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3 years ago

If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm

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mestny [16]

Answer:

-6/5

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3 years ago

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solmaris [256]

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4 years ago

1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,

vampirchik [111]

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points $(x_1,y_1)$ and $(x_2,y_2)$ , their distance is given by:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

In this problem, the formula is used to find the distance covered on each tour, hence:

$d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500$

$d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300$

$d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800$

$d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800$

Then, the total distance is given by the sum of each separate distance, hence:

$d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400$

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at brainly.com/question/25929988

3 0

2 years ago

Hi i have no idea does anyone have an idea ? please

ivann1987 [24]

Answer:

y = 2(x+5)²- 60

Step-by-step explanation:

f(x) = ax² +bx +c, is the standard form

f(x) = a(x - h)² +k , is the vertex form where the (h, k) is the vertex

y = 2x²+20x -10 ,

factor 2 from the two terms

y = 2(x² +10x) -10,

what perfect square has x² +10x? ... x²+10x +25 = (x+5)²

y = 2(x²+10x+25 )- 50 -10,

add 25 in parenthesis to get a perfect square yet subtract 2*25 = 50 so the equation will stay the same

y = 2(x+5)²- 60,

the equation has the vertex at (-5, -60)

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2 years ago

Find the slope of the line that passes through (-37, 47) and (26, 32).

stiks02 [169]

(x1,y1) = (-37,47)
(x2,y2) = (26,32)

Now, m = (47-32) / (26+37)
m = 15 / 63
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So, the slope would be 5/21

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3 years ago