Filipe was playing with a triangle on a coordinate plane. The triangle's area is 24 square units. The largest circle he can fit in the triangle is centered at (0,0) and passes through the point (1.2,1.6). Approximately what percentage of the triangle does the circle cover?

Answers

Answer 1

Answer:

52.36%

Step-by-step explanation:

I did this problem on a test

Answer 2

52.33% is the percentage of the triangle does the circle cover.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Area of triangle = 24 sq units

Center of Circle is at (0, 0) and the circle passes through (1.2, 1.6).

We need to find the percentage of triangle covered by circle.

we need to find the area of circle.

To find the area of circle, we need the radius of circle.

Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.

Radius = =√(1.2-0)²+(1.6-0)²

=2 units

Now, area of circle is given by the formula:

Area = πr²=3.142×4=12.56 sq units

Percentage of Triangle covered:

Area of circle/Area of triangle × 100

12.56/24× 100

52.33%

Hence, 52.33% is the percentage of the triangle does the circle cover.

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Related Questions

Please help! i will mark brainliest!​

Answers

Answer: A. one real solution

This solution is a double root (it repeats itself). An example would be x^2-8x+16 = 0 has the only solution x = 4.

if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the range

Answers

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

The range is { -2 ≤ y≤ 3 } .

What is Transformation?

Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.

Reflection is to create a mirror image of the coordinate or the figure.

After reflection along any axis, the coordinate of the other axis changes to its additive inverse.

(x,y) ----> when reflected along y axis ----> ( -x , y)

The domain is all the values a function can have as input and the range is all the values that a function can have.

The original coordinate changes to  (-1,3),(2,1),(5,-1)and(-1,-2).

When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.

So the value of the domain changes while the range remains the same.

The range is { -2 ≤y≤3}

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I need help on algebra

Answers

Just remember the syllables PEMDAS which stand for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction. If you can’t remember it, just write it on the side of your paper. But make sure to use it in that order.

Answer:

1)   5x³ + 3x²

2)  25 - 3x⁵

3)  -4ab + 2a² + 26

4)   p²q³ + pq

Step-by-step explanation:

Like terms are expressions like 3x and 2x or 5x² and 8x².

1)  x² + 5x³ + 2x²

    5x³ + 3x²

2)  -2x⁴ + 16 + 2x⁴ + 9 - 3x⁵

     -2x⁴ + 2x⁴ + 25 - 3x⁵

      25 - 3x⁵

3)  ab - a² + 4² - 5ab + 3a² + 10

     ab - a² + 16 - 5ab + 3a² + 10

     ab - a² - 5ab + 3a² + 26

     ab - 5ab + 2a² + 26

     -4ab + 2a² + 26

4)  3p²q² - 3p²q³ + 4p²q³ - 3p²q² + pq

     3p²q² + p²q³ - 3p²q² + pq

     p²q³ + pq

The average of an electrician's hourly wage and a plumber's hourly wage is $33. One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work and pays a total of $468 in wages. Find the hourly wage for the electrician and for the plumber. Electrician makes $___ and Plumber makes $___

Answers

Answer:

Plumer : $198

Electrition : $270

Step-by-step explanation:

The Electrician makes $ 216 and Plumber makes $ 252

The hourly wage of the electrician = $ 24

The hourly wage of the plumber = $ 42

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the hourly wage of electrician be = $ x

Let the hourly wage of plumber be = $ y

The average of hourly wage of an electrician and plumber = $ 33

So , ( x + y ) / 2 = 33

Multiply by 2 on both sides , we get

x + y = 66   be equation (1)

And , One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work

So , total wages =
9 hours of work by electrician + 6 hours of work by plumber

9x + 6y = $ 468   be equation (2)

Now , we have 2 equations

Multiply equation (1) by 6 , we get

6x + 6y = 396   be equation (3)

And ,

equation (2) - equation (3) , we get

3x = 72

Divide by 3 on both sides , we get

x = 24

Substituting the value of x in equation (1) , we get

y + 24 = 66

Subtracting 24 on both sides, we get

y = 42

So , the hourly wage of electrician is $ 24 and the hourly wage of plumber is $ 42

Now , wage of electrician for 9 hours = 24 x 9

                                                              = $ 216

Wage of plumber for 6 hours = 42 x 6

                                                 = $ 252

So total wage = 216 + 252 = $ 468

Hence , the electrician makes $ 216 and plumber makes $ 252

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A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute

Answers

Answer:

D:  Acute triangle

Step-by-step explanation:

First check whether this could be a right triangle.  Using the Pythagorean Theorem, we get:

5^2 + 6^2 = ? = 7^2      This equation is not true, and therefore the triangle is not a right triangle.

