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3 years ago

Jack has a summer job caddying at a golf course. Jack earns $120

Mathematics

1 answer:

Alina [70]3 years ago

5 0

1200 as you would round it down to 100 a week so you would do 100x12

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A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

Please help! (Answer and explanation, NO LINKS!)

blsea [12.9K]

Answer: primeter is 20

Area :

Step-by-step explanation:

Height : 4

Base : 6

Prim - 6+6+4+4=20

Area - 6x4=24

8 0

2 years ago

Please help can complete this analogy

Goshia [24]

Hanukkah, because that is what holiday it is used for. (Though I'm Christian and I don't know what the heck a creche is) but it says Christmas, so yeah. Hanukkah.

8 0

3 years ago

7) Simplify (5^10 x 7^14)^10 A. 5^20 x 7^24 B. 5^100 x 7^24 C. 5^100 x 7^140 D. 5^20 x 7^140

olga2289 [7]

(5^10 * 7^14)^10 =

5^(10 * 10) * 7^(14 * 10) =

5^100 * 7^140....its C....because ur multiplying the exponents

4 0

3 years ago

Read 2 more answers

How many triangles can be constructed with angles measuring 60 degrees , 60 degrees, and 40 degrees?

polet [3.4K]

Answer:

Could be wrong but my answer would be none because the angles in a triangle have to add to 180 degrees

Step-by-step explanation:

8 0

3 years ago