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3 years ago

In ΔTUV, u = 17 cm, ∠T=11° and ∠U=103°. Find the length of t, to the nearest centimeter.

Mathematics

2 answers:

Dafna1 [17]3 years ago

6 0

Answer:

3.33 cm

Step-by-step explanation:

We need to use the Law of Sines to solve this, which states that for a triangle with lengths a, b, and c and angles A, B, and C:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

Here, we can say that a = 17, A = 103, and B = 11 and we want to find b:

$\frac{17}{sin(103)} =\frac{b}{sin(11)}$

b * sin(103) = 17 * sin(11)

b ≈ 3.33 cm

The answer is about 3.33 cm.

Readme [11.4K]3 years ago

4 0

Answer:

3 cm

Step-by-step explanation:

Using sine law

u/sinU = t/sinT

t = sinT × u/sinU

t = sin(11) × 17/sin(103)

t = 3.3290769479

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Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

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3 years ago

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Vanyuwa [196]

Answer:

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A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area o

mote1985 [20]

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula $area=\frac{1}{2}*base*height$ to find the area of each triangle. Then we will add both the areas to find the area of the kite.

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3 years ago

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£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much

geniusboy [140]

Answer: Paul gets £186

Step-by-step explanation:

Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.

1/2 * 1/3 = 1/6

So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.

1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6

Now, divide 620 by 1 4/6 to find Malachy’s amount.

620/1 4/6 = 372

Now, divde 372 by 2 to get Paul’s amount.

372/2 = 186

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3 years ago