All categories

3 years ago

Please can someone show me how to do this. Thanks

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

x equals 3.00cm

Step-by-step explanation:

Use Pythagoras' Theorem.

a = (14x-45)

b = (16x+27)

c = (25x)

Plug in the variables above into Pythagoras' Theorem that is, a^2+b^2=c^2.

Solve the resulting quadratic equation and reject the negative answer as length is always positive.

You might be interested in

Which of the following is the standard equation of the ellipse with vertices at (1,0) and (27,0) and an eccentricity of 5/13?

Dovator [93]

The equation of the elipse is given by:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

The equation of an elipse of center $(x_0, y_0)$ is given by:

$\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 0$

Values a and b are found according to the <u>vertices and the eccentricity</u>.

It has vertices at (1,0) and (27,0), thus:

$x_0 = \frac{27 + 1}{2} = 14$

$y_0 = \frac{0 + 0}{2} = 0$

$a = \frac{27 - 1}{2} = 13$

$a^2 = 169$

It has eccentricity of $\frac{5}{13}$ , thus:

$\frac{5}{13} = \frac{c}{a}$

$\frac{5}{13} = \frac{c}{13}$

$c = 13$

Thus, b is given according to the following equation:

$c^2 = a^2 - b^2$

$b^2 = a^2 - c^2$

$b^2 = 169 - 25$

$b = \sqrt{144}$

$b = 12$

The equation of the elipse is:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

A similar problem is given at brainly.com/question/21405803

3 0

3 years ago

Which of the following is not necessary to book a flight

KiRa [710]

Answer:

Step-by-step explanation:

drivers license is is not necessary.

3 0

3 years ago

Read 2 more answers

What’s the answer to this?

Rus_ich [418]

Answer:

y = -1/2x + 1

Step-by-step explanation:

Using the slope formula: y = (y2 - y1)/(x2 - x1), we can determine that the slope is -1/2. There is only one answer with the slope of -1/2, but to check that it's right, we can plug in one of the points to see that y = -1/2x + 1 works.

5 0

3 years ago

The sum of a rational number and an irrational number equals:

WINSTONCH [101]

Answer: is an irrational number

Step-by-step explanation:

Like adding three to pi (3.14159265358979323846264....)is still going to be irrational

3 0

3 years ago

Read 2 more answers

3. Marissa collected 8 seashells. Her sister Emily

eimsori [14]

Answer:

Step-by-step explanation:

There are 15 shells all together

there is 5 friends

15 divided by 5 is 3

Therefore the answer is three

8 0

3 years ago

Read 2 more answers