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3 years ago

7. A triangle has sides with lengths of 10 metres,

Mathematics

1 answer:

Kay [80]3 years ago

7 0

Answer:

It is not a right triangle.

Step-by-step explanation:

We can prove this by Pythagorean theorem because it represents to a right triangle.

Pythagorean theorem:

a² + b² = c²

Now substitute the values.

Note: the longest side will represent c

So,

a = 10 m

b = 16 m

c = 20 m

10² + 16² = 20²

The objective here is to make them equal.

100 + 256 = 400

356 ≠ 400

They are not equal so it is not considered a right triangle.

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20 girls and 32 boys volunteer to plants trees at a school. The principal divides the girls and boys into identical groups that

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20 the gcf (greatest common factor ) is 20

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2 years ago

Mr Avery Needs to repaint the outside of his house. He estimates that the area he needs to paint is about 1600 Each gallon of pa

Tju [1.3M]

Answer:

Mr. Avery will need to buy 5.4 gallons of paint.

Step-by-step explanation:

We have been given that Mr. Avery estimates that the area he needs to paint is about 1600 and each gallon of paint will cover about 250 sq feet.

So to find the number of gallons of paint needed to paint the outside of house we will divide total area to be painted (1600 sq. ft) by area covered by gallon of paint.

$\text{The number of gallon required to paint}=\frac{\text{Area of the house to be painted}}{\text{Area painted by 1 gallon of paint}}$

Since Mr. Avery has 1 gallon of paint left over from the last time he painted that he can use this time, so Mr. Avery will need one gallon less. We can represent this information as:

$\text{The number of gallon required to paint}=\frac{\text{Area of the house to be painted}}{\text{Area painted by 1 gallon of paint}}-1$

Upon substituting our given values in above equation we will get,

$\text{The number of gallon required to paint}=\frac{1600\text{square ft}}{\text{250 square ft}}-1$

$\text{The number of gallon required to paint}=6.4-1$

$\text{The number of gallon required to paint}=5.4$

Therefore, Mr. Avery will need to buy 5.4 gallons of paint.

4 0

3 years ago

Choose the correct simplification of the expression a^2*a^3

rusak2 [61]

$a^2\cdot a^3=a^{2+3}=a^5$

Why?

$a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^2\cdot a^3=\underbrace{(a\cdot a)}_{2}\cdot\underbrace{(a\cdot a\cdot a)}_{3}=\underbrace{a\cdot a\cdot a\cdot a\cdot a}_{2+3=5}$