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3 years ago

Show that in a quadrilateral ABCD, AB+BC+CD+DA<2(BD+AC)

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

Step-by-step explanation:

We know that the length of the diagonals will be more than the side.

Lets suppose the quadrilateral is a rectangle, with sides 6 and 4.

The length of a diagonal is:

√(6*6)+(4*4)

√36+16

√52

7.21(rounded off to 3 sig. fig.)

So, 6+4+6+4<2(7.21+7.21)

20< 2*14.42

20<28.84, which is true.

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4) Abe, Barb, Carl, Dee, and Earl all work at Thrifty's. Abe works every day,

Doss [256]

Answer:

Every 60 days.

Step-by-step explanation:

This is very similar to a sequence.

try starting out with:

Abe: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21

Barb: 2, 4, 6, 8, 10

Carl: 3, 6, 9, 12

Dee: 4,8, 12, 16, 20, 24, 28, 32, 36

Earl: 5, 10, ....

so If today they all worked together....

We need a common multiple of 5, 4, 3.... so it is 60

It appears that it will be in 60 days

4 0

3 years ago

Item 3 Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inc

lisov135 [29]

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

3 0

3 years ago

Solve 5x − 2(2x − 1) = 6

asambeis [7]

<h2><u><em>Answer:BRAINLIEST PLS</em></u></h2><h2><u><em>Ok so, the answer is</em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em>Ok so, Let's solve your equation step-by-step.</em></u></h2><h2><u><em>5x−2(2x−1)=6</em></u></h2><h2><u><em>Step 1: Simplify both sides of the equation.</em></u></h2><h2><u><em>5x−2(2x−1)=6</em></u></h2><h2><u><em>5x+(−2)(2x)+(−2)(−1)=6(Distribute)</em></u></h2><h2><u><em>5x+−4x+2=6</em></u></h2><h2><u><em>(5x+−4x)+(2)=6(Combine Like Terms)</em></u></h2><h2><u><em>x+2=6</em></u></h2><h2><u><em>x+2=6</em></u></h2><h2><u><em>Step 2: Subtract 2 from both sides.</em></u></h2><h2><u><em>x+2−2=6−2</em></u></h2><h2><u><em>x=4</em></u></h2><h2><u><em>So, your answer would be:</em></u></h2><h2><u><em>x=4</em></u></h2>

3 0

3 years ago

Read 2 more answers

7<br> Write an equation of a line<br> with slope of 23 and<br> y-intercept -6.

emmainna [20.7K]

Answer:

y = 23x - 6

Step-by-step explanation:

The formula for line is y = mx + b

m is the slope, so plug in 23

b is the y intercept, so plug in -6

So it would be y = 23x + (-6), which simpify into y = 23x - 6

6 0

2 years ago

40 points

siniylev [52]

Answer:

The answer is high inflation

Step-by-step explanation:

7 0

4 years ago