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blsea [12.9K]
2 years ago
14

R(-9, 4) and S(2,-1); Find T.

Mathematics
1 answer:
madreJ [45]2 years ago
3 0

Answer:

12.083 units

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where

(x_1,y_1) = (-9,4)

(x_2,y_2) = (2,-1)

Replacing these values in the distance formula

D =\sqrt{(-9-2))^2+(4-(-1))^2}

D =\sqrt{(-11)^2+(5)^2}

D =\sqrt{121+25}

D =\sqrt{146}

D= 12.083

Hence the distance is 12.083 units

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A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the
Nonamiya [84]

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}

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7 0
2 years ago
Evaluate sin(Arcos(-9/√145)).
tino4ka555 [31]

Use the fact that \sin x = \sqrt{1-\cos^2 x} to solve it.

\sin(\arccos(-\frac{9}{\sqrt{145}}))=\sqrt{1-\cos^2(\arccos(-\frac{9}{\sqrt{145}}))} =\\= \sqrt{1-(-\frac{9}{\sqrt{145}})^2}=\frac{8}{\sqrt{145}}

8 0
2 years ago
Read 2 more answers
Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the
marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

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Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

                                                                       = $ 10.5

Hence proved





5 0
2 years ago
Read 2 more answers
The children from a football club are put into rows in the sports hall. When put into rows of 9 children, there are 2 children l
g100num [7]

We are told that the children from a football club are put into rows in the sports hall. When put into rows of 9 children there are 2 children left over. When put into rows of 12 children there are 2 children left over.

We will find least number of children in football club by finding LCM of 9 and 12.

Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63,...

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,...

We can see that least common multiple of 9 and 12 is 36.

We are told that 2 children left over from putting them into 9 and 12 children per row. To find least number we will add 2 to 36.

9\cdot4+2=36+2=38

12\cdot3+2=36+2=38      

\text{Least number of children in football club}=36+2=38

Therefore, the least number of children in the football club is 38.

5 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Bond [772]

Answer:  (B) 7 left and 8 up

<u>Step-by-step explanation:</u>

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