if instead the triangle on the left had the same area as the circle on the right
Answers
If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.
Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.
This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.
Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.
Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.
For more such questions on triangle
https://brainly.com/question/17335144
#SPJ8
Related Questions
Electrical circuit has a voltage of 60 v and resistance of 5 ohms that is the current?
Answers
Answer:
The current or I = 12.
Step-by-step explanation:
Ohm's law requires you to divide 60 volts by 5 ohms, hence giving you 12.
What is the measure of 23, in degrees, in the figure shown? 30° 137° 3
Answers
Answer:
73°
Step-by-step explanation:
This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
The triangle has two angles implied, 30 degrees and (180-137) degrees.
(180 - 137) = 43 degrees
Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.
180 - 43 - 30 = 107
The angle with a measure of 107 degrees and angle 3 are supplementary
180 - 107 = 73 degrees
Answer:73.4° Fahrenheit.
Step-by-step explanation:
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
Answers
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
#SPJ1
Rectangle LMNP is similar to rectangle WXYZ.
The length of LM is 19 in, the area of rectangle LMNP is 140.6 in2, and the length of XY is 2.22 in.
What is the difference between the perimeters of the two rectangles?
A. 31.96 in
B. 36.96 in
C. 15.84 in
D. 41.96 in
Answers
The required, difference between the perimeters of the two rectangles is 46.03 in. None of the options is correct.
Since rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k. Then:
k = XY / LM = 2.22 / 19
To find the value of k, we can divide 2.22 by 19:
k ≈ 0.117
The area of rectangle LMNP is given as 140.6 in^2. We can use this to find the length of NP:
LM * NP = area of LMNP
19 * NP = 140.6
NP ≈ 7.4 in
Since the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:
XY / YZ = LM / NP
2.22 / YZ = 19 / 7.4
YZ ≈ 1.167 in
Now we can calculate the perimeters of both rectangles:
Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in
Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in
The difference between the perimeters is:
52.8 - 6.77 = 46.03 in
Learn more about the perimeter here:
https://brainly.com/question/6465134
#SPJ1
First, rewrite 2/7 and 3/10
so that they have a common denominator
Answers
Answer:
The common denominator will be 70
Step-by-step explanation:
To set the fractions to a common denominator, we need to know what number they both share. In this case, both 7 and 10 share the number 70, since 7 * 10 is 70.
Therefore, we can multiply 2/7 by 10/10 and 3/10 by 7/7:
\(\frac{2}{7}\) * \(\frac{10}{10}\) = \(\frac{20}{70}\)
\(\frac{3}{10}\) * \(\frac{7}{7}\) = \(\frac{21}{70}\)
Answer: Common denominator = 70
Step-by-step explanation: In order to find a common denominator, we need to find what number they have in common. That'd be 70. So, now rewrite the fractions like this:
\(\frac{2}{7} = \frac{?}{70}\)
\(\frac{3}{10} = \frac{?}{70}\)
Now, we need to find the equivalent fractions on the right. To do that, use this formula for part 1:
Right denominator / left denominator
Then, what you get after dividing those 2, you multiply by the left numerator.
So, let's plug the numbers in:
70 / 7 = 10
10 * 2 = 20
Therefore, \(\frac{2}{7} = \frac{20}{70}\)
70 / 10 = 7
3 * 7 = 21
Therefore, \(\frac{3}{10} = \frac{21}{70}\)
I hope this helped!
Find the zero(s) of the following function f(w)=w^2+13w+40
Answers
Answer:
To find the zeros of the function f(w) = w^2 + 13w + 40, we need to solve the equation f(w) = 0.
We can factor the quadratic expression as (w + 8)(w + 5) = 0.
Therefore, the zeros of the function are w = -8 and w = -5.
Step-by-step explanation:
Science (from the Latin word Scientia, meaning "knowledge") is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
The earliest roots of science can be traced to Ancient Egypt and Mesopotamia in around 3500 to 3000 BCE
Answers
Answer:
?
Step-by-step explanation:
What are you even asking-
7.C.J. says the quotient of -3/4 divided by 1/4 is - 1/3
a What is the correct quotient?
bWhat mistake did CJ likely make?
a. He multiplied the reciprocals of both fractions.
b. He added -3/4 and 1/4
c. He multiplied-3/4 by 1/4
d. He multiplied using the reciprocal of -3/4.
Answers
The correct quotient is -3
The mistake CJ likely made is multiplying using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4
From the question,
We are to determine the correct quotient.
The given division operation to be carried out is -3/4 divided by 1/4
The correct quotient can be determined as shown below
\(-\frac{3}{4} \div \frac{1}{4}\)
Multiply \(-\frac{3}{4}\) by the reciprocal of \(\frac{1}{4}\)
The reciprocal of \(\frac{1}{4}\) is \(\frac{4}{1}\)
Then, we get
\(-\frac{3}{4} \times \frac{4}{1}\)
This gives
\(-\frac{12}{4}\)
= -3
The correct quotient is -3
The mistake CJ likely made is multiplying using the reciprocal of -3/4.
