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Makovka662 [10]
3 years ago
8

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

4 0
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
Read 2 more answers
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

5 0
3 years ago
What do you do when ur bathtub wont work
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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:

8 0
3 years ago
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