An archaeological site is to be made accessible for viewing by the public. To do this, archaeologists built two straight paths from point A to point B and from point B to point C as shown in the following diagram. The length of path AB is 185 m, the length of path BC is 250 m, and angle B is 125°, diagram not to scale Archaeological Site a. Find the length of AC​

An Archaeological Site Is To Be Made Accessible For Viewing By The Public. To Do This, Archaeologists

Answers

Answer 1

Answer:

387 km

Step-by-step explanation:

The length of AC, b can be obtained using the cosine rule ; using the cosine relation:

b² = a² + c² - 2ac CosB

b² = 250² + 185² - 2(250*185) Cos125

b² = 62500 + 34225 - 92500 * −0.573576

b² = 96725 + 53055.820

b² = 149780.82

b = sqrt(149780.82)

b = 387.01527

b = 387 km (nearest whole number)


Related Questions

Multiply.
(4x-3)(3x+1)
Simplify your answer.
П
?

Answers

Answer:

12x^2 -5x - 3

Step-by-step explanation:

( 4x - 3)( 3x + 1  )

distribute

12x^2 + 4x - 9x - 3

combine like terms

12x^2 - 5x - 3

Hope this helps!!!

Which statement is true about the numbers marked on this horizontal number line?

A.
0.25 -0.25
C.
-0.25 = 0.25
D.
-0.25 > 0.25

Answers

It is C because they are both equal in distance.

Answer:

B!

Step-by-step explanation:

The answer is B. id.k how to explain tho.

Kris bought a 6 pack of water bottles for $4.79. Find the unit rate to the nearest cent.

Answers

Step-by-step explanation:

Kris bought a 6 pack water for =4.79$

So,

1 unit of water bottle =[tex]\tt{\dfrac{4.79}{6}=0.798333....=0.80\$ }[/tex] ⠀

TWO wires support a young tree. The wires reach the tree 2 teet above the ground
and are each 3.5 feet from the base of the tree.

Answers

Answer: 5.74 Feet Hope this helps <3

Step-by-step explanation:

It’s a picture^^^^^^^^

Answers

Answer: F

Step-by-step explanation: 5+6+7x8=67

i will mark brainliest to whoever shows their work

Answers

Answer: -280000

Step-by-step explanation: Remove parentheses: (a)=a   =12x10 4  - 4x10 5

12x10 4 = 120000

4x10 5=400000

=120000-400000

then subtract the numbers:120000-400000= -280000

Please help with this

Answers

Answer: 86

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

I did this before I think it was 86 not sure

17/15 - 4/5 please answer

Answers

Answer:

1/3

Step-by-step explanation:

17/15-4/5

17/15-4*3/5*3

17/15-12/15

17-12/15

5/15

1/3

The equivalent value of the fraction is A = 1/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = p - q

when the value of p = 17/15

And , when the value of q = 4/5

On simplifying the equation , we get

A = 17/15 - 4/5

So , the left hand side of the equation is equated to the right hand side by the value of ( 17/15 - 4/5 )

A = ( 17/15 - 4/5 )

Taking the LCM of the denominators of the fraction , we get

A = ( 17 - 12 ) / 15

On simplifying , we get

A = 5/15

A = 1/3

Therefore , the value of A = 1/3

Hence , the fraction is A = 1/3

To learn more about fractions click :

https://brainly.com/question/29766013

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determine whether or not the side lengths can be sides of a triangle 23, 16, 7

Answers

Answer:

The side lengths can not form a triangle

Step-by-step explanation:

Given

[tex]Sides: 23,16,7[/tex]

Required

Can the side lengths can form a triangle?

