Change the improper fraction to a mixed number 62/13 will get 27points

An airplane flies from City A in a straight line to City B, which is 120 kilometers north and 180 kilometers west of City A. How

Lubov Fominskaja [6]

Answer: 216 kilometers

Step-by-step explanation:

You need the hypotenuse, this is the formula: h = √(a^2 + b^2)

so...

√(120^2 + 180^2)

√(14400 + 32400)

√46800

216.33

5 0

3 years ago

A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete ha

vfiekz [6]

Answer: The tailor made 8 complete hats

Step-by-step explanation:

Amount of fabrics available to make hat = 6 2/3 yards

1 hat requires = 5/6 yards

Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat

=(6 2/3) / (5/6)

(20/3) / (5/6)

20/3 x 6/5 = cancelling out, we are left with

4x2= 8 hats

or

(20/3) / (5/6)

6.6666 /0.83333

= 8.00002= 8 hats

6 0

2 years ago

Use the description and table to graph the function, and determine the domain and range of f(x). Represent the domain and range

zmey [24]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

The table represents a logarithmic function.

The domain represents the set of x values.

From the table, we can see that all the x values are positive values i.e. x > 0

Hence, the domain of the function is x > 0

<h3>How to determine the range?</h3>

From the table, the table outputs all zero, positive and negative numbers

This means that the range is the set of all real numbers.

Hence, the range of the function is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

#SPJ1

7 0

2 years ago

The graph of the piecewise function f(x) is shown what is the domain of f(x)

Rom4ik [11]

The domain of a function is where we have a value for x.

Since that's the case the domain of f(x) = {x e R / 1 ≤ x < 5}

We see that we have a value for x = 1 cuz we have a filled circle, but we don't have a value for x = 5, look at the unfilled circle

So, our x can vary between 1 and 5, but can't be 5.

8 0

3 years ago

HELP DUE IN 10 MINS!

Scilla [17]

Answer:

$\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi$

Step-by-step explanation:

Area of a circle with radius $r$ : $r^2\pi$

Circumference of a sector with radius $r$ : $2r\pi$

Area of sector with angle $\theta$ : $r^2\pi\cdot \frac{\theta}{360}$ .

Arc length of sector with angle $\theta$ : $2r\pi\cdot \frac{\theta}{360}$

Using these equations, we get the following information:

Area of circle: $27^2\pi=729\pi$

Circumference of a circle: $2\cdot 27\cdot \pi=54\pi$

Area of sector: $27^2\pi\cdot \frac{80}{360}=162\pi$

Arc length of sector: $2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi$

3 0

3 years ago