MATHEMATICS HIGH SCHOOL

A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.How much fencing will he need? Round to the nearest foot.

Answers

Answer 1

Answer:

Answer:

96 feet

Step-by-step explanation:

Given : A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

To Find: How much fencing will he need? Round to the nearest foot.

Solution:

Formula of diagonal of square = $√(2)a$

Where a is the side of the square.

Since we are given the diagonal length of square garden = 34 ft.

So, $34=√(2)a$

$(34)/(√(2))=a$

$24.04=a$

Thus the side of the square garden is 24.04 ft.

Now we are supposed to find how much fencing is required

So, we are supposed to find the perimeter of square.

Perimeter of square = $4 * side$

= $4 * 24.04$

= $96.16$

Thus he need 96.16 ≈ 96 feet fencing .

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Find the non-extraneous solutions of the square root of the quantity x plus 9 minus 5 equals quantity x plus 4.

Answers

( x+9) - 5= ( x+4 ) Try this it should help you ^^

Anybody can help on anyone of these please quick !!!

Answers

19) B
20) D
21) A
22) B
23) C
24) C

The surface area of a cube is 96 square feet. Find the volume of the cube.

Answers

cube has six identical walls

96ft² : 6 = 6 ft² - one wall surface

pattern on the surface of the cube
A = a²
a - the edge of the cube

A = a² ⇔ a=√A
a = √(16ft)² = 4ft
V = volume
V = a³
V = (4ft)³ = 64 ft³

Assuming that there are 10 digits used as telephone number and the area code is a fixed 3 digit number. How many different telephone numbers could be created?

Answers

9,999,999,999,987 Of course, if 'numbers' with leading digits e.g. 0 000 087 654 321, and all zeros, are not counted as valid 'numbers' then there are 13 less possibilities. i.e. There are only 9,999,999,999,987 possibilities.

Practice simplifying rational expressions with negative exponents.