Mathematics, 24.09.2019 02:00, eshaesmot12345

Need with both question. grateful for any .

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18)
It says the scale factor is 1:25000, so for every one part there is actually 25000. So for every centimeter, there is actually 25000 cm. See that we multiplied by 25000.
So for 6.8cm, multiply by 25000 to get 170000cm.
The real distance represented is 170000cm.

19) Just work out one step at a time using order of operations.
Do parentheses first. 7^2 = 49, and 3^3 is 3*3*3 which is 27.
Now you have [8(49 - 27) ]/ sqrt121.

Finish simplifying the parentheses. 49 - 27 is 22.
[8(22)] / sqrt121.

Now multiply 8 times 22, which is 176.
176 / sqrt 121

The square root of 121 is 11.

176/11.
= 16

answered: katiaciceron3912

#18).

-- The map has a scale factor of 1:25,000.

-- Any distance on the paper map represents
25,000 times that distance in the real world.

-- If you measure 6.8 cm on the paper map,
that represents a real distance of (25,000 times 6.8 cm).

#19). Relax, breathe, and take it one step at a time:

=> 7² = 49
=> 3³ = 27
=> (7² - 3³) = (49 - 27) = 22
=> 8 times that is 176 .

√121 = 11 .

Can you handle it from there ?

answered: Guest

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).