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ryzh [129]
3 years ago
8

Am stuck on this question and show your working please.

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

1. 6pi or 18.84cm

2. 20pi or 62.8cm

3. 13pi or 40.82cm

4. 9.5pi or 29.83cm

5. You calculate the circumference of a circle with the expression 2pi(r). r stands for the radius. You can also use pi(d), or pi x diameter.

7. You would use 2pi(r) to find the circumference of a circle when given the value of the circle's radius.

8. You would use pi(d) to find the circumference of a circle when given the value of the circle's diameter.

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If a heptagon has an area of 105 in2, what is the measure of one side ?
kumpel [21]

Answer:

5.38 inches

Step-by-step explanation:

The formula for Area of an Heptagon

= A=7/4a²cot(180°/7)

Area = 105in²

Side a = ?

The formula for Side a

= √4A ×tan (180°/7)/7

= √4 × 105 × tan (180°/7) /7

= 5.37536 inches

Approximately = 5.38 inches.

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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

Learn more about this concept here:

brainly.com/question/6563819

#SPJ1

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Step-by-step explanation: hope it helps

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In an 80/20 mortgage, what is the first mortgage used for?
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