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MA_775_DIABLO [31]

Answer:

The area of sector GPH is 45-7r cm^

7 0

3 years ago

Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create

anastassius [24]

Pattern is the rule that guides the formation of a set.

The sequence of the first five mosaics is 5, 8, 11, 14, 17
The sequence is arithmetic
There are 32 tiles in the tenth mosaic.

From the given design, the number of tiles used is:

$T_1 = 5$

$T_2 = 8$

$T_3 = 11$

(a) The first five

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

$T_4 = T_3 + 3 = 11 +3 = 14$

$T_5 = T_4 + 3 = 14 +3 = 17$

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

(b) The type of sequence

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

(c) The number of tiles in the tenth mosaic

The nth term of an arithmetic sequence is:

$T_n = T_1 + (n - 1) \times d$

In this case:

$T_1 = 5$

$d =3$

$n = 10$

So, we have:

$T_{10} = 5 + (10 - 1) \times 3$

$T_{10} = 5 + 9 \times 3$

$T_{10} = 5 + 27$

$T_{10} = 32$

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0

3 years ago

Help me please. thank you!! <3

Veseljchak [2.6K]

We will find the missing side or Hypotenuse using the pythogoras theorem...

The theorem states that the Square of hypotenuse is equal to the sum of the square of the base and square of perpendicular.

 $\sf\:H^{2}=P^{2}+B^{2}$ 

P = 5
B = 10

$\sf\:H^{2}= {5}^{2} + {10}^{2}$

$\sf\:H^{2}=25 + 100$

$\sf\:H^{2}=125$

$\sf\:H = \sqrt{125}$

$\sf\:H = 5 \sqrt{5}$

7 0

2 years ago

What is the value of the expression below 7/10 (divide symbols) 3/8

AysviL [449]

Answer:

1 13/15

(1 whole and 13/15)

3 0

3 years ago

Define the following propositions: .p: You drive over 65 miles per hour q You get a speeding ticket Translate the following Engl

sveticcg [70]

Answer:

a.p→¬q

b.¬p→¬q

c.q→¬p

Step-by-step explanation:

p:You drive over 65 miles per hour

¬p: You do not drive over 65 miles per hour

q:You get a speeding ticket

¬q:You do not get a speeding ticket

(a) You drive over 65 miles per hour, but you do not get a speeding ticket

the first sentence is p and because the consequence is the opposite of q then is no q

p→¬q

(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket

The first sentence is the opposite of p (¬p), and the second sentence is the opposite of q

¬p→¬q

(c) You get a speeding ticket, but you did not drive over 65 miles per hour.

The first one is q, and the second one is the opposite of p so

q→¬p

5 0

3 years ago