To do this, we apply triangle Inequality Theorem, which states that for sides a, b and c:

[tex]a + b>c[/tex]  ,  [tex]c + b>a[/tex]   and [tex]c + a>b[/tex]

In this case, we have:

[tex]23 + 16 > 7[/tex]

[tex]39 > 7[/tex] --- True

[tex]23 + 7 > 16[/tex]

[tex]30 > 16[/tex] --- True

[tex]16 + 7 > 23[/tex]

[tex]23 > 23[/tex] --- False

Hence, the side lengths can not form a triangle

is the equation a true statement when x equals -3 in other words is -3 a solution to the equation 6 x + 5 = 5x +8 + 2x explained? explain

Answers

Answer: Yes

Step-by-step explanation: bc 6(-3)+5=5(-3)+8+2(-3)

Becomes -18+5=-15+8+-6 which equals -13 on both sides meaning -3 is a solution

6x+5=5x+8+2x

6x+5=(5x+2x)+(8)(Combine Like Terms)

6x+5=7x+8

6x+5=7x+8

Step 2: Subtract 7x from both sides.

6x+5−7x=7x+8−7x

−x+5=8

Step 3: Subtract 5 from both sides.

−x+5−5=8−5

−x=3

Step 4: Divide both sides by -1.

−x

−1

=

3

−1

x=−3

Answer:

x=−3

Helppppp!
Regular pentagon RSTUV has sides that are half the length of regular pentagon JKLMN,
What is the ratio of the perimeter of pentagon RSTUV to the perimeter of pentagon JKLMN?
A 1:2
B, 1:4
C, 1:5
D. 1:10
E, 1:25

Answers

Answer:

A, 1:2 ratio

Explanation:

Since 1 is half of 2, and the problem states that RSTUV is half of JKLMN, A is the correct ratio.

Answer:

c

Step-by-step explanation:

A fence surrounds two sides of the
backyard. The total length of the fence is 86
feet, with the longest portion measuring 51.5
feet. What is the length of the second side of
the fence?

Answers

Answer:34.5

Step-by-step explanation:

86-51.5= 34.5

What is the volume of the rectangular pyramid shown belown?

Answers

9514 1404 393

Answer:

  168 cubic inches

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = (1/3)Bh

where B is the area of the base, and h is the height.

The base is a rectangle, whose are is given by the formula ...

  A = LW

  A = (8 in)(7 in) = 56 in²

Then the pyramid volume is ...

  V = (1/3)(56 in²)(9 in) = 168 in³

The volume of the pyramid is 168 cubic inches.

please help will give u brainliest pls help me​

Answers

Answer:

19

Step-by-step explanation:

1/2*(5+x)*4=48

The formula for finding the area of a trapezium is:
Area= 1/2 x (a+b) x h
So the formula will work oppositely
4 cm is the height while 5 and the other 5 is sides.. sorry i can’t find the formula now

What is 3 3/5 x (-8 1/3)=

Answers

Answer:

Step-by-step explanation:

Convert these mixed fractions to improper fractions.

3 3/5 = 18/5

-8 1/3 = -25/3

Now, it is easier to multiply them. Multiply the numerators and the denominators.

18  x   25   =   450

5          3           15

Simplify the final answer by dividing 450 ÷ 15, which is 30.

Melissa rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 12.

Answers

Answer:

1/36

Step-by-step explanation:

(6,6) is the only possible outcome of getting a total of 12

g Find the equation of the line passing through the point (1, 1, 1) which is perpendicular to the plane containing the points (1, 0, 0), (2, 1, 1) and (1, 1, 2).

Answers

Answer:

The equation of the line is given by:

[tex]x = 1 + t[/tex]

[tex]y = 1 - 2t[/tex]

[tex]z = 1 + t[/tex]

Step-by-step explanation:

Parametrizing the equation of the line in function of t, the equation of the line is given by:

[tex]x = x_0 + at[/tex]

[tex]y = y_0 + bt[/tex]

[tex]z = z_0 + ct[/tex]

In which we have an initial point [tex](x_0,y_0,z_0)[/tex] and [tex](a,b,c)[/tex] is a vector parallel to the line.

Line passing through the point (1, 1, 1)

This means that [tex]x_0 = y_0 = z_0 = 1[/tex]. So

[tex]x = 1 + at[/tex]

[tex]y = 1 + bt[/tex]

[tex]z = 1 + ct[/tex]

Perpendicular to the plane containing the points (1, 0, 0), (2, 1, 1) and (1, 1, 2).

