Answer:
9 inches; 4.5 inches.
Step-by-step explanation:
Given the following data;
Length of sides of the equilateral triangle = 1.4x + 2 inches.
Length of sides of the hexagon = 0.5x + 2 inches.
We know that the perimeter of a hexagon is given by the formula;
P = 6 * length of sides
Substituting into the equation, we have;
P = 6*(0.5x + 2)
P = 3x + 12
Perimeter of an equilateral triangle is given by the formula;
P = 3 * length of sides
Substituting into the equation, we have;
P = 3(1.4x + 2)
P = 4.2x + 6
Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;
3x + 12 = 4.2x + 6
Rearranging the equation, we have;
12 - 6 = 4.2x - 3x
6 = 1.2x
x = 6/1.2
x = 5
I. To find the length of each sides of the equilateral triangle;
Length of a side = 1.4x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 1.4*(5) + 2
Length of sides = 7 + 2
Length of sides = 9 inches.
II. To find the length of each sides of the hexagon;
Length of sides = 0.5x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 0.5*(5) + 2
Length of sides = 2.5 + 2
Length of sides = 4.5 inches.
The side length of the equilateral triangle 9 inches.
The side length of the hexagon 4.5 inches.
The side length of the equilateral triangle = 1.4x + 2
So, the perimeter = 3(1.4x + 2) = 4.2x + 6.
The side length of the hexagon = 0.5x + 2
So, the perimeter = 6(0.5x + 2) = 3x + 12.
Given tha the perimeters are equal.
So,
[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]
Hence,
The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9
The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5
Learn more: https://brainly.com/question/13532036
A farmer takes 1 week to fill 5 bins of squash. At this rate, how long will it take to fill 350 bins?
Answer:
490 days or 70 weeks
Step-by-step explanation:
Time needed for the farmer to fill 1 bin of squash:
7 days (1 week) divided by 5 = 7/5 days
Time needed to fill 350 bins:
350 x 7/5 days = 490 days or 70 weeks
What is the equation of the line that passes through the point (2,0) and has a slope of 5/2
Identify the slope from the table
NEED HELP PLEASE thank you sb
Answer:
-4
Step-by-step explanation:
‘X’ adds by one while ‘y’ adds by -4
If Jack weighs more that Jill, and they run up the same hill, who has done more work?
If Jack and Jill weigh the same, and Jill runs up the hill in half the time as Jack, who had more power??
Answer:
1. Jack, because he weighs more and has to use move power to move.
2. Jill
Step-by-step explanation:
Answer:
omg lol. Okay well for the first one the answer is jack does more work going up the hill.
For the second one Jill has more power.
The number that represent the parts per 100 is called the part
Answer: Is their a graph or something that goes with this. I dont understand.
Step-by-step explanation:
Answer:
What do you want to find?
Step-by-step explanation:
I don't understand...
Add more details and then I'll answer
9x - y power two - 20 ≥ 0 i need every passage
Answer: photo
Step-by-step explanation:
I am not sure but hope it helps
Sam currently has $48 in savings. He had been saving S6 each week. Yesterday he spent $90 of the savings. For how many weeks had he been
saving?
(a) Write an equation that could be used to answer the question
above. First, choose the appropriate form. Then, fill in the blanks
with the numbers 48, 6, and 90. Let w represent the number of
weeks.
(b) Solve the equation in part (a) to find the number of weeks.
w = ?
Step-by-step explanation:
90 + 48 = 6w
138 = 6w
23 = w
.....
-15= x/-0.5 8= what does x equal
Help asap i will do brainlist and everything
Answer:
the picture isnt showing
Evaluate the expression.
20² + 6(9 + 3) =
PLEASE SOMEONE HELP ME I NEED THIS ASAP PLEASE HELP ME I BEG YOU .....
Answer:
9.57
Step-by-step explanation:
Pleaseee Helppppp
Find the minimum value of the function f(x) = x2 + 12x + 31.5 to the
nearest hundredth.
Answer:
The answer is pie
Step-by-step explanation:
I know best
Answer:
x = -6.00 (rounded to nearest hundredth)
Step-by-step explanation:
for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex] we have [tex]f(x)=x^2+12x+31.5[/tex] a = 1 b = 12 to find minimum use equation [tex]x=\frac{-b}{2a}[/tex] [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]In 2012, Indonesia experienced an intense earthquake with a magnitude of 8.6 on the Richter scale. In 1952, Uganda experienced an earthquake that measured 6.5 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and convert to exponential form.
R=logI
2012 earthquake:
8.6I=logI=108.6
1952 earthquake:
6.5I=logI=106.5
Form a ratio of the intensities.
intensity for 2012intensity for 1952
Substitute in the values and divide by subtracting the exponents to find
108.6106.5102.1≈126.
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
Your answer:
The intensity of the 1952 earthquake was about 110 times the intensity of the 2012 earthquake.
Answer:
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and convert to exponential form.
R=logI
2012 earthquake:
8.6I=logI=108.6
1952 earthquake:
6.5I=logI=106.5
Form a ratio of the intensities.
intensity for 2012intensity for 1952
Substitute in the values and divide by subtracting the exponents to find
108.6106.5102.1≈126.
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
The two figures shown are congruent. Which statement is true?
