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3 years ago

Find the 20th term of the following sequence.

Mathematics

1 answer:

Arlecino [84]3 years ago

5 0

-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32
Answer: 32

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A bottle of water is 2/3 full. You drink the given portion of

Citrus2011 [14]

Answer:

1/2

Step-by-step explanation:

Step 1: You would multiply 2/3 by 3/4.

(Hint: if it is ____ of ____, you would most likely multiply)

Step 2: 2×3/3×4

Step 3: 2×3=6

Step 4: 3×4=12

Step 5: 6/12

Step 6: Simplify 6/12 = 3/6 = 1/2

Hope this helps :)

3 0

2 years ago

Read 2 more answers

AJ purchased a new TV for $1200. The regular price of the TV was $1500.what percent did AJ save buying it on sale ?

svet-max [94.6K]

A. 20%

Work: 1500 x .20 = 300

1500 - 300 = 1200

Hope this helps!

4 0

3 years ago

How do you do rotation of the origin ?

anzhelika [568]

The rotation rule would be (-y, x)

Write/mark all your coordinates down. Now plot all your prime points and draw a line connecting them.

Hope this helps!~

6 0

4 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

Pls show work?!!!!!!!

Paraphin [41]

Answer: 55.5 (A.)

Step-by-step explanation:

Since angle A = 29 and angle B = 41, angle C must be equal to 110

180 = m<A + m<B + m<C

180 = 29 +41 + m<C

180 = 70 + m<C

110 = m<C

Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.

Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.

Law of Sines: sinA/a = sinB/b = sinC/c

sinA/a = sinB/b

sin29/41 = sin41/b

b(sin29/41) = sin41

b = 41(sin41)/(sin29)

b = 55.48

b = 55.5

7 0

3 years ago