can someone give me a full explanation on how to do this? thank you have a great day !
Answers
Answer:
Exact area = 1800 - 450pi square cm
Approximate area = 387 square cm
I used 3.14 for pi to get the approximate value.
============================================================
Explanation:
Check out the diagram below.
As the diagram shows, the largest radius possible is half of the shortest dimension of this rectangle. So the radius of each identical circle is 30/2 = 15 cm. The radius cannot exceed this value, or else the circle will spill outside the rectangle.
The area of one circle would be
A = pi*r^2
A = pi*15^2
A = pi*225
A = 225pi
Two identical circles like this combine to a total area of 2A = 2*225pi = 450pi square cm.
The area of the brown shaded region in the figure, aka the amount of cardboard leftover, is exactly 1800 - 450pi. The 1800 is from the computation of 60*30 = 1800, which is the area of the original rectangle before we made any cuts.
If we wanted to find the approximate area, then we could use pi = 3.14 to get
1800 - 450pi = 1800 - 450*3.14 = 387
The approximate area remaining is 387 square cm. This value is approximate because pi = 3.14 is approximate. If you were to use more decimal digits of pi, then you'd get some other approximate area.
Related Questions
Use the exchange rate £1 = $1.36 to convert $68 into £.
Answers
Divide total dollars by the conversion rate:
68/1.36 = 50
Answer: £50
Find the measure of each marked angle.
The larger angle measures?
The smaller angle measures?
Answers
Answer:
the larger one is 105º
the smaller one is 75º
x=11
Step-by-step explanation:
9x+6+6x+9=180
15x+15=180
15x=165
x=11
9(11)+6=106
6(11)+9=75
Answer:
x = 11
Step-by-step explanation:
the larger one is 105º
the smaller one is 75º
x = 11
13. Analyze: How much money is 1/2 of a dollar plus 3/4 of a dollar plus 3/10 of a dollar?
I keep forgetting my fractions.
Answers
Answer:
1 dollar & 55 cents
0.5+0.75+0.3=1.55
A ticket to a movie theater costs $5.25. A large lemonade costs $3 and a small popcorn costs $1.55. What is the total cost of going to the movie and buying a large lemonade and a small popcorn?
Answers
Answer:
Your answer is 9.8
Step-by-step explanation:
Well, this is fairly simple... You're adding the cost for the move, the cost for large lemonade, and the cost for a small popcorn.
5.25+3= 8.25 | 8.25+1.55= 9.8
Your answer is 9.8
Answer:
$9.80
Step-by-step explanation:
Add the cost of the ticket, lemonade, and popcorn.
total cost=5.25+3+1.55
total cost=9.8
Which means $9.80
Good day dear friends,
The expression 2L + 2W is used to find the perimeter of a rectangle with length L and width of W.
What is the perimeter of a rectangle with length 15cm and width 4cm?
Show your work.
A. 38
B. 60
C. 239
D. 23
Answers
Answer:
A, 38cm
Step-by-step explanation:
since u have to take 15cm (the length) then multiply by 2 to take both the sides of the rectangle
then you have to take the width 2 times to take the perimeter and add it up. so 15x2 and 4x2 added is 38. there!
Write 315 as a product of primes.
Answers
Answer:
3*3*5*7
Step-by-step explanation:
hope it helps you out
please mark brainiest
Answer:
315 = 5*3*7*3
Step-by-step explanation:
The Kitten Korner animal shelter buys cat food in 64-can crates. Each can holds 6 ounces of cat food. If the animal shelter orders 2 crates of cat food at a time, how many pounds of cat food are in each order?
Answers
64 cans (each 6 ounces) is 384 ounces per crate
Since they ordered 2 crates, its 768 ounces
Now you have to convert this into pounds
There are 16 ounces in a pound, so divide 768 by 16 to get 48 ounces in each order
Using Bing Maps, on the upper right hand corner click on STREET SIDE.
From ANY US CITY TO ANOTHER US CITY. Use at least 25 points or more.
Answers
Answer:
The penalty for not voting in New South Wales is a $55 fine. You must respond within 28 days of the issue date of the notice. You will have four options: If you voted, you can provide details of where and when using our non-voter self-service portal.
Cadence has cups of strawberries. She needs cup of strawberries to make a batch of tarts. How many batches can she make?
Answers
Answer:
How many cups does she have and how many does she need to make a batch? I do not think this questions is complete
Step-by-step explanation:
This diagram shows a pre-image △ABC, and its image, △A′′B′′C′′, after a series of transformations. Select from the drop-down menus to correctly complete the statements. △ABC is Choose... to become △A′B′C′. Then △A′B′C′ is Choose... to become △A′′B′′C′′ . Because the transformations are Choose... , the pre-image and image are Choose... . Triangles on a coordinate plane whose axes are labeled x and y. Triangle A B C has vertex A at 1 comma negative 1, vertex B at 4 comma negative 2, and vertex C at 7 comma 2. Triangle A prime B prime C prime has vertex A prime at negative 1 comma 1, vertex B prime at negative 4 comma 2, and vertex C prime at negative 7 comma negative 2. Triangle A double prime B double prime and C double prime has vertex A double prime at negative 1 comma negative 2, vertex B double prime at negative 4 comma negative 1, and vertex C double prime at negative 7 comma negative 5.
