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3 years ago

The solution set in interval notation is ??

Mathematics

1 answer:

alex41 [277]3 years ago

3 0

Answer:

Step-by-step explanation:

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One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

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

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

Step $1$

Find the length sides of the triangle

a) Find the distance AB

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) Find the distance AC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) Find the distance BC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

Find the perimeter of the triangle

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

Find the half of the perimeter

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

Find the area of the triangle

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

the answer is the option

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

There are many numbers that divide 109 with a remainder of 4. List all two-digit numbers that have that property.

Paladinen [302]

Answer:

3 Numbers: 15, 21, 35

Step-by-step explanation:

We want number that divide 109 with a remainder of 4.

Thus, it can divide of 109 - 4 = 105

Factors of 105 = 3, 5, 7

Thus for getting two digit number it must be Multiple of any two factors of 105.

i.e. 15, 21 and 35

Hence there are only 3 numbers that divide 109 with a remainder of 4.

7 0

3 years ago

According to a study, 91% of all adults have a cell phone. An employee of a cell phone company attends a community event and has

umka2103 [35]

Answer:

(0.91)^{20}(0.09)

Step-by-step explanation:

6 0

3 years ago

What is the answer to 1/4 + 8 * 8 + 6 + 8

dsp73

If you turn 1/4 into a decimal, which is 0.25, all you have to do then is 0.25 + 8 x 8 + 6 + 8 = 78.25 Hope this helps!!

8 0

3 years ago

P(B)=1320,P(A∩B)=1325,P(A|B)=?

Dafna1 [17]

Formula for the Conditional Probability is:
P ( A \ B ) = P ( A ∩ B ) / P ( B )
But it is not possible to have the probability greater than 1.
0 ≤ P ( n ) ≤ 1
So let`s assume that: P ( A ∩ B ) = 1320 and P ( B ) = 1325
P ( A \ B ) = 1320 / 1325 = 0.9962

3 0

3 years ago