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3 years ago

Which answer choice represents an equivalent number sentence that uses the commutative property to rewrite " 2 x 8 x 3"?

1 answer:

Ivan3 years ago

8 0

The answer is D because commutative property says that you can switch the places of numbers and still get the same answer.

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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

kevin has $42 and is saving $8 per week. how many weeks must kevin save in order to have 138 altogether

Elden [556K]

Answer:

1 year and 5 months

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?

NemiM [27]

Answer:

72°

Step-by-step explanation:

The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.

Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:

x + x + x + x + x = 360

5x = 360

Dividing through by 5:

5x / 5 = 360 / 5

x = 72°

Each slice has an angle measure of 72°

5 0

3 years ago

IF YOU ANSWER RIGHT ILL GIVE YOU BRAINLTIST

AleksAgata [21]

Answer:

B: 12/25

Step-by-step explanation:

You have the correct answer marked. This is correct because the probability of grabbing a purple marble is 24/50 which if we divide by 2 to simplify is 12/25.

8 0

3 years ago

(I WILL GIVE BRAINLIEST) Which of the following are included in a typical budget? Select all that apply. expenses, actual amount

andrew11 [14]

Answer: Expenses

Step-by-step explanation:

Terms in this set (4)

Estimate Expenses.

Estimate Income.

Determine Savings.

Balance Budget.

4 0

3 years ago

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