Answer:reflection image of the other
Source:trust me bro
The temperature in Minsk was recorded over a period of four hours. The
equation
y = -5x + 54
describes the temperature over this time, where y is the temperature in
degrees Fahrenheit (°F) and x is the number of hours since measurements
started. Which of the following statements correctly describes the
temperature?
A. It was -5°F after four hours, and it is rising by 54 degrees per
hour.
B. It was 54°F when the temperature was first measured, and it is
dropping by 5 degrees per hour.
c. It was -5°F when the temperature was first measured, and it is
rising by 54 degrees per hour.
O D. It was 54°F after four hours, and it is dropping by 5 degrees per
hour
Answer:
D.) it was 54 degrees Fahrenheit when the temperature was first measured, and it is dropping by 5 degrees per hour
Step-by-step explanation:
I took the quiz
Answer:
D
Step-by-step explanation:
I took the test
All you need is on the photo
Answer:
[tex]4^{-3}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\4^4*4^{-8}*4\\We\ know\ that,\ for\ any\ real\ number\ n, n^a*n^b=n^{(a+b)}\\Hence,\\First,\ lets\ write\ all\ the\ terms\ in\ an\ exponential\ form.\\4^4*4^{-8}*4^1\\=4^{(4+(-8)+1)}\\=4^{(5-8)}\\=4^{-3}[/tex]
Suppose that P (A)=0.4 AND P (B)=0.2, If events A & B ARE Mutually EXCLUSIVE :
- What is the probability of either A or B occurring
- What is the probability of neither A nor B will happen
Part (a) Finding the probability of either A or B
We are told that events A and B are mutually exclusive. This means they cannot happen at the same time. We can say P(A and B) = 0
Furthermore,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.4 + 0.2 - 0
P(A or B) = 0.6
Answer: 0.6=======================================================
Part (b) Finding the probability of neither A nor B
P(A or B) + P(neither A nor B) = 1
P(neither A nor B) = 1 - P(A or B)
P(neither A nor B) = 1 - 0.6
P(neither A nor B) = 0.4
The reason why this works is to imagine throwing a dart at the Venn diagram. You'll either...
you land in A or B (pick one but not both), OR,you'll land outside both regions A and B.One or the other must happen. Both events cannot happen simultaneously.
Answer: 0.4solve the following inequality showing all steps -3n+7<4
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]
[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Complete each of the diamond problems below
Could I get help with this one?
Answer:
x3
Step-by-step explanation:
What’s the common factor for 72 and 84
Answer:
Step-by-step explanation:
This is the general method for doing this problem. First factor these numbers into primes.
72: 2 * 2 * 2 * 3 * 3
84: 2*2 * 3 * 7
Now each number has at least two 2s
Each number has at least one 3
The highest common factor is 2 * 2 * 3 = 12
Which of the following is a better buy?
7 tickets for $22.75
10 tickets for $31.50
Answer:
10 tickets for $31.50
Step-by-step explanation:
So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket
If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.
So In conclusion 10 tickets for $31.50 dollars is the better buy
Answer:
10 Tickets Is The Better Deal
Step-by-step explanation:
So What You Do Is You Will Divide 22.75 By 7
You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets
For The Next One You Do The Same Thing
You Want To Divide 31.50 By 10
You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets
So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal
Hope This Help
DOH! My Brain Hurts
A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?
Answer:
2.85 x 2 is equal to 5.7 so that should be the answer
Step-by-step explanation:
Did it on calculator sorry if wrong lol
Answer:
$5.70
Step-by-step explanation:
6 muffins is half a dozen, so double $2.85 and you get $5.70.
Henry bought 8 DVDs for $19.99 each. How much does Henry spend on the DVDs?
Please Help :))
Answer:
$159.92
Step-by-step explanation:
8x19.99=$159.92
Describe the transformation that takes f (x) = x + 1 To g (x) = -x + 4. [ Please No Plagiarism and Will mark brainliest . .
Answer:
fliped over y axis and moved up 3
Step-by-step explanation:
fliped over y axis (changed x to -x) and moved up 3 (changed +1 to +4)
Answer:
why did you delete my answer HUH?
Step-by-step explanation:
I need help on this question
Summer used of her ground beef to make burgers. If she used pounds of beef, how much beef did she have at first?
Do not include units (pounds) in your answer.
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A. -4
B.-2
C.-1
D. 1
Answer:
n = -4
Step-by-step explanation:
You must write and solve a symbolic equation.
n - 6 = 5(n + 2), or
n - 6 = 5n + 10
Combining like terms, we get:
-16 = 4n,
and so n = -4
Answer:
A. -4
Step-by-step explanation:
-1/4 ÷ -3/8
Please Hurry
Answer:
2 /3 (decimal form ≅ 0.6666667 )
Step-by-step explanation:
Unary minus: -1 /4
= -1 /4
Unary minus: -3 /8
= -3 /8
Divide: the result of step No. 1 : the result of step No. 2 = -1 /4 : (-3 /8 ) =
-1 /4 x -8 /3 = -1 (-8) divided by 4(3) = 8 /12 = 4(2 ) divided by 4(3) = 2 /3
Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
If the income tax rate is increased to 21%, how much more tax will Sam pay?
Answer:
he would pay $8,293.5 in income tax.
b:
Step-by-step explanation: he pays 15.280515891294% of his pay in tax. if the income rate was increased to 21% then he would pay 9,675.75 in taxes. Which is 1,382.25 more than 18% tax.