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malfutka [58]
3 years ago
15

CAN SOMEONE HELP ME PLEASE ASAP!?

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

last option

Step-by-step explanation:

b) 1/6 = 16.7 to 1dp

c) 45% = 45/100 = 9/20

d) 7/9 = 77.8% to 1dp

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Answer:

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distributive property:

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What is the length of LJ?
Fofino [41]

Option D:

The length of LJ = 3.5

Solution:

In the triangle LJK,

LK = 9, ∠K = 23°, ∠J = 89°

To find the length of LJ:

<u>Law of sine: </u>

A, B, C are the angles of the triangle and

a, b, c are the sides of the triangle.

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

Here for ΔLJK,

The side opposite to angle L is <em>l</em>.

The side opposite to angle J is <em>j</em>.

The side opposite to angle K is <em>k</em>.

$\frac{l}{\sin L}=\frac{j}{\sin J}=\frac{k}{\sin K}

Take only two sides.

$\frac{9}{\sin 89^\circ}=\frac{LJ}{\sin 23^\circ}

$9\times \sin 23^\circ=LJ \times\sin 89^\circ

$9\times0.3907=LJ \times0.9998

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$LJ=\frac{3.5163}{0.9998}

$LJ=3.51

LJ = 3.5 (approximately)

Option D is the correct answer.

The length of LJ = 3.5.

6 0
3 years ago
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