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2 years ago

13

David's net worth is $45,765.78 and his assets have a value of $62,784.14. If his assets increase by $2,784.89 and his liabiliti

es decrease by $3,742.36, what is his net worth?

1 answer:

egoroff_w [7]2 years ago

3 0

Answer:

so 4,854.47

Step-by-step explanation:

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Which of these best describes d, the diameter of a circle?

oee [108]

Answer:

B).

Step-by-step explanation:

Answer explantion

A) the ratio of the circumference of the circle to Pi: false

B) exactly 3.14 :true

C) the ratio of the diameter of a circle to Pi:false

D) the square of the circumference of a circle:false

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3 years ago

Find the length of side x in simplest radical form with a rational denominator.

Leto [7]

<h3>Answer: $2\sqrt{5}$ </h3>

======================================================

Explanation:

Both legs are the same length, as indicated by the tickmark.

a = $\sqrt{10}$
b = $\sqrt{10}$
c = x

Use the pythagorean theorem to solve for x

$a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\$

7 0

2 years ago

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle

dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

$Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0$

Similarly, In Triangle BOL

$Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0$

Equating the Value of h

$xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft$

Since we have found the value of x, we can now determine the height, h of the tree.

$h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet$

The height of the tree is 229.23 feet.

5 0

3 years ago

What is the distance between points (4,2) (6,-5)

egoroff_w [7]

Answer:

Exact form:

$\sqrt{53}$

Decimal Form:

7.280109889280518

Step-by-step explanation:

Use the distance formula to determine the distance between 2 points.

Distance = $\sqrt{(x_{2} -x_{1}) ^2+(y_{2} -y_{1}) ^2$

$\sqrt{6-4^2+(-5-2)^2$

$\sqrt{(2)^2+(-7)^2}$

$\sqrt{4+49}$

$\sqrt{53}$ ≈ 7.280109889280518

5 0

3 years ago

To the nearest tenth, what is the area of a circle whose diameter is 4.4 feet?

Vaselesa [24]

Answer:

15.21= 15.2 when rounded

Step-by-step explanation:

the formula for finding the area of a circle with the diameter is
A= 1/4 × π ×d^2

6 0

2 years ago

Read 2 more answers