MATHEMATICS MIDDLE SCHOOL

You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work the degree is 45

Answers

Answer 1
Answer:

The area of one of the triangles on the face of the cupboard is A = 13 8/9 inches²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the height of the triangle is h = 16 2/3 inches

The base of the triangle is b = 16 2/3 inches

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

So , the total area of the cupboard C = 250/9

A = ( 1/2 ) x 250/9

A = 125/9 inches²

Hence , the area of the triangle is A = 125/9 inches² = 13 8/9 inches²

To learn more about triangles click :

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Answer 2
Answer: 16 2/3 * 16 2/3 = 50/3 * 50/3 = 250/9
250/9 ÷ 2 =125/9 = 13 8/9

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What is the least common multiple (LCM) of 6 and 8?A. 24
B. 48
C. 16
D. 2

Answers

the answer is a 24 Method
 The LCM of 6 and 8 is 24, which is the multiple of the highest power of all prime factors from both numbers
6 = 2 x 3
8 = 2 x 2 x 2 x 3 = 23 x 3
Highest multiple of 2 = 23 = 8
Highest multiple of 3 = 3

(23 x 3 = 8 x 3 = 24).

Small Numbers Method (trial and error)
Start listing the multiples
6 multiples- 6, 12, 18, 24
8 multiples- 8, 16, 24
The LCM of 8 and 6 is 24.
he multiples of 6 are : 6, 12, 18, 24, 30, . . . The multiples of 8 are : 8, 16, 24, 32, 40, . . . So, the Lowest Common Multiple is 24.

A. 24

A piece of stained glass in a shape of a right triangle has side measuring 8 centimeters 15 centimeters and 17 centimeters. What is the area of the piece

Answers

60cm²
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Inequalities

Answers

The answer to this question is the one on the left then the right then the one sign is the correct answer
Answer: 35x+20≥1,000; x ≤28


Explanation:

There is already 20 bags and 35 bags are filled per hour. So 35 is the rate of change and 20 is the constant

35x+20 ≥1,000
-20 -20

35x ≥980
Divide both sides by 35 to isolate x
=28

Flip the sign because you divided

x≤28

during the run she drinks 4 bottles of water containing 750ml each how many litres of water has she drank in total in litres

Answers

The correct answer to this question is 3 liters. If over the course a run, a girl drinks four bottles of water which each contain 750ml, then the equation to calculate this would be 0.75 x 4. This of course equals 3, so you have your answer of 3 liters.

Please help with this question

What is the numerical value of 8b when b=0.5

Answers

Answer 4

Step-by-step explanation:

You multiply 8 times .5 because the b is connected to the 8, so you just do 8*5 then move the decimal point over.

Answer: 4
So you do 8x0.5, which is 4

A square tile measures 12 inches by 12 inches. Each unit on a coordinate grid represents 1 inch. (1,1) and (1,13) are two of the coordinates of the tile drawn on the grid. What are the coordinates of the other two vertices

Answers

The coordinates of the other two vertices are (13,1) and (13,13)

∵ the square tile is 12 inches on each side.

What is coordinate geometry?

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes. Usually represented by (x,y) the x-value and y-value.

Learn more about  coordinate geometry here: brainly.com/question/4245168

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The two other points would be (13,1) and (13,13) because the square tile is 12 inches on each side.
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