Step-by-step explanation:
In A,
length=3units
width=2 units
area=length×width
area=3×2 sq.units
area=6 sq.units
In B,
length=1unit
width=4units
area=length × width
area=1unit × 4units
area= 4 sq.units
Note:if you need to ask any question please let me know.
5x+2
2x
Perimeter:
PLEASE HELP
Answer:
14x + 4
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:
(5x + 2)×2 = 10x + 4
And it also have two sides with length 2x, so:
(2x)×2 = 4x
And now just add it:
10x + 4 + 4x = 14x + 4
Answer: Perimeter = 14x + 4
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Given information
l = 5x + 2
w = 2x
Given expression
Perimeter = 2 (l + w)
Substitute values into the expression
Perimeter = 2 (5x + 2 + 2x)
Combine like terms
Perimeter = 2 (7x + 2)
Expand parentheses and apply the distributive property
Perimeter = 2 · 7x + 2 · 2
Perimeter = 14x + 4
Hope this helps!! :)
Please let me know if you have any questions
Please no links because they dont work :).
Answer:
semoga jawapan ini dapat membantu
6x + 3y - 9 when
x = 6, y = 9
Answer:
63
Step-by-step explanation:
6x + 3y - 9
x = 6
y = 9
6(6) + 3(9)
36 + 27
= 63
The angle,2Θ, lies in the third quadrant such that cos2Θ=-2/5. Determine an exact value for tanΘ . Show your work including any diagrams if you plan to use them. (3 marks)
Answer:
[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]
Step-by-step explanation:
1. Approach
One is given the following information:
[tex]cos(2\theta)=-\frac{2}{5}[/tex]
One can rewrite this as:
[tex]cos(2\theta)=-0.4[/tex]
Also note, the problem says that the angle ([tex]2\theta[/tex]) is found in the third quadrant.
Using the trigonometric identities ([tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]) and ([tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]) one can solve for the values of ([tex]cos(\theta)[/tex]) and ([tex]sin(\theta)[/tex]). After doing so one can use another trigonometric identity ([tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]). Substitute the given information into the ratio and simplify.
2. Solve for [tex](cos(\theta))[/tex]
Use the following identity to solve for ([tex]cos(\theta)[/tex]) when given the value ([tex]cos(2\theta)[/tex]).
[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]
Substitute the given information in and solve for ([tex]cos(\theta)[/tex]).
[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]
[tex]-0.4=2(cos^2(\theta))-1[/tex]
Inverse operations,
[tex]-0.4=2(cos^2(\theta))-1[/tex]
[tex]0.6=2(cos^2(\theta))[/tex]
[tex]0.3=cos^2(\theta)[/tex]
[tex]\sqrt{0.3}=cos(\theta)[/tex]
Since this angle is found in the third quadrant its value is actually:
[tex]cos(\theta)=-\sqrt{0.3}[/tex]
3. Solve for [tex](sin(\theta))[/tex]
Use the other identity to solve for the value of ([tex]sin(\theta)[/tex]) when given the value of ([tex]cos(2\theta)[/tex]).
[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]
Substitute the given information in and solve for ([tex]sin(\theta)[/tex]).
[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]
[tex]-0.4=1-2(sin^2(\theta))[/tex]
Inverse operations,
[tex]-0.4=1-2(sin^2(\theta))[/tex]
[tex]-1.4=-2(sin^2(\theta))[/tex]
[tex]0.7=sin^2(\theta)[/tex]
[tex]\sqrt{0.7}=sin(\theta)[/tex]
Since this angle is found in the third quadrant, its value is actually:
[tex]sin(\theta)=-\sqrt{0.7}[/tex]
4. Solve for [tex](tan(\theta))[/tex]
One can use the following identity to solve for [tex](tan(\theta))[/tex];
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
Substitute the values on just solved for and simplify,
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
[tex]tan(\theta)=\frac{-\sqrt{0.7}}{-\sqrt{0.3}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{0.7}}{\sqrt{0.3}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]
Rationalize the denominator,
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}*\frac{\sqrt{\frac{3}{`0}}}{\sqrt{\frac{3}{10}}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}*\frac{3}{10}}}{\sqrt{\frac{3}{10}*\frac{3}{10}}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{\frac{21}{100}}}{\frac{3}{10}}[/tex]
[tex]tan(\theta)=\frac{\frac{\sqrt{21}}{10}}{\frac{3}{10}}[/tex]
[tex]tan(\theta)=\frac{\sqrt{21}}{10}*\frac{10}{3}[/tex]
[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]
Find the length of the missing side ( nearest tenth
Answer:
43.4 yd
Step-by-step explanation:
[tex]45^{2}[/tex]-[tex]12^{2}[/tex]
2025-144=1881
[tex]\sqrt{1881}[/tex]
43.37049
43.4
PLEASE HELPP MEEE I NEED THE ANDWER QUICKKK
20.00$ - a=8.45$
Answer:
a= 11.55
Step-by-step explanation:
If the answer is 8.45, then the variable equals the difference of 20 minus the answer, 8.45
Hope this helps!
