In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Find the length of s, to the nearest centimeter.

Need help ASAP

Westkost [7]

Answer:

1.333 repeated

Step-by-step explanation:

8 0

2 years ago

two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe

sveta [45]

Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.

Thus,

a. To determine the distance of the first biker from the parking lot.

Let the required distance be represented by x. Applying the Pythagoras theorem, we have:

$hyp^{2}$ = $adj 1^{2}$ + $adj 2^{2}$

$x^{2}$ = $8^{2}$ + $15^{2}$

= 64 + 225

= 289

x = $\sqrt{289}$

= 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

Let the required distance be represented by x. So that applying the cosine rule, we have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos θ

$x^{2}$ = $8^{2}$ + $15^{2}$ - 2(15*8) Cos (180 - 20)

= 64 + 225 - 240 Cos 160

= 289 - 240 * -0.5

$x^{2}$ = 289 + 120

= 409

x = $\sqrt{409}$

= 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0

2 years ago

Which number is Composite (hope i spelled it right) 15 17 19 23

quester [9]

Answer:

15.

Step-by-step explanation:

15 is composite because 3 * 5 = 15.

The others are prime.

8 0

3 years ago

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports a

harina [27]

Answer:

$80 billion

Step-by-step explanation:

From the graph, we have the following:

$United\ States = -110$

$Denmark = -30$

$China = 120$

$Germany = 40$

$Spain = 30$

Required

Determine the difference in US and Denmark exports

The difference is calculated as thus:

$Difference = Denmark - United\ States$

This gives:

$Difference = -30 - (-110)$

$Difference = -30 +110$

$Difference = 80$

Hence, the difference is $80 billion

8 0

3 years ago

Jim decides to start a small nonprofit business of renting out motor scooters to help out his area residents. He puts in his own

Otrada [13]

First, find the expected number of scooters rented per month:

As the data is symmetrical, E(X) (the expected value) is the middle value. So, on average, 2.5 scooters should be taken per month.

His total costs were 5 * 3000 = $15,000

So, to break even, he needs to make $15,000.

He will be selling for 5 years, or 60 months.

As a result, he needs to make 15000/60 = $250/month

As he is selling 2.5 scooters on average, he needs to rent each for:

$250/2.5 = $100/month

8 0

3 years ago

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