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Alexus [3.1K]
3 years ago
10

A farmer had 752 sheep and took one shot that got them all how did he do it.

Mathematics
2 answers:
defon3 years ago
6 0
He took it from a panoramic view!
baherus [9]3 years ago
5 0

Answer:

He took a panoramic view!

Step-by-step explanation:

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Q.2
Katen [24]

Answer:

Q2. (16,8)

Q3. k=\frac{2}{3}, ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant  from Q (2,-5) and R (-3, 6), we have

|PQ|=|PR|

This gives us:

\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}

\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2

Expand:

4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36

2a=16

a=8

The coordinates of P are (16,8)

Q.3  The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is x+3y=-13.

The x-coordinate of the point that divides AB in the ratio m:n is

x=\frac{mx_2+nx_1}{m+n}

The y-axis meets this line at (0,-\frac{13}{3})

We substitute x_2=-1,x_1=5,x=0 into this equation and solve for m and n.

0=\frac{-m+5n}{m+n}

m=5n

\frac{m}{n}=\frac{5}{1}

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

the points (-5,-4) and (-2,3) is -7x+3y=23.

The point (-3, k) must satisfy this line because it lies on it.

-7(-3)+3k=23.

\implies k=\frac{2}{3}

We again use the equation x=\frac{mx_2+nx_1}{m+n} to find the given ratio.

Substitute: x_2=-2,x_1=-5

4=\frac{-2m+-5n}{m+n}

\implies m=2n

\frac{m}{n}= \frac{2}{1}

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is 3x+2y=12.

We substitute (4,m) to get:

12+4m=12

4m=0

m=0

It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).

Hence the ratio is 1:1

5 0
3 years ago
Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks
ICE Princess25 [194]

Answer:

The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which vertex will result in the maximum value of the function T = x – 3y?
exis [7]

Answer:

(0,-3) will give the maximum value

Step-by-step explanation:

To know the vertex, we have to substitute the coordinates in the options

we have this as follows

a) (1.5,0)

T = 1.5-3(0) = -1.5

b) (3.5,4)

T = 3.5 - 1)4)

= 3.5 - 4 = -0.5

c) (0,-3)

we have

T = 0-3(-3) = 0 + 9 = 9

d) (0,4)

we have this as:

T = 0 - 3(4) = -12

7 0
3 years ago
A cube has a side length of 8 inches.
Kazeer [188]

The answers are 8^{3} and 8 · 8 · 8

Explanation:

The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= s^{3}. According to this, if the side length is 8 inches the volume can be represented as V = 8^{3} or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct:  8^{3} and 8 · 8 · 8.

4 0
3 years ago
What is the image of the point (-1,-2)after a rotation of 180∘
igor_vitrenko [27]

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

  • If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
  • If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
  • If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

∴ The image of the point is (1, 2)

4 0
3 years ago
Read 2 more answers
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