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yaroslaw [1]
3 years ago
12

Please help!

Mathematics
2 answers:
solmaris [256]3 years ago
8 0

Answer:

9m

Step-by-step explanation:

If Mrs. G is planning an expansion of her square back yard and side of the original backyard is increased by 5 m, the new total area of the backyard will be 196 m2. The length of each side of the original backyard is 9m.

x = length of original square

x + 5

Formula: A = s²

Therefore, the side length of the original backyard is 9 m.

ahrayia [7]3 years ago
4 0

Answer:

9 m

Step-by-step explanation:

If x is the length of the original square, then x+5 is the length of the new square.

Area of a square is the square of the side length, A = s².  Since the area of the new square is 196 m²:

196 = (x + 5)²

Solving, first take the square root of both sides:

±14 = x + 5

Subtract 5 from both sides:

x = -5 ± 14

x = -19, x = 9

x can't be negative, so x = 9.  The side length of the original backyard is 9 m.

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ABC has been translated 5 units to the right, as shown in the diagram. What is the length of ?
BARSIC [14]

Answer:

(A) 15 centimeters

Step-by-step explanation:

A midsegment of a triangle is always 2 things:

Half the size of the bottom of the triangle (in this case AC)

Parallel to the bottom of the triangle.

Since ABC is an equilateral triangle, we know that EVERY side is 30cm, including AC.

So the midsegment of ABC, LM, must be 15 cm.

Hope this helped!

6 0
3 years ago
Solve using the order of operations: 6.3 7 squared x 3.1
SVETLANKA909090 [29]
6.37² x 3.1

First is Exponents (6.37²):

40.6 x 3.1

Then, Multiplication:

40.6 x 3.1 = 125.9.

To remember the order of operations, the term PEMDAS can be used. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.)
You do the equation in the order of the letters.

Example:

(5-2)5 + 2² / 6 -1 = ?

First, Parentheses:

(3)5 + 2² / 6 - 1

Then, Exponents:

(3)5 + 4 / 6 - 1

Then, Multiplication:

15 + 4 / 6 - 1

Then, Division:

15 + 0.7 - 1

Then, Addition:

15.7 - 1 

Then, Subtraction:

14.7

So that means, (5-2)5 + 2² / 6 -1 = 14.7
6 0
3 years ago
7. Cindy is paid $7.00 an hour for a regular 35-hour week. She receives overtime pay
Sergio [31]

Answer:$1 she’s poor

Step-by-step explanation:

3 0
3 years ago
Nathan plants equal sized squares of sod in his front yard. Each square has an area of 6 square feet.Nathan plants a total of 1,
Neko [114]
I THINK the answer is 6000 square feet because each one is 6 square feet and you have 1000 of them so 6 square feet times 1000 squares is 6000 square feet.
7 0
3 years ago
Please help due any minute
yarga [219]

Answer:

A the system has no solution

Step-by-step explanation:

Simplifying 2x + -5y = -8

Solving 2x + -5y = -8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5y' to each side of the equation. 2x + -5y + 5y = -8 + 5y

Combine like terms: -5y + 5y = 0 2x + 0 = -8 + 5y 2x = -8 + 5y

Divide each side by '2'. x = -4 + 2.5y Simplifying x = -4 + 2.5y

Solution for 2x-5=12 equation:

2x - 5 = 12

2x = 12 + 5

2x = 17 (divide both sides by 2 to get x)

2x/2 = 17/2

x = 8.5

5 0
3 years ago
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