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3 years ago

Find the area of a square with a diagonal of 4cm.

1 answer:

3 0

Let the side length be s. Then sqrt(s^2+s^2) is the length of the diagonal.

sqrt(2s^2) = 4 cm, so 2s^2 = 16 cm, and s^2 = 8, so that s = 2sqrt(2).

The area of this square is s^2, which here is 4(2), or 8 square units (answer)

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X(x+3) + 34 = (x +5)(x+2)

My name is Ann [436]

X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
$x^{2} + 3x + 34 = x^{2} + 7x + 10$
Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
$34 = 4x + 10$
Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

Answer: x = 6

4 0

3 years ago

Determine the solution to the system of equations

gizmo_the_mogwai [7]

Answer:

no sé pero no se y no se y más no se

3 0

3 years ago

Which of these random samples represents a representative sample of the number of students in a middle school who walk to school

Westkost [7]

Answer:

Step-by-step explanation:

150 is a good sample of a middle school and students at lunch is random again because most students eat lunch

4 0

3 years ago

Charlie bought 40 oz of flour for his bakery. He used 18.3 oz to make a loaf of bread, and 0.95 oz for each muffin. How many muf

Furkat [3]

Division is one of the four fundamental arithmetic operations. With the leftover flour of 7.45oz, charlie can make approximately 8 muffins.

<h3>What is Division?</h3>

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A.) The total flour Charlie has was 40 oz, out of this he used 18.3 oz of flour. The amount of flour left now would be 21.7 (40-18.3).

Since a single muffin uses 0.95 oz of flour, therefore, the number of muffins Charlie made will be,

Number of muffins = 21.7/0.95 = 22.84 ≈ 23 muffins

B.) When Charlie had 7.45 oz of flour leftover, then the number of muffins would be,

Number of muffins = 7.45/0.95 = 7.84 ≈ 8 muffins

Hence, with the leftover flour of 7.45oz charlie can make approximately 8 muffins.

Learn more about Division:

brainly.com/question/369266

#SPJ1

8 0

2 years ago

1.<br> 15% of what number is 45?

Rom4ik [11]

Answer:

15% of 300 is 45

6 0

3 years ago

Read 2 more answers