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2 years ago

Use the roster method to list the elements in the set

Mathematics

1 answer:

Maru [420]2 years ago

7 0

Answer:

{1, 2, 3, 4}

Step-by-step explanation:

The above list is the positive integers less than 5. (Some authors include 0 as a natural number.)

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Please please help me

Gekata [30.6K]

Answer:

$\large\boxed{\dfrac{\boxed{8}}{81}}$

Step-by-step explanation:

$\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}$

$\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}$

8 0

2 years ago

Find the surface area of the triangular prism.

sattari [20]

You have to work out the area of each side. The two identical triangles are 6x4=24 because 8/2 is 4. The base is 8x5=40. The back is 6x5=30 and the top is 10x5=50. You then add them all together to get 144 ft squared.

3 0

3 years ago

Read 2 more answers

X/2.5=20 what does x equal?

sesenic [268]

This is a one-step equation. All you need to do is multiply the 2.5 over to the 20 to get x by itself. x=50 Hope this helps!

5 0

3 years ago

Read 2 more answers

Rectangle ABCD is similar to rectangle EFGH. Side CD is proportional to side ___.

Musya8 [376]

If the rectangle ABCD is similar to rectangle EFGH, side CD is proportional to the side

C. GH

The order of the letters in naming the rectangle gives us which sides are adjacent in rectangle and which sides correspond to the other rectangle.

3 0

2 years ago

Read 2 more answers

Answer this and get 50 points.

stealth61 [152]

Answer:

I drew more points as uploaded picture.

We have, arc BD + 210 + 90 = 360 deg

(sum of all arcs on circle)

=> arc BD = 360 - 210 - 90 = 60 deg

Here we have angle CBD = (1/2) x arc CD = (1/2) x 90 = 45 deg

(property of angle on circle)

=> angle ABD = angle ABC - angle CBD = 180 - CBD = 180 - 45 = 135 deg

( A, B, C lie on same line => ABC = 180 deg)

Otherwise, we have:

angle BDA = (1/2) x arc BD = (1/2) x 60 = 30 deg

We have: x + angle BDA + angle ABD = 180 deg

(sum of all angles in a triangle)

=> x = 180 - angle BDA - angle ABD

=> x = 180 -135 - 30

=> x = 15 deg

Hope this helps!

7 0

2 years ago

Read 2 more answers