The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute.  Answer D is correct:  This is an acute triangle.

Answer: D) Acute

Step-by-step explanation:

Based on the graph, what is the initial value of the linear relationship?

A coordinate plane is shown. A line passes through the x axis at negative 3 and the y axis at 5.

−4
−3
five over three
5

Answers

Answer:  The slope is five over three

Step-by-step explanation:

The equation for this graph would be:  y= 5x/3 +5

Answer:

5

Step-by-step explanation:

Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.

Hope this helps :)

the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac

Answers

Answer:

Step-by-step explanation:

Using Pythagoras theorem,

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 15^2

AC^2 = 16 + 225

AC^2 = 241

AC = √241

in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?

Answers

Answer:

2775.9  

Step-by-step explanation:

options are

A) 578

B) 2775.9

C) 134.591

D) 31.757

Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal

0.5 = 5/10

ten times of this value = 5/10*10 = 5

Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.

In the given question

A) 578

here 5 is at hundredth place

other way to represent is is 500+70+8

B) 2775.9

here 5 is unit place and is correct option

it can be represented as

2000+ 700+ 70+ 7 + 9/10

c)C) 134.591

here 5 is tenth place after decimal

it can be represented as

100+ 30+ 5 + 5/10+9/100 + 1/1000

d)31.757

here 5 is hundredth place after decimal

it can be represented as

30+ 1 + 7/10+5/100 + 7/1000\

Hence, 2775.9  is correct choice.

Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.

A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.

Which statement describes the slope of a graph of the data?

For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.

Answers

Answer:

For each additional pound, the price increases $1.50.

Step-by-step explanation:

Lets find the slope of the graph of othe given data.

Let x be the weight of pumpkin in pounds

Let y be the price of the pumpkin in dollars.

For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)

For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)

Find the slope between these points

m = y₂ - y₁ / x₂ - x₁

m = 12 - 6 / 8 -4

m = 6/4

m = 1.5

Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars

Answer:

B

Step-by-step explanation:

Which graph or equation represents a no proportional relationship?

-A
-B
-C
-D

Answers

Answer:

Graph A is not proportional

Step-by-step explanation:

To have a proportional relationship, the line must go through (0,0)

Graph A does not go through (0,0) so it is not a proportional relationship

To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?

Answers

Answer:

30.24/16= $1.89 per gallon = c/g

Step-by-step explanation:

c = $30.24

g = 16

Divide c/g

Answer:

g gallon = $1.89 g

Step-by-step explanation:

Gallon = g

16 gallons = 16 g

Cost = $30.24

So,

16 gallons = $30.24

1 gallon = $30.24/16

1 gallon = $1.89

g gallon = $1.89 g

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can we choose a Senator from a chosen state?

Answers

Answer:

  2

Step-by-step explanation:

A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.

You are playing a board game. All even numbers are positive, and all odd numbers are negative. A positive number indicates forward movement, and a negative indicates backward movement. During your last 10 turns, you have gone back 90 spaces. if you spun the same number each time which number did you spin?

Answers

Answer:

Step-by-step explanation:

We khow that a positive number means going forward whereas a negative one means going bachward positive ⇒even  negative⇒oddwe moved 90 spaces back so we are dealing with a an odd number we played ten times

Let o be the number we spinned ten times :

90= 10 o0= 90/10 o=9

We spinned 9 ten times

literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

Answers

Answer:

n = 1/2

Step-by-step explanation:

So the equation is 4/5n - 1/5 = 2/5n.

So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

Answer:

n = 2

Step-by-step explanation:

=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]

Combining like terms

=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]

Cross Multiplying

=> 5n = 2*5

=> 5n = 10

Dividing both sides by 5

=> n = 2

С
Use the geometric mean (leg) theorem. What is the
value of a?
b
A
0 72
h
02770
6
a
O 2015
705
14
B
Intro
Done

Answers

Answer: it is a

Step-by-step explanation:

Please help me out i need it ASAP

Answers

Answer: C

Step-by-step explanation:

5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)

Your answer will be letter d

In the figure, O is the center, PT and PR are tangents, and
mZTOR = 150°. If OR = 6 cm, then what is the measure of
ZTPR?
a. 210°
b. 30°
c. 105°
d. 15°

Answers

Answer:

  b. 30°

Step-by-step explanation:

In quadrilateral OTPR, angles O and P are supplementary.

  angle P = 180° -angle O = 180° -150°

  angle P = 30° . . . . matches choice B

How many terms are in the following expression 55+ 14n -2m +3p

Answers

Answer:

4 terms

Step-by-step explanation:

There are 4 terms in the given expression:

=> 55

=> 14n

=> -2m

=> 3p

The question and pic is on the picture I took a picture of

Answers

Answer:

m<y = 155

Step-by-step explanation:

If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)

Answer:

155°

Step-by-step explanation:

The two angles are a pair of vertically opposite angles.

