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3 years ago

Which number is an irrational number

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

3 0

Answer:7 is an irrational number.

Step-by-step explanation: it can be expressed as the quotient of two integers: 7÷ 1.

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The graph shows two lines, A and B.

muminat

Ur 1 solution is where the lines intersect, which is (1,4)

7 0

4 years ago

Read 2 more answers

A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is

MrMuchimi

Answer:

Length of the tunnel is 51.7 meters

Step-by-step explanation:

We are given that,

The surveyor is located 54 meters from one entrance at an angle of 56°.

The surveyor is located 31 meters from one entrance at an angle of 13°.

Let the length of the tunnel = x meters

So, using the law of cosines, we get,

$x^2=54^2+31^2-2\times 54\times 31\times \cos 69$

i.e. $x^2=2916+961-3348\times 0.3584$

i.e. $x^2=3877-1199.9$

i.e. $x^2=2677.1$

i.e. x = 51.7 meters

Hence, the length of the tunnel is 51.7 meters

5 0

3 years ago

What is the answer to this. Correct answer will get brainliest.

kvv77 [185]

The answer should be -116

7 0

3 years ago

An equation of a hyperbola is given.

siniylev [52]

Answer:

The vertices are $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

The foci are $\left(3\sqrt{5},\:0\right),\:\left(-3\sqrt{5},\:0\right)$ .

The asymptotes are $y=2x,\:y=-2x$ .

b) The length of the transverse axis is 6.

c) See below.

Step-by-step explanation:

$\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1$ is the standard equation for a right-left facing hyperbola with center $\left(h,\:k\right)$ .

The vertices $\:\left(h+a,\:k\right),\:\left(h-a,\:k\right)$ are the two bending points of the hyperbola with center $\:\left(h,\:k\right)$ and semi-axis a, b.

Therefore,

$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ and vertices $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

For a right-left facing hyperbola, the Foci (focus points) are defined as $\left(h+c,\:k\right),\:\left(h-c,\:k\right)$ where $c=\sqrt{a^2+b^2}$ is the distance from the center $\left(h,\:k\right)$ to a focus.

Therefore,

$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ $c=\sqrt{3^2+6^2}= 3\sqrt{5}$ and foci $\left(3\sqrt{5},\:0\right),\:\left(-3\sqrt{5},\:0\right)$

The asymptotes are the lines the hyperbola tends to at $\pm \infty$ . For right-left hyperbola the asymptotes are: $y=\pm \frac{b}{a}\left(x-h\right)+k$