Can you guys help me find a flag that has at least one reflection and a translation in it? If not, then two flags that show these transformations.
This is very urgent and I need to get it done soon, whoever is willing to help me I'll mark you as brainliest. Thank you!
Answer:
The united nations flag the translation can be any of the blue triangles and the reflection if the flag itself as it is symmetrical
Step-by-step explanation:
The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If we study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
If you're reflecting a point (x,y) along x axis, then its abscissa will stay same but ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
Therefore, The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.
Learn more about reflection;
https://brainly.com/question/12950057
#SPJ2
A ball is thrown into the air with an upward velocity of 80 feet per second. The function
h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?
after 3 seconds
after 4 seconds
after 5 seconds
after 6 seconds
Best explanation gets Brainliest!!
Answer:
After 5 seconds
Step-by-step explanation:
One is given the following expression to model to the flight path of a ball:
[tex]h=-16t^2+80t[/tex]
In this problem, one is asked to find the time at which the ball lands on the ground. The easiest way to do so is to factor the expression. Take out factors that both terms have in common. The one will set the equation equal to zero, as this is the height at which one wants to find the time for. Finally, use the zero product property to solve. The zero product property states that any number times zero equals zero. Apply these ideas to the given function:
[tex]h=-16t^2+80t[/tex]
Factor the expression; both terms have a common factor of (-16t):
[tex]h=-16t^2+80t[/tex]
[tex]h=-16t(t-5)[/tex]
Set the equation equal to zero to solve for when the ball has a height of zero or rather lands on the ground:
[tex]h=-16t(t-5)[/tex]
[tex]0=-16t(t-5)[/tex]
Now use the zero product property, this states that any number times zero equals zero. Set each of the factors equal to zero, and solve to find the value of (t) for which the factor will equal zero:
[tex]0=-16t(t-5)[/tex]
[tex]0=-16t[/tex] [tex]t - 5 =0[/tex]
Solve for the value (t) using inverse operations,
[tex]0=-16t[/tex] [tex]t - 5 =0[/tex]
(divide by (-16) (add (5))
[tex]0=t[/tex] [tex]t=5[/tex]
As one can see, the ball started on the ground, therefore at (0) seconds, its height was (0). Then, after (5) seconds the ball landed on the ground, therefore, after (5) seconds its height was again (0).
Write the rules for determining the sign of the product when multiplying integers. Then, write (4 points)
the rules for determining the sign of the quotient when dividing integers. Use your own words
and use complete sentences. Make sure you answer both questions presented in this problem.
I
Answer:
hahaaaaaaaaaaaaaaaaa
Step-by-step explanation:
Answer:
IF the signs ARE same the result is a POSITIVE, if the signs are NOT the same the result is NEGATIVE
Step-by-step explanation:
it confuses me when i have to fill in the in between i just dont quite understand how to work it out please explain it clearly
Make the unknown numerator be x and unkown denominotor be y
We have : 7 - [tex]\frac{x}{y}[/tex] = 6[tex]\frac{4}{5}[/tex]
=> [tex]\frac{x}{y}[/tex] = 7 - 6[tex]\frac{4}{5}[/tex]
[tex]\frac{x}{y}[/tex] = [tex]\frac{1}{5}[/tex]
So we need to fill in the box : [tex]\frac{1}{5}[/tex]
If the answer is helpful, Brainliest please!
Which number is NOT plotted correctly on the number line?
f(x)=|-3x+4|+5 help?
