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2 years ago

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To make an international telephone call, you need the code for the country you are calling. The code for country A, country B, a

nd C are three consecutive integers whose sum is 108. Find the code for each country.

1 answer:

Nady [450]2 years ago

4 0

The solution is in the attachment

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In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

4 0

3 years ago

Simplify the expression (7a5b6)4 . Please help

8_murik_8 [283]

Answer:

28a 20b 24

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find a linear equation whose graph is the straight line with the given property.

jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4 + 9/8 / - 0.5 = -2.25

therefore c = -2.25

y = -6x - 2.25

y = -6x - 9/4 and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1) (0.5 , -0.75)

C2) ( 1. -3.75)

y = mx + c

-3.75 - - 0.75 / 1 - 0.5 = -3.75 + 0.75 / 0.5

= -3 / 0.5 = m

m = -6

y = -6x + c

then this works given just one coordinate to solve for 1 or 2 sets given points

y - y1 = mx+c

y - - 0.75 = 0.75 (x - x1)

y + 0.75 = 0.75 (x - 0.5)

y + 0.75 = 0.75x - 0.375

y = 0.75 - 0.75 = 0.75x( - 0.375 - 0.75)

y = 0.75x -1.125

y = 3/4x - 9/8 as common denominators of 1125/1000 is 9/8 as we divide by 125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

5 0

2 years ago

Which expression equals 6x − 5y + 2 − 8x + 3( y + 5)? A) 3x − 2y + 17 B) −3x + 2y + 17 C) −2x − 2y + 17 D) −2x − 2y − 17

inysia [295]

Answer:

<u>C) −2x − 2y + 17</u>

Step-by-step explanation (PEMDAS):

First, we do <u>3 (y + 5)</u> because of the parenthesis:

6x − 5y + 2 − 8x + 3y + 15

Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we <u>combine like terms</u>. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right

6x − 5y + 2 − 8x + 3y + 15

<u>−2x</u> − 5y + 2 + 3y + 15

−2x <u>− 2y</u> + 2 + 15

<em>−2x − 2y</em><em> </em><em>+ </em><em><u>17</u></em><em>.</em>

8 0

3 years ago

A new Firestone tire is guaranteed to last for 40,000 miles. The actual mean life of the tires is 47,000 miles with a standard d

Rus_ich [418]

Answer:

a) 95.99%

b) 4.01%

c) 00.62%

Step-by-step explanation:

Explanation is given in the attachments.

3 0

2 years ago