Maggie found the area of the irregular figure by dividing it into a triangle and a rectangle.


A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 centimeters and height of 5 centimeters. The triangle has a base of 3 centimeters and height of 2 centimeters.


Her work is shown below.


Area of rectangle = bh = (6 cm)(5 cm) = 30 Centimeters squared

Area of triangle = bh = (2 cm)(3 cm) = 6 Centimeters squared

Area of entire figure = 30 Centimeters squared + 6 Centimeters squared = 36 Centimeters squared


Which best describes the error that Maggie made?

She didn’t use the correct formula for the area of the triangle.

She didn’t use the correct formula for the area of the rectangle.

She didn’t find the dimensions of the triangle correctly.

She didn’t combine the areas of the triangle and the rectangle correctly

Answer:

They will both have a height of 16 inches in 4 days.

Step-by-step explanation:

Hope this helps :D

Answer:

try to solve 4y-2=18 which equals 5

then solve 2x+8=22 which equals 7

Step-by-step explanation:

Area of rectangle= l x b

= 245 x 245

=60025

Area of triangle = (1/2) x b x h

=(1/2) x 245 x 245

=30012.5

Area of shaded part = Area of rectangle - Area of triangle

=60025 - 30012.5

=30012.5

Answer:

a. a = 3, b = 2

b. The coordinate of the center is (2, -1)

c. The eccentricity of the ellipse is √5/3

d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) =  25 + 11 = 36

4·(x - 2)² + 9·(y + 1)² = 36

[tex]\dfrac{4\cdot (x - 2)^2}{36} + \dfrac{9 \cdot (y + 1)^2}{36} = \dfrac{36}{36}[/tex]

[tex]\therefore \dfrac{ (x - 2)^2}{9} + \dfrac{ (y + 1)^2}{4} = \dfrac{ (x - 2)^2}{3^2} + \dfrac{ (y + 1)^2}{2^2} = 1[/tex]

By comparison, a = 3, b = 2, h = 2, k = -1

b. The coordinate of the center, (h, k) = (2, -1)

c. The eccentricity of the ellipse = c/a

c² = a² - b²

∴ c² = 3² - 2² = 5

c = √5

Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

Answer:

it depends on how many females are there

Step-by-step explanation:

I need to know how many females are there

Answer: If there are x total members, then the number of males is 5/8x

Answer:

✺ [tex] \large \tt \: E \: X\: P\: L\: A \: N \: A \: T \: I \: O\: N : [/tex]

☃ [tex] \large{ \tt{GIVEN \: EQUATION}} : [/tex]

[tex] \large{ \bf{↬y = 3x + 5}}[/tex] [ Move 3x from left hand side to right hand side and change it's sign to addition since the opposite of subtraction is addition ]

[tex] \boxed{ \large \:⟿ \tt \:Slope \: (m) = \boxed{ \tt{3} }}[/tex]

[tex] \boxed{ \large { \tt{⟿ \: Y - intercept \: (c \: ) = \boxed {\tt{ 5}}}}}[/tex]

☏ And we're done! Yay , We found our answer !

♕ [tex] \large{ \tt{STUDY \: TIP}}[/tex]

♡ Hope I helped! ✎

☄ Have a wonderful day / night ! ☂

#StayInAndExplore ! ♨

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

1.) -6, |-3|, -3, 6, |-9| __ |-9|, -6, -3,|-3|, 6

2.) -8, |-5|, -4, |3|, 6 __ -8, |-5|, -4, |3|, 6

3.) -4, |-2|, |3|, 5, |-7| __ |-7|, -4, |-2|, |3|, 5

4.) |-6|, -4, |-2|, -1, 0 __ |-6|, -4, |-2|, -1, 0

Step-by-step explanation:

2.) -8, |-5|, -4, |3|, 6 __ -8, |-5|, -4, |3|, 6

4.) |-6|, -4, |-2|, -1, 0 __ |-6|, -4, |-2|, -1, 0

Both are listed from least to greatest

Answer:

0.0952

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Volume of cylinder = 2πrh = 2π(4)(6) = 48π

Volume of cone = πr²h/3

Height of cone = √(5² - 3²) = 4

Volume of cone = π(3²)(4)/3 = 12π

Cones to fill cylinder = 48π ÷ 12π = 4

Answer:D

Step-by-step explanation:

I'm prolly wrong so sorry

Answer:

I think it's 'D'

hopefully it's correct!

Answer:

Equation: 3.75x+58=226.75

Step-by-step explanation:

Answer:

Equation: 3.75x + 58 = 226.75

x = 45

Step-by-step explanation:

DeltaMath

Answer:

if you solve the question please i request you please read the question carefully after solve the question

Answer:

Sum of angles of a triangle is 180, so x + y + w = 180

Straight angle is 180 , so y + z = 180

From the first 2 conditions :

=>x + y +w = y + z

=> x + w = z  

Option 1, 2, 5

The equations which are true are given by,

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.

Here all interrior angles of triangle are x,y,w

So, x+y+w = 180

Hence first option is correct.

Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.

here exterrior angle is z and opposite two interrior of z are x,w

So, w+x = z

Hence last option is correct.

Again y+z = y+w+x

so second option is also true.

Hence correct options or equations are given by:

Learn more about Equation here -

https://brainly.com/question/13763238

#SPJ2

Answer:

y = -1/2x - 1

Step-by-step explanation:

We can use the point-slope form of the equation:

y-y1 = m(x-x1)

Where the given y1 = -2, x1 = 2, and m = -1/2. This yields:

y - (-2) = -1/2(x - 2)

y + 2 = -1/2x + 1

y = -1/2x +1 - 2

y = -1/2x - 1

-7 and - 9

Step-by-step explanation:

Area of rectangule is length * width

Answer:

7/8

Step-by-step explanation:

Andrea recipe for cranberry relish is

1 3/4

= 7/4

He wants to use 1/2 of that amount

Therefore the amount of sugar he should use can be calculated as follows

= 7/4×1/2

= 7/8

Answer:

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Step-by-step explanation:

Given :-

We need to find the solution set for the given inequality . So , on solving it , we have ,

[tex]:\implies[/tex] 4m + 6 < 2

[tex]:\implies[/tex] 4m < 2 - 6

[tex]:\implies[/tex] 4m < -4

[tex]:\implies[/tex] m < -4/4

[tex]:\implies[/tex] m < -1

Hence m can have all values less than -1. Therefore the final answer is ,

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Hence m can have all values less than-1.

Answer:

1.

Step-by-step explanation:

Take two points off of the line. I will use

(1, -2) and (4, 1).

Put them into the slope formula, which is (refresh if you cannot see.)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values.

[tex]\frac{1-(-2)}{4-1}[/tex]

Subtract both the numerator and the denominator.

[tex]\frac{3}{3}[/tex]

Simplify to get

1.

The slope of the line provided is 1.

Answer:

A

Explaination: you are just rotating the rhombus

Answer:

a. Rhombus ABDC is congruent to rhombus A'B'C'D

Step-by-step explanation:

the area/angles of ABCD did not change after rotation(becoming A'B'C'D)

Answer:

A

Step-by-step explanation:

First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9

Answer:

it is eightyseven money

Answer:

1st option is correct

Step-by-step explanation:

Answer:I think its Shannon

Step-by-step explanation:

Answer:

175 cm

Step-by-step explanation:

Step-by-step explanation:

Answer:

2a-2b

Step-by-step explanation:

2(a-b)         use distributive property

2a-2b        

hope this helped :)

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.

b = base

h = height

A = [tex]\frac{1}{2}[/tex](6)(8)

A = 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.