5. A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in
such a way that the differences of its distances from two diametrically opposite fixed gates A
and B on the boundary is 7m. Is it possible to do so? If yes, at what distances from the two gates
should the pole be erected?

Answer:

f^(-1)(x) = (x-b)/m  or  x/m - b/m

Step-by-step explanation:

f(x) = y = mx + b

To find the inverse function, interchange x and y and solve for y, i.e.

x = my + b

my = x-b

y = (x-b)/m = x/m - b/m

Answer:

Step-by-step explanation:

True

Option B is correct that is false.

We have been given a figure we need to tell that the two lines are perpendicular

Lines are perpendicular if they meet at the right angle.

Line CD is perpendicular AB to vice-versa is not true.

Hence, Option B is correct

Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle. The symbol is used to denote two perpendicular lines: ⊥ ⊥ .

The perpendicular symbol is ⊥. It is used between the two lines to show that they are perpendicular to each other. Perpendicular lines intersect at right angles (90°) while parallel lines are parallel to each other and never intersect.

Learn more about perpendicular here:https://brainly.com/question/1202004

#SPJ2

Answer:

481

Step-by-step explanation:

Lets say width = x

Length = x+24

Perimeter is 100 so

100=x+24+x+24+x+x

100=4x+48

100-48=4x

52=4x

x=13

So width = 13

Length = 37

37x13=481

Answer:

[tex]\text{D. 36.64}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] and works for any triangle.

Therefore, we have the proportion:

[tex]\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}[/tex]

Answer:

q^12

Step-by-step explanation:

q^6^2

We know that a^b^c = a^(b*c)

q^6^2 = q^(6*2) = q^12

Answer:

A 5040

B 35

Step-by-step explanation:

A  There are 7 ways to put the first picture.  There are 6 pictures left and 6 ways to put the 2nd picture.  There are now 5 pictures left and 5 ways to put the 3rd picture.  And so on

7 * 6*5*4*3*2*1

5040

B  If we can only have 3 pictures and order does not matter

7 choices for the first * 6 *5

But

We have to take into account order

The first picture can go into 3 slots, the second into 2 and the third 1 so divide by 6

(7*6*5)/ (3*2*1)

35

Answer:

I believe this is the answer

Step-by-step explanation:

Answer:

12 pet

Step-by-step explanation:

6 of Daniel pets are birds, that is chicken and Parrot.

But, Daniel has 2 parrots, therefore the number of chickens = 6 - 2 = 4. He has 4 chickens.

The number of chicken = number of goldfish - 1; number of goldfish = number of chicken + 1, hence number of goldfish = 4 + 1 = 5

Number of goldfish = number of turtles + 4; number of turtles = number of goldfish - 4 = 5 - 4 = 1.

Therefore total number of pets = Parrot + chicken + goldfish + turtles = 2 + 4 + 5 + 1 = 12

Daniel has 12 pets

Answer:

there are going to be 3 solutions

9514 1404 393

Answer:

  A-  Triangle 2: {8, 15, 17}

Step-by-step explanation:

You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.

Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".

The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

Answer:

1- c=(-2,1) , R =9

2-c=(2,-1) , R=3

3-c=(-2,-1) , R=4

4-c=(2,1) , R=16

5-c=(0,0) , R=2

Answer:

180-132 = 48

C. 48 degrees

Answer:

The answer is 57

Step-by-step explanation:

25 X 3 = 75

75 - 18 = 57

Good luck :)

Answer:

First multiply 25 by 3 which gives you 75.

You then take 75 minus the amount of pink lemonade she has already sold, which is 18.

Your answer should be 57.

So Sofie has 57 cups of pink lemonade left for sale.

Answer: Seating area

Step-by-step explanation: On the Graph there is the distance you just align 2 and 8 on the graph and it will point exactly on the seating area.

Answer:

k=1.1

Step-by-step explanation:

-1.1k=-1.21

divide by -1.1 on both sides to cancel out the -1.1 in front of k so you just have k

Answer:

k = 1.1

Step-by-step explanation:

-1.1k= -1.21

Divide each side by -1.1

-1.1k/-1.1 = -1.21/-1.1

k = 1.1

Answer:

the answer is :C midsegment

Step-by-step explanation:

because the LINE SEGMENT is in the MIDDLE of the triangle

Answer:

45.82 square inches

Step-by-step explanation:

Use the formula for the surface area of a sphere, A = 4[tex]\pi[/tex]r²

If the diameter is 3.82 inches, the radius is 1.91 inches.

Plug in 3.14 as [tex]\pi[/tex] and 1.91 as r, and solve:

A = 4[tex]\pi[/tex]r²

A = 4(3.14)(1.91²)

A = 45.82

So, approximately 45.82 square inches of material are needed.

Answer:

a)    x = 2

b)    x = 4

Step-by-step explanation:

a = (b₁ + b₂)/2 * h

----------------------------

a)

48 = (10 + x)/2 * 8

Divide both sides by 8

6 = (10 + x)/2

multiply both sides by 2

12 = 10 + x

Subtract 10 from both sides

2 = x

x = 2

---------------------------------

b)

18 = (7 + 2)/2 * x

18 = 4.5 * x

divide both sides by 4.5

4 = x

x = 4

Answer:

Step-by-step explanation:

the answer would be 50

Answer:

its -4, guy above me is right!

Step-by-step explanation:

Answer:

4 yards

Step-by-step explanation:

Given data

Area of square =16 square yards

We know that area of square is

Area =l²

16=l²

l= √16

l=4 yards

Hence the dimension of the sides is 4 yards each

Answer:

Obtuse

I believe it will be obtuse because the side lengths would take up the shape of something like this, depending on how you put it:

Answer: 25

Step-by-step explanation: