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Ilia_Sergeevich [38]
2 years ago
15

A surveyor standing at A notices two posts B and C on the opposite side of a canal. The posts are 120m apart. If the angle of si

ght between the posts is 37, how wide is the canal?
Mathematics
1 answer:
AveGali [126]2 years ago
5 0

Unfortunately there isn't enough information.

Check out the diagram below. We have segment BC equal to 120 meters long. Points B, C, D and E are all on the edge of the same circle. According to the inscribed angle theorem, angles BDC and BEC are congruent. This shows that the surveyor could be at points D or E, or the surveyor could be anywhere on the circle. There are infinitely many locations for the surveyor to be at, which leads to infinitely many possible widths of this canal.

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Dustin has a spinner that is divided into 5 equal-size sections colored pink, blue, orange, white, and green. What is the probab
jok3333 [9.3K]

Answer:

1/6

Step-by-step explanation:

1st spin:

1 out of the 5 sections are pink, so the probability of spinning a pink on the 1st spin is 1/5.

2nd spin:

5 out of the 6 sections are not pink, so the probability of spinning a pink on the 2nd is 5/6.

Multiply the probabilities of the two spins to get the answer.

\frac{1}{5} *\frac{5}{6} =\frac{5}{30} =\frac{1}{6}

8 0
3 years ago
111. Dani has $1,000 in an investment account that earns 3% per year, compounded monthly.
tangare [24]

Answer:

A(t) = 1000(1.0025)^{12t}

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money in the account after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the number of years the money is invested or borrowed for.

For this problem, we have that:

P = 1000

The investment is compounded monthly. There are 12 months in a year. So n = 12

The interest rate is 3%. So r = 0.03.

So

The amount of money in her account after t years is:

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 1000(1 + \frac{0.03}{12})^{12t}

A(t) = 1000(1.0025)^{12t}

5 0
3 years ago
Find a polynomial with integer coefficients that satisfies the given conditions.
stepladder [879]
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(a-b)(a+b) = a^2-b^2\qquad \qquad 
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x=5-i\implies &x-5+i=0
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(x^2-10x+25)~~-~~(-1)=0\implies x^2-10x+25+1=y
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8 0
3 years ago
Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in th
diamong [38]

Answer: Tyler used the distributive property.

Step-by-step explanation:

For the expression:  

Madison wrote:  which is by commutative property of addition.

The commutative property of addition says that , for a,b be any real number

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The distributive property says that , for a,b,c be any real numbers.

Hence, the last option is correct.

6 0
3 years ago
Read 2 more answers
1. The sum of x and -45 is at most 35
Lorico [155]

Answer:

The given set of equation are:   x+ (-45) ≤  35  ,  x - (-45) ≥  35

For the given equality to be true, x  ≤ 35

Step-by-step explanation:

Here, given the first number = x

Second number  = -45

Now, Sum of x  and - 45 is at most 35.

⇒ x+ (-45) ≤  35

Also,  The difference of x and -45 is at least 35.

⇒ x - (-45) ≥  35

Now, simplifying the given set of equations:

x  - 45  ≤  35  ⇒    -x - (-45) >   - 35   ( as 3  <  4  ⇒ -3  > -4)

or, -x  + 45  >  - 35

and second equation is x  + 45 ≥  35

Now, solving both the equations by not taking sign of inequality in to the consideration, we get

x - 45  = 35

x + 45 = 35  

Adding both equations,we get:   ⇒ 2x = 70

                                                          or x = 35

Hence for the given equality to be true, x  ≤ 35

5 0
3 years ago
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