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Lapatulllka [165]

4 years ago

9

Mike is riding his bike 8 mi./hr northwest, and Shelly is riding her bike 11 mi./hr southwest. Both are headed for the intersect

ion of the two bike paths. At what rate are the bikes approaching each other when Mike is 0.2 mi. and Shelly is 0.5 mi. from the intersection?

1 answer:

Assoli18 [71]4 years ago

4 0

Answer: GLOBAL WARMING FOESNT EXIST

Step-by-step explanation: STOP RIDING BIKES MORE CARS

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Two trapeziums are similar, thee area of one of the trapezium is 4times that of the other. Determine the ratio of the perimeter

Stolb23 [73]

Answer:

The ratio of the perimeters of the two trapezium is 2

The ratio of the corresponding sides of the two trapezium is 2

Step-by-step explanation:

The given parameters in the question are;

Two trapeziums are similar

The area of one trapezium = 4 × The area of the other trapezium

Let, A₁, and A₂ represent the area of the two trapeziums, we have

A₁ = 4 × A₂

∴ A₁/A₂ = 4

Given that ratio of areas = (Ratio of sides)²

Ratio of sides = Ratio of perimeter

∴ Ratio of areas = (Ratio of perimeter)²

Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;

Ratio of areas = 4 = (Ratio of sides)²

The ratio of the corresponding sides = √4 = 2

The ratio of the corresponding sides = 2

Ratio of areas = 4 = (Ratio of perimeter)²

The ratio of the perimeter = √4 = 2

The ratio of the perimeter = 2

3 0

3 years ago

If the measure of a central angle is 76°, then what is the measure of the arc it creates?

prisoha [69]

Answer:

I believe that the answer is A

Step-by-step explanation:

Sorry if Im wrong but Im pretty sure Im right!

8 0

3 years ago

Macey already saved $25 and then saved an additional $15 each week from her

KATRIN_1 [288]

Answer:

31 weeks or 30 2/3

Step-by-step explanation:

485-25 = 460

460/15 = 30 2/3

8 0

3 years ago

Draw the angle given in degrees on the unit circle where 0 radians corresponds to the positive portion of the horizontal axis: 2

vivado [14]

Ur answer will c as I Claus

4 0

3 years ago

Read 2 more answers

Private nonprofit four-year colleges charge, on average, $27,293 per year in tuition and fees. The standard deviation is $7,235.

Natali5045456 [20]

Answer:

a) $X\sim(27293,(7235)^2)$

b) 0.1567

c) $P_{70}=31084.14$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $27,293 per year

Standard Deviation, σ = $7,235

We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.

a) Distribution of X

Let X be the cost for a randomly selected college. Then,

$X\sim (\mu, \sigma^2)\\X\sim(27293,(7235)^2)$

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

$P( x < 20000) = P( z < \displaystyle\frac{20000 - 27293}{7235}) = P(z < -1.008)$

Calculation the value from standard normal z table, we have,

$P(x < 20000) = 0.1567$

c) 70th percentile for the distribution.

We have to find the value of x such that the probability is 0.7

$P( X < x) = P( z < \displaystyle\frac{x - 27293}{7235})=0.7$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 27293}{7235} = 0.524\\\\x = 31084.14$

The 70th percentile for the distribution of college cost is $31,084.14

4 0

3 years ago