MATHEMATICS HIGH SCHOOL

A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as shown. The radius of the disc is 35 millimeters. Find the area of the pendant. Use 3.14 for π and round to the nearest tenth

Answers

Answer 1
Answer:

Answer:

2884.8 millimeters squared

Step-by-step explanation:

Given:

The radius of the disc is 35 millimeters, so the area of it is:

πr^(2) = 3.14*35^(2) = 3846.5

Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5

πr^(2) = 3.14*17.5^(2) =961.6

=>  the area of the pendant = 3846.5  - 961.6  =2884.8 millimeters squared

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When factored completely, the expression p^4-81 is equivalent to what?

Answers

differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)
Hello,

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[(maybe (p-3)(p+3)(p-3i)(p+3i) in C]

Which expression represents 100 divided by an unknown number?A.
100 • p

B.
100 ÷ p

C.
100 – p

D.
100 + p

Answers

The expression that represents that 100 is divided by an unknown number is letter B. Being, 100 ÷ p. The letter p is being represented by the unknown number. Sometimes, the unknown number could use different variables, such as x,y, z and etc.

Answer:

it is b

Step-by-step explanation:

Whats 1/5 divided by 5

Answers

1/5 ÷ 5 
when a fraction is being divided by a number you multiply the first number by the reciprocal of the second number. A reciprocal is basically a number that can be multiplied by the first number to make 1
So in this case the reciprocal of 5 is 1/5
now just multiply and get 1/25
So the answer is 1/25
First, we have to make sure both numbers are fractions.
The first number is already a fraction; make the second whole number into a fraction.

5 as a fraction is (5)/(1).

Now follow these steps:
Rewrite equation.
Switch division sign to multiplication.
Find reciprocal of the second fraction, which means to flip the fraction around.
Cross multiply.
Simplify if needed.

Now let's put that into this equation.

(1)/(5)/ (5)/(1)\n \n(1)/(5) * (5)/(1) \n \n (1)/(5) * \frac {1}{5} \n \n 1*1=1\n4*5=25 \n \n (1)/(25) 

Calculate the cost of gasoline for a 420 mile trip if your car averages 20 miles/gallon of gas and the gas costs $3.55 per gallon

Answers

Answer:

$74.55

Step-by-step explanation:

420 divided by 20 =21

21 times 3.55= 74.55

Hope this helps!

What type of line would you mark the center of a two-way road

Answers

There are 2 types of line that you can mark the center of a two-way road.

1) passing permitted - it is a broken line marking found in the center of the two-way road. It means that passing other cars is permitted.

2) no passing zones and edge line - it is composed of a combination of solid yellow line, single broken-yellow line, double solid yellow line. It means overtaking or passing is never permitted.

Find the slope in the photo below:

Answers

Answer:

60/1

Step-by-stepexplanation:

120/2 = 60
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