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2 years ago

Which number is rational?

Mathematics

1 answer:

anyanavicka [17]2 years ago

7 0

the second answer chose is the right answer chose

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Please help!! I have tried it on my own and I am stuck

elena55 [62]

Answer:

1. 23.59 feet

2. 32.9°

Step-by-step explanation:

1. See the diagram attached.

The man is 11 feet distance from the bottom of the tree.

And the angle of elevation from the man to the top of the tree is 65°.

Now, we need to approximate the height of the tree,

Using the trigonometry, we can write

$\tan 65^{\circ} = \frac{\textrm {Height of the Tree}}{\textrm {Base Distance}} = \frac{h}{11}$

⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)

2. See the diagram attached.

From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.

And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.

Using trigonometry, we can write

$\cos \theta = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{21}{25}$

⇒ $\theta = \cos^{-1}(\frac{21}{25}) = 32.9^{\circ}$ (Answer)

8 0

2 years ago

Multiply each equation by a constant that would help to eliminate the y terms.

goldenfox [79]

6x-15y=-63
-15x+15y=90

This is because you are multiplying the first equation by a constant of 3 and the second equation by 5 so that you can have -15y and +15y which will cancel each other out.

6 0

2 years ago

Pllllllllllllllllllllleasee one guys i neeed ur help one

Svetllana [295]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

Calculate discriminant :

$\qquad \sf \dashrightarrow \: 3 {x}^{2} + 6x - 1$

a = 3
b = 6
c = 1

$\qquad \sf \dashrightarrow \: discriminant = {b}^{2} - 4ac$

$\qquad \sf \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)$

$\qquad \sf \dashrightarrow \: d = 36 - 12$

$\qquad \sf \dashrightarrow \: d = 24$

$\qquad \sf \dashrightarrow \: \sqrt {d} = 2 \sqrt{6}$

Now, let's calculate it's roots ( x - intercepts )

$\qquad \sf \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a}$

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3}$

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6}$

So, the intercepts are :

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6}$

and

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6}$

5 0

1 year ago

Read 2 more answers

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C. (-4,8). (-5, -6)

konstantin123 [22]

Answer:

y2-y1/x2-x1

Step-by-step explanation:

x1= -4 x2= -5

y1= 8 y2= -6

-6-8/-5+4=14

so M = 14

y-y1=m(x-x1)

y-8=14(x+4)

8y=14x+56

rearrange

-14x+8y=56

but you need it in the form of AX+BX=C (THE X SHOULD BE POSITIVE SO CHNAGE ALL THE SIGNS )

14X-8Y=-56

3 0

3 years ago

4.6.PS-12 Question Help Frank is going to plant n vegetable seeds in one garden and 3n + 2 vegetable seeds in another. How many

miskamm [114]

Answer:

Step-by-step explanation:

4 0

2 years ago