Answer:
D
Step-by-step explanation:
0.5 can be written as a fraction and 0.5 doesn't repeat
The number 0.5 is rational and terminating decimal thus option (D) is correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given number, 0.5
Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.
Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.
Hence "The number 0.5 is rational and terminating decimal".
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Find the height of a triangle that has an area of 18 in.² and a base of 9in.
PLZ SHOW STEP AND STEP CUZ I NEED TO SHOW MY WORK
Answer:
The height of the triangle is 4 in.
Step-by-step explanation:
Formula= a=1/2bh
Subsitute= 18 in^2=1/2(9)h
Multiply= (9)1/2= 4.5 in.
Divide 18/4.5= 4 in.
So the height would be 4 in.
Check If you aren't sure.
a=1/2bh
a=1/2(9)(4)
a=1/2(36)
a=18 in^2
Answer:
The height of the triangle is 4 in.
Step-by-step explanation:
Formula= a=1/2bh
Subsitute= 18 in^2=1/2(9)h
Multiply= (9)1/2= 4.5 in.
Divide 18/4.5= 4 in.
So the height would be 4 in.
Check If you aren't sure.
a=1/2bh
a=1/2(9)(4)
a=1/2(36)
a=18 in^2
The entire rectangle below has an area of .
Find the area of the shaded triangle.
Be sure to include the correct unit in your answer.
Answer:
Hence the required ans. Is 24cm2.
Step-by-step explanation:
I have explained Ans. at above. See it and how you Understand it. If you have any doubt then Comment . if you Like then Plz Give me 5 star rating
The area of the shaded triangle is 24 cm².
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a triangle is (1/2)×base×height.
and the area of a rectangle is length×width or base×height depending upon the perspective.
Given, the area of the rectangle is 48 cm².
So, one of the possible bases and heights of the rectangle can be
6 and 8.
So, the area of the shaded triangle is (1/2)×6×8 = 24cm².
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find the area of the fragment if each square on the grid represents 1cm2.
PLEASEEEEE HELPPPPP!!!!!!
The area of the fragment is \(10cm^{2}\) if each square on the grid has the area of \(1cm^{2}\).
We have been given the area of one square on the grid is \(1cm^{2}\).
We have to find the total area of the fragment.
Let's calculate the total area of the fragment.
We have been given the area of one square in the fragment is \(1cm^{2}\) .
Step 1: Count the number of squares present in the fragment.
Adding the number of colored squares in the row,
= 4 + 3 + 2 + 1
= 7 + 3
= 10
Step 2: Multiplying the number of squares in a fragment by the area of one square.
Now, forming an expression to calculate the total area,
= Number of squares X Area of one square
Substituting the values,
= \(10(1cm^{2} )\)
= \(10cm^{2}\)
Therefore, the area of the fragment is \(10cm^{2}\)
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Correct question: Find the area of the fragment, if each square on the grid has an area of \(1cm^{2}\).
The area of the fragment is approximately 10 cm².
Hence, option D is correct.
Use the concept of the triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Gieven that,
Eeach grid has area = 1 cm²
Since each grid is of square shape,
Therefore,
Heigh of each grid = 1 cm
And the width of each grid = 1 cm
Now from the figure,
The height of the triangle = 4 cm
The width of the triangle ≈ 5 cm
Since knowing that,
Area of triangle = (1/2) x base x height
Therefore,
Area of the shaded region ≈ (1/2)x4x5
Area of the shaded region ≈ 10 cm²
Hence,
The area of the fragment is approximately 10 cm² which is option D.
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The complete question is:
find the area of the fragment if each square on the grid represents 1cm² .
A: 13 cm²
B: 20 cm²
C: 49 cm²
D: 10 cm²
PLEASE SOLVE WILL GIVE BRAINLIEST IF RIGHT
Answer:
(x, 3) --> you can put any number for x
Step-by-step explanation:
help me pleasee, giving 10 points for itt
Answer:
(-1,0)
Step-by-step explanation:
May it will be correct
Leandro has four cubes like this one: He sticks them together to form the solid shown here and paints it blue all over. A week later, he separates the four cubes. What fraction of the total number of faces is WHITE?
Answer:
Step-by-step explanation: Each cube has a total of 6 sides. In the model, the top cube has 1 "hidden" side/1 side that is not exposed to the paint, the bottom middle has 1 "hidden" side, the right bottom cube has 1 "hidden" side, and so does the left. Adding up all the sides that are not exposed to the paint, there is a total of 4 white sides.
Can I get some help plz
What is the area of the figure below?
The figure is shown. and plz give me a truthful answer i need this
Answer:
86 cm²
Step-by-step explanation:
Answer attached...
Hope it helps ^_^
Numerele a,b,c sunt rationale si verifica egalitatea 3a+4b=c-36. Determinati cele trei numere daca a si b sunt direct proportionale cu 4 si 3,iar b si c sunt invers proportionale cu 0,24 si 0,01
Answer:
a/4 = b/3 = k
a=4k
b=3k
0.24=24/100=6/25
0.01=1/100
6b/25 = c/100 = k'
b=25k'/6=3k =>k'=18k/25
c=100k'=72k
Step-by-step explanation:
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
The slope is 6/1 or just 6
Step-by-step explanation:
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
Find the perimeter of this shape.
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
The box below will be used to ship smaller packages. Which package size would fill the box completely?
Answer: B
Step-by-step explanation:
650 boxes would fill up the box completely.
help me please I gave up
Answer:
i think it's 47
Step-by-step explanation:
difference between AD and WZ is 44
if DC is 3
then YZ is 47
because 3+44=47
Write a linear equation in the form y=mx+b
Table: x l y
3 l -9
4 l -11
5 l -13
6 l -15
9 l -21
I hope that this makes sense! Please help of possible!
Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2
Answer:
f(x)=1/16(x-2)^2+2
Step-by-step explanation:
The Equation can be written like this:
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...
f(x) = 1/16(x -2)^2 +2
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
Select all the figures with a 180-degree rotation symmetry.
The figures with a 180° rotation symmetry is B C and E.
The figures having 180 degree rotation symmetry are figure B , figure C and figure E.
Some figures are given in the question.
We have to find out which of the given figures have 180 degree rotation symmetry.
What do you mean by rotational symmetry ?
Rotational symmetry is defined as the property a shape has when it looks the same after some no. of rotations.
As per the question ;
We have to check which of given figures have rotational symmetry.
We know that ;
For a shape to have a rotational symmetry, the following must be true ;
The shape must have an even number of sides i.e., 4 , 6 , etc.The shape must have equal and parallel opposite sides.If we check according to the above conditions ;
Figures (A) and (D) don't meet the conditions.
However, the above conditions are true for figures (B), (C) and (E).
This is because a rectangle , a square and a regular hexagon has equal & parallel opposite sides; and also even number of sides.
Thus , the figures having 180 degree rotation symmetry are figure B , figure C and figure E.
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find the surface area of the composite figure
Answer: 316 square centimeters (if I am correct)
Step-by-step explanation:
First, find the surface area of one figure.
Green figure: 260 square centimeter
Purple figure: 56 square centimeters
Then, them together.
260+56=316.
Five friends went out to lunch. They each started with the same amount of money, and they each spent $3. They ended with a combined total of $45. How much money did each of them have to start? ? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 5, 3, and 45. Let r represent the amount (in dollars) each person had to start.
Answer:each spent $9 for a total of 3 times $9 = $27. They ended with $18 so they originally had$27 + $18 = $45. Divide by 3 to get $15 each at the start
Step-by-step explanation:
add v to 5, then add 2 to the result
(v + 5) + 2 = v + 7 is the answer.
The parking space shown at the right has an area of 330 ft². A custom truck has rectangular dimensions of 13.3 ft by 4.9 ft. Can the truck fit into the space? Justify your answer.
The area of the truck is ____ ___↓
\((type \: an \: integer \: or \: a \: decimal)\)
Answer:
the area is 30 correct me if Im wrong
Step-by-step explanation:
Answer and explain thank you
Answer:
B) 45.5mi
Step-by-step explanation:
It's easy, Use the unitary method:
First, Divide 26 by 4 which is 6.5
Then, Multiply 6.5 x 7 which is 45.5
So, answer is b.
divide: 37 / 0.05 please help
Answer:
740
Step-by-step explanation:
Please help ASAP! -screenshot-
Brainlist 2 correct answers!
Answer:
P(not blue) = 1 - P(blue) = 1 - 10/50 = 40/50
= 4/5
P(2) = 5/20 = 1/4 = 25%
Hi could someone please help me
Answer: y = -1/4x - 6
Step-by-step explanation: the slope is -1/4 because slope = rise/run, the rise is 1, and the run is 4 and the slope is negative. the y intercept is -6 because it passes through -6 at the y axis.
Answer:
-1/4x + -6
Step-by-step explanation:
The slope is -1/4 because slope = \(\frac{rise}{run}\),
So:
-\(\frac{1}{4}\) is the slope, also is negative.
The y intercept is -6 because it passes through -6 at the y axis.
( I also checked it on khan Academy and it was correct)
Hope this helps :)
Pls brainliest...
Greg has
3 rows of stamps with 10 stamps in
each row. Greg says there are a total of
35 stamps. Use what you have learned
about multiples of 10 to explain why
Greg is incorrect.
Answer:
All multiples of 10 end with 0 only. So 35 must be wrong as it ends with 5. Therefore, Greg is incorrect.
I need answer ASAP.
Abram was in a contest shooting baskets. He made 20% of his shots. He took a total of 240 shots in the competition. How many baskets did he miss?
Answer:
192 baskets
Step-by-step explanation:
Consider the infinite geometric series infinity sigma n=1 -4(2/3)^n-1. In this, the lower limit of the summation notion is "n=1". PLEASE show your work I dont understand
1)write the first four terms of the series 2) does the series diverge or coverge 3) if the series has a sum find the sum
Answer:
To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:
n=1: -4(2/3)^0 = -4(1) = -4
n=2: -4(2/3)^1 = -4(2/3) = -8/3
n=3: -4(2/3)^2 = -4(4/9) = -16/9
n=4: -4(2/3)^3 = -4(8/27) = -32/27
So the first four terms of the series are -4, -8/3, -16/9, -32/27.
To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:
r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3
Since the absolute value of the common ratio is less than 1, the series converges.
To find the sum of the series, we can use the formula for the sum of an infinite geometric series:
S = a / (1 - r)
where a is the first term and r is the common ratio. Substituting the values we found:
S = -4 / (1 - 2/3) = -4 / (1/3) = -12
So the sum of the infinite geometric series is -12.
Answer:
a) The first four terms of the series are:
-4, -8/3, -16/9, -32/27
b) The series converges.
c) The sum of the infinite geometric series is -12.
Step-by-step explanation:
Given infinite geometric series:
\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)
Therefore, the formula for the nth term of the sequence is:
\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)
where:
-4 is the first term, a.2/3 is the common ratio, r.Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.
\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)
\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)
\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)
\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)
A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.
Use the infinite geometric series sum formula to find sum of the infinite series.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)
Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:
\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)
Therefore, the sum of the given infinite geometric series is -12.
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
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