by 7
⇒[tex] \sf{ \frac{7x}{7} = \frac{42}{7} }[/tex]
Calculate
⇒[tex] \sf{x = 6}[/tex]
---------------------------------------------------------
3. [tex] \sf{28 = 7 + x}[/tex]
Swap the sides of the equation
⇒[tex] \sf{7 + x = 28}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{x = 28 - 7}[/tex]
Subtract 7 from 28
⇒[tex] \sf{x = 21}[/tex]
Hope I helped!
Best regards!!
someone Help if u know the answer pls put the step by step
6 = √v-2
Answers
Answer:
64
Step-by-step explanation:
I am assuming the -2 is outside the sqrt.
8 = sqrt(v)
v = 64
what is 1/16 times 1/4 as a fraction?
Answers
Answer:
[tex]\frac{1}{16}[/tex] x [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]
multiply 16 by 4 to get the denominator
The fraction 1/16 times 1/4 is equal to 1/64.
To find the product of 1/16 and 1/4, we can multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
1/16 x 1/4
= (1 x 1) / (16 x 4)
The product of the numerators is 1 x 1 = 1, and the product of the denominators is 16 x 4 = 64.
So, the result is:
1/16 x 1/4 = 1/64
Therefore, 1/16 times 1/4 is equal to 1/64.
Learn more about fraction here:
https://brainly.com/question/29019463
#SPJ6
Through a host of various investors, you have finally raised enough capital to begin producing the next summer blockbuster. You have a budget of 279 million dollars, which you must allocate between filming and editing. The general consensus among experts is that filming tends to cost twice as much as editing. How much money should you allocate to filming?
Answers
Answer:
$186 million
Step-by-step explanation:
The ratio of costs is ...
filming : editing = 2 : 1
So, the filming cost as a fraction of the total cost is ...
filming : total cost = 2 : (2+1) = 2/3
The allocation to filming is ...
(2/3)($279 million) = $186 million
simplify the answer z-4/4+8
Answers
Answer:
= z/12 - 1/3
Step-by-step explanation:
z-4/(4+8)
= z-4/12
= z/12 - 4/12
= z/12 - 1/3
what is the simplest form of fraction
Answers
Answer:
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).
FOR EXAMPLE
5/10 = 1/2
HERE 1/2 IS THE SIMPLEST FRACTION
what is 7 over 2 as a decimal
Answers
Answer:
3.5
Step-by-step explanation:
I recommend using a calculator. Divide 7/2.
log(16x+2) - log(4x+2)= log(2x+4)
Answers
Same as my answer last time:
Answer:
NO solution
Step-by-step explanation:
log(16x+2) - log(4x+2) = log((16x+2)/(4x+2)).
remove log
(16x+2)/(4x+2) = 2x + 4
multiply both sides by 2x + 1
8x + 1 = (2x + 4)(2x + 1)
distribute
8x + 1 = 4x^2 + 10x + 4
move to one side
4x^2 + 2x + 3 = 0
factor
but you can't
so you try to use quadratic formula, but you find that the discriminate is less than zero.
So there is no solution when x is a real number.
A manufacturing plant has 25 fuses. 12 failures occurred within 30 days. After each failure, the molding fuse is immediately replaced. What is the MTTF for the fuses
Answers
Answer:
MTTF for the fuses = 62.5
Step-by-step explanation:
Given:
Total fuses = 25
Number of failures = 12
Number of days = 30
Find:
MTTF for the fuses.
Computation:
MTTF for the fuses = Total operation time / Number of failures
MTTF for the fuses = (25 × 30) / 12
MTTF for the fuses = 62.5