Hence, the correct quotient is -3
The mistake CJ likely made is He multiplied using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4
Learn more here: https://brainly.com/question/13124034
an irregular hexagon has interior angles measuring 2x 3x 4x 2x 3x and 97 degrees what's x
Answers
The value of x in this case is going to be 24.61 degrees.
How can we prove it ?To find the value of x, we can use the fact that the sum of the interior angles of a hexagon is equal to 180(n-2) degrees, where n is the number of sides of the polygon.
So, the sum of the interior angles of the hexagon = 180(6-2) = 540 degrees
Given that the interior angles measure 2x 3x 4x 2x 3x and 97 degrees.
2x + 3x + 4x + 2x + 3x + 97 = 540
18x + 97 = 540
18x = 443
x = 443/18
x = 24.61 degrees
So, the value of x is 24.61 degrees
What is an hexagon?An hexagon is a polygon with six sides and six angles. It is a two-dimensional shape that can be classified as both a regular or an irregular hexagon. A regular hexagon has all sides and angles congruent, while an irregular hexagon has sides and angles of different lengths and measures. Hexagons can be found in many natural forms such as in honeycomb, crystals and also in man-made structures like in tiles, flooring, and in some parts of the machinery.
Learn more about Polygons here.
https://brainly.com/question/24464711
#SPJ1
4. How many toothpicks would you need to make any sized square? Is there a pattern or rule? Explain.
Answers
Answer:
4 toothpicks, for the pattern part, you always need 3 more toothpicks to make another square
Step-by-step explanation:
To make 1 square use 4 toothpicks; to make 2 squares use 7 toothpicks; to make 3 squares use 10 toothpicks. For each new square you needs a further 3 toothpicks.
Determine the rational zeros for the function f(x)=8x^(3)-6x^(2)-23x+6.
a. -(1)/(2),(1)/(4),2
c. -1(1)/(2),(1)/(4),2
b. 1(1)/(2),(1)/(4),-2
d. -1(1)/(2),-(1)/(4),2
Answers
Answer:
Step-by-step explanation:
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
Answers
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
To learn more about Pythagoras theorem, visit the link below
https://brainly.com/question/343682
#SPJ1
solve x^2-3x+1=0 using completing the square method
Answers
This won't be the easiest way to do this problem but as your teacher requires it I will do it that way. But at the end I will show another way to do it with the quadratic formula.
First complete the square
x^2-3x+1=0
(x^2-3x+9/4)+1=9/4
(x-3/2)^2=9/4-1
(x-3/2)^2=5/4
x-3/2=±\(\sqrt{\frac{5}{4}\)
x= 3/2±\(\frac{\sqrt5}{2}\)
Done!
*Now this next way is not the way your teacher wants you to do it but I personally think its easier.
Just use the quadratic formula x=[-b±sqrt(b^2-4ac)]/2
x=[3±sqrt(9-4*1*1)]/2
x=(3±sqrt5)/2
x=3/2±sqrt5/2
We get the same answer but I think this way is easier. Now if your teacher ask for the top way just do the top way don't do the bottom because you will lose points, its just a shorter way to do things. Now I hope this helped and any additional questions about this just ask me in the comments.
Hey, I just need to know if I was correct with my test.
Answers
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Statistics,
If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175
so for 1 hour, he gets = 175÷20 => $8.75 per hour
, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,
$8.75 + $1.05 (per hour)= $9.80
so now his total pay is given as,
E= 9.80h
Option D.) is correct
Choose region 2 from the Explore & Test page that is bounded by the curves y = (x − 3)2 when x ≥ 3, x = 0, y = 4. Set the axis of revolution to be the y-axis and use the first slider to rotate the region around the y-axis. The solid generated resembles a coffee cup without a handle. Move the second slider to see how the volume of the disks can be used to approximate the volume of the coffee cup.
Answers
Answer:
V= 76 π cubic units
Step-by-step explanation:
y= \((x-3)^{2}\) -----> \(x=\sqrt{y} +3\)
Here we will apply the risk method.
Risk method: consider a strip of length x and width dy as
a) Radius= R(y) = x = \(\sqrt{y} + 3\)
[We rotate this disc about y-axis to get a disk]
b) Cross-section area = A(y)= π \((radius)^{2}\)
= A(y)= π (y+9+6 \(\sqrt{y}\))
--------> Volume of the disc = A(y) x dy
c) Required volume= v = \(\int\limits^4_0\) A(y) x d(y)
V= \(\int\limits^4_0\) π (y + 9 + 6\(\sqrt{y}\) ) dy
V= π [ \({\frac{y^{2} }{2} + 9y + 4y^{\frac{3}{2} }\)\(]_{0} ^{4}\)
V= 76 π cubic units.
What is the slope of the line in the graph below? Help as fast as you can please!
Answers
Chairs need to be set up for the audience members. You want to use. the fewest number of chairs and still meet these three additional condions.
• There are 23 rows of chairs.
• There are the same number of chairs in esch row.
• There are an even number of chairs in cads rom.
Based on the number of students expected to attend, design a plan to set up the chairs. State how many total chairs there are, and explain why your plan meets these conditions.
