What do the horizontal lines in an elevation-versus-time graph mean?

Use the Pythagorean Theorem to find which one of the

marissa [1.9K]

<h3>Hello There!!</h3>

<h3><u>Given</u>:-</h3>

Altitude (AB) = 9cm

Base (BC) = 12cm

Hypotenuse (AC) = ?

$\fbox \text{According To Pythagoras Theorem = }$

$\text{(Hypotenuse)² = (Altitude)² + (Base)²}$

Inserting The Values

$\text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15$

$\therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}$

Option B= <em>15cm</em> is the <u>correct answer</u>

<h3>Hope This Helps</h3>

8 0

3 years ago

Who knows how to do this I TRULY NEED HELP

Pavlova-9 [17]

Answer: The answer is #3

Step-by-step explanation:

3 0

3 years ago

The regular price of a bag is $41.45. During the sale, the bag was marked 20% off. What was the price of the bag during the sale

trasher [3.6K]

33.16, it is 8.29$ off!

5 0

3 years ago

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At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the qua

Nady [450]

Answer:

1) The demand equation is $x=-0.25p+300$

2) The price when no consumers willing to buy this commodity is $1200.

3) The quantity of the commodity would consumers take if it was free is 300 pounds.

Step-by-step explanation:

Given : At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the quantity demanded decreases by 14 pounds.

To find :

1) The demand equation ?

2) At what price are no consumers willing to buy this commodity?

3) According to the above model, how many pounds of this commodity would consumers take if it was free?

Solution :

1) According to question,

p is the unit price and x is the quantity demanded for this commodity in pounds.

Let, $p_1=\$900$ and $x_1=75\text{ pounds}$

and $p_2=\$956$ and $x_2=75-14=61\text{ pounds}$

To find the demand equation we apply two point slope form,

$(x - x_1)=\frac{(x_2-x_1)}{(p_2-p_1)}\times(p-p_1)$

Substitute the values,

$(x - 75)=\frac{61-75}{956-900}\times(p-900)$

$(x - 75)=\frac{-14}{56}\times(p-900)$

$(x - 75)=\frac{-1}{4}\times(p-900)$

$x-75=-\frac{1}{4}p+225$

$x=-\frac{1}{4}p+300$

$x=-0.25p+300$

The demand equation is $x=-0.25p+300$

2) For no consumers,

Substitute x=0 in demand equation,

$0=-0.25p+300$

$0.25p=300$

$p=\frac{300}{0.25}$

$p=1200$

The price when no consumers willing to buy this commodity is $1200.

3) For free,

Substitute p=0 in demand equation,

$x=-0.25(0)+300$

$x=300$

The quantity of the commodity would consumers take if it was free is 300 pounds.

3 0

3 years ago

What is cos 30?<br>this is geometry

nirvana33 [79]

So the definition of the cosine of an angle of a right triangle is $\frac{adjacent}{hypotenuse}$ . You may remember this by SohCahToa (sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, tangent is opposite over adjacent).

Remember, adjacent refers to the side next to the angle in question, and the side can't also be the hypotenuse. The hypotenuse is that longest side and is opposite the right angle.

We have the cosine of 30°. We write

$\cos(30)= \frac{adj}{hyp} = \frac{ \sqrt{3}}{2}$

8 0

3 years ago

Read 2 more answers