Jimmy thought he had purchased 7 folders but he only purchased 6. What was his percent error?

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

3 years ago

Which triangle is it ?

coldgirl [10]

The answer is: The first triangle. The reasons are shown below:

1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:

Tan(α)^-1= opposite leg/adjacent leg

Opposite leg=5
Adjacent leg=5√3

Tan(α)^-1= 5/5√3
Tan(α)^-1=30°

2. Let's calculate the other angle:

Tan(α)^-1= opposite leg/adjacent leg

Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:

Tan(α)^-1= 5√3/5
Tan(α)^-1=60°

As you can see, the angles of first triangle are: 30°,60° and 90°.

5 0

3 years ago

Molly charges an hourly fee to watch a pet plus an initial fee

Luden [163]

Answer:

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140

Step-by-step explanation:

6 0

3 years ago

Keith has $500 in his savings account at the beginning of the summer. He

bixtya [17]

Answer:

12

weeks

Explanation:

If Keith starts with

$

500

and wants to end with (at least)

$

200

he can withdraw up to

$

500

−

$

200

=

$

300

If he withdraws

$

25

week

the

$

300

will last

XXX

$

300

$

25

week

=

12

weeks

Step-by-step explanation:

I apologize if this isn't correct, I tried

7 0

3 years ago

Read 2 more answers

Explain how to estimate the lateral area of a right cone with radius 5 cm and slant height 6 cm. Is your estimate an underestima

Iteru [2.4K]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=5\ cm$

$l=6\ cm$

assume $\pi =3.14$

substitute the values

$LA=(3.14)(5)(6)=94.2\ cm^{2}$

This value is an underestimate, because the assumed pi value is less than the real value

assumed value $\pi =3.14$

real value $\pi =3.1415926536...$

8 0

3 years ago