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3 years ago

Hannah is mixing paints to create a green color. Her mixture for green requires 2 parts blue, 1 part purple, and 4 parts yellow.

Mathematics

1 answer:

alexdok [17]3 years ago

4 0

Answer: A

Step-by-step explanation:

Divide each part in 2.

2/2 parts blue, 1/2 part purple, and 4/2 parts yellow

Which equals l:

1 part blue, 0.5 part purple, and 2 parts yellow

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If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)

krok68 [10]

$Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

Step-by-step explanation:

Here we have , sin ⁡x=7/25( given sin x = 725 which is not possible ) , $0$ . Let's find tan (x - pi/4):

⇒ $Tanx = \frac{sinx}{cosx}$

⇒ $Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}$

⇒ $Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}$

⇒ $Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}$

⇒ $Tanx = {\frac{7}{25}}(\frac{25}{24} )$

⇒ $Tanx = {\frac{7}{24}}$

Now , $Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24} -1}{1+\frac{7}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

7 0

3 years ago

The quadratic equation 2x^2 + bx + 18 = 0 has a double root. Find all possible values of b.

Doss [256]

When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here
a=2,
b=b,
c=18
and
D=b^2-4ac=b^2-4*2*18=0
solve for b
b^2-144=0
=> b= &pm; sqrt(144)= &pm; 12

So in order that the given equation has double roots, the possible values of b are &pm; 12.

4 0

3 years ago

If D is the midpoint of EG, find the length of EG

Brrunno [24]

ED = x - 5 given

DG = 4x - 38 given

ED = DG definition of midpoint

x - 5 = 4x - 38 substitution

-5 = 3x - 38 subtraction property of equality (subtracted x from both sides)

33 = 3x addition property of equality (added 38 to both sides)

11 = x division property of equality (divided 3 from both sides)

ED = x - 5 → ED = 11 - 5 → ED = 6 substitution

since ED = DG, then DG = 6 transitive property

ED + DG = EG segment addition property

6 + 6 = EG substitution

12 = EG simplified like terms

Answer: 12

7 0

3 years ago

HELPP!!! What is the measure of ADC

Gwar [14]

72 degrees

(well it says answers need to be 20 words long.. So I wrote this)

7 0

3 years ago

In the equation 3x+ 2 = 11 which number is the constant?

grigory [225]

Answer:

The constant is 2 and 11

Step-by-step explanation:

A constant is a number that always has the same value. In this equation 2 and 11 are the constants because they stay the same. 3x doesn't stay the same because 3 is multiplying x.

Hope This Helps :)

6 0

3 years ago