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3 years ago

Help with this question please

Mathematics

1 answer:

Allisa [31]3 years ago

8 0

Step-by-step explanation:

The LKM angle is an enclosed angle. So its size is half the arc facing it.

LKM (angle) = ½ LM (arc)

The LMN angle is a shadow angle. So its size is half the size of the arc facing it.

LMN(angle) = ½ LM(arc)

so:

LKM = LMN

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Arisa [49]

(a) One possibility is 8.45

Rounded to the nearest integer = 8

Rounded to the nearest tenth = 8.5

And rounding this to the nearest integer = 9

(b) The possible numbers are 8.45 to 8.49, inclusively

3 0

3 years ago

Read 2 more answers

A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?

Digiron [165]

Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
Let p be the profit percent.
3000 x (1 + p) = 3360
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4 years ago

A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend

Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b² + (5 + x)²...............(1)

using similarity of triangle

$\dfrac{x}{6}=\dfrac{5+x}{b}$

$b=\dfrac{5+x}{x}6$

from equation (1)

$L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2$

$= (5+x)^2(1+\dfrac{36}{x^2})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})$

for maxima or minima

$\frac{\mathrm{d} L^2}{\mathrm{d} x}=0$

x = -5 and x = ∛190 = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

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3 years ago

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Natali5045456 [20]

Answer:

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3 years ago

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dalvyx [7]

Answer:

280.8 and the formula is Base x Height = ? x.5

Step-by-step explanation:

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3 years ago

Help with this question please​

Help with this question please