Answer:
h = 3 sqrt(21)
or
h = 13.75
Step-by-step explanation:
The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.
FK = 60/4 = 15 feet.
Now you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = height or = h
c = 15
6^2 + b^2 = 15^2
36 + b^2 = 225
b^2 = 225 - 36
b^2 = 189
sqrt(b^2)= sqrt(189)
b = sqrt(3 * 3 * 3 * 7) You can take out the square of 3 * 3 and make it 3.
b = 3 * sqrt(3*7)
b = 3 * sqrt(21)
Determine the rate the airplane
needs to travels to fly 2000 miles
in 5 hours
Answer:
the airplane needs to travel 400 mph to reach 2000 miles in 5 hours
Will give brainliest answer
Answer:
EquivalentNot equivalentEquivalentStep-by-step explanation:
For [tex]3^5^m[/tex]:
Just like [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex], [tex]3^5^m[/tex] equates to [tex]243^m[/tex].
For [tex]81^m[/tex]:
[tex]81^m[/tex] does not equate to [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex].
For [tex]9^{2.5m}[/tex]:
After applying the exponent rule to the equation, it came out to [tex]9^{2.5m}[/tex].
An airport shuttle runs between terminals every 4 minutes with a fixed capacity of passengers. 250 people were in line as of 9:00 am. After the 29th shuttle trip departed, 424 people were in line. If 6 people per minute got in line after 9:00 am, what is the passenger capacity of the shuttle?
Answer:
18
Step-by-step explanation:
424-250 = 174
174/29 = 6
This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18
I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line
ANSWER QUICK 75 POINTS!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: 3(2+9x)
Line 2: 3(9x+2)
Line 3: 27x+6
Line 1 to Line 2:__________
Line 2 to Line 3:__________
Answer:
Line 1 to Line 2:Commutative property of addition
Line 2 to Line 3:Distributive property
Step-by-step explanation:
Line 1: 3(2+9x) Given
Line 2: 3(9x+2) Commutative property of addition
Line 3: 27x+6 Distributive property
Answer:
Line 1-Line 2=Commutative property
Line 2-LIne 3=Distributive property
Step-by-step explanation:
Lets solve
[tex]\\ \rm\longmapsto 3(2+9x)[/tex]
Commutative Property[tex]\\ \rm\longmapsto 3(9x+2)[/tex]
Distributive property[tex]\\ \rm\longmapsto 27x+6[/tex]
plz help brainiest to whoever right
Answer:
(1/2)hb = Area of Triangle
s^2 = Area of Square
lw = Area of Rectangle
4s = Perimeter of a Square
2l + 2w = Perimeter of a Rectangle
a + b + c = Perimeter of a Triangle
What’s 4,708.06 rounded to the nearest thousand?
Answer:
when rounding anything that is or is greater than 5 you round up 1.
4,->7<-08.06
so rounding up 1, 4 would turn into 5.
Write 7,08 x 10" in standard notation
Answer:
70.8
Step-by-step explanation:
7.08×10 is 70.8
...............
Solve w = 9x + 5 y for y
Answer:
w-9x/5=y
Step-by-step explanation:
w=9x+5y
subtract 9x from both sides
w-9x=5y
divide by 5y
w-9x/5=y
Eunice buys dog bed with a listed price of $31. Eunice uses a sale that provides 30% off. What is the total
final price Eunice pays?
A. $21.70
B. $23.70
C. $25.55
D. $28.10
Answer:
21.70
Step-by-step explanation:
First find the discount
31 * 30%
31 *.30
9.3
Subtract from the original amount
31 - 9.3
21.70
a retailer allows is 15% discount on the mp of electric fan if a customer pays rs 2244 with 10% vat find the mp of the fan
Answer:
LetmarkedPricebeRsxofelectricfan
∴9%discountonxRupees
andchargestocustomeris728rupees
∴x−1009x=728,10091x=728,91x=728×100,x=756×100=800rupees
Step-by-step explanation:
MP of the fan is 2400.
To find the mp of the fan.
What is profit and loss?To buy goods from the shopkeepers in the market which they buy either directly from the manufacturers or through the wholesalers.
Given:
let’s calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
Now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
So, the MP of the fan is 2400.
Learn more about profit and loss here:
https://brainly.com/question/24431998
#SPJ2
please help me solve that question
Answer:
i). 14/75 or 19%
ii). 2/25 or 8%
Step-by-step explanation:
i). Using the combinations formula if repetition is allowed
If n choose r,
(r+n-1)!/r!(n-1)!
Where n is the things we have to pick from and r is the objects we want. We want 2 objects and we have 24 objects to pick from.
So our equation will be
(2+24-1)!/2!(24-1)!
(25)!/2!(23)!,
This gives us 300. So there is 300 possible combinations.
Since we have two independent events, we can multiply two events and divide it by 300 to find the probability.
i) There is 14 good defects and 4 major defects so
[tex] \frac{14 \times 4}{300} = \frac{56}{300} = \frac{14}{75} [/tex]
So the probability is 14/75 or 19%
ii) We can do the same thing in question 1
There is 6 minor defects and 4 major so
[tex] \frac{6 \times 4}{300} = \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]
So this means the probability is 8% or 2/25
One positive number is 5 more than twice another. If their product is 1827, find the numbers.
smaller number =
larger number =
9514 1404 393
Answer:
smaller: 29larger: 63Step-by-step explanation:
If we let x and y represent "one number" and "another", respectively, then the given relations are ...
x = 5 +2y
xy = 1827
Substituting for x gives a quadratic in y:
(5 +2y)(y) = 1827
2y^2 +5y -1827 = 0 . . . . . written in standard form
We can use the quadratic formula to find the positive value of y that satisfies this:
y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29
x = 5 +2(29) = 63 . . . . using the above expression for x
The smaller number is 29; the larger number is 63.
