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2 years ago

34. The diagram shows a sector of a circle of radius 10 cm.

Mathematics

2 answers:

Sergio [31]2 years ago

8 0

Answer:

rc length = 10 * 8pi/5

= 16pi

This is the circumference of the base

(a) 2pir = 16pi where r = radius of base

2r = 16

r = 8 cm

(b) 10^2 = h^2 + 8^2

h^2 = 100 - 64

= 36

h = 6 cm

fiasKO [112]2 years ago

5 0

Answer:

rc length = 10 * 8pi/5

Step-by-step explanation:

= 16pi

This is the circumference of the base

(a) 2pir = 16pi where r = radius of base

2r = 16

r = 8 cm

(b) 10^2 = h^2 + 8^2

h^2 = 100 - 64

= 36

h = 6 cm

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3 0

2 years ago

A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles

JulijaS [17]

Answer:

Part A: m+1.37=7.9

Part B: 6.53 miles are left to be repaired.

Step-by-step explanation:

Given,

Length of repaired part = 1.37 miles

Total length to be repaired = 7.9 miles

Miles left to be repaired = m

Part A:

Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.

Miles left to be repaired + Length of repaired part = Total length to be repaired

m+1.37=7.9

Part B

How many miles are left to be repaired?

Subtracting 1.37 from both sides

6.53 miles are left to be repaired.

Keywords: length, subtraction

Step-by-step explanation:

6 0

2 years ago

How do you solve this?

Katarina [22]

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}$