Answers
The answers that complete the statements of the series of transformations are;
- △ABC to △A′B′C′; because the △ABC has been rotated at angle of 180° about the origin.
- △A′B′C′ to △A′′B′′C′′; Because the △A′B′C′ has been shifted down by 3 units.
- All 3 transformations are rigid transformations
- All three transformations are congruent transformations.
The image showing triangles △ABC, △A′′B′′C′′, and △A′B′C′ is missing and so I have attached it.From the image attached, we see the following coordinates of the triangles;
Coordinates of △ABC; A(1, -1), B(4, -2), C(7, 2)
Coordinates of △A′B′C′; A'(-1, 1), B'(-4, 2), C'(-7, -2)
Coordinates of △A′′B′′C′′; A''(-1. -2), B''(-4, -1), C''(-7, -5)
Now, in transformation from △ABC to △A′B′C′, we see that the pattern of transformation is; (x, y) → (−x ,−y). This pattern where coordinates of x and y are transformed to the negative part of them denotes that there has been a rotation at angle of 180° about the origin.In transformation from △A′B′C′ to △A′′B′′C′′, we see that triangle shifted down because the y-coordinates have reduced by 3 units. Thus, we can say that the transformation was to shift △A′B′C′ down by 3 units.In each of the transformations, we can tell that regardless of the position of the triangle, the distances AB, BC and AC remain the same. Thus, the transformation is rigid. The transformations are also congruent because all their corresponding sides are equal.Read more at; https://brainly.com/question/11254677
10 POINTS!!: ANSWER THIS QUESTION
(please no bad answers)
Answers
Answer:
Write in standard form.
3x+2y=8
Step-by-step explanation:
Answer:
ver easy dude i will explain if u follow mee please
What is the area of a triangle that has a height of 60 and a base length of 7 feet
Answers
Answer:
210
Step-by-step explanation:
so the formula for the area of a triangle is base × height ÷ 2
so you do 60 × 7 = 420 then divide by 2 = 210
Help question 7 plz will give Brainlyest
Answers
mr gardener is makin 6 treat bags.he has 185 chocloate coverd raisins. how many chocolate coverd rasins will be on each bag
Answers
Answer:
30
Step-by-step explanation:
he will still have extra but not enough to make another bag
Let f(x)=2(5 ) x−1 . Evaluate f(3) without using a calculator.
Answers
f(3) =2(5)3-1
f(3) = 30-1
f(3) =29
The value of f(x)=2(5 ) x−1 is 29.
What are polynomials?
A polynomial expression is an expression that can be built from constants and symbols.Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types.Monomial- Linear equations (A monomial is a polynomial with one term)Binomia l- quadratic equation (A binomial is a polynomial with two, unlike terms).Calculation:-
For F(3)
⇒f(x) =2*(5)*x-1
⇒f(3) =2*(5)*3-1
⇒f(3) = 30-1
⇒f(3) =29
Learn more about polynomials here:-https://brainly.com/question/2833285
#SPJ2
HELPPP! FASTTTT PLEASE PDJWIJPDHPHDPIHSPDHBSPIBSBPSIBPIBSOISBOBIBSOIBSOIBSOIBISOISBOISG
Answers
Answer:
B
Step-by-step explanation:
Look how point D moved to point D". It went 7 units left and 1 unit down. All points in ABCD moved the same way to A"B"C"D. It's a translation of 7 units left and 1 unit down.
Answer: B
How many numbers x between 1 and 100 (inclusive) have the property that x2+x3 is a perfect square?
(Please help. I'm suffering)
Answers
=========================================================
Explanation:
Factor the given expression
x^2+x^3
x^2*1+x^2*x
x^2(1+x)
x^2(x+1)
We end up with something where the factor x^2 is a perfect square regardless of whatever we replace x with from the set {1,2,3,...,99,100}.
In short, we don't need to worry about the x^2 portion.
--------------------
The only thing of importance is the x+1 factor.
The x+1 must be a perfect square so that the original expression is as well.
Let's say M is some perfect square between 1 and 100. That means M belongs to the set of values
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
If we want M+1 to be a perfect square, then we'll need to subtract 1 from each item in that set above to counteract the "plus 1" in "M+1".
Subtract 1 from each item to end up with this modified set
{0, 3, 8, 15, 24, 35, 48, 63, 80, 99}
--------------------
Every item mentioned in that second set will make x^2+x^3 to be a perfect square.
For example, let's pick x = 15
x^2(x+1) = 15^2*(15+1)
x^2(x+1) = 15^2*16
x^2(x+1) = 15^2*4^2
x^2(x+1) = (15*4)^2
x^2(x+1) = 60^2
This confirms that x^2+x^3 is a perfect square for x = 15. I'll let you check the other values.