Define a variable and write an inequality for each problem. Then solve.
15. Nineteen more than a number is less than 42.
16. The difference of three times a number and 16 is at least 8.
17. One half of a number is more than 6 less than the same number.
18. Five less than the product of 6 and a number is no more than twice that same number.
Answer:
15) n+19<42
16) 3n-16 (less or equal) 8
17) n/2 > n-6
18) 6n-5<2n
Step-by-step explanation:
How long will it take a car that is travelling with a speed of 45m/s to travel a
distance 500m?
Answer:
time=distance/speed
time=500/45
time=11.11 sec
Answer:
11 1/9 seconds = time
Step-by-step explanation:
We know that
Distance = rate * time
500 m = 45 m/s * time
Divide each side by 45
500/45 = time
11 1/9 seconds = time
I need some help with this. how many beats per minute?
The bottom row x axis) is seconds and goes to 6 seconds
Each peak is a heartbeat, there are 9 in the 6 seconds.
A minute is 60 seconds.
60 seconds / 6 seconds = 10
9 beats every 6 seconds x 10 = 90 beats per minute.
The heart rate is 90 beats per minute
A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.
Answer:
Step-by-step explanation:
$211000 are 100% - 58% = 42% of the (former) income.
Therefore, 1% is 42 times less: 211000/42 = 5023.81,
and the (former) income was 100 times this value, i.e. GHC 502381.
Daria needs to fill 4 gift baskets equally with bags of candy and boxes of cookies. She has 12 bags of candy and 8 boxes of cookies and wants to give all of them away.
Which expression should be used to determine the total number of bags of candy and boxes of cookies she will place in each basket?
A. (12 + 8) times 4
B. 12 + (8 divided by 4)
C. (12 divided by 4) + (8 divided by 4)
D. (12 + 8) divided by (8 + 12)
Answer:
C
Step-by-step explanation:
hope it helps!!!!!!!!
The graph below represents the number of books Jaleel has read over the past x weeks.
Books Read
A graph with weeks on the x-axis and number of books on the y-axis. A line goes through points (0, 3), (1, 4), and (2, 5).
Which equation represents the graph?
y = x + 3
y = 3x
y = x – 3
y = one-third x
Answer:
y + x + 3
Step-by-step explanation:
each point adds an additional 3
B is your answer
Simplify. 2–3 Write your answer in the form a+b.
Answer:
2 + -3
Step-by-step explanation:
2 - 3 in the form a + b is:
2 + -3
where a = 2
and b = -3
The table below shows the price of rolls a bakeryA baker's dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker's dozen instead of 13 individual rolls? Please help
9514 1404 393
Answer:
(b) $0.60
Step-by-step explanation:
The cost is proportional to the number of rolls. It is $3.60/(6 rolls) = $0.60/roll. When you buy a Baker's Dozen, you save the cost of one roll: $0.60.
it's 0.60
have an nice nice nice nice day
Solve equation by factoring.
Hi ;-)
[tex]x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4[/tex]
Evaluate the expression below
Step-by-step explanation:
6(4+8)
24+48
72 Answer
hope it helps
Answer:
6(x+8)
when the value of x we s equal to 4, then
6(4+8)
Now, by adding 4 and 8, we get
6(12)
6×12
Now, by multiplying 6 and 12, we get
72
Helppppp plzzzzzzz!!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Answer:
slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.
Step-by-step explanation:
Solve equation by completing the square.
Answer:
x=3 and x=5
Step-by-step explanation:
x2−8x+15=0
To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−8ab=15
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.
−1,−15−3,−5
Calculate the sum for each pair.
−1−15=−16−3−5=−8
The solution is the pair that gives sum −8.
a=−5b=−3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−5)(x−3)
To find equation solutions, solve x−5=0 and x−3=0.
x=5x=3
hope it helps :)
Emmet went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Emmet pick each mile?
Write your answer as a proper fraction or mixed number.
Answer:
16 2/3 ounces
Step-by-step explanation:
Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile
HELP PLEASE!!!!
What is the slope of the line?
Answer: slope (m) = - 9/5
Step-by-step explanation:
Find two points = (-4,5) (1, -4)
The slope going uphill is positive and downhill is negative.
Slope m = (y-y)/(x-x)
(5- -4)/-4-1 = - 9/5
Also, start in one point go straight up or down counting, and then go left or right to the other point counting.
i need a little help here, im struggling rnn
Answer:
-7, -11
Step-by-step explanation:just count down and up how many steps
Julie and Shawna ordered a pizza. Julie ate 3/8 of the pizza and Shawna ate 5/16 of the pizza. Who
ate more of the pizza? Justify your answer with work or an explanation.
Rewrite the expression in the form b^n b^10÷b^6=
Answer:
[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]
I hope I helped you^_^
what is the range of the numbers 5,9,7,2,2
Answer:
7 is the answer hope this helps