All categories

3 years ago

What is the length of XZ

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

Answer:

$XZ=13\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure XYZ

Applying the Pythagorean Theorem

$XZ^2=XY^2+YZ^2$

substitute the given values

$XZ^2=12^2+5^2$

$XZ^2=144+25$

$XZ^2=169$

square root both sides

$XZ=13\ units$

You might be interested in

PLEASE HELP NOW!!!

Luden [163]

9514 1404 393

Answer:

sometimes

Step-by-step explanation:

4 + 7 = 11 . . . not a multiple of 7

28 + 7 = 35 . . . a multiple of 7

If you add a multiple of 4 and a multiple of 7, the sum is sometimes a multiple of 7.

It will be a multiple of 7 when the multiple of 4 used is a multiple of 7, such as 4×7 or 4×14 or 4×21, for example.

5 0

2 years ago

What is the equation of a line with a slope of 3 and contains point (4.1)

cricket20 [7]

Answer:

y = 3x - 11

Step-by-step explanation:

y=mx+b

1=3(4)+b

1=12+b

b=-11

5 0

3 years ago

Read 2 more answers

PLEASE HELP!! SMART PEOPLE IM BEGGING! hi can you please help me, I will mark u brainliest:)

Dimas [21]

Please mark Brainliest

The answer is 17. 72

Step by step

0.02x^2 = 6.28

x^2 = 6.28 / 0.02

x^2 = 314

x= square root of 314

x = 17. 72

5 0

2 years ago

Read 2 more answers

Molly wrote messages to her friends on the sidewalk. She used 1/4 of a piece of chalk that was 2 3/5 inches long. How many inche

IRINA_888 [86]

Answer:3/5 inches!!!!!!!!

5 0

2 years ago

Read 2 more answers

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]

Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

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