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3 years ago

Solve (x-5)^2- 45 = 0, where x is a real number

Mathematics

1 answer:

sdas [7]3 years ago

5 0

Answer:

Step-by-step explanation: the answer is x= 3 $\sqrt{5}$ +5, -3 $\sqrt{5}$ +5

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If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

4 years ago

Show work please!...

Leni [432]

Answer:what goes around comes around

Step-by-step explanation:

"i need points too thanks"

7 0

3 years ago

Perimeter of a triangle is 32, sides are x+3, 3x-1 and 4x-2

ZanzabumX [31]

X= 4
AB= 7
BC= 11
AC= 14

6 0

3 years ago

Plsss help me pleaseee with right answers xoxo

kondaur [170]

Answer:

Step-by-step explanation:

503km

3hr

503/3

16.67

17 should be your average speed

Once you divide it you have to Round the number it gives you so you get a hole number and since 6 is higher then 5 it rounds to 17

if I'm right can I get brainliest please

5 0

3 years ago

Jones of Boston borrowed $40,000, on a 90-day 10% note. After 60 days, Jones made an initial payment of $6,000. On day 80, Jones

jok3333 [9.3K]

Balance on 60th day PRIOR to payment
=40000(1+10%*(60/360))
=40666.67

Balance after payment of $6000
=40666.67-6000
=$34666.67

6 0

3 years ago