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3 years ago

How are <4 and <5 related?

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

They are supplementary angles since they lay on a line, which makes them a linear pair, meaning that any linear pair equals 180°
I hope this helps.
YOU'RE WELCOME :D

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Need help with solving quadratics using the quadratic equation!

Charra [1.4K]

You need to solve the following equation:
-0.5x^2 +36x -161 = 451

Set right side to 0
-0.5x^2 +36x -612 = 0

Multiply by -2 to get rid of decimal and leading neg coefficient.
x^2 -72x + 1224 = 0

Use quadratic formula:
a = 1, b = -72, c = 1224

$x = \frac{-(-72) \pm \sqrt{(-72)^2 -4(1)(1224)}}{2(1)} \\ \\ x = \frac{72 \pm \sqrt{288}}{2} \\ \\ x = 27.51, 44.49$

Therefore the min price to have 451 profit is $27.51

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3 years ago

2. A rectangular piece of paper

dexar [7]

Answer:

pineapple

Step-by-step explanation:

They are sweet and juicy big pineapples

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3 years ago

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Need help!!!!!

lesya692 [45]

Answer: center: (2,-3) radius: 6

Step-by-step explanation:

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3 years ago

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Today when Jeremy saw Mr. Winaki, the teacher said, “The amount of money in my wallet is more than $10, but less than $20. How m

OverLord2011 [107]

Answer:

Given that “The amount of money in my wallet is more than $10, but less than $20 " can be written in inequality form as

10 < w < 20 where " w" is the amount in the wallet .

1 ) Puzzle : -

Ryan is eating cookies . His mother ask how many cookies did he have .

He said number of cookies he ate is more than 19 and less than 41 .

We can write it in equality form as 19 < x < 41 where ' x ' is number of cookies Ryan have .

2) Puzzle :-

Number of steps a child take in an hour is more than 19 and less than 41 .

Write the situation in inequality form .

19 < p < 41 where " p " is the number of steps a child take in an hour .

3) Puzzle :-

Mother said to his child : " the number of coins in your piggy bank is more than 19 and less than 41 .

19 < c < 41 where " c " is number of coins in piggy bank .

7 0

4 years ago

A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r

Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,

$\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min} = 14\pi\ rad/min$

Solution:

From the given figure.

$tan\theta=\frac{x}{5}$

Substitute x = 1

$tan\theta=\frac{1}{5}$ -------------------(1)

Now, first we differentiate both side with respect to t.

$\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})$

Using chain rule.

$\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt} = (\frac{1}{5})\frac{dx}{dt}$

$sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $tan\theta=\frac{1}{5}$ from equation 1.

$(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $\frac{d\theta}{dt}=14\pi$

$\frac{10}{9}.14\pi = \frac{1}{5}.\frac{dx}{dt}$

Applying cross multiplication rule.

$\frac{dx}{dt}= \frac{700\pi }{9}$

$\frac{dx}{dt}= 77.78\pi$

Therefore, light is moving along the shore at the speed of 77.78 km/min

6 0

3 years ago