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likoan [24]
3 years ago
14

Compute the distance between (a,b,c) and (-2,5,6).

Mathematics
2 answers:
yan [13]3 years ago
8 0

Answer:

b. sqrt(a+2)^2+(b-5)^2+(c-6)^2

Step-by-step explanation:

Use distance formula

sqrt (a-(-2)^2 + (b-5)^2 + (c-6) ^2

sqrt (a+2)^2 +(b+5)^2 + (c-6)^2

Elza [17]3 years ago
7 0

Answer:

B

Step-by-step explanation:

took it on edge, it's the right answer :)

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One batch of mooncakes contains 1/4 tablespoons of kansui. How many tablespoons of kansui are
Ghella [55]

From the division property, the required kansui is 5/32 tablespoon.

What is division?

One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction round out the list of operations.

Given that a batch of mooncake contains 1/4 tablespoon of kansui.

Given batch of mooncake is 1 3/5 = 8/5

Therefore,

\frac{\frac{1}{4}}{\frac{8}{5}}\\=\frac{1}{4} \times \frac{5}{8}\\=\frac{5}{32}

Hence, the required kansui is 5/32 tablespoon.

To learn more about division from the given link

brainly.com/question/25289437

#SPJ9

3 0
1 year ago
Simply this rational expression.<br> URGENT! PICTURE INCLUDED
cupoosta [38]

Answer:

35n/17r

Step-by-step explanation:

4 0
3 years ago
a rectangular parking lot has an area of 7/10 square kilometer the width is 1/3 kilometer what is the length of the parking lot
Virty [35]

Answer:

2\frac{1}{10} km

Step-by-step explanation:

We are given;

  • The are of a rectangle as 7/10 km²
  • Width of the rectangle is 1/3 km

We are required to find the length of the rectangle;

We need to know how to find the area of a rectangle first;

Area of rectangle = Length × Width

Rearranging the formula;

Length = Area of rectangle ÷ Width

            = 7/10 km² ÷ 1/3 km

   We get;

           =\frac{7}{10} *\frac{3}{1}

           =\frac{21}{10}

           =2\frac{1}{10} km (improper fraction)

Thus, the length of the rectangular park is 2\frac{1}{10} km

5 0
2 years ago
Please help I’ll give brainlyest
GrogVix [38]

Answer:

80m^3

Step-by-step explanation:

Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3

6 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]

<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
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