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3 years ago

Which quadrilaterals have diagonals that are perpendicular?

Mathematics

1 answer:

Whitepunk [10]3 years ago

4 0

Hey there!

The answer would be kite, rhombus, and square

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He population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and dea

Wewaii [24]

Answer:

See explaination and attachment

Step-by-step explanation:

Please kindly check attachment for the step by step solution of the given problem.

I have the detailed answer as an attachment.

7 0

3 years ago

El perímetro de un rectángulo es 58 y su base excede en 10 a su ancho, ¿Cuánto mide la base? AYUDAAAA

kobusy [5.1K]

Answer:

The base is 19.5.

Step-by-step explanation:

The given question is, "The perimeter of a rectangle is 58 and its base exceeds its width by 10, how long is the base?"

Perimeter = 58

Base, l = 10+b

The perimeter of a rectangle is :

P = 2(l+b)

58 = 2(10+b+b)

29 = (10+2b)

29-10 = 2b

19 = 2b

b = 9.5

Base, l = 10 + 9.5

= 19.5

Hence, the base is 19.5.

5 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago

Ivy invests $1000 at a simple interest rate of 7%. How much interest will Ivy earn in 3 years * $2100 $70 $210 I don't know

ololo11 [35]

Answer:$210

Step-by-step explanation: 7% of $1000 = $70 x 3yrs =$210

6 0

3 years ago

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Write an equation for the following situation:

IRISSAK [1]

Y * x = $300 hope it helps

3 0

3 years ago

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