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3 years ago

Express the quantity "1/3 revolutions per minute" in radians per second. Write your

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

6 0

Answer:

$\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}$

C. n/90 rad/sec.

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In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a

Ratling [72]

Answer:

299.64 ft

Step-by-step explanation:

The diagrammatic representation of the problem has been attached below :

Applying trigonometry :

We use the relation :

Tanθ = opposite / Adjacent

Tan 30 = 173 / d

0.5773502 = 173 / d

0.5773502d = 173

d = 173 / 0.5773502

d = 299.64 ft

3 0

3 years ago

What is the area of trapezoid ABCD?

Pani-rosa [81]

Determine the measure of bases a and b and height h of the given trapezoid. Given the coordinates of the points, the distance is calculated through the equation,

d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Base 1: (-2,2) and (1,-2):
d= sqrt ((-2 - 1)² + (2 - -2)²) = 5

Base 2: (2,5) and (11, -7)
d = sqrt ((2 - 11)² + (5 - -7)²) = 15

Height: (-2,2) and (2, 5)
h = sqrt ((-2 -2)² + (2 - 5)²) = 5

The equation for the area of the trapezoid is,
A = (1/2)(base1 + base2)h

Substituting the known values,
A = (1/2)(5 + 15)(5) = 50

ANSWER: 50 square units

7 0

3 years ago

Birds burgers barn sold 485 hamburgers today. The number sold with cheese wise half the number sold without cheese. How many of

frez [133]

Answer:

The number of hamburgers sold with cheese was 165 and the number of hamburgers sold without cheese was 330

Step-by-step explanation:

The correct question is

Birds burgers barn sold 495 hamburgers today. The number sold with cheese wise half the number sold without cheese. How many of each kind were sold?

Let

x -----> the number of hamburgers sold with cheese

y -----> the number of hamburgers sold without cheese

we know that

$x+y=495$ -----> equation A

$x=\frac{1}{2}y$ ----> equation B

substitute the equation B in equation A and solve for y

$y+\frac{1}{2}y=495$

$\frac{3}{2}y=495$

$y=495(2)/3$

$y=330$

Find the value of x

$x=\frac{1}{2}330=165$

therefore

The number of hamburgers sold with cheese was 165 and the number of hamburgers sold without cheese was 330

4 0

3 years ago

A data set has a mean of 112 and a standard deviation of 2.5.

Ahat [919]

Answer with explanation:

Mean of the data set $\mu$ = 112

Standard Deviation of the data set $\sigma$ =2.5

Since , 50% of data lies on both side of the mean.

Z at 50% = 0.1915

Margin of error for this data set

$=Z_{50 \text{percent}}\times\frac{\sigma}{\sqrt{\mu}}\\\\=0.1915 \times \frac{2.5}{\sqrt{112}}\\\\=0.1915 \times \frac{2.5}{10.58}\\\\=0.1915 \times 0.2362\\\\=0.0452$

Margin of error=0.045(approx)

4 0

4 years ago

Read 2 more answers

What is the answer help me

Pie

For the total cost to be equal, the volleyball team must buy 10 T-shirts from each company at $105.

7 0

4 years ago