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3 years ago

Is this equation an infinite solution, no solution, or one solution?? 7(2+5x) = 3x + 14

Mathematics

1 answer:

shusha [124]3 years ago

7 0

Answer:

One Solution

Step-by-step explanation:

Once you solve the equation, you get 0 which satisfies for X, therefore it has a solution.

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Find tan(450-a), If <img src="https://tex.z-dn.net/?f=%20%5Ctan%28a%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"

Inessa05 [86]

Answer:

$tan(450-a)=5\sqrt{3}-8$

Step-by-step explanation:

We know that:

$tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

$tan(450-a)=\frac{tan(450)-tan(a)}{1+tan(450)tan(a)}$

Remember:

450°=360°+60°

and:

$tan(a)=\frac{1}{2}$

Thus:

$tan(450-a)=\frac{tan(60)-tan(a)}{1+tan(60)tan(a)}\\\\$

Then:

$tan(450-a)=5\sqrt{3}-8$

4 0

2 years ago

Delta Math! Please help.

vodka [1.7K]

Answer:

x = 1.5 $\sqrt{3}$

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{3}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 3 $\sqrt{3}$ ( divide both sides by 2 )

x = 1.5 $\sqrt{3}$

6 0

2 years ago

Read 2 more answers

A boutique marks up a $55 painting 18%. Find the new price.

Ede4ka [16]

Answer:

$9.9

Step-by-step explanation:

3 0

2 years ago

Convert this decimal into its fractional form, simplified completely. 0.650

podryga [215]

Answer:

13/20

Step-by-step explanation:

0.650 /1

0.650 × 100

1 × 100 =

65 /100

65 ÷ 5

100 ÷ 5 =

13 /20

4 0

2 years ago

A population of monkeys' tail lengths is normally distributed with a mean of 25 cm with a standard deviation of 8 cm. I am prepa

Crank

Answer:

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

Step-by-step explanation:

Step(i):-

Given mean of the Population 'μ'= 25c.m

Given standard deviation of the Population 'σ' = 8c.m

Given sample size 'n' = 256

Let X₁ = 24

$Z_{1} = \frac{x_{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{24-25}{\frac{8}{\sqrt{256} } } = -2$

Let X₂ = 25

$Z_{2} = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0$

Step(ii):-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = P(-2≤ Z ≤0)

= P( Z≤0) - P(Z≤-2)

= 0.5 + A(0) - (0.5- A(-2))

= A(0) + A(2) ( ∵A(-2) =A(2)

= 0.000+ 0.4772

= 0.4772

Final answer:-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

4 0

3 years ago