There are 10 values in the set {1^2,2^2,...,9^2,10^2} = {1,2,...,81,100}. There are also 10 values in the set {0,3,8, ..., 80, 99} we got earlier. The cardinality hasn't changed. However, we'll kick out 0 because it's not between 1 and 100. So we end up with 9 as our final answer.
--------------------
To summarize, there are 9 values of x that make x^2+x^3 a perfect square, where x is some whole number between 1 and 100 inclusive.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help
Answers
Answer:
The 3rd option
Step-by-step explanation:
Look at the data provided:
12, 17, 18, 20, 16, 10, 13, 21, 9, 10, 22
In a box-and-whisker plot, draw a box from the first quartile to the third quartile:
Q1 = 11
Q3 = 19
A vertical line goes through the box at the median:
Median (Q2): 15
The whiskers go from each quartile to the minimum or maximum:
Minimum: 9
Maximum: 22
Hope this helped :)
I need help what is this?
Answers
Answer:f(x) is 6)×-3
Step-by-step explanation:i think i it will help
The average height of 3 boys is 130 cm. If the shortest boy is 120 cm tall, how tall could the tallest boy be? (BTW average = Mean) fast please!!
Answers
Answer:
ghjghhhgghghh
Step-by-step explanation:
Answer:
130
Step-by-step explanation:
what is the greatest common factor of 22 and 121
Answers
Answer:
11
Step-by-step explanation:
$40 jacket is 25% off how much will u save
Answers
Answer:
10 dollars
Step-by-step explanation:
can anyone's please explain how you got this answer with explanation....(if nonsense answers I will report)
Answers
Answer:
12.5%
Step-by-step explanation:
45/360×100=12.5
Which equation represents a line that passes through (5, 1) and has a slope of 1/2?
Oy-5= 1/2(x-1)
oy- į = 5(x-1)
oy-1 = 1/2(x–5)
oy-1 = 5(x-1/2)
Answers
Answer:
C. y - 1 = 1/2(x - 5)Step-by-step explanation:
Use the point- slope form:
y - y₁ = m(x - x₁)Substitute know values:
y - 1 = 1/2(x - 5)The matching choice is C
The correct equation which represents a line that passes through (5, 1) and has a slope of 1/2 is,
y - 1 = 1/2(x - 5)
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A equation of a line that passes through (5, 1) and has a slope of 1/2.
Now, Use the point- slope form:
⇒ y - y₁ = m(x - x₁)
Hence, Substitute all the values:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 5)
Thus, The correct equation which represents a line that passes through (5, 1) and has a slope of 1/2 is,
y - 1 = 1/2(x - 5)
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ7
guys pls help me!!!!!!!
Answers
Your answer would be 154*. Reason being, if there are two parallel lines and a line running through them, you will only have 2 types of angles. The labeled 154* tells us that the angle to its right would be 26 degrees. Making line m = to 180 degrees at that angle. Then if you did the same thing with line t, you would get angle x to be equal to 154 degrees.
It is complicated like that, or as simple as just taking the 154 and saying that x has the same angle. Due to the fact that both angles are adjacent, they are the same.
What type of number is -15/3
a. whole number
b. integer
c. rational
d. irrational
(MULTIPLE CHOICE)
Answers
Answer:
integer
Step-by-step explanation:
the answer is interesting
Please help!!
Victor's solution to an equation is shown below. Which property of real numbers did Victor use for Step 3? A. Associative Property of Multiplication B. Addition Property of Equality C. Subtraction Property of Equality D. Commutative Property of Multiplication
Answers
Answer:
can't see the equation sorry
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Victor solved this inequality as shown:
Given: 6+3(x+5) = 36
Step 1: 6+3x+15 = 36
Step 2: 3x+21= 36
Step 3: 3x = 15
Step 4: 3x=15
What property justifies the work between step 3, I'm guessing its this question if not message me.
from step 2 to 3 we must use Subtraction Property of Equality since
3x+21 = 36 must subtract 21 both sides
then u get 3x=15
f(x) = x2 - 6x + 8?
In vertex form
Answers
Answer: f(x) = (x - 3)² - 1
Step-by-step explanation:
Hope it helps :)
(y = a(x-h)^2+k)
(h,k) = (x,y) of vertex
Answer:
(-3, -1), the axis of symmetry is x = -3.
Step-by-step explanation:
round to nearest ten 8,990.97
Answers
Answer:
8990
Step-by-step explanation:
The 9 underlined is in the tens place.
8990.97 ⇒ 8990
Since you can't round up, you replace everything after the underlined 9 with 0's.
8990.00 = 8990
What is
[tex] {4}^{ - 3}[/tex]
as a fraction?
Answers
Step-by-step explanation:
[tex] {4}^{ - 3} [/tex]
[tex] = ( \frac{1}{4} )^{3} [/tex]
I have double check this
