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Yuliya22 [10]
3 years ago
14

Two points a and b are on opposite sides of a building. a surveyor selects a third point c to place transit. point c is 62 feet

from a and 88 feet from
b. the angle acb is 61o. how far apart are points a and
b.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0
Okay, so basically you are going to use the Pythagorean Theorem which states: If a right triangle has sides a and b and hypotenuse c then a2+b2=c2.
You already have the distance between AC and BC so you want to figure out the distance between AB. All you have to do is plug in the information. If you draw out a picture, it will help you to visualize it. 
I believe the answer is 26...
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What is the volume of a hemisphere with a radius of 9.8 in, rounded to the nearest tenth of a cubic inch?​
pogonyaev

Answer:

the volume of the hemisphere is 1970.2 cubic inches.

Step-by-step explanation:

The given is,

                  Radius of hemisphere is 9.8 inches.

Step:1

                 Formula of volume of hemisphere is,

                             ..................(1)

                 Where,

                           r - Radius of hemisphere

Step:2

                 From the given,

                          r = 9.8 inches

                 Equation (1) becomes,

                             

                                                 =  

                                                 =                    

                                                 = (0.66666666)(3.1415)(942.192)  

                                                 = 1971.23

          Volume of hemisphere = 1971.23 cubic inches

Result:is 1970.2 cubic inches.

7 0
3 years ago
Read 2 more answers
In a survey, 15 high school students said they could drive
OLga [1]

Answer:

No

Step-by-step explanation:

this is because only 50% of the college students said they could drive there fore it doesn't make sense.

6 0
3 years ago
Read 2 more answers
A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin
sleet_krkn [62]

Answer:

The probability that they each win six games is 0.225.      

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}

The probability that they each win six games is k=6.

P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}

P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625

P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625

P(X=6)=0.225

Therefore, The probability that they each win six games is 0.225.

3 0
3 years ago
Experimentally verify sum of three angles of an triangle is 180⁰.​
svetlana [45]

Draw line a through points A and B. Draw line b through point C and parallel to line a.

Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.

It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees.

Thus <)ABC + <)BCA + <)CAB = 180 degrees.

Lemma

If ABCD is a quadrilateral and <)CAB = <)DCA then AB and DC are parallel.

Proof

Assume to the contrary that AB and DC are not parallel.

Draw a line trough A and B and draw a line trough D and C.

These lines are not parallel so they cross at one point. Call this point E.

Notice that <)AEC is greater than 0.

Since <)CAB = <)DCA, <)CAE + <)ACE = 180 degrees.

Hence <)AEC + <)CAE + <)ACE is greater than 180 degrees.

Contradiction. This completes the proof.

Definition

Two Triangles ABC and A'B'C' are congruent if and only if

|AB| = |A'B'|, |AC| = |A'C'|, |BC| = |B'C'| and,

<)ABC = <)A'B'C', <)BCA = <)B'C'A', <)CAB = <)C'A'B'.

4 0
3 years ago
Need asap for a test !! Which of these tables represents a function?
Dominik [7]
We can’t see the tables unless you upload a picture :)
8 0
3 years ago
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