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fomenos
3 years ago
9

First question. The midpoint of SR is...

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

The formula of a midpoint SR:

M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)

We have

S(4, 1) and M(7, -5)

Substitute:

\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11

<h3>Answer: R(10, -11)</h3>
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BRAINLIEST ANSWER TO FIRST ANSWERER!!
Natalija [7]

Answer:

13 cms

Step-by-step explanation:

By Pythagoras:-

x^2 = 12^2 + 5^2

x^2 = 144 + 25

x^2 = 169

x  = √169

= 13

5 0
2 years ago
Which of these is divisible by 3 and 4?
Leokris [45]
One number that is divisible by both 3 and 4 is 12. Any multiple of 12 is also divisible by both 3 and 4, such as 24, 36, 48, etc.
7 0
3 years ago
I need to explain/show work.<br> Help please
Fittoniya [83]

Answer:

adult tickets = 17, children tickets = 9

Step-by-step explanation:

Let x be the number of children and y the number of adults

Then given that 26 tickets are sold, we can write

x + y = 26 → (1)

Given that ticket cost was $194 we can write

5.5x + 8.5y = 194 → (2)

Rearrange (1) expressing y in terms of x by subtracting x from both sides

y = 26 - x → (3)

Substitute y = 26 - x into (2)

5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side

5.5x + 221 - 8.5x = 194

- 3x + 221 = 194 ( subtract 221 from both sides )

- 3x = - 27 ( divide both sides by - 3 )

x = 9

Substitute x = 9 into (3) for corresponding value of y

y = 26 - 9 = 17

Hence number of adult tickets sold = 17

number of children tickets sold = 9

5 0
3 years ago
Here is a tunnel for a toy train.
jonny [76]

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid (A) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)

A = 614.197\pi\,cm^{2}

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0
2 years ago
Giving BRAINLIEST for correct awnser! Factor the expression below.
melomori [17]

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

(x^2 -y^2) = (x-y)(x+y)

(6a - 5b) (6a+5b)

6 0
3 years ago
Read 2 more answers
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