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3 years ago

What is the length of DD'?

Mathematics

2 answers:

Blababa [14]3 years ago

8 0

Answer:

The length of DD' is $\sqrt{29}$ or 5.39 units.

Step-by-step explanation:

The distance formula is

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From the given figure it is clear that the coordinates of D are (2,0) and coordinates of D' are (7,2).

Using distance formula we get

$DD'=\sqrt{(7-2)^2+(2-0)^2}$

$DD'=\sqrt{25+4}$

$DD'=\sqrt{29}$

$DD'\approx 5.39$

Therefore the length of DD' is $\sqrt{29}$ or 5.39 units.

zavuch27 [327]3 years ago

6 0

The length of DD' is 5.39 units.

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The discount sales price would be $218

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In a certain state, there are currently 5,902,060 acres of farmland. This area is decreasing at a rate of 4.3% every year. Selec

Luba_88 [7]

Answer:

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Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

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First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

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3 0

3 years ago

Para hacer un polideportivo se ha comprado una parcela triangular cuyos lados miden 300m , 375m y 362m .

NeTakaya

Answer:

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Step-by-step explanation:

We can calculate the area of the triangle knowing its sides by means of Heron's formula:

A = $\sqrt{p(p-a)(p-b)(p-c)}$

Where p is the semi-perimeter is equal to:

$p = \frac{a+b+c}{2}$

now, we replace:

$p = \frac{300+375+362}{2}$

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now, we replace this value and we are left with:

A = $\sqrt{518.5(518.5-300)(518.5-375)(518.5-362)}$

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7 0

3 years ago

Please help thank you.

Cloud [144]

Question 1:
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.

Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.

Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.

Have an awesome day! :)

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