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jolli1 [7]
3 years ago
7

In art class, Ms. Ward has students draw a tile at random from a bag of tiles. Each tile has a shape drawn on it, and students m

ust center their art project around the shape they draw. If the bag contains a rectangle, rhombus, regular hexagon, trapezoid, and isosceles triangle, what is the probability that a student draws a shape with all sides congruent?
Mathematics
1 answer:
statuscvo [17]3 years ago
7 0
Two in five chance of drawing a shape with all sides congruent
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The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

6 0
2 years ago
Read 2 more answers
The number -3 can be classified as which of the following?
sp2606 [1]

<u>Answer</u>:

-3 is an integer, rational number and real number , so correct option id D) that is all of the above.

<u>Explanation:</u>

Integer is all natural number  that a 1 , 2 , 3 , 4 ……. And zero and negative of natural numbers like -1 , -2 , -3 , - 4 ……. So -3 is an integer.

Rational number is the number which can be represented in the form of p/q where p and q are integers and q ≠ 0 . As -3 can be represented as (-3)/1 . hence -3 is also a rational number.

Real number is all number which can be represented on number line. All integers and rational numbers are real numbers . so -3 is also a real number.

Hence as -3 is an integer, rational number and real number , so correct option id D) that is all of the above.

5 0
3 years ago
Which shows the correct first step to solving the system of equations in the most efficient manner? 3 x + 2 y = 17. x + 4 y = 19
Anton [14]

Answer:

a.)x = negative 4 y + 19

Step-by-step explanation:

i got it right on e2020 lol

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.
jok3333 [9.3K]

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

8 0
3 years ago
A triangle has one angel that measures 51 degrees and one angle that measures 39 degrees. what kind of triangle is it?
sp2606 [1]
Those two angles are complementary - which means they both give us 90 degrees. We know that all three angles in any triangle must be exactly 180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means that our triangle is a <u>straight triangle</u>. The figure will look more less like in the attachment.

6 0
3 years ago
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