Let the length of the map be L Cm.
Hence, L = 37.5 Cm
Now, Let the width of the map be B.( Breadth )
Now, we know that perimeter of a rectangle
= 2 ( L + B )
According to the question–
125 = 2 ( L + B )
{ Putting the value of L we get }
Or, 125 = 2 ( 37.5 + B )
Or, 125/2 = 37.5 + B
Or, 62.5 = 37.5 + B
Or, 37.5 + B = 62.5
Or, B = 62.5 – 37.5
Or, B = 25 Cm
Therefore, the Width of the rectangle is 25 Cm.
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
4. Over what interval is the function shown in the
table decreasing?
Answer:
The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Step-by-step explanation:
what is the area for a radius of 8 mm
Answer:
A= 201.06
Step-by-step explanation:
A = pi r^2
A = pi x 8 x r^2 = 201.06
Pls help asap i have to turn in in 30 minutes will give brainliest
Natalie is making 1 1/2 the brownie recipe.The recipe calls for 2 1/2 cups of sugar.How many cups of sugar should she use?Pls hurry or i get 0%
Side 1: 3x2 - 2x - 1
Side 2: 9x + 2x2 - 3
The perimeter of the triangle is 5x3 + 4x2 - x - 3.
Part B: What are the degree and classification of the expression obtained in Part A? (2 points)
Answer:
Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]
Step-by-step explanation:
Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:
[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]
[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]
[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]
Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.
Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:
[tex]l_{3} = p - l_{1} - l_{2}[/tex]
[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]
[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]
[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]
Answer:
Part A; Total length of side 1 and 2 = 5·x² + 7·x - 4
Part B; The degree of the polynomial is 2
The classification of the polynomial is a trinomial quadratic equation
Part C; 5·x³ - 4·x² - 6·x + 2
Step-by-step explanation:
The length of the sides of the rectangle are;
Side 1: 3·x² - 2·x - 1
Side 2: 9·x + 2·x² - 3
The perimeter of the rectangle is 5·x³ + 4·x² - x - 3
Part A
The given expression for the sides of the rectangle are;
Side 1: 3·x² - 2·x - 1
Side 2: 9·x + 2·x² - 3
The total length of side 1 and side 2 is given by add ing the given expressions as follows;
Total length of side 1 and 2 = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4
Part B
The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation
Part C
Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;
The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)
The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)
The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)
The length of the third side = 5·x³ - 4·x² - 6·x + 2
PLEASE HELP ASAP I WILL MARK BRANLIST!!!!!!
Of 10 test scores, six are less than or equal to 82 What is the percentile rank of a test score of 82?
The percentile rank of 82 is…
Answer:
60% of the test scores are less than or equal to 82
Step-by-step explanation:
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
PLS HELP QUICKLY!!! Choose the definition for the function.
s-x+ 2 x <1 S-x+ 2 x > 1
a. y =
x + 1 x 1
c. y =
1 x + 1 x < 1
1-X + 2 XS 1
d. y =
{-x+ 2 x 2 1
x > 1
x + 1 x < 1
b. y = {x+1
{** 2 *si
Enter
Answer:b
Step-by-step explanation:
The requried function represented in the graph is given as y = [-x + 2, x<1] and y = {x + 1, x ≥ 1} Option A is correct.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The equation of the function shown in the graph is given as,
y = [-x + 2, x<1]
y = {x + 1, x ≥ 1}
Thus, the requried function represented in the graph is given as y = [-x + 2, x<1] and y = {x + 1, x ≥ 1} Option A is correct.
Learn more about graphs here:
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In a box containing 20 cans, 12 of the cans contain vegetables. In the box, 5 of the cans are dented, with 2 of the dented cans containing
vegetables
What is the probability that a randomly selected can in the box is dented or contains vegetables?
OA 65%
OB. 75%
OC. 95%
OD 85%
Answer: B.) 75%
Step-by-step explanation:
12 cans contain veggies and 5 cans are dented, since two of the dented cans contain veggies don't count those two. This means you'll add 12 and 3 which equals 15. 15 out of 20 is an example of three fourths or 75%.
The three inside angles (A,B and C) of a right-angled triangle are in the ratio 7:18:11. Th smallest angle is 35. Work out angles A, B and C
Answer:
<A = 35degrees
<B =90degrees
<C = 55degrees
Step-by-step explanation:
Given the ratios of a triangle as 7:18:11
Total ratio = 7+18+11
Total ratio = 36
Since the smallest angle is 35degrees, hence <A = 35degrees
Get angle B;
<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)
<B = 1/2 * 180
<B = 90degrees
Get angle C;
<C = 11/36 * 180
<C = 11 * 5
<C = 55degrees
Hence the value of A, B and C are 35, 90 and 55 degrees repectively
HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...
