Answers
Answer:
20 m
Step-by-step explanation:
We can see from the hatch marks that JK is equal to one half of HG
2(6x - 4) = 10x
12x - 8 = 10x
2x - 8 = 0
2x = 8
x = 8/2
x = 4
therefore to find JK we will substitute x with 4
JK = (6(4)-4) = 24 - 4 = 20m
Related Questions
evaluate: 16^1/2 x 2^-3
Answers
Answer:
64
Step-by-step explanation:
16^1
---------------------- = 64
2 x 2 - ^3
Apply exponent rule
16^1 = 16
= 16
------------------
2x2 - ^3
16 = 2x 8
2 x 8
-----------
2 x 2 - ^3
Cancel the common factor <2>
8
---------
2-^3
Factor the number 8 = 2^3
2^3
----------
2-^3
Apply exponent rule.
= 2^3 - (-3) = 6
3- (-3) = 6
= 2^6
2^6 = 64
64 is the answer
Answer:
0.5
Step-by-step explanation:
[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]
[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]
[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]
[tex] \frac{1}{ 2} [/tex]
what is the sum of 71/5 + 2 4/5 = N
A.9 5/5
B. 10
C. 10 5/5
D. 9 1/2
Answers
Answer:
A
Step-by-step explanation:
71/5 + 24/5 = N
Since the denominator is the same for both values, we can add them together.
71+24 / 5 = 95/5
We can prove this since 71/5 = 14.2 and 24/5 = 4.8
14.2 + 4.8 = 19
95/5 = 19
What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a
meter?
Answers
Answer:
3.553774
Step-by-step explanation:
[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]
h
works out to 3.553774
The radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
What is a hemisphere? What is a mathematical function, equation and expression? hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is hemisphere with a volume of 94 m³.
The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :(2/3)πr³ = 94
πr³ = (94 x 3/2)
πr³ = 47 x 3
πr³ = 141
r³ = (141/π)
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
Therefore, the radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
To solve more questions on hemispheres, visit the link below -
https://brainly.com/question/29275358
#SPJ5
If lineman works 9 1/2 hours a day on a certain job at $28.70 per hour, what is the pay for a day?
Answers
The cost to mail a first-class letter used to be $0.40 the first ounce. Each additional ounce costs $0.20. Fractions of an ounce are
rounded up to the next whole ounce. How much would it cost to mail a letter that weighs 3.7 ounces?
• $0.60
O $1.00
O $0.90
O $1.20
Answers
The distance from Seattle to Orlando is about 3,000 miles. The distance from Earth to the moon is 80 times that distance.
What is the distance from Earth to the moon?
Answers
Answer:
vggyyrt5 gf t66t6
Step-by-step explanation:
yy dry t6t ty y yuri u fry uu huf yy875
- 4. What is the roster form of the set K = {x/x are odd numbers from 2 to 8} ? A. H = {2, 4, 6, 8} C. H = {3, 4, 5, 6, 7} B. H = {3, 5, 7} D. H = {2,8} 1 2 3 ? Which method for theiva CIV & CLUJ -
Answers
Explanation:
We simply list any odd number that is between 2 and 8. The term "roster form" can be thought of as listing the roster of a sports team (eg: baseball). So instead of describing what the numbers look like, we list out the numbers themselves. Those numbers being 3, 5 and 7.
Something like {2,4,6,8} is ruled out because we're dealing with odd numbers only.
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?
Answers
The number of order of each aircraft is an illustration of simultaneous equations.
