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3 years ago

Work out the area of this circle radius 10cm take pie to be 3.142 and write down all the digest given by your calculator

Mathematics

2 answers:

Crazy boy [7]3 years ago

8 0

Answer:

314.2 cm²

Step-by-step explanation:

A = π·r²

= 3.142·10²

= 3.142·100

= 314.2 cm²

Alika [10]3 years ago

7 0

Answer:

314.2

Step-by-step explanation:

Area of a circle is: πr²

if radius is 10 then A = π*10² = 3.142 *100 =

314.2

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Given ∆ABC with vertices A(−4, −3), B(0, 0), C(2, −3) and ∆DEF with vertices D(3, 1), E(6, -3), F(3, −5), use the definition of

dimaraw [331]

By SSS congruency criteria ΔABC ≅ ΔDEF

<h3>What is congruency?</h3>

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The given vertices of the triangles are;

ΔABC: A(−4, −3), B(0, 0), C(2, −3)

ΔDEF: D(3, 1), E(6, -3), F(3, −5)

The lengths of the sides of ΔABC are

AB = √((0+4)² + (0+3)²) = √25 = 5

BC = √((2-0)² + (-3 - 0)²) = √13

AC = √((2+4)² + (-3 +3)²) = √36 = 6

The lengths of the sides of ΔDEF are;

DE = √25=5

EF = √13

DF = √36 = 6

As,

AB= DE, BC = EF , AC= DF

So, By SSS congruency criteria ΔABC ≅ ΔDEF

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6 0

2 years ago

The Bernards are trying to determine their babysitter's rates but are to embarrassed to just ask her. They were charged $20 for

Alina [70]

Answer:

A = 5.5t + 9

Step-by-step explanation:

We assume that the relationship between t and A is linear.

We have two points on a line: (2, 20) and (4, 31).

We now find the equation of the line.

A = mt + b

m = (31 - 20)/(4 - 2) = 11/2 = 5.5

20 = 5.5(2) + b

20 = 11 + b

b = 9

A = 5.5t + 9

3 0

3 years ago

Plastic cups come in packages of 24 and straws come in packages of 20, whats the smallest number of each that could be bought so

Aleks04 [339]

Answer:

120

Step-by-step explanation:

No. of plastic cups = 24

No. of straws =20

We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.

Prime factrisation of 24 = 2×3×2×2

Prime factorisation of 20 = 2×5×2

LCM = 120

Hence, the smallest number of each type will be 120.

6 0

3 years ago

Does it matter what interval you use when you find the rate of change of a proportional relationship

LekaFEV [45]

Proportions are the comparison of two equal ratios. Therefore, proportional relationships are relationships between two equal ratios. So yes, it does matter.. I<span>nterval: all the numbers between two given numbers.</span>

7 0

3 years ago

An observer standing on a cliff 320 feet above the ocean measured angles of depression of the near and far sides of an island to

Gnesinka [82]

Answer:

154.10 Feets

Step-by-step explanation:

Given the following :

Height (h) of cliff = 320 feet

Angle of depression of near side = 16.5°

Angle of depression of far side = 10.5°

Using trigonometry :

We can obtain x and y as shown in the attached picture :

Tanθ = opposite / Adjacent

Adjacent = height of cliff = 320 Feets

For the near side :

Tanθ = opposite / Adjacent

Tan (16.5°) = x / 320

0.2962134 = x / 320

x = 0.2962134 * 320

x = 94.788318 Feets

For the far side :

Tanθ = opposite / Adjacent

Tan (10.5°) = x / 320

0.1853390 = x / 320

x = 0.1853390 * 320

x = 59.308494 Feets

Length of island = (59.308494 + 94.788318) feet

= 154.10 Feets

5 0

3 years ago