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4 years ago

1. If using ASA to determine if a triangle is unique, you must know:

Mathematics

1 answer:

aleksandrvk [35]4 years ago

8 0

You have to know the measure of two angles and an included side (a side between two angles).

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PlsSSS answer this is due at 11 am today and i dont know

Yuri [45]

Answer:

where is the question???..............

8 0

3 years ago

A 10 foot ladder is leaning against a wall. Call x the distance from the top of the ladder to the ground, and call y the distanc

liq [111]

$-5.3\:\text{ft/s}$

Step-by-step explanation:

We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

$L^2 = 100\:\text{ft}^2 = x^2 + y^2$

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

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

Solving for dx/dt, we get

$\dfrac{dx}{dt} = -\left(\dfrac{y}{x}\right)\dfrac{dy}{dt} = -\left(\dfrac{\sqrt{L^2 - x^2}}{x}\right)\dfrac{dy}{dt}$

We know that

$\dfrac{dy}{dt} = 4\:\text{ft/s}$

when x = 6 ft. So the rate at which the top of the ladder is going down is

$\dfrac{dx}{dt} = -\left(\dfrac{\sqrt{100\:\text{ft}^2 - (6\:\text{ft})^2}}{6\:\text{ft}}\right)(4\:\text{ft/s})$

$\:\:\:\:\:\:\:= -5.3\:\text{ft/s}$

The negative sign means that the distance x is decreasing as y is increasing.

5 0

3 years ago

The volume V of a cone varies jointly as the area of the base B and the height

seraphim [82]

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.

3 0

3 years ago

0.009,0.8,0.05,1.0 in ascending order

Andrew [12]

0.009, 0.05, 0.8, 1.0

7 0

4 years ago

Jordan has $40 to spend at the yard sale. He buys 6 books for $2 each. He would like to spend the rest of his money on model car

Deffense [45]

Answer:

He can buy 4 model cars

Step-by-step explanation:

∵ His total money = the cost of books + the cost of model cars

∵ He buys 6 books and the price of each book is $2

∵ The cost of each model car is $7 , let the number of model cars is c

∵ He has $40

∴ 6 × 2 + 7 × c = 40

∴12 + 7c = 40

∴ 7c = 40 - 12 = 28

∴ c = 28/7 = 4

∴ He can buy 4 model cars

5 0

3 years ago