Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
A man stands on the shore 85m from a light house. When he looks at the top of the
lighthouse, the angle of elevation created is 44.. Calculate how tall the light house is and
explain how you found your answer. *
Answer:
ai ei tu 7uhg click uddog corruption it v if hug hug yeh uff ye eggQuien me puede ayudar es U R G E N T E The GCF of 54, 76 and 114 is: 2 6 4 9 1 The GCF of 35, 50 and 120 is: 2 4 5 25 2 Find the GCF of 12, 16 and 20 1 If the GCF of 56 and 120 is c, find the result of 24\div c24÷c
Responder:
a) 2
b) 5
c) 4
d) 3
Explicación paso a paso:
Debemos encontrar el MCD de los siguientes números
a) 54, 76, 114
encontrar los factores primos de cada
54 = 2 * 3 * 3 * 3
76 = 2 * 2 * 19
114 = 2 * 2 * 2 * 2 * 3 * 3
De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2
b) Para 35, 50 y 120
35 = 5 * 7
50 = 2 * 5 * 5
120 = 2 * 2 * 2 * 3 * 5
De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5
c) Para 12, 16 y 20
12 = 2 * 2 * 3
16 = 2 * 2 * 2 * 2
20 = 2 * 2 * 5
De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4
d) Para 56 y 120
56 = 2 * 2 * 2 * 7 = 8 * 7
120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5
De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.
Por tanto, c = 8
Necesario
24 / c
= 24/8
= 3
Por tanto, el resultado de 24 / c es 3
how many perfect squares less than 1000 are divisible by 8. Will pick brainliest if possible!!!!!!!!!!!!!
Answer:
30 (not including 1 because 1 is not BETWEEN 1 and 1000).
Step-by-step explanation:
82- 2to the third power.5 please help!
Answer:
240
Step-by-step explanation:
82-2= 80 to the third power so just multiply 80 x 3 and you have your answer.
Answer:
512000 (square root of it is 712.5)
Step-by-step explanation:
82 -2 = 80
80^3
= 80*80*80
= 80^3
= 512000 (square root of it is 712.5)
Let me know if this was helpful!!
Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Round to the nearest hundredth.
Answer:
197.82
Step-by-step explanation:
The formula for cylinder volume is
π * r^2 * h
r is radius h is height
3.14 * 3^2*7
3.14 * 9 * 7
28.26*7
197.82
The volume is 197.82
If angle 10 and angle 15 are congruent, which lines are parallel
Answer:
Line a is parallel with line b
Step-by-step explanation:
(Solving equations by addition)
Can somebody plz help answer these questions like what to solve it. Thanks :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST
what is the answer to 1/2d+6
Answer:
Step-by-step explanation:
What you gave, is an expression. There is no answer. The only thing that can be done is factor out the 1/2
[tex]\frac{1}{2}(d+12)[/tex]
(HELP PLEASE - URGENT)
The elevation of a sea animalis -20 meters.
Choose all elevations that are greater than the elevation of the sea animal.
A. 5 meters
B. -16 meters
C-40 meters
D. O meters
E.-22 meters
Answer:
5,0 and -16
Step-by-step explanation:
Answer:
A, B, D
Step-by-step explanation:
-20<5
-20<-16
-20>-40
-20<0
-20>-22
INTERESTING EXAMPLE #1: SIMPLE INTEREST
ha Audio Ineho's;
Kyra has been babysitting since 6th grade. She has
saved $1,000 and wants to open an account at the
bank so that she will earn interest on her savings.
Simple Bank pays simple interest at a rate of 10%.
QUESTION: How much money will Kyra have IN
TOTAL after one year, assuming she neither deposits
nor withdraws any money?
Answer:
3d4cf4tg6g6g5yfrr3
5
Step-by-step explanation:
rc4g5g6g5f4d4f
Answer:
She will have $2,200
Step-by-step explanation:
Im assuming shes getting paid interest every month.
10% of 1,000 is 100
So, when you mulitiply 100 times 12
You get 1,200
You add that to the original amount of savings
And she ends up with $2,200
Jeanne needed to buy 258 yards of fabric, if the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars?
Answer:
Step-by-step explanation:
1 yard is equal to 3 foot
10¢= 1 foot
30¢= 1 yard
30¢ x 258 yards= $77.40
You started the trail with 1400lbs. of food. You now have 1182lbs. of food. What percentage of your starting amount do you have left?
Answer:
84.5%
Step-by-step explanation:
1400 - 1182 = 218 You are less 218 lbs. of food.
218 ÷ 1400 = 15.5% You are less 15.5% lbs. of food.
100% - 15.5% = 84.5% You have 84.5% lbs if food left.