You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
To do this, we make use of the following representations:
A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9sFrom the question, we have the following equations
[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers
[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes
[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget
Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]
[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]
[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]
[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]
[tex]\mathbf{435B + 405C = 5850}[/tex]
Divide through by 15
[tex]\mathbf{29B + 27C = 390}[/tex]
Make C the subject
[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]
[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]
[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]
[tex]\mathbf{325B + 365C =4950 }[/tex]
Divide through by 5
[tex]\mathbf{65B + 73C =990}[/tex]
Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]
Multiply through by 27
[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]
[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]
Collect like terms
[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]
[tex]\mathbf{-362B =-1740}[/tex]
Solve for B
[tex]\mathbf{B =\frac{1740}{362}}[/tex]
[tex]\mathbf{B =5}[/tex] --- approximated
Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]
[tex]\mathbf{C = \frac{245}{27}}}[/tex]
[tex]\mathbf{C = 9}[/tex] --- approximated
Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
So, we have:
[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]
[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]
[tex]\mathbf{A = 7}[/tex]
Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
Read more about simultaneous equations at:
https://brainly.com/question/16763389
solve pls branliest!
Answers
Answer:
2004-(-185)=2189
-185+469=284
Step-by-step explanation:
I double checked them
Answer:
A. 3 is 1,819 feet lower than 5
B.284
Step-by-step explanation:
Please help, the question is in the photo
Answers
Answer:
38.3 miles per gallon
Step-by-step explanation:
if you divide the miles driven by the gallons used you get 38.3
689.4 / 18 = 38.3
1263.9 / 33 = 38.3
1570.3 / 41 = 38.3
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $69. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? The skier would have to go skiing nothing days. plz answer right and give more info on how u got the answer ty
Answers
Divide the season pass cost by the daily capstone:
350 / 69 = 5.07
They would have to ski 6 days for the season pass to be less expensive
The prices of a 32-ounce
container of yogurt at three different grocery stores are
$4.49, $3.99, and $4.29, respectively. Find the average
price for the container of yogurt.
Answers
Answer:
9.77 i think
Step-by-step explanation:
add up all prices then subtract by three i think
Answer:
93 is the correct answer
What is the value of x?
Enter your answer in the box. I need help ASAP/ Giving Branniest
x =
°
Answers
Answer:
x = 80
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
70+30+x = 180
100+x = 180
Subtract 100 from each side
100+x-100 = 180-100
x = 80
3 with an exponent -5
Answers
Answer:The answer would be 1/243
———————————————
In decimal form is would be: 0.00411522 . . .
Answer: 1/243
Step-by-step explanation:
3^-5= 1/(3^5) = 1/ (3*3*3*3*3) = 1/243
Need answer please !!
Answers
Answer:
Step-by-step explanation:
Least common denominator is 10
there are 10/10 portions in the whole circle
1/2 = 5/10
2/5 = 4/10
10/10 - 5/10 - 4/10 = 1/10
Show your solution follow the steps
need an answer, please need an answer, please.
Answers
Answer:
after calculating I got this answer.
hope this answer helps you dear...take care
if a=2,b=1 and c=1 than evalute ab+bc
Answers
Answer:
3
Step-by-step explanation:
2x1+1x1
Answer:3
Step-by-step explanation:
(2)(1)+(1)(1)
2+1
=3
Find the slope between these two points:
(6, -12), (15, -3)
Answers
Answer:
The slope is 1
Step-by-step explanation:
Answer:
1+6/9
Step-by-step explanation:
-3-12,
6 -15
=-15/-9=1 and6/9
8.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
A. y – 270 = 45x; $45
B. y = 45(x – 4); $180
C. y = 45(x – 4); $270
D. y – 270 = 45(x – 2) ; $450
Answers
Answer:
D. y – 270 = 45(x – 2) ; $450
Step-by-step explanation:
GradPoint answer
I got it correct on the quiz.
PLS HELP
Worth 20 Points
Easy
I will give brainilest
Answers
Answer:
x-axis
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
!HELP 20 POINTS!! Which table represents exponential growth?
Answers
Answer: The second table represents exponential growth.
Step-by-step explanation:
The second tables Y values go up with the X values so it is exponentia. The first table the Y values rise and then fall with the X values so it is not exponentia. Hope this helps!
Big brainers
help me pls
Answers
Answer:
$36 each
Step-by-step explanation:
she paid $96 during a sale for 4 rose bushes
96÷4=24
so $24 per rose bush during the sale
it said that each one was $12 less than the original price
so 24+12=36
How many phone numbers without area codes are possible? the first digit cannot be zero or one.