From this, we get two vectors:

[tex](2-1,1-0,1-0) = (1,1,1)[/tex]

[tex](1-2,1-1,2-1) = (-1,0,1)[/tex]

The parallel vector is given by the determinant of the following matrix:

[tex]\left[\begin{array}{ccc}i&j&k\\1&1&1\\-1&0&1\end{array}\right][/tex]

Which is:

[tex]D = i*1*1 + j*1*-1 + k*1*0 - k*1*(-1) - j*1*1 -i*1*0[/tex]

[tex]D = i - j + k - j[/tex]

[tex]D = i - 2j + k[/tex]

So the vector is (1,-2,1), and the equation of the line is:

[tex]x = 1 + t[/tex]

[tex]y = 1 - 2t[/tex]

[tex]z = 1 + t[/tex]

19. Malik is 10 years less than half his mother's age. If
Malik is 12 yrs. old, how old is his mother?

Answers

Answer:

34

Step-by-step explanation:

12+12=24

24+10=34

Answer:

If he is 12 his mom would be 22.

Step-by-step explanation:

12+10=22

       </3 PureBeauty

find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Answers

Answer:

y = 1/2x + 1

Step-by-step explanation:

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.

Answers

Answer: $7,605

Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

= Principal * (1 + rate)^ no. of periods

= 6,500 * (1 + 17%)

= $7,605

Which of the following proportions is true?
12 pizzas
18 people
9 pizzas
24 people
24 pizzas
48 people,
8. pizzas
20 people
20 pizzas
60 people
36 pizzas
96 people
48 pizzas
24 people
48 pizzas
60 people

Answers

12 pizzas hahaisjsjskdndhdu

68/7 in fraction form

Answers

Answer:

9.71 in decimal form

Step-by-step explanation:

Tashi Beverages Ltd. company manufacture a coca
cola juice. In a manufacturing process, 3% of tools
produced turn out to be defective. Find the
probability that in a sample of 30 tools, at most 2
will be defective?

Answers

Answer:

you spam answered my question

Step-by-step explanation:

consider this revenge

A koala weighs 20 pounds. In her pouch, she carries her joey that weighs 20 ounces. What is the combined weight of the adult koala and her joey in ounces? (HELP FAST)

Answers

Answer:

kjgfdhsxfcgmnhmj,kouiyf

Step-by-step explanation:ugytfguilhyuyrtdyrjcgvh

Answer:

340 oz

Step-by-step explanation:

20 lb = 320 ounces

320 oz + 20 oz = 340 oz

Giving thanks, brainliest, or rating would be appreciated!

At noon, a barista notices she has $20 in her tip jar. If she makes an average of $0.50 from each customer, how much will she have in her tip jar if she serves n more customers during her shift

Answers

Answer:

She has $20 + $0.50n in her tip jar.

Step-by-step explanation:

Amount in tip jar at noon = $20

Average amount made from each customer = $0.50

Number of additional customers served after noon = n

Therefore, we have:

Additional amount made after noon = Average amount made from each customer * Number of additional customers served after noon = $0.50 * n = $0.50n

Amount in tip jar = Amount in tip jar at noon + Additional amount made after noon = $20 + $0.50n

Therefore, she has $20 + $0.50n in her tip jar.

The sum of three consecutive EVEN integers is is 138. Find the smallest integer.

Answers

Step-by-step explanation:

Let x be the smallest even integer.

Then (x + 2) and (x + 4) are the other even integers.

We have x + (x + 2) + (x + 4) = 138.

=> 3x + 6 = 138

=> 3x = 132

=> x = 44.

Hence the smallest integer is 44.

4. Show that FD=1/2CB, FE - 1/2AB, and DE = 1/2AC.

Answers

can you take a picture of the problem?

If 1 inch on a map represents 20 miles, what is the mileage represented by 2.5 inches?
A 40 miles
B 10 miles
C 45 miles
D 50 miles

Answers

Answer:

50 miles(D)

Step-by-step explanation:

20 x 2.5

which graph shows a system of equations with infinitley many solutions

Answers

Answer:

where are the equation I don't see them

Please answer test!

Are these shapes similar?

Answers

yes they are! hope this helps :)
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