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3 years ago

1) Find the missing side. Give your answer in simplest radical form.

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = 8

Leg b = 4

Hypotenuse c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
Evaluate exponents: 64 + 16 = x²
Add: 80 = x²
[Equality Property] Square root both sides: √80 = x
Rewrite: x = √80
Simplify: x = 4√5

You might be interested in

Solve the given system by the substitution method. 3x + y = 14 7x - 4y = 20

Eva8 [605]

Answer:

(4, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 14 → (1)

7x - 4y = 20 → (2)

Rearrange (1) making y the subject by subtracting 3x from both sides

y = 14 - 3x → (3)

Substitute y = 14 - 3x into (2)

7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side

7x - 56 + 12x = 20

19x - 56 = 20 ( add 56 to both sides )

19x = 76 ( divide both sides by 19 )

x = 4

Substitute x = 4 into (3) for corresponding value of y

y = 14 - 3(4) = 14 - 12 = 2

solution is (4, 2 )

8 0

3 years ago

Read 2 more answers

Can someone help me with number 3, please

oksian1 [2.3K]

Answer:

Step-by-step explanation:

We can see that section E of the graph increases, but unlike section B it is much longer and, therefore, increases more slowly.

Hope this helps friend.

4 0

2 years ago

Read 2 more answers

How do I graph the parabola?

scoundrel [369]

First of all, find a program or a calculator that will give you the answer. Then you'll know how to make your table. I recommend Desmos. I have inserted the final graph for you.

Make up a table for this graph. Put the lowest point as the central entry in your graph.

x y
-4
-3
-2
-1
0
Now fill in the y values.

x y
-4 1
-3 -3.5
-2 -5
-1 -3.5
0 1

You can use the outline of the parabola and then mark the outline with the points in the table.

8 0

3 years ago

A carpenter used 9 1/2 ft of cedar for every 7 2/3 ft of redwood for a construction project. If the carpenter uses 4 3/4 ft of c

german

We can make a proportion to represent the woods used. On the top is cedar, and on the bottom is the redwood. On the left is what was used the first time, on the right is the current problem.

Before making the proportion, let's do a preliminary step and write all the fractions as improper fractions. We do this because we can't directly multiply or divide mixed numbers, but we can with fractions.

$9\frac{1}{2} = \frac{2 * 9 + 1}{2} =\frac{19}{2}$ <-- Multiply denominator times whole number and add the leftover fraction.

$7\frac{2}{3} = \frac{3 * 7 + 2}{3} =\frac{23}{3}$

$4\frac{3}{4} = \frac{4 * 4 + 3}{4} =\frac{19}{4}$

Now we set up the proportion. We solve it by cross multiplying.

$\frac{Cedar}{Redwood} =\frac{Cedar}{Redwood}$

$\frac{19/2}{23/3} =\frac{19/4}{R}$

$\frac{19}{2} R = \frac{23}{3} *\frac{19}{4}$

It may seem right to simplify the right side, but let's leave it alone. We divide both sides by 19/2.

$R = (\frac{23}{3} *\frac{19}{4} ) / \frac{19}{2}$

Dividing by a fraction means multiplying by its reciprocal. Thus,

$R = \frac{23}{3} *\frac{19}{4} * \frac{2}{19}$

Here's where not simplifying really pays off. We can simplify NOW and the terms go away more easily. The 19s go away and simplify to 1, and the 2 and 4 simplify to 1 and 2. All this happens by dividing out common numbers.

$R = \frac{23}{3} *\frac{1}{2} * \frac{1}{1}$