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2 years ago

Determine the area of the shape below.

Mathematics

1 answer:

brilliants [131]2 years ago

6 0

Answer 230

Step-by-step explanation:

Add the area of the rectangle (160) to the area of the triangles (70 (35 each))

Area of a triangle 1/2bh

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Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

Aleonysh [2.5K]

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

The polar coordinate of any point can be written as:

(r, θ) = (r, θ + 2nπ) --> when positive

(r, θ) = [ - r, θ + (2n + 1)π ] --> when negative

where n is any integer.

The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).

When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)

where n is any integer.

When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.

Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].

7 0

3 years ago

Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent. How many text messag

professor190 [17]

Given that Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent.

Kimora's cell phone bill for one month is $52.

We need to determine the number of text messages Kimora sent for one month.

Also, we need to write and equation and solve it.

The equation:

Let x denote the number of text messages Kimora sent for one month.

Thus, the equation is given by

$35+0.05x=52$

Therefore, the equation for the number of text messages Kimora sent for one month is $35+0.05x=52$

Solving the equation:

We need to solve the equation $35+0.05x=52$

Subtracting both sides of the equation by 35, we get;

$0.05x=17$

Dividing both sides of the equation by 0.05, we get;

$x=340$

Therefore, the number of messages sent is 340.

3 0

3 years ago

The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise mo

nadya68 [22]

Answer: Hello your question some data but i will provide a general solution based on the scope of your question making some suggestions as well

answer : Summation of displacements ( back and forth distance ) / Number of Runners

Step-by-step explanation:

Given that ; the aim of the race is to raise money

The number of miles/ distance covered will determine how much money that would be raised

Formula to resolve the problem = Summation of displacements ( back and forth distance ) / Number of Runners

Lets assume: ( example )

Distance between the Park and the City hall is = 6 miles

Number of runners = 4

Given that the runners Run from the Park to the City hall and then run back

Total miles covered by each runner = ( 6 + 6 )/ 4 = 12/4 = 3 miles

4 0

3 years ago

What is the multiple zero and multiplicity of f(x) = x3 + 10x2 + 25x?

elena-s [515]

Answer:

The multiple zero is $x=-5$ .

The multiplicity is 2

Step-by-step explanation:

The given function is

$f(x)=x^3+10x^2+25x$

To find the zero of this function, we equate it to zero.

$\Rightarrow x^3+10x^2+25x=0$

We factor to obtain;

$x(x^2+10x+25)=0$

Observe that; the expression within the parenthesis is a perfect square.

This implies that;

$x(x+5)^2=0$

This implies that;

Either $x=0$ or $(x+5)^2=0$

$(x+5)^2=0$ has a multiple zero which is

$x=-5$ and its multplicity is 2.

3 0

3 years ago

Step 1: –10 + 8x < 6x – 4

Aleks04 [339]

Answer:

3 > x

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

Step 4: divide each side by by -2, remembering to flip the inequality

-6/-2 > -2/-2

3 > x

6 0

3 years ago

Read 2 more answers