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Mathematics

2 answers:

MakcuM [25]2 years ago

8 0

Answer:

a. ratio of side length to perimeter 1:4

b. ratio of perimeter to side length 4:1

c. ratio of radius to diameter 1:2

d. ratio of diameter to radius 2:1

e. ratio of people to tables 5:1

f. ratio of tables to people 1:5

Illusion [34]2 years ago

3 0

Ratio of side length to perimeter 1:4
ratio of perimeter to side length 4:1
ratio of radius to diameter 1:2
ratio of diameter to radius 2:1
ratio of people to tables 5:1
ratio of tables to people 1:5

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In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.

kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

$\frac{u}{sinU} = \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}$

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

$\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in$