The length and the width of the base of the square monument are both 52.625 feet.
Explanation:The question is asking for the dimensions of the base of a monument that has a rectangular shape and a total perimeter of 210.5 feet. Given that the length and width are the same (as it's a square), this implies that both the length and the width of the square are each half of the total perimeter.
We start by dividing the perimeter by 4, as the perimeter of a square is the sum of all four of its sides. So, the length or width of the base of the monument is 210.5 ft / 4 = 52.625 ft.
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Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth
The perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2) is approximately 14.47 units when rounded to the nearest hundredth.
To find the perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2), you first need to calculate the length of each side of the triangle formed by these points. You can do this by using the distance formula:
[tex]d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
For side XY:
d(XY) = [tex]\sqrt(3 - (-1))^2 + (0 - 3)^2}[/tex]
[tex]\sqrt{{16 + 9}[/tex]
[tex]\sqrt{{25}[/tex]
= 5
For side YZ:
[tex]d(YZ) = \sqrt{((-1) - 3)^2 + (-2 - 0)^2}[/tex]
[tex]\sqrt{{16 + 4}[/tex]
[tex]\sqrt{{20}[/tex]
= 4.47
For side ZX:
[tex]d(ZX) = \sqrt((-1) - (-1))^2 + (3 - (-2))^2}[/tex]
[tex]= \sqrt{0 + 25}[/tex]
= 5
Now, sum the lengths of the sides to get the perimeter:
Perimeter
= d(XY) + d(YZ) + d(ZX)
= 5 + 4.47 + 5
= 14.47
So, the perimeter of the polygon is approximately 14.47 units, rounded to the nearest hundredth.
Lena was playing a card game. She placed the cards in 2 rows of of 26 cards each. In which other way can Lena place all of the cards?
1- 15 rows of 4 cards each
2-13 rows of 4 cards each
3- 18 rows of 3 cards each
4- 16 rows of 3 cards each
Thank you
Another way in which the cards Can be placed is 13 rows of 4 cards each.
The total Number of playing cards in a deck = 52
In other to place equal number of cards in a number of rows;
The product of the Number of cards per row and the number of rows must be equal to 52.Evaluating the options given :
15 × 4 = 60 (False)
13 × 4 = 52 (True)
18 × 3 = 54 (False)
16 × 3 = 48 (False)
Hence, the other way in which the cards Can be placed is 13 rows of 4 cards each.
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X + 5 = 8 Justify each step. Check the solution.
Answer:
X = 3
Step-by-step explanation:
to answer this question you must isolate the X. Meaning you must get it by itself.
To get the x by itself you must minus 5 from BOTH sides. This will get the x by itself. That will be your answer
X = 3
The height of an airplane during a landing is given by 22,000+(−480t) where t is the time in minutes.
a. Complete the table.
Time (minutes) 5 10 15 20
------------------------------------------------------
Height (feet)
Please help!
What three factors were used to create this product game board
PLZ HELP ME BY TONIGHT AT 12:30 ITS DUEEE
ps/ plz answer ALLL the questions
What is the mean of 18.1, 17.9, 16.8, 18.7, 15.1
A) Graph the following two lines on the same rectangular coordinate system. Show all your working. You need to use the slope-intercept method.
Graph A: 3x+2y=12 Graph B: 4x-y=5
B) Mark the point intersection of the two graphs M, and give coordinates.
C) What is the difference in units between the Y-coordinates of Graph A and Y-coordinates of Graph B?
E) Draw the graph x-=6 on the same set of axes. At which point does this line cut Graph A?
Help me please.Questions are below.I know there's a lot of questions but I need help.
I'll give 35 points.
