8<br> Given the summation E (3 + 2n),<br> n=1<br> a. Write the first four terms of the sequence.

Find the simplest form of each of the factions 3/12 8/10 and 3/8

asambeis [7]

1/4 , 4/5 and 3/8 can't be reduced :)

7 0

4 years ago

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If ghj=lmk with a scale factore of 5:6 find perimeter of ghj

jeyben [28]

Perimeter of the triangle GHJ is 35cm.

<h3>What is perimeter?</h3>

A perimeter is a closed path that includes, encircles, or delineates a one-dimensional length or a shape with two dimensions.

The perimeter's units are equal to the sides of a polygon's length.

Given Data

The perimeter of a triangle is, by definition, the total length of its sides.

Next, the triangle LMK's perimeter is:

ΔLMK = 14+ 11 + 17

ΔLMK = 42

The perimeter of the triangle LMK must be multiplied by the scale factor if both triangles are congruent and the scale factor is 5:6 (which can be written as a fraction: $\frac{5}{6}$ ).

Next, you have that the triangle GHJ perimeter is:

ΔGHJ = 4( $\frac{5}{6}$ )

ΔGHJ = 35

Perimeter of the triangle GHJ is 35cm.

To learn more about perimeter, visit:

brainly.com/question/12010651

#SPJ1

5 0

2 years ago

A 10 meter piece of wire is cut in to two pieces. One piece is 2 meters longer than the other. How long are the pieces?

Vilka [71]

Answer:

Step-by-step explanation:

total metre = 10m

If one piece is 4m then 2m more then that = 4 + 2 = 6m

So total = 4 + 6 = 10m

7 0

3 years ago

7. Simplify the following as much as possible.<br> Simplify x/3 +x/4

Alla [95]

Answer:

$\frac{7x}{12}$

Step-by-step explanation:

Before adding the fractions we require them to have a common denominator.

Multiply the numerator/ denominator of the first fraction by 4

Multiply the numerator/ denominator of the second fraction by 3

$\frac{4x}{12}$ + $\frac{3x}{12}$

Now add the numerators leaving the denominator

= $\frac{4x+3x}{12}$

= $\frac{7x}{12}$

7 0

3 years ago

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A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago

8 Given the summation E (3 + 2n), n=1 a. Write the first four terms of the sequence.