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Alika [10]
3 years ago
6

If RT = 6 and RS = 9, then RX = A - sqrt(54) B - 13.5 C - 7.2 D - 4

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

Option D RX=4 units

Step-by-step explanation:

we know that

<em>In the right triangle RTS</em>

The cosine of angle TRS is equal to

cos(TRS)=RT/RS

substitute

cos(TRS)=6/9 -----> equation A

<em>In the right triangle RTX</em>

The cosine of angle TRX is equal to

cos(TRX)=RX/RT

substitute

cos(TRX)=RX/6 -----> equation B

∠TRS=∠TRX -----> is the same angle

Match equation A and equation B

6/9=RX/6

RX=6*6/9=4 units

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3 years ago
What is the complement and supplement of 71°?
goldenfox [79]
Answer: the compliment is 19° (90-71=19). the supplement is 109° (180-71=109)
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3 years ago
World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha
dezoksy [38]

Answer:

A) P(t)=77.2\cdot e^{0.016t}

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form y=a\cdot e^{kx}, where,

a = Initial value,

k = Growth rate in decimal form.

1.6\%=\frac{1.6}{100}=0.016

Upon substituting our given values, we will get:

P(t)=77.2\cdot e^{0.016t}

Therefore, our required function would be P(t)=77.2\cdot e^{0.016t}, where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute t=2013-2004=9 in above formula as:

P(9)=77.2\cdot e^{0.016(9)}

P(9)=77.2\cdot e^{0.144}

P(9)=77.2\cdot 1.1548841085249135

P(9)=89.1570531781\approx 89.157

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

95=77.2\cdot e^{0.016t}

Divide both sides by 77.2:

1.2305699481865285=e^{0.016t}

Take natural log of both sides:

\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})

\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)

0.20747743456981035=0.016t*1

Divide both sides by 0.016:

t=12.9673396606

t\approx 13

Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.

4 0
3 years ago
Which of the equation of the line with slope 3 that contains point (-1,5)
SpyIntel [72]

The point-slope form:

y-y_1=m(x-x_1)

We have the slope m = 3 and the point (-1, 5). Substitute:

y-5=3(x-(-1))

\boxed{y-5=3(x+1)}      <em>use distributive property</em>

y-5=3x+3           <em>add 5 to both sides</em>

\boxed{y=3x+8} - slope-intercept form

3 0
3 years ago
Does anyone know the answer ?
Ipatiy [6.2K]
Y = 3x - 8
Because y = mx + b, where m is the slope and b is the y-intercept, just substitute the two numbers.
6 0
3 years ago
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