1.Write an algebraic expression for each word expression:
6 more than a number p
2.Solve: a/8 = 13 a = _____
3.Solve: 96 = 12b b = _____
4. Solve: c/9 = 2.3 c = _____
5. Solve: 5.2 = d/6 d = _____
6.Solve: 0.74h = 0.74 h = _____
7. Solve: k/0.38 = 1 k = _____
8.Solve: 27.4n = 0 n = _____
9. Solve: 0.4w = 3.12 w = _____
10. Solve: a/4.2 = 0 a = _____
1. p+6
2.a =13*8 = 104
3.b = 96/12 = 8
4.c= 2.3*9 = 20.7
5.d = 5.2*6 =31.2
6. h = 0.74/0.74 = 1
7. k = 0.38*1 = 0.38
8. n = 0
9. w = 3.12/4 = 7.8
10. a = 0
The record high January temperature in Austin, texas, is 90°f. The record low January temperature is -2°f. Find the differences between the high and low temperature.
Which represents the solution set of the inequality 5x-9≤21
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]5x-9\leq 21[/tex]
solve the inequality
[tex]5x\leq 21+9[/tex]
[tex]5x\leq 30[/tex]
[tex]x\leq 30/5[/tex]
[tex]x\leq 6[/tex]
The solution is the interval----------> (-∞,6]
All real numbers less than or equal to [tex]6[/tex]
The solution of the inequality is the shaded area to the left of the solid line
see the attached figure
Read the problem in the box below. Make a list to help you find the correct answer.
Write an inequality that is true only for temperatures (t) that are higher than the boiling point of water.
The National Safe Kids Campaign and Bell Sports sponsored a study that surveyed 8,159 children ages 5 to 14 who were riding bicycles. Approximately 2/5 of the children were wearing helmets, and of those, only 13/20 were wearing the helmets correctly. About how many of the children were wearing helmets correctly?
Final answer:
To find the number of children wearing helmets correctly, multiply 2/5 by 8,159 to get the number of children wearing helmets, then multiply that result by 13/20 to get the number of children wearing helmets correctly, which is approximately 2,134.
Explanation:
The student's question involves mathematical computations to determine how many children were wearing helmets correctly out of a surveyed group. The data provided indicates that 2/5 of the 8,159 children were wearing helmets, and out of those, 13/20 were wearing the helmets correctly. To calculate the exact number of children wearing helmets correctly, we should perform the following steps:
Calculate the number of children wearing helmets: (2/5) × 8,159 = 3,263.6, which we can round down to 3,263 children, since we cannot have a fraction of a child.
Calculate the number of children wearing helmets correctly: (13/20) × 3,263 = 2,134.95, which we can round down to 2,134 children wearing helmets correctly.
Therefore, approximately 2,134 children were wearing helmets correctly.
What's the difference of 9(2k-4) and -2(7k-12)
The floor of a small foyer will be made from square tiles.Each tile has a side length of 8 inches.Ifthe detentions of the floor are 24 inches by 48 inches, how many ceramic tiles are needed?
Floor: 24 * 48 = 1152 square inches
Tile: 8^2 = 64 square inches each
1152/64 = 18
18 tiles are needed
If a bat and ball costs $1:10
And the bat costs $1 more than the ball
How much does the ball cost?
4. Describe the number set(s) the number belongs to: −√17
The number -√17 is an irrational number and is part of the set of real numbers.
Explanation:The number -√17 belongs to the set of real numbers. However, because this number is the square root of a positive number (17) and is multiplied by negative sign, it is not a rational number, but rather an irrational number.
It is part of the real numbers because the set of real numbers includes all numbers that can be plotted on a number line, including integers, rational numbers (numbers that can be expressed as a quotient of two integers), and irrational numbers (numbers that cannot be expressed as a quotient of two integers).
It is specifically an irrational number because the square root of 17 is a non-repeating, non-terminating decimal, and when we multiply this by a negative sign, the numerical value itself does not change, only its direction on the number line.
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Write a division problem that has a 3-digit dividend and a divisor between 10 and 20. Show how to solve it by drawing a quick picture.