Answers
let’s say there’s 7 blanks :
_ _ _ _ _ _ _
the first can’t be 0 or 1 so that means that it can be 2,3,4,5,6,7,8,9 which is 8 numbers
Now we have settle what the first digit can or can’t be, there are 6 numbers left.
Because there are no more restrictions for phone numbers that don’t work (first digit can’t be one or zero was the only restriction), the question then becomes : How many 6 digit numbers are possible (000000) can count , well we know that the biggest 6 digit number is 999999 and the smallest is 000000. That means there are 999999–000000+1 numbers between them inclusive. For those of you that are curious how I got the plus one, when you are counting the amount of numbers between let’s say a and b inclusive, the amount of numbers between them inclusive is |a-b| +1. Example : The amount of numbers between 2 and 13 inclusive is just |2–13|+1 which is 12. 2,3,4,5,6,7,8,9,10,11,12,13 is 12 numbers so |a-b|+1 works for the amount of numbers between a and b inclusive.
Anyways, back to the problem. 999999–000000+1 means there are 1000000 or 1 million possible 6 digit numbers. But that’s not the answer to the problem because each 1 of those 1 million 6 digit numbers needs a 7th digit which and be any number from 2–8 . This means that you need to multiply 1000000 by 8 to get 8 million possible phone numbers. If your wondering why I multiplied by 8, let’s say the number abcdef is one of the possible 6 digit numbers. If you add a 7th digit 2–9 to our number abcdef, then our number abcdef can be 2abcdef, 3abcdef, 4abcdef, 5abcdef, 6abcdef, 7abcdef, 8abcdef, 9abcdef.
Just a quick side note for any misconceptions, when I say the number abcdef, I don’t mean a times b times c times d times e times f, I mean a is the number in the hundred thousands place, b is the number in the 10 thousands place, c is the number in the thousands place, d is the number in the hundreds place, e is the number in the tens place, f is the number in the ones place.
Back to the problem, because there are 8 possible numbers for the 7th digit (AKA the first number in the phone number) you need to multiply the 1000000 different 6 numbers by 8 because each of those numbers has 8 variations.
In summary, there are 8*1000000 or 8 million different phone numbers whose digits aren’t 0 or 1
A truck can be rented from Company A for $100 a day plus $0.50 per mile. Company B charges $40 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company.
Answers
Answer:
18 miles
Step-by-step explanation:
Let
The number of miles = x .According to Question ,
100 + 0.5(x) = 40 + 0.8(x) 100 + 0.5x = 40+ 0.8x 100 - 40 = 0.8x - 0.5x 60 = 0.3x x = 60/3 * 10 x = 18troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros.
29. Find the unit rate of Euros per dollar
30. how many Euros will he get for $125?
Answers
Step-by-step explanation:
answer for number 2 is 85 euros
.68 euros per usd
What is the area of a circle with a diameter of 10cm (used 3.14)
Answers
Answer:
78.5
Step-by-step explanation:
A=[tex]pie[/tex]r^2
A=3.14 times 5^2
A=3.14 times 25
A= 78.5
Jesus Loves You!!!
Heyyy help maybe????????????
Answers
Since 3 ft = 1 yard
it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?
Answers
Answer:
2.5 hours
Step-by-step explanation:
→ Write the formula
Speed = Distance ÷ Time
→ Find the distance for 3 hours at a speed of 50 mph
Distance = Speed × Time ∴ 3 × 150 = 150
→ Now work out the time
150 ÷ 60 = 2.5 hours
4x^2y^7(-7x^6z^9+2y^3+6z^3)
Answers
Answer:
-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³
Step-by-step explanation:
1) Distribute
4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)
-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³
Answer:
-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.
Step-by-step explanation:
4x^2y^7(-7x^6z^9+2y^3+6z^3)
Expanding:
= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.
A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the kite? how far away is the kite horizontally? answer to the nearest meter
Answers
Answer:
80 m High and 157 m away
Step-by-step explanation:
Cos(27)=x/176
x= 156.8 m
Sin(27) = y/176
y = 80