Trust me, you're not the only one who's bad at math. '-'
Please help me with this i didn’t get the answer
Pls pls help me !!!!
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
A 2-gallon jug of juice costs $10.88. What is the price per cup?
Answer:
it's ¢.34
Step-by-step explanation:
a gallon has 16 cups
since there are two gallons that's 32
the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34
Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]
Consider a sphere with a volume of 36,000 π cubic centimeters.
Find the radius of the sphere. Be sure to use the correct unit in your answer.
Answer:
30 cm
Step-by-step explanation:
[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]
Luka buys 210 coat hangers.
The coat hangers are sold in boxes.
There are 35 coat hangers in each boz.
Each box of coat hangers costs £19.50
Work out the total cost of the boxes of tiles Luka buys.
Answer:
$117
Step-by-step explanation:
[tex]210 \div 35 = 6[/tex]
[tex]19.50 \times 6 = 117[/tex]
vertex of the graph of x^2 + 8x + 12=0
Answer:
Step-by-step explanation:
Hope this helps u!!
Find x and y, when AB and MN are similar
Please I need your help quickly
Answer:
x is 5 but sorry I can't Find the value of y
Answer:
y=3
x=5
Step-by-step explanation:
it's similar so CN =NB
that means y=3
so MN=AB
x=5
nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey
Answer:
B. 50 students in her school
Step-by-step explanation:
Every other answer is at a seperate place designed to help someone in a specific field, besides the school.
The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A
A cylinder with height 5 inches and diameter 7 inches.
Container B
A cylinder with height 6 inches and radius 3 inches.
Container C
A cylinder with height 12 inches and B = 11.14 inches squared.
Container D
A cylinder with height 10 inches and diameter 6 inches.
container A
container B
container C
container D
Answer:
only option less than $3 is (C)
Step-by-step explanation:
Volume(cylinder) = πr²h or Bh
I used the guess-and-check method and got the following:
A) 3.85
B) 3.39
C) 2.67
D) 5.65
If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?
Please answer asap.
Answer:
15
Step-by-step explanation:
To find the area of an triangle use the formula BH(1/2) in this case
The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15
Tell me if I'm wrong if not
Hope this helped :]
The height of the triangle is 15 centimeters.
Given the following data:
Area of a triangle = 15 cm squaredBase of a triangle = 2 cmTo find the height of the triangle:
Mathematically, the area of a triangle is given by the formula;
[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
Substituting the values into the equation, we have;
[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]
Height = 15 cm
Therefore, the height of the triangle is 15 centimeters.
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PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?
weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm
Answer:
Week 4, 1400
Brainliest plz
Step-by-step explanation:
Answer:
Week 3 and 900 cm
Step-by-step explanation:
Brainliest Please!
The box plot below represents some data set. What percentage of the data values are less than 46?
Answer: 25%
Step-by-step explanation:
Evaluate the expression and identify any domain restrictions. Use order of operation.
Answer:
Its in the picture so you can understand it better.
Step-by-step explanation:
Find the values of x and y. Write your answers in simplest form.
Answer:
To find X you'll need this formula Tan 30, and this one to find y cos 30.
Step-by-step explanation:
tan 30 = 9 / x.
tan 30*x = 9
x = 9 / tan 30
x = 15.58
To find y, the value of X will be needed, which is 15.5 that we just found.
Cos= A/H
Cos 30 = 15.58/ y
Cos 30 * y = 15.58
y = 15.58/ cos 20
y = 17.99
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?
O4
O 20
O 100
O 200
Answer:
20
Step-by-step explanation:
2 x 10 = 20
divided by 4 = 5
The larger pool will hold is 100 times more gallons than the smaller pool
What is capacity and measurement?From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool
From the given information,
Capacity of the larger pool = 2 × 10¹⁰ gallons
Capacity of the smaller pool = 2 × 10⁸ gallons
To determine how many times more gallons the larger pool holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool
That is,
[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]
= 10²
= 100
Hence, the larger pool will hold is 100 times more gallons than the smaller pool.
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I need it today please
Answer:
$207.66
Step-by-step explanation:
30% off is the same as saying there is 70% not off, and 70% is the same as 0.70
0.70*349= 244.30
15% off is the same as saying 85% is not off, and
85% is the same as 0.85
0.85*244.30=207.655
because it's money, you round to 2nd decimal place
$207.66
hope this was helpful :)