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2 years ago

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Mathematics

1 answer:

tamaranim1 [39]2 years ago

4 0

Step-by-step explanation:

A.root 9. root 8

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A ship is sailing due north. At a certain point the bearing of a lighthouse is N 42.8∘E and the distance is 10.5. After a while,

bija089 [108]

Answer:

How far did the ship travel between the two observations of the lighthouse = 9.29

Step-by-step explanation:

the first step to answer this question is drawing the illustration as the attachment.

P is the ship, R is the light house and Q is the bearing.

PR is the distance between the ship and the light house, PR = 10.5

∠P = 42.8°, ∠Q = 59.7°

Thus, ∠R = 180° - ∠P - ∠Q

= 180° - 42.8°- 59.7°

= 77.5°

PQ is the the distance of the ship moving. We can use the sinus equation

$\frac{PR}{sin R}$ = $\frac{PQ}{sin Q}$

$\frac{10.5}{sin 77.5°}$ = $\frac{PQ}{sin 59.7°}$

PQ = ( $\frac{10.5}{Sin 77.5°}$ )(sin 59.7°)

= 9.29

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3 years ago

What is the length of the hypotenuse in a right triangle?

Whitepunk [10]

Answer:

the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

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2 years ago

What are the zeros of the function f(x) = x^4 - x² - 2?

vaieri [72.5K]

Answer:

$x= i\\\\ x = -i \\\\x=\sqrt 2\\\\x = -\sqrt 2$

Step-by-step explanation:

$~~~~~~x^4 -x^2 -2=0\\\\\implies x^2 \cdot x^2-2x^2 +x^2 -2 = 0\\\\\implies x^2(x^2 -2) +(x^2 -2) =0\\\\\implies (x^2 +1)(x^2 -2) = 0\\\\ \implies x^2 +1=0~~~~~~~~\text{or}~~~~~~~~~x^2 -2 = 0\\\\ \implies x = \pm\sqrt{-1}~~~~~~~\text{or}~~~~~~~~~~ x = \pm\sqrt 2\\\\\implies x= \pm i~~~~~~~~~~~~~\text{or}~~~~~~~~~ x= \pm\sqrt 2$

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2 years ago

Solve the following problems.<br> Find x, y

natta225 [31]

Step-by-step explanation:

by using similarity and enlargement

10/8 = 7+y/7

70=56+8y

8y=14

y= 7/4

10/8 = 5+x/5

50=40+8x

x = 8/10 = 4/5

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3 years ago

Read 2 more answers

The graph of f(x) is obtained by reflecting the graph of g(x)=3|x| over the x-axis.

Alinara [238K]

Answer:

Choice B), $f(x) = -3|x|$ .

Step-by-step explanation:

Each point on the graph of $g(x)$ can be represented as $(x, g(x))$ .

When the graph of $g(x)$ is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, $1$ (same as $+1$ ) will become $-1$ , and vice versa. In general, $(x, g(x))$ will become $(x, -g(x))$ .

On the other hand, points on the graph of $f(x)$ can be represented as $(x, f(x))$ . $f(x)$ is the reflection of $g(x)$ , so $(x, -g(x))$ and $(x, f(x))$ shall be equivalent. In other words,

$f(x) = -g(x) = - 3|x|$ .

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3 years ago