HELPPPPPPPPPPPPPPP MEEEEEEEEEEEEE
Answer:
About 4.5 units
Step-by-step explanation:
Please let me know if you want me to add an explanation
Expand and simplify
(x – 3)(2x - 2)
Answer:
2x^2 - 8x + 6
Step-by-step explanation:
2x*x+(-3x*2x)+(x*(-2))+6=
2x^2-8x+6
What rule is shown by this input/output table and coordinate plane?
A. add 3
B. subtract 2
C. divide by 3
D. multiply by 2
Answer:
add 3
Step-by-step explanation:
3+3=6 4+3=7 5+3=8
and on the graph when u graph them your answer is A.
Hope this helps:)
Which of the division expressions below has a remainder? Select all that apply.
A) 234 : 4
B) 1,350 = 9
C) 794 : 6
D) 812 : 8
E) 12,416 : 4
Answer: 8
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
What is the solution to the following system of equations:
7x+2y=24
8x+2y=30
Answer:
(6,-9)
Step-by-step explanation:
Answer:
x=6 y=-9
Step-by-step explanation:
Please help! image is below
Explanation = brainliest
Answer:
x=67.5ft
Step-by-step explanation:
similarity and congruence
the length of one side of the bigger triangle divided by the length of the similar side of the smaller triangle
equate the unknown ratio with a known ratio
71.5/49.5=97.5/x
x=(97.5 x 49.5)/71.5
x=67.5 ft
what is the answer for
k + 0 = k
Answer: k=1 which equals 1k.
Step-by-step explanation:
k+0=k
k is really 1k
so the real equation is 1k+0=1k because 1k+0 means nothing really it's still 1k.
- 28x + 18 = simplest form
Answer:
The answer is -2(14x - 9)
Step-by-step explanation:
Hoped this helped!
Sorry if this is wrong.
Isabella and her cousin Rodrigo have the same birthday but isabella is 15 years older than Rodrigo the equation y= x + 15 represents isabella's age y, when Rodrigo is x years old what is the answer?.
Answer:
The answer is below
Step-by-step explanation:
Isabella and her cousin rodrigo have the same birthday, but isabella is 15 years older than rodrigo is x years old. which table of value shows this relationship
Solution:
Let x represent Rodrigo's age and let y represent Isabella's age. Since Isabella is 15 years older than Rodrigo, hence her age is given by the equation:
y = x + 15
You can use a table to represent the relationship between their ages. Let us find the corresponding Isabella age for the following Rodrigo age.
Rodrigo: 10 20 30
Isabella: 25 35 45
When x = 10: y = x + 15 = 10 + 15 = 25
When x = 20: y = x + 15 = 20 + 15 = 35
When x = 30: y = x + 15 = 30 + 15 = 45
is this exponential growth or decay y=6e^-x
Answer: It's always decreasing/decaying.
Step-by-step explanation: To find if it is increasing or decreasing, graph the exponential problem.
1. Start at the top.
2. Look at the exponent.
The exponent is -x. Since negative means opposite/down, it goes down.Therefore, it's always decaying.
WORTH 58 POINTS HELP MEE PLEASE
Answer:
4:1
sorry if i'm wrong
Answer:
Step-by-step explanation:
54 ÷6= 9
the first one is 5:1
then take away 9
45- 9 = 36
36:9 = 4:1
A.42.6 square units
B. 128 square units
C. 32 square units
D. 64 square units
Answer:
Step-by-step explanation:
D. 64 square units
Darius and Khadija are learning to play chess. Darius's ratio of wins to losses is 5 to 13. Khadija's ratio of wins to losses is 3 to 9. Who has the better winning record?
Answer:
Darius
Step-by-step explanation:
Darius has played a total of 18 games so divide that by the five wins and you can see how many wins he would get on average wich is 0.28. Khadija won 3 out of 12 games so he/she has 0.25 average
What are TWO different ways you know when you are finished dividing?
PLZ HELP I WILL GIVE YOU BRAINLIEST!
pls help me i need to write this for an exam
Describe how you determine the sign of the sum,difference,product,and quotient of two integer numbers
Answer:
i would ask someone else sorry
Step-by-step explanation:
Simplify the radical: √80
Answer:
4√5
Step-by-step explanation:
if this isnt the answer u needed lmk!!
7 times m help helpp
Martha rented a sedan at a cost of $21.25 a day for three days. She drove 980 miles at 25 cents a mile. Gas cost $63.45 what was the cost per mile
Answer:
38 cents per mile
Step-by-step explanation:
Let us first calculate the total expenditure by Martha
= 21.25*3= $ 63.75
Cost of gas =$ 63.45
Therefore cost per mile = 127.2/980= 0.1297+0.25= $0.3797 or 38 cents per mile
