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2 years ago

For homework Tina is asked to write down the opposite value for each number listed which comparison did Tina write incorrectly

Mathematics

1 answer:

katovenus [111]2 years ago

7 0

In writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X

<em><u>Recall:</u></em>

Opposite values of a number are numbers that are of the same distance from point zero on a number line.

For example, if a is a number, the opposite of a is -a. Or if -3 is a number, the opposite of -3 is 3 because -3 and 3 are both 3 units away from point zero on a number line.

Thus, Tina's comparison is given in the diagram attached below.

The comparison labelled X is incorrect because -(-9) = 9. Opposite of 9 is -9.

Therefore, in writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X

Learn more about opposite value of a number on:

brainly.com/question/12427791

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Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable

wel

This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = $\frac{999,999}{6} = 166666$
N(c₂) = $\frac{999,999}{4} = 250000$
∴N(c₁c₂) = $\frac{999,999}{24} = 41667$
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4

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3 years ago

I'm don't understand polygons, as you should know

lawyer [7]

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, thus

sum = 180° × 3 = 540°

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3 years ago

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A half-circle is joined to an equilateral triangle with side lengths of 12 units. What is the perimeter of the resulting shape?

krek1111 [17]

Answer:

P = 42.84 cm

Step-by-step explanation:

A half-circle is joined to an equilateral triangle with side lengths of 12 units.

We need to find the perimeter of the resulting shape.

The perimeter of the half cirle is πr.

The diameter of the circle is 12. It means radius is 6 units.

An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :

P = πr + 12 +12

= 3.14(6) + 24

= 42.84 cm

Hence, the perimeter of the resulting shape is 42.84 cm.

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3 years ago

In her metalwork class, Anja cut a square of

Paul [167]

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

$Area=a^2$

Where, a is the edge of the square.

Area of the smaller square is:

$A_1=(3.7)^2$

$A_1=13.69$

Area of the larger square is:

$A_2=(6.3)^2$

$A_2=39.69$

The area of the remaining tin is:

$A=A_2-A_1$

$A=39.69-13.69$

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Therefore, the area of the remaining tin is 26 sq. cm.

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2 years ago

Determine the height

tangare [24]

Answer:

The height of the model is 138 cm.

Step-by-step explanation:

Simply multiply the height by the scale factor.

230*0.006

= 1.38 m

We need to convert this measure to centimeters. Centimeters are 1/100 of a meter. Therefore, we can multiply 1.38 meters by 100 to find how many centimeters it is equal to.

1.38*100 = 138

The height of the model is 138 cm.

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3 years ago

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