Answer:
In the division problem,
The number which is divided is called dividend,
While, the number which divides, is called divisor,
Let dividend = 150 ( a three digit number ),
Divisor = 15 ( a number between 10 and 12 ),
So, the problem would be,
[tex]150\div 15[/tex]
In the below figure,
Take a grid that shows 150,
Divide this grid such that each box represents 15,
Thus, there are such 10 boxes,
That is,
[tex]150\div 15 = 10[/tex]
Can someone please help me answer these questions in scientific notation?)
1. (5.2 x 10⁻³) - (2.58 x 10⁻³)
2 (3.6 x 10⁻²) + (4.0 x 10⁻¹)
3. (8.32 x 10⁻³) - (5.9 x 10⁻⁴)
4. (6.03 x 10⁻²) - (3.8 x 10⁻³)
Express 4 8\9 as an improper fraction
The improper fraction of the given expression is [tex]\frac{44}{9}[/tex].
What is the improper fraction?A fraction with a numerator greater than or equal to the denominator is said to be improper. The denominator is the lower number, and the numerator is the top number. When you have wholeness or more than one whole, you can have improper fractions. Here are a few instances of incorrect fractions:
7/5 18/18 100/13
We can see the number of pieces we have in the numerator and the number of parts we are dividing by in the denominator. In the case of an improper fraction, like the first one mentioned above, there are seven parts, each of which is a fifth of the whole.
The improper fraction of [tex]4 \frac{8}{9}[/tex] [tex]=[/tex] [tex]\frac{(9*4)+8}{9}[/tex]
[tex]=[/tex] [tex]\frac{36+8}{9}[/tex]
[tex]=[/tex] [tex]\frac{44}{9}[/tex]
Hence, the improper fraction of the [tex]4 \frac{8}{9}[/tex] is [tex]\frac{44}{9}[/tex] .
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What is the rule for this sequence 6, 18, 54, 162, 486
k/4 = 3/8 solve for k.
Answer:
The answer is 1.5
Step-by-step explanation:
Answer the three questions please
Question (1)
When the divisor is a decimal, what must we do?
1) Multiply the divisor by 10, or 100, or 1000, etc., according to the number of decimal digits, so that it becomes a whole number.
2)Multiply the dividend by the same power of 10.
Question (2)
When asked to add or subtract decimals, the most important step is to line up the decimal points. Step 1: Line up the decimal points so that similar place values are lined up. In other words, the tens place in both numbers should be lined up, the ones place in both numbers should be lined up, etc.
Question (3)
To multiply decimals: Set up and multiply the numbers as you do with whole numbers. Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.
One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If both pumps are opened at the same time, how many hours will it take to fill the pool?
Answer: It will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.
Step-by-step explanation:
Since we have given that
Number of hours first pump takes = 8 hours
Number of hours second pump takes = 10 hours
If both pumps are opened at the same time,
Work done by first pump = [tex]\dfrac{1}{8}[/tex]
Work done by second pump = [tex]\dfrac{1}{10}[/tex]
According to question,we get that
[tex]\dfrac{1}{8}+\dfrac{1}{10}\\\\=\dfrac{5+4}{40}\\\\=\dfrac{9}{40}[/tex]
So, it will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.
math question down below
What is 540 divided by 36 using partial quotients
How would I solve this equation for x? x/p + x/q = S
my paperweight has a mass of 50g and a density of 2.5g/cm3.how much space does it take up?
To find the volume of a paperweight given its mass of 50g and density of 2.5g/cm³, you can use the formula Volume = Mass/Density. After substituting the given values into the formula the result is 20 cm³.
Explanation:The question is asking to find the volume of a paperweight given its mass and density. The formula used to find the volume when mass and density are given is: Volume = Mass/Density. Given that your paperweight has a mass of 50g and a density of 2.5g/cm³, you can use this formula to find volume.
First, substitute the values into the formula:
Volume = 50g / 2.5g/cm³
This calculation gives you a volume of 20 cm³. So, your paperweight takes up 20 cubic centimeters of space.
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54 over 4 as a mixed number