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3 years ago

Activity 1: missing you!

Mathematics

1 answer:

fiasKO [112]3 years ago

3 0

Answer:

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Step-by-step explanation:

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What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

mylen [45]

In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.

6 0

3 years ago

Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.

Bezzdna [24]

Answer:

The perimeter of the quarter-circle is 200 cm.

Step-by-step explanation:

Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

$arc = \frac{θ}{360} \times 2 \: \pi \: r$

Let r be radius = 56 cm,

Let θ = 90°

$arc = \frac{90}{360} \times 2 \times\pi \times 56$

$= \frac{1}{4} \times 2 \times \pi \times 56$

$= \frac{1}{2} \times \pi \times 56$

$= 28\pi \: cm$

We have already found the arc. Next we have to add up together to find the perimeter :

$p = 56 + 56 + 28\pi$

$p = 112 + 28\pi$

$p = 200 \: cm \: (3s.f)$

6 0

3 years ago

Read 2 more answers

Answer the three questions pls

Mila [183]

If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents

8 0

3 years ago

Add: (8a5+2b) + (-6a5+2b)

ser-zykov [4K]

(8a^5 +2b) + (-6a^5 +2b) = (2a^5 +4b)

hope so much that i ve understood it right theses fives are exponents of ,,a"

3 0

3 years ago

Determine the greatest common divisor of the elements of the set \[ s = \{ n^{13} - n \mid n \in \mathbb{z} \}. \]

Kay [80]

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set $S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.$

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, $n^{13} \equiv n \mod p$ if p-1 divides 12.

Since the of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in $2^{13}-2$ and $3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.$

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

5 0

3 years ago