Answer:
This will plot as an upward "V" with the vertex at x = 4/3, y = 5
Step-by-step explanation:
The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so
-3x + 4 = 0
-3x = -4
x = 4/3
which makes y = 5 (the minimin)
If the mine winch drum diameter is 4,5m, calculate how far the counterweight will lift each single rotation of the drum, use formula C=2πr
Answer:
i have no idea that's why I need ur help
I kinda need help with this
Answer:
x = 1
Step-by-step explanation:
f(x) = 3 or y = 3
Locate y = 3 on the y- axis , go horizontally across to meet the line at (1, 3 )
Then
When f(x) = 3 , x = 1
If the divisor is 60, what is the least four-digit dividend that would not have a remainder?
Answer:
2400
which is not having any remainder as 2400÷60=40
Step-by-step explanation:
an appliance repair p person charges 55 per trip plus 15 per hour for her labor. the cost of fixing a stove was 92.50. write and solve an equation to find how many hours it took to repair the stove
(92.50-55)/15 =2.5 hours
Step-by-step explanation:
92.5 (total) -55 (trip charge) = 37.50(hour charge)
37.50(hour charge)/15{per hour charge)=2.5(hours)
Answer for-159=-5(1-4n)+6
[tex]- 159 = - 5(1 - 4n) + 6 \\ - 159 = - 5 + 20n + 6 \\ - 159 = 1 + 20n \\ 20n = - 159 - 1 \\ 20n = - 160 \\ \\ n = \frac{ - 160}{20} = - \frac{16}{2} = - 8 \\ \\ n = - 8[/tex]
I hope I helped you^_^
helpppp i don’t remember how to do algebra it’s been two years hahaha
whats number 26.
..............................
Answer:
y = 1/3mx + b
Step-by-step explanation:
x = 3(y - b)/m
~Multiply m to both sides
mx = -3b + 3y
~Add 3b to both sides
mx + 3b = 3y
~Divide everything by 3
1/3mx + b = y
y = 1/3mx + b
Best of Luck!
[tex]\\ \rm\longmapsto x=\dfrac{3(y-b)}{m}[/tex]
[tex]\\ \rm\longmapsto mx=3(y-b)[/tex]
[tex]\\ \rm\longmapsto mx=3y-3b[/tex]
[tex]\\ \rm\longmapsto 3y=mx+3b[/tex]
[tex]\\ \rm\longmapsto y=\dfrac{1}{3}mx+b[/tex]
The sum of two integers with different signs is 8. Give two possible integers that fit this discretion
Answer:
Step-by-step explanation:
16 - 8 which will give 8. The 16 is plus, the 8 is minus. They do have different signs.
15 - 7 which gives 8. Same explanation.
108 - 100 = 8 Same method.
barbara and jeff ate out for dinner the total came to &15.00. they left a 15% tip how much was the tip and the meal together?
Answer:
$17.25
Step-by-step explanation:
The tip is 15% of $15.00, or 0.15 * 15 = $2.25
We add that to the meal's cost, which is $15.00
15.00 + 2.25 = 17.25
18/20-4/12
Show your work
Answer:
17/30 (0.56)
Step-by-step explanation:
18/20-4/12
Reduce the fraction with 2 and 4: 9/10-1/3
Write all numerators above the least commmon denominator 30: 27-10/30
Subtract: 27-10/30 = 17/30
Write as an algebraic expression five times the sum of a number and 4
Answer:
5(x+4)
Step-by-step explanation:
It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).
A design for a banner includes a striped background. The stripes are colored in the repeating order: yellow, blue, orange, green, and purple. What calor is the 37th stripe?
Answer:
purple.orang.blue.yellow and green
purple.orang.blue.yellow and green
1. Which of the following is a true statement?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number whose
square root is an even number.
SHOW PROOF
Answer:
C
Step-by-step explanation:
Squaring is multiplying a number by itself
Examples:
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
etc.
please help
answer choices
A. (-5, 2)
B. (5, 2)
C. (2, -5)
D (-2, 5)
Answer:
The correct choice is option B. (5, 2)
Step-by-step explanation:
The rotation rule of 180° is = (x ,y) -> ( -x , -y) .
Coordinates of C before the rotation are ( -5 , -2) so according to the rule above they will now be = C'( 5 , 2 ) .
Therefore, the ordered pair for C' is (5, 2) after the 180 degrees rotation.
Find the smallest positive integer n such that the digit sum of n is divisible by 5, and the digit sum of n +1 is also divisible by 5. Note: The digit sum of 1440 is 1+4+4+0 = 9.
Answer:
139,999
Step-by-step explanation:
If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999
Notice that a number is only divisible by 5 if it ends in 5 or 0.
