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3 years ago

Change 3240 degrees/second to radians/second

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Using the formula 1° × π/180 = 0.01745rad,

3240 degrees/second = 56.54867 radians/seconds

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There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the ma

klio [65]

5:8 Hope this helps!!

3 0

2 years ago

Kelly purchased 5 containers of ice cream for a party. Each container holds 8 cups of ice cream. Before the party, her brother a

victus00 [196]

Given:

Kelly purchased 5 containers of ice cream for a party.

Each container holds 8 cups of ice cream.

Her brother ate 2 cups of ice cream.

One serving of ice cream = 2/3 of a cup.

To find:

Number of servings of ice cream will be left for the party?

Solution:

We have,

1 container = 8 cups of ice cream

5 containers = 5×8 = 40 cups of ice cream

Her brother ate 2 cups of ice cream. So, remaining cups of ice cream is

$40-2=38$ cups

Now,

$\dfrac{2}{3}$ of a cup = 1 serving

1 cup = $\dfrac{3}{2}$ serving

38 cup = $38\times \dfrac{3}{2}$ serving

= $19\times 3$ serving

= 57 serving

Therefore, 57 servings of ice cream will be left for the party.

4 0

2 years ago

What is the range of y=sec^-1(x)?

Bingel [31]

Assuming that the x is not part of the ^-1 the range would be

[0,π/2) U (π/2,π]

3 0

2 years ago

Read 2 more answers

xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc

leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ 28.6 km

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ 34.8 km

4 0

3 years ago

Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

OlgaM077 [116]

Answer:

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Step-by-step explanation:

Mai biked 5 1/4 miles today

So he biked, in miles:

$5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}$

Noah biked 2 1/2 miles.

So, in miles, he biked:

$2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}$

How many times the length of Noah’s bike ride was Mai’s bike ride?

We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So

$\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1$

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

5 0

2 years ago