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3 years ago

Find the surface area of the pyramid.

Mathematics

2 answers:

tankabanditka [31]3 years ago

8 0

Answer: 56.5

Step-by-step explanation: hope this helps you!!

Butoxors [25]3 years ago

8 0

The surface area of the pyramid would be 56.5

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Find the coordinates of point B that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment i

olga2289 [7]

Answer:

B ( 5 , 3/4 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

A ( -5 , 2 ) C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

d = OC - OA

d = < 11, 0 > - < -5,2 >

d = < 16 , -2 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

< x , y > = OA + t*d

< x , y > = < -5, 2 > + t* < 16 , - 2 >

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is 5/8 th the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

< x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

< x , y > = < -5 , 2 > + < 10 , -5/4 >

< x , y > = < 5 , 3/4 > ... Answer

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3 years ago

Bob can cut through a log in two minutes. How long will it take Bob to cut a 24-foot log into 4-foot sections?

ExtremeBDS [4]

Answer:

It will take 6 minutes for Bob to cut 24-foot log into 4-foot sections

Step-by-step explanation:

First: Find out how many sections he has to make

Second: How long does it take to cut 1 section

Third: Multiply Sections x Time taken

Fourth: Answer finished

4 0

2 years ago

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A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20%

Shkiper50 [21]

Answer: 95 feet

Step-by-step explanation:

Let the length of the horizontal run be represented by x.

Slope Grade = (Rise/Run) × 100

20 = (19/x) × 100

20 = 1900/x

20x = 1900

x = 1900/20

x = 95

Therefore, the length of the horizontal run must be 95 feet

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3 years ago

What do you do when ur bathtub wont work

lubasha [3.4K]

Answer:

Sometimes I l i c k myself like a cat but other times I'll just get orange juice and pour it on myself. Either way works great!

Step-by-step explanation:

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3 years ago

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