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4 years ago

The answer is 48 can someone explain how?

Mathematics

1 answer:

mestny [16]4 years ago

7 0

Answer:

Step-by-step explanation:

(1)

apple × apple × 2apple = 54

2apple³ = 54 divide both sides by 2

apple³ = 27 → apple = ∛27

apple = 3

(2)

apple + apple × green_apple = 24 substituite apple = 3

3 + 3 × green_apple = 24 subtract 3 from both sides

3 × green_apple = 21 divide both sides by 3

green_apple = 7

(3)

strawberry - bannana - banana = 0 → strawberry = 2banana

(4)

strawberry + banana + cherry = 24 substitute from (3)

2banana + banana + cherry = 24

3banana + cherry = 24

(5)

apple + banana - cherry = -1 substitute apple = 3

3 + banana - cherry = -1 subtr3 from both sides

banana - cherry = -4

Add both sides of (4) and (5)

3banana + cherry = 24

+banana - cherry = -4

4banana = 20 divide both sides by 4

banana = 5

Substitute it to (4):

3(5) + cherry = 24

15 + cherry = 24 subtract 15 from both sides

cherry = 9

Substitute to the last equation:

3 + 5 × 9 = 3 + 45 = 48

/USED PEMDAS/

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Plz help

Mazyrski [523]

Answer:

12.

Step-by-step explanation:

This is how to round 12.36 to the nearest whole number. In other words, this is how to round 12.36 to the nearest integer.

12.36 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 12

Fractional Part: 36

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 12.36 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 12.36 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 12.36 rounded to the nearest whole number as:

5 0

3 years ago

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Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

_______________

$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus

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3 years ago

A store buys stereo from the manufacturer for $443. After applying a markup of 45% to the item, the store then tries to sell it

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Kim borrowed $400 from her parents to purchase a new cell phone. The table represents Kim's repayment schedule. Which inequality

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