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oee [108]
3 years ago
14

In a paddock there are emus and wombats. If there are 52 heads and 148 feet, how many emus are in the paddock?

Mathematics
2 answers:
Sati [7]3 years ago
7 0
Then x+y=52....................(1) 
<span>and 2x + 4y= 148..........................(2) </span>
<span>multiplying equation (1) by 2 </span>
<span>we get </span>
<span>2x +2y = 104............................(3) </span>
<span>subtracting equation(3) from equation (2) </span>
<span>2y=44 </span>
<span>y=22 </span>
<span>that is x=52-22=30 </span>
<span>there are 30 emus and 22 wombats</span>
zepelin [54]3 years ago
4 0
Emu have 2 feet and 1 head
 wombat has 4 feet and 1 head

E = emu
W = Wombat

E +W = 52
2E +4W = 148

E = 52-W

2(52-W) + 4W = 148
104-2W +4W = 148
104 + 2W = 148
2W = 44
W = 44/2 = 22

E = 52-22 = 30

 there are 30 Emus
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Step-by-step explanation:

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3 years ago
Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.
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Answer:

Part 1) m

Part 2) m

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

m

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arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°

m

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

m

substitute the values

m

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

m

substitute the values

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step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

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The surface area of the square pyramid will be 78.08 square inches.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

<h3 />

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

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