Answers
There must be 46 chairs in each row and total number of chairs are 1058
To meet the given conditions, we need to find a number that has the following properties:
It should be divisible by 2, as there are an even number of chairs in each row.
It should be divisible by 23, as there are 23 rows of chairs.
It should be the same number in each row.
The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.
So, we need to set up 46 chairs in each row.
The total number of chairs required will be:
Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs
Hence, the total number of chairs are 1058
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Angie Adkins paid $95 for a used refrigerator, $115 fora used dining set and $240 for a used living room set. What was the total cost of the items?
Answers
Answer: 450
Step-by-step explanation: 95+115+240=450
The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answers
Answer:
Step-by-step explanation:
3.6*
It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2
For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.
We get
36 = s^2
Now, we need to get the square root of both sides, which gives us
s = √36 s = 6 cm
Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.
Therefore, the perimeter of the square is 24 cm.
Check this out-
https://brainly.com/question/29192128?referrer=searchResults
9 gal 2 qt to quarts
Answers
Answer:
38 us liquid quarts
Step-by-step explanation:
18) In a class of 50 boys 3/5of the boys got marks above 60 in Mathematics. How
many boys got above 60 marks?
Answers
Answer:
thx for the points mwah
Step-by-step explanation:
Item #1
Item #2
2
Cheerios
$3.65
for 17 oz.
Fruit Loops
$2.88
for 13 oz.
Unit Price
Which is the better deal? (Circle One)
Item #1
Item #2
Answers
Answer:
i think item 1 is the better deal...
Cheerios
3.65/17 = 0.21 per Oz
Fruit Loops
2.88/13 = 0.22 per Oz
Cheerios is the better deal as it’s cheaper altogether.
According to the graph H(w) below, what happens when w gets close to zero?
Answers
Answer:
D= H(w) gets very large
Step-by-step explanation:
Solve for x.
A. 2ft
B. 3ft
C. 4ft
D. 6ft
Answers
\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:
Step-by-step explanation:
How many distinct ways are there to arrange 3 yellow marbles, 3 green marbles, 2 red marbles, and 2 blue marbles in a row?
Answers
There are 3150 distinct ways to arrange the marbles in a row.
What is Combination ?
In mathematics, combination is a way of selecting a group of objects from a larger set, without regard to the order in which the objects are selected. Combinations are also sometimes called "unordered selections" or "combinatorial subsets".
To solve this problem, we can use the formula for permutations with repetition. We have a total of 10 marbles, but some of them are repeated. Specifically, we have:
3 yellow marbles (repeated)
3 green marbles (repeated)
2 red marbles (repeated)
2 blue marbles (repeated)
So the number of distinct ways to arrange these marbles in a row is:
(10!) ÷ (3! x 3! x 2! x 2!)
The factorials in the denominator account for the repetition of each color. We divide by them to eliminate the overcounting that would occur if all the marbles were unique.
Simplifying this expression, we get:
(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)÷(3 x 2 x 1 x 3 x 2 x 1 x 2 x 1 x 1 x 1)
which equals:
(10 x 9 x 8 x 7 x 6 x 5 x 4) ÷ (3 x 3 x 2 x 2)
Simplifying further, we get:
(10 x 3 x 3 x 3 x 2 x 2 x 7 x 5) ÷ (3 x 3 x 2 x 2)
which equals:
(10 x 3 x 3 x 7 x 5)
which finally equals:
3150
Therefore, there are 3150 distinct ways to arrange the marbles in a row.
To learn more about Combination from given link.
https://brainly.com/question/30938605
#SPJ1
In a particular parking lot with 24 cars in it, 18 are blue. What fraction of the cars in the parking lot are blue?
Answers
Answer:
3/4
Step-by-step explanation:
If you do a ratio, 18 blue cars to 24 total cars, that would be 18:24. If you simplify that, then you would be left with 3:4. So for every 4 cars, 3 are blue. So 3/4 of the cars in the parking lot are blue.
What is the product of -2/5 * (-11/12) in simplest form.
Answers
Answer:
the answer is 11/30
Step-by-step explanation:
when you do the original equation it on 22/60 and that simplified is 11/30
Suzy can type 85 words in 2 minutes. How many minutes will it take her to type her to type 500 word paper?
Answers
Answer:
11,765
Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes
The graph shows the proportional relationship between the number of gems collected and the number of levels that has been completed in a video game.
Determine the constant of proportionality for the relationship.
Answers
The constant of proportionality for the relationship is 70.
From the given graph (2, 140), (4, 280), (6, 420), (8, 560) and (10, 700).
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
From the graph we can see it is direct proportion.
Here, y∝x
⇒ y=kx
⇒ k=y/x
⇒ k=140/2
⇒ k=70
Hence, the constant of proportionality for the relationship is 70.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ1
(2-2)
Z
-(x+5)*
Please answer soon as possible
Answers
Answer:
\(\huge\boxed{\sf x = 29}\)
Step-by-step explanation:
(x+5) + (2x-2) = 90 [Complementary angles i.e. adding up to 90 degrees]
x+5 + 2x - 2 = 90
3x + 3 = 90
3x = 90 - 3
3x = 87
Divide both sides by 3
x = 87 / 3
x = 29
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807