Verticall opposite angles are opposite to each other and are equal.

Angle x = Angle y

155 = 155

what is pi rounded to the nearest 15th

Answers

Answer:

3.1415926535 8979

Step-by-step explanation:

bruh just search it in google

PLSSSSSSSS HELP (2 + 7i) - (6 + 8i) + (10 - 10i)

Answers

Answer:

6-11i

Step-by-step explanation:

(2 + 7i) - (6 + 8i) + (10 - 10i)

Distribute the minus sign

(2 + 7i) - 6 - 8i + (10 - 10i)

Combine like terms

2-6 +10     +7i-8i-10i

6                 -11i

which expression is equivalent to 3 1/3?

Answers

Answer:

your answer is "A" 1/3

Step-by-step explanation:

A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ

Answers

Answer: Neither angle measures nor segment lengths

The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm.
Approximately how much space is in between the two spheres?
A. 61 cm³
B. 113.1cm³
C. 255.5 cm³
D. 766.6 cm³​

Answers

Answer:

Step-by-step explanation:

reqd. space=difference of volumes=4/3 πR³-4/3πr³=4/3π(R³-r³)

=4/3 π(5³-4³)

=4/3 π(125-64)

=4/3π(61)

≈255.5 cm³

i’m pretty sure the answer would be C

Find the measure of the angel. n=_°

Answers

Answer:

n = 25°

Step-by-step explanation:

All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:

90 + (n + 40) + n = 180.

Then we combine like-terms and subtract:

130 + 2n = 180,

2n = 50.

Then we divide by 2 to get our answer:

n = 25.

To double check, we insert 25 as our value:

90 + (40 + 25) + 25 = 180.

What is the simplest form of 3/27a2b7?
3ab? (VD)
3abº (V3ab
O gab? (VD)
9ab33ab
Can someone help me plz?:)

Answers

Answer:

the solution is A

Step-by-step explanation:

[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]

[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]

Answer:

3ab^2(3/b)

THE ANSWER A

Step-by-step explanation:

2020 HEHE

Square ABCD has vertices at A(-1,3) B(0,7) C(4,6) and D(3,2). How many units is the perimeter of square ABCD

Answers

Answer:

16.492422502 units or 4√17 units

Step-by-step explanation:

The Perimeter of a Square can be defined as the Addition of it's 4 sides or the Multiplication of 4 and one of its sides.

This means,

The perimeter of square = a + b + c + d

or

4 × any of the sides because the sides of a square are equal to one another.

In the above question, we are given vertices at A(-1,3) B(0,7) C(4,6) and D(3,2)

The formula to solve for this is

√(x2 - x1)² + (y2 - y1)² when you have vertices: (x1 , y1 ) and (x2 , y2)

For Side AB: A(-1,3), B(0,7)

= √(x2 - x1)² + (y2 - y1)²

= √(0- (-1))² + (7 - 3)² = √1² + 4² = √1 + 16 = √17

For Side BC: B(0,7), C(4,6)

√(x2 - x1)² + (y2 - y1)²

= √(4 - 0)² + (6 - 7)² = √4² + 1² = √16 + 1 = √17

For Side AD : A(-1,3), D(3,2)

= √(x2 - x1)² + (y2 - y1)²

= √(3- (-1))² + (2 - 3)² = √4² + (-1)² = √16 + 1= √17

For Side CD: C(4,6), D(3,2)

= √(x2 - x1)² + (y2 - y1)²

= √(3 - 4)² + (6 - 2)² = √-1² + 4² = √1 + 16 = √17

From the above calculations we can side that sides AB = BC = AC = CD

Hence the perimeter of square ABCD can be calculated as 4 × √17 or √17 + √17 + √17 + √17

= 16.492422502 units or 4√17 units

What number should replace the question mark?

Answers

Answer:

Just a guess but I think 5

Step-by-step explanation:

The top right square on all boxes is the difference of the second box and the first box which equals the third box. This rule is applied to all of the other boxes so if I'm not wrong the question mark should be 5

Answer:es el #5

Step-by-step explanation:

;)

Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.

Answers

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.

What is the parabola?

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

Where a is the leading coefficient.

Consider functions f and g below.  

g(x) = –x² + 2x + 4

The function can be written as

g(x) = –(x – 1)² + 5

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.

Then the correct option is C.

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Help please, Mathematics!

Answers

Answer:

B. 3,300

Divide 28,875 by 109,800,724.

Answer:

B

Step-by-step explanation: I divide 109,800,724 and 28,875. I used calculator and estimated

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