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2 years ago

What is the value of x?

Mathematics

1 answer:

katovenus [111]2 years ago

4 0

Answer:

x = 15

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

Thus

x² = 9 × (9 + 16) = 9 × 25 = 225 ( take the square root of both sides )

x = $\sqrt{225}$ = 15

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The new printer at the school is able to print 2,700 pages in 45 minutes. On average, how many pages does it print per minute?

garri49 [273]

Answer:

It can print 60 pages per minute.

Step-by-step explanation:

You would divide 2,700 by 45, to get your answer. 2,700÷45=60. So your answer will be 60 pages per minute.

8 0

3 years ago

Read 2 more answers

A box of chocolates contains milk chocolates and dark chocolates in the ratio 2:3. The box contains 50 chocolates. How many milk

DochEvi [55]

Answer:

The box contains 20 milk chocolates.

Step-by-step explanation:

Given that the chocolate box has milk chocolates and dark chocolates in a ratio of 2 milk chocolates for every 3 dark, and the total number of chocolates in the box is 50 units, to determine how many milk chocolates are in the box. it is necessary to perform the following calculation:

50 / (2 + 3)

50/5

Milk chocolates: 2 x 10 = 20

Dark chocolates: 3 x 10 = 30

Therefore, the box contains 20 milk chocolates.

3 0

2 years ago

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$