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vitfil [10]
3 years ago
9

Help me solve this (pls show working)

Mathematics
1 answer:
maksim [4K]3 years ago
6 0

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2

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True or false a function can not have a repeat values in the range
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Answer:

False. false false false false

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3 years ago
A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to
Varvara68 [4.7K]

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

= 25 wooden boards

6 0
3 years ago
#17. The height, H metres, of a certain species of Fir
olya-2409 [2.1K]

Answer:

The approximated height of the tree is of 112 meters.

Step-by-step explanation:

The height of a tree with a base diameter of d meters is approximated by the following formula:

h = 35d

In this question:

Base diameter of 3.2m, so d = 3.2, and the height is in meters.

h = 35d = 35(3.2) = 112

The approximated height of the tree is of 112 meters.

7 0
2 years ago
100 pts Eight stuffed animals need to be arranged in a line. There is one bear and one zebra. What is the exact probability that
shtirl [24]

Answer:

1/56

Step-by-step explanation:

P( bear  is first) = bear/ total = 1/8

Then there are 7 animals left

P( zebra is 2nd) = zebra /total = 1/7

P( bear, then zebra) = 1/8 * 1/7 = 1/56

3 0
3 years ago
Read 2 more answers
NEED HELP FAST<br> 30nPOINTS FOR BRAINLIEST<br><br><br> √5x + √6 = √9
vodka [1.7K]

\sqrt{5x} + √6 = √9


The first step is to get \sqrt{5x} by itself. We can do this by subtracting \sqrt{6} from each side, and simplifying \sqrt{9}


\sqrt{5x} = 3 - \sqrt{6}


Now we square both sides


5x = (3 - \sqrt{6})²


Using the formula (a - b)² = a² -2ab + b², (3 - \sqrt{6})² = 15 - 6\sqrt{6}


5x = 15 - 6\sqrt{6}


x = \frac{15 - 6\sqrt{6}}{5}

8 0
3 years ago
Read 2 more answers
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