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3 years ago

How do I find the variable x?

Mathematics

1 answer:

OleMash [197]3 years ago

4 0

find the ratio of the smaller triangle from the larger one

6 meters is half of 12 meters

10 meters is half of 20 meters

so x would be half of 16 meters

16/2 = 8

x=8 meters

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Mr. Charles cut fresh roses from his garden and gave 10 roses to his neighborhood. then gave half of what was left to his niece.

Vlad [161]

14+14=28
28+10=38 roses

8 0

4 years ago

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I need help with this please!!

topjm [15]

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

3 0

3 years ago

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Write each of the following as a function of theta. 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

3 years ago

The side length of the cube is 5 cm. Find the volume of the cube.

lidiya [134]

Answer:

125 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cube Formula: V = a³

a is a side length

Step-by-step explanation:

Step 1: Define

Identify variables

a = 5 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³
Evaluate exponents: V = 125 cm³

5 0

3 years ago

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Mark's soup recipe makes 6 servings and uses 4 carrots and 2 potaoes. How many potaoes and carrots does mark need for 15 serving

lys-0071 [83]

He would need 10 carrots and 5 potatoes for 15 servings.

Hope this helps.

7 0

4 years ago

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