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3 years ago

What is the relation between the trigonometric ratios tan(R) and tan(J)? Please answer ASAP!

Mathematics

1 answer:

Ilya [14]3 years ago

6 0

Step-by-step explanation:

∆PQR similar to ∆ JKL

JK/KL= PQ/QR

6/12=3/QR

QR=3×2= 6

therefore, tan(R) = PQ/QR = 3/6=1/2

and, tan(J) = KL/JK =12/6=2

$\frac{ \tan(R) }{ \tan(J) } = \frac{ \frac{1}{2} }{2}$

$\frac{ \tan(R) }{ \tan(J) } = \frac{1}{4}$

tan(J)=4.tan(R)

option D

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Archy [21]

Answer:

So, the probability is P=0.094.

Step-by-step explanation:

We know that in a recent survey, 73% of the community favored building a police substation in their neighborhood.

We get that p=0.73 and q=1-0.73=0.27.

We calculate the probability that exactly 8 of them favor the building of the police substation, if 14 citizens are chosen.

We get that n=14 and k=8.

We calculate the probability:

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vlada-n [284]

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2 years ago

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3 years ago

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Can someone help me with 23?

maxonik [38]

2.5 pounds of apples * $1.20 = $3

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3 years ago

PLEASE HELP 8th GRADE MATH QUESTION OVER HERE!!!

patriot [66]

The side AB measures option 2. $\sqrt{20}}$ units long.

Step-by-step explanation:

Step 1:

The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).

The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.

To calculate the distance between two points, we use the formula $d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}.$

where ( $x_{1},y_{1}$ ) are the coordinates of the first point and ( $x_{2},y_{2}$ ) are the coordinates of the second point.

Step 2:

For A (4, 5) and B (2, 1), ( $x_{1},y_{1}$ ) = (4, 5) and ( $x_{2},y_{2}$ ) = (2, 1). Substituting these values in the distance formula, we get

$d=\sqrt{\left(2-4\right)^{2}+\left(1-5}\right)^{2}} = \sqrt{\left(2\right)^{2}+\left(4}\right)^{2}}=\sqrt{20}}.$

So the side AB measures $\sqrt{20}}$ units long which is the second option.

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2 years ago