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4 years ago

13

The expression | 20-31 | gives us the distance between the numbers 20-31. Write a similar equation for the distance between -5 a

nd -15 and simplify it

1 answer:

Sophie [7]4 years ago

8 0

Answer:

10

Step-by-step explanation:

Either | -5 - (-15) | or | -15 - (-5) |. The end result is 10.

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an ice cream cone has a height of 16 cm and a diameter of 4 centimeters what is the volume of ice cream that can be contained wi

Iteru [2.4K]

Answer:

67.014

Step-by-step explanation:

V = π r^2 (h/3)

(Volume equals pi r squared, h over 3)

Diameter is 4, so the radius is half of that = 2

Plug in the numbers

V = π (2^2) (16/3)

V = π (4) (5.333)

V = 3.14 x 4 = 12.566

V = 12.566 x 5.333

V = 67.014

8 0

3 years ago

In any triangle the angles add up to 180. i triangle abc angle a is twice as large as angle b is 4 degrees larger than angle

Varvara68 [4.7K]

A + b + c = 180

a = 2b

b = c + 4

Substitute the b equation into the a equation

a = 2(c + 4)

a = 2c + 8

Substitute equations a and b into the first equation

2c + 8 + c + 4 + c = 180

4c = 168

c = 42

Find the other angles using c

b = 42 + 4

b = 46

a = 2(42) + 8

a = 92

Therefore angle a is 92 degrees, angle b is 46 degrees, and angle c is 42 degrees.

3 0

4 years ago

Find all zeros of f(x)=x^4-3x^3+6x^2+2x-60 given that 1+3i is a zero of f(x)

Triss [41]

Answer:

The roots of f(x) are: -2, 3, (1+3i) and (1-3i)

Step-by-step explanation:

We are given an expression:

$f(x)=x^4-3x^3+6x^2+2x-60$

(1+3i) is a root of f(x)

We have to find the remaining roots of f(x).

Since, (1+3i) is a root of f(x),

$x-(1+3i)$

is a factor of given expression.

Now, we check if (1 - 3i) is a root of given function.

$f(x)=x^4-3x^3+6x^2+2x-60\\f(1-3i)=(1-3i)^4-3(1-3i)^3+6(1-3i)^2+2(1-3i)-60\\= (28+96i)-3(-26+18i)+6(-8-6i)+2(1-3i)-60 = 0$

Thus, (1-3i) is also a root of given function.

Since, (1-3i) is a root of f(x),

$x-(1-3i)$

is a factor of given expression.

Thus, we can write:

$(x-(1+3i))(x-(1-3i))\text{ is a factor of f(x)}\\x^2-x(1-3i)+x(1+3i)+(1-3i)(1+3i)\text{ is a factor of f(x)}\\x^2-2x+10\text{ is a factor of f(x)}$

Dividing f(x) by above expression:

$\displaystyle\frac{x^4-3x^3+6x^2+2x-60}{x^2-2x+10} = x^2-x-6$

To find the root, we equate it to zero:

$x^2-x-6 = 0\\x^2 - 3x+2x-6=0\\x(x-3)+2(x-3)=0\\(x+2)(x-3) = 0\\x = -2, x = 3$

Thus, the roots of f(x) are: -2, 3, (1+3i) and (1-3i)

4 0

4 years ago

A warehouse has shelves that can hold 8, 12 or 16 each shelf has section holding the same number of skateboards. What is the gre

Inessa [10]

Answer:

4 skate boards

Step-by-step explanation:

We solve this question using Greatest Common Factor method

We find the factors of 8, 12 and 16

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

Then the greatest common factor is 4.

Thereeft, ,the greatest number of skate boards that can be put in a section is 4 skate boards

7 0

3 years ago

What is the value of x?<br><br> Enter your answer in the box.

Lady_Fox [76]

Since they're linear pairs, it would be x+134=180. so x = 46 degrees.

4 0

4 years ago

Read 2 more answers