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3 years ago

Find the length of side x in simplest radical form with a rational denominator.

Mathematics

1 answer:

devlian [24]3 years ago

5 0

Answer:

x = 2√2

Step-by-step explanation:

This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.

In the case, the hypotenuse is already 4. So we have the equation:

x√2 = 4

Multiply both sides by √2

2x = 4√2

Divide both sides by 2

x = 2√2

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Help please!!

bazaltina [42]

Answer: Part A = (100% - 80%)P = 35, Part B = 140

Step-by-step explanation:

Percentage: Like + Don't like = 100%

80% + Don't like = 100%

-80% -80%

Don't like = 20%

People: 20% of Patrons = Don't Like

0.20 x Patrons = 35

÷ 0.20 ÷ 0.20

Patrons = 175

Now, let's write the equation we used to get that answer:

Let P represent the total number of patrons, then the equation is:

(100% - 80%)P = 35

= (1.00 - 0.80)P = 35

= 0.20P = 35

= P = 175

Part B:

80% of Patrons = Like

0.80 x 175 = Like

140 = Like

6 0

3 years ago

A lab technician cuts a 15 in piece of glass tubing into two pieces. One piece is 7 in longer than the other. How long are the

zysi [14]

Answer:

2.1 in

Step-by-step explanation:

I only wrote the expression 7n = 15. Then figured it out from there. I ended up with n = 2.1

I'm sorry if this doesn't help. I tried my best to solve it. Hope this leads you to the right answer ^^

8 0

2 years ago

Brad buys a jacket that is on sale for 30% off the original price. The expression p - 0.3p can be used to find the sale price of

trapecia [35]

The sale price is $56.

p=80
80-0.3(80)=
80-24=

56

7 0

3 years ago

Read 2 more answers

How do you find derivative of a function with two variables.

Leno4ka [110]

A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.

8 0

2 years ago

Put the equation in standard form. y - 1 = -1/3 (x - 6)

Drupady [299]

Answer:

x + 3y = 9

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 1 = - $\frac{1}{3}$ (x - 6)

Multiply through by 3 to clear the fraction

3y - 3 = - (x - 6) ← distribute parenthesis by - 1

3y - 3 = - x + 6 ( add x to both sides )

x + 3y - 3 = 6 ( add 3 to both sides )

x + 3y = 9 ← in standard form

3 0

3 years ago