Answer:
The perimeter of rectangle is 48 cm.
Step-by-step explanation:
First, you have to form an expression for the length and the width. Let x be the width :
width = x cm
length = 3 × x = 3x cm
Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :
A = length × width
108 = 3x × x
3x² = 108
x² = 108 ÷ 3
x² = 36
x = √36
x = 6 cm
Lastly, you have to find perimeter :
length = 3 × 6 = 18 cm
width = 6 cm
Perimeter = 2(length + width)
P = 2(18 + 6)
P = 2(24)
P = 48 cm
Answer:
48cm
Step-by-step explanation:
Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8
Help me please, I want the answer only.
Answer:
6 I guessed by looking at the equation
Step-by-step explanation:
Sorry if wrong
PLS HELP ME!!! FIND X
Answer:
17.5
Step-by-step explanation:
Those angles are supplementary, in other words, they add up to 180°
To solve you set the expressions up to 180:
(5x - 30) + 7x = 180
12x - 30 = 180
12x = 210
x = 17.5
6,541 round to the nearest thousand
Answer:
its 7,000
Step-by-step explanation:
its 7,000 because the 5 in the hundreds place is 5 or higher so any that is higher then 5 you add a 1 to the number you rounding and you take it over to the next column.
The historical walking tour of a town covers a total distance of 5 miles. The map shows that the path of the tour travels 3 inches north, 4 inches east, 2 inches south, and 1 inch west. How many miles does each inch on the map represent?
0.2 miles
0.5 miles
2 miles
10 miles
Answer:
0.2 miles
Step-by-step explanation:
Please help quick! I will give brainliest
Answer:
1. A
2. B.
3. 2^3 or 8
4. C.
Step-by-step explanation:
use mathaway
Solve the equation, and check the solution. w/3 = 0.9 (The w is a variable for the fraction)
Answer:
w = 2.7
Step-by-step explanation:
To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.
The polynomial x^2 + 9 is a factor of x^5 + x^4 - 18x - 18. Please select the best answer from the choices provided T or F
Answer:
F
Step-by-step explanation:
there are 20 girls and 16 boys in a classroom. complete the table of ratios below.
Answer:
The ratio of boys to girls is [tex]\frac{16}{20}[/tex]
The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Boys to girls:
There are 16 boys and 20 girls.
So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]
Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
Girls to total students
There are 20 girls and 20 + 16 = 36 total students.
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
Yesterday, there were 80 problems assigned for math homework. Jenna did 45% of them correctly. How many problems did Jenna get right?
Answer:
36 questions was answered correctly
Step-by-step explanation:
80 x .45 = 36
Hope this helps
Have a great day :D
Sarah made 5 gallons of punch for her family reunions if each serving is 1/16 gallon how many servings is this?
A. 75
B. 50
C. 80
D. 3 1/5
Answer:
С) 80
вот правильный ответ
Find the angle between the given vectors to the nearest tenth of a degree.
u = 6, -1, v = 7, -4
20.3°
10.2°
0.2°
30.3°
Answer:
20.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
u=6i-j
v=7i-4j
u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.
(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α
(6)(7)+(-1)(-4)=√37√65 cos α
42+4=√37√65 cos α
[tex]\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ[/tex]
The length of a rectangular frame is 15 inches, and the width of
the frame is 9 inches. What is the length of the diagonal of this
frame in inches?
Please help
Answer:
Step-by-step explanation:
Which is the complete factored form of 2 x 3 - 10 x2–2x+10?
Answer:
The answer is -2( x + 2)
Step-by-step explanation:
Factor the polynomial.
Hoped this helped!
Brainly, Please?
The complete factorization of the given polynomial is 2(x-5)(x+1)(x-1).
The given polynomial is 2x³-10x²-2x+10.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The factorization of the given polynomial is as follows:
2x³-10x²-2x+10
= 2x²(x-5)-2(x-5)
= (x-5)(2x²-2)
= 2(x-5)(x²-1)
Now, x²-1=(x+1)(x-1) (∵(a²-b²=(a+b)(a-b))
So, 2(x-5)(x+1)(x-1)
Therefore, the complete factorization of the given polynomial is 2(x-5)(x+1)(x-1).
To learn more about the factorization of polynomial visit:
https://brainly.com/question/16789195.
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1. In Mrs. Taylor's English class, 12 of the 21 students received a B on their
essay. What percent of students earned a B?
Answer:
57.1% (to 3 s.f.)
Step-by-step explanation:
12/21 *100
Please can someone work out JUST B CALCULATE AN ESTIMATED FOR THR MEAN PLS!! I have only 5 mins till I had it in. 10 point!!!!
is a set that is contained in a larger set.
Answer:
I- What? yes?
Step-by-step explanation:
The perimeter of a triangle whose sides are 4z units, 10 units, and 15 units
Answer:
29
Step-by-step explanation:
Finding the perimeter consists of adding all sides together. thus 4+10+15=29
The perimeter of a triangle whose sides are 4z units, 10 units, and 15 units, 29 units
What is the perimeter?Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.
Perimeter = Sum of length of the all the sides
Given that,
The length of sides,
4 units
10 units
15 units
Perimeter = ?
