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vladimir1956 [14]
3 years ago
10

I’m not really sure how to work this out can someone plssss help me

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

Perimeter of the rectangle=Perimeter of the trapezium

2{(3x+4)+(4x)}=2(5x)+(x-3)+(7x-3)

→2(7x+4)=10x+x-3+7x-3

→14x+8=18x-6

→4x=14

→x=7/2

<u>→</u><u>x=3.5</u>

The value of x is <u>3.5 cm</u>

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alexandr402 [8]

Answer:

c

Step-by-step explanation:

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a recipe calls for three cups of cheese to make nachos for six people .how much cheese is needed to make nachos for two dozen pe
zubka84 [21]
First, let's figure out how many cups of cheese we need for one dozen people. 
There are 12 people in one dozen. 

<u>3 cups of cheese </u> = <u>x cups of cheese</u>
    6 people                     12 people
<u>
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that means we will need 6 cups of cheese for 12 people, or one dozen. 

However, we want to make nachos for two dozen people. 

6 cups of cheese for one dozen x 2 dozen = 12 cups of cheese

<em>You need 12 cups of cheese to make nachos for two dozen people. </em>
3 0
4 years ago
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A guitar string vibrates back and forth 88 times in 1 minute. what is its period in seconds?
Alchen [17]

Answer:

1.5 times per second

(1 time per second if rounded to a whole number)

Step-by-step explanation:

1 minuet is equal to 60 seconds

Because you are given 88 vibrations in one minute, you will divide 88 by 60 seconds. You want your answer in seconds.

88/60 gives us 1.466666667 on a calculator

So the guitar gives a vibration of 1.466666667 per second

If we round this, we get 1.5 vibrations per second

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4 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
garri49 [273]
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3 years ago
Find the circumferences of the two circles circle a has a radius of 21 meters and circle b has a radius of 28 meters Is the rela
Feliz [49]

Answer:

The circumference for <em>circle a</em> is \\ C = 131.9430m.

The circumference for <em>circle b</em> is \\ C = 175.9240m.

The relationship between the radius of a circle and the circumference (the distance around the circle) is constant and is the same for all circles and can be written as \\ \frac{C}{r} = 2\pi or, in a less familiar form, \\ \frac{r}{C} = \frac{1}{2\pi}. The number \\ \pi is constant for all circles and has infinite digits, \\ \pi = 3.14159265358979.....

Step-by-step explanation:

The <em>circumference</em> of a circle is given by:

\\ C = 2*\pi*r [1]

Where

\\ C is the circle's circumference.

\\ r is the radius of the circle.

And

\\ \pi = 3.141592.... is a constant value (explained below)

We can say that <em>the distance around the circle</em> is the circle's <em>circumference</em>.

The circumferences of the two circles given are:

Circle a, with radius equals to 21 meters (\\ r = 21m).

Using [1], using four decimals for \\ \pi, we have:

\\ C = 2*\pi*r

\\ C = 2*3.1415*21m

\\ C = 131.9430m

Then, the circumference for <em>circle a</em> is \\ C = 131.9430m.

Circle b, with radius equals to 28 meters (\\ r = 28m).

\\ C = 2*3.1415*28m

\\ C = 175.9240m

And, the circumference for <em>circle b</em> is \\ C = 175.9240m.

We know that

\\ 2r = D

That is, the diameter of the circle is twice its radius.

Then, if we take the distance around the circle and we divided it by \\ 2r

\\ \frac{C}{2r} = \frac{C}{D} = \pi

This ratio, that is, the relationship between the distance around the circle (circumference) and <em>the diameter</em> of a circle is \\ \pi and is constant for all circles. This result is called the \\ \pi number, which is, approximately, \\ \pi = 3.141592653589793238.... (it has infinite number of digits).

We can observe that the relationship between the radius of a circle and the circumference is also constant:

\\ \frac{C}{2r} = \frac{C}{D} = \pi

\\ \frac{C}{2r} = \pi

\\ \frac{C}{r} = 2\pi

However, this relationship is \\ 2\pi.

We can rewrite it as  

\\ \frac{r}{C} = \frac{1}{2\pi}

And it is also constant.

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3 years ago
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