Only using this, we will find that the number is 49,999
Suppose we wanted the sum of the digits to end in 5, then we could have something like:
23
2 + 3 = 5
if we add 1, we get:
23 + 1 = 24
2 + 4 = 6
This will happen always.
instead, if we use a 0 as the last digit of the sum, we get:
For example, the simplest one:
19
we have:
1 + 9 = 10
10 is divisible by 5.
if we add 1, we get:
19 + 1 = 20
2 + 0 = 2
2 is not divisible by 5.
We have a problem again, but this time you can see that the whole structure of the number does change. So we should keep trying with ones and nines.
Now we need to modify our number to the point we get n + 1 to be divisible by 5.
if we add a 9 to the right side of our number, we get:
199
1 + 9 + 9 = 19
clearly, not divisible by 5.
Here we need to add a 1 at the left side to make it divisible by one, so we get:
1199
1 + 9 + 1 + 9 = 20
this is divisible by 5.
now let's add 1:
1,199 + 1 = 1,200
1 + 2 = 3
3 is not divisible by 5.
Now, if you look at the two numbers we used, we can see that:
for 19, the sum of the digits + 1 gave us a 2.
for 1,199, the sum of the digits +1 gave us a 3.
then just let's add two ones and two nines.
We will get:
11,119,999
adding the digits:
1 + 1 + 1 + 1 + 9 +9 +9 +9 = 40
is divisible by 5.
Adding one to our number, we can get:
11,119,999 + 1= 11,120,000
Adding the digits:
1 + 1 + 1 + 2 + 0 + 0+ 0+ 0 = 5
divisible by 5.
Now, we can group the ones together, so instead of the number 11,119,999
we can have 49,999, which is way smaller.
Adding the digits, we get:
4 + 9 + 9 + 9 + 9 = 40
And adding one to our number, we get:
49,999 + 1 = 50,000
Adding the digits:
5 + 0 + 0 +0 + 0 = 5
So we found the smallest number n such that the sum of the digits of n is divisible by 5, and the sum of the digits of n + 1 is also divisible by 5.
If you want to learn more, you can read:
https://brainly.com/question/21416852
can anyone help me please? 63 over 7-2x3
Answer:
Below,...
Step-by-step explanation:
Your equation:
[tex]\frac{63}{7-(2*3)} =\frac{63}{7-6} =\frac{63}{1}=63[/tex]
Hope it helps,... Chow,...!
Evaluate (3.4 x 10^)(4.5 x 103). Write your
answer in scientific notation.
Answer:
153*10^3
Step-by-step explanation:
I assumed the first exponential number as 1
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{(3.4 \times 10^4)(4.5 \times 10^3)}}\\\huge\boxed{\mathsf{\rightarrow 3.4\times10^4 \times 4.5 \times 10^3}}[/tex]
[tex]\huge\boxed{\mathsf{10^4}}\\\huge\boxed{= 10\times10\times10\times10}\\\huge\boxed{= 100\times100}\\\huge\boxed{= 10,000}\\\\\\\huge\boxed{\mathsf{10^3}}\\\huge\boxed{=10\times10\times10}\\\huge\boxed{= 100\times10}\\\huge\boxed{= 1,000}[/tex]
[tex]\huge\boxed{\rightarrow\mathsf{3.4\times \bold{10,000} \times 4.5 \times \bold{1,000}}}}[/tex]
[tex]\huge\boxed{\mathsf{3.4\times10,000}}\\\huge\boxed{= 34,000}\\\\\\\huge\boxed{\mathsf{4.5\times1,000}}\\\huge\boxed{{= 4,500}}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow\bf 34,000\times4,500}}\\\huge\boxed{\rightarrow\mathsf{ORIGINAL \ ANSWER: \frak {153,000,000}}}}[/tex]
[tex]\huge\boxed{\textsf{Your answer: }\mathsf{153\times10^6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
The pages in a book are numbered starting with one. The book has 250 pages. How many digits did the printer use in numbering the pages of the book? A. 640 B. 642 C. 320 D. 321
Answer:
B)642
Step-by-step explanation:
Between 1 and 9 , it will use 9 letters
Between 10 and 99, there are 90 different numbers and every number have 2 digits so it will use 180 letters
Between 100 and 250 , there are 151 different numbers and every number have 3 digits so it will use 453 letters
Totally it used 9+180+453=642