Perimeter = Total sum of lengths of sides
= 4 + 10 + 15
= 29 unit
Hence, the perimeter is 29 unit
To know more about Perimeter check:
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Cuanto es 69 dividido entre 87647
I need help with this to I just want to make sure I’m right or wrong.!
Answer:
the answer is D
Step-by-step explanation:
PLS HELP GIVING BRAILESS TO FIRST PERSON PLS HELP ASAP
Determine which is the better buy.
1 kilogram of for $2.06 or 4 kilograms of for $7.48
PLZ EXPLAIN
Answer:
the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24
Can someone tell me the answers ?
Answer: The first one is nonlinear, the second is nonlinear, and the third is linear.
Step-by-step explanation: The first one is nonlinear because when you calculate slope you get different numbers.
7-4/2-1 = 3/1= 3
4-3/1-0= 1/1= 1
Also when you graph it, it does not become a line. I can attach an image for evidence (Credits to other person who answered and commented on my answer thanks for finding my mistake.)
The second one has an exponent on the x, so it is not linear.
The third is a line so it is linear.
Answer:
Nonlinear, Nonlinear, Linear
Step-by-step explanation:
For if you graph 1 and 2 you will see both are not increasing evenly like a straight line, only the graph 3 shows a linear line.
please help me!!!!! its due tonight!!!!!!
Answer:check explanation below
Step-by-step explanation:
Okay so for Part A: since B is the midpoint of SM, SM=SB+BM. Therefore, you can set them both equal to each other which would be 4x=98.3. You divide both sides by 4 to get the value of x which is 24.575. Now you substitute 24.575 back into 4x and you get 98.3. Since SM=SB+BM, you do 98.3+98.3 and SM=196.6.
Part B: For part b you do the same thing as A to find the values of x y and x. You already know that x=24.575. For Y, since T is the midpoint of DS you can set ST=TD. This means that 123.4=2/5y. When you solve for y you get y=308.5. Lastly, for z since N is the midpoint of MD, MN=ND. So 102=7/10z. When you solve for z you get approximately 145.7. Now you just add them together -- 24.575+308.5+145.7= 478.775.
Part C: NT is half of SM. Since SM is 196.6, NT is 98.3. TB is half of MD. MD is 203.99 so TB is 101.995. BN is half of SD. SD is 246.8 so BN is 123.4
So, NT+TB-BN is 98.3+101.995-123.4 which equals 76.895
In a class with 28 students, there are 19 boys. What is the ratio of girls to boys? 9:19 19:28 19:9 28:9
Answer:
9:19
Step-by-step explanation:
Total number of students = 28
Number of boys = 19
Number of girls = Total number of students - Number of boys = 28-19 = 9
Therefore, ratio of girls to boys = Number of girls/Number of boys = 9/19 = 9:19
Answer: 9:19
Step-by-step explanation: The total number of students is 28.
Subtract the number of boys, 19
28 - 19 = 9 girls
Use those numbers for the ratio.
girls:boys
9:19
Find the value of the power.
(1/8)^3 =
Answer:
1/512 or 1/8^3
Step-by-step explanation:
A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.2 3 5 7 11 13 17 19 23 29 3137 41 43 47 53 59 61 67 71 73 7983 89 97Choose one of these numbers at random. Find the probability thata. The number is odd b. The sum of the digits is odd c. The number is greater than 70
Answer:
a. 0.96 = 96% probability that the number is odd.
b. 0.48 = 48% probability that the sum of the digits is odd.
c. 0.24 = 24% probability that the number is greater than 70.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We are given the prime numbers less than 100, they are:
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
There are 25 prime numbers less than 100.
a. The number is odd
Of the 25, 24 are odd, only the number 2 is even. So
24/25 = 0.96 = 96%
0.96 = 96% probability that the number is odd.
b. The sum of the digits is odd
The sum of the digits is odd for:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them
12/25 = 0.48 = 48%
0.48 = 48% probability that the sum of the digits is odd.
c. The number is greater than 70
71, 73, 79, 83, 89, 97. 6 of them
6/25 = 0.24 = 24%
0.24 = 24% probability that the number is greater than 70.
A) The probability that one of the numbers is odd is; 96%
B) The probability that the sum of the digits is odd is; 48%
C) The probability that the number is greater than 70 is; 25%
We are given the prime numbers;
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
This is a total of 25 prime numbers.
Thus; N = 25
A) The number of odd numbers are 24.
Thus,probability of selecting an odd number is;
P(odd number) = 24/25
P(odd number) = 0.96 or 96%
B) The numbers that their sum is odd are:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89
Kindly note that the single numbers are added to zero to make them odd too.
Thus there are 12 of them that their sum are odd.
P(sum is odd) = 12/25
P(sum is odd) = 0.48 or 48%
C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.
Thus;
P(number is greater than 70) = 6/25
P(number is greater than 70) = 0.25 or 25%
Read more about probability of selection of numbers at; https://brainly.com/question/251701
What is the smallest whole number to the right of 3.52?
Convert 6.3 m to millimeters
Hi. 6.3 meters to millimetres is 6300
Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box