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2 years ago

4/5 + 1/3 simplified

Mathematics

1 answer:

kakasveta [241]2 years ago

6 0

Answer:

17/15

Step-by-step explanation:

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Find the missing side of triangle

Maksim231197 [3]

Final Answer:

x = 20

Step-by-step explanation:

we'll be using the pythagorean theorem method, in this triangle the missing letter is a.

formula: $a=\sqrt{c^2-b^2}$

a = x

b = 21

c = 29

a = $\sqrt{29^2-21^2}$

a = $\sqrt{841-441}$ (note: 29² = 29 × 29 = 841 and 21² = 21 × 21 = 441)

a = $\sqrt{400}$

a = 20

x = 20

7 0

2 years ago

Where are the black dots located at ?!!

butalik [34]

Answer:

(1,-2) and (6, 3)

Step-by-step explanation:

Hope this helps ^-^

4 0

2 years ago

Read 2 more answers

5x6-1+3=28 brackets or braces should be added

Artyom0805 [142]

5 · (6 - 1) + 3
= 5·5 + 3
= 25 + 3
= 28

7 0

2 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]

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

Pls help i need help :D

docker41 [41]

Answer:

$\frac{2808}{3125}$

Step-by-step explanation:

8 0

2 years ago