1. According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York

To estimate the length of the lake, caleb starts at one end of the lake and walk 95m. He then turns a 60° angle and walks on a n

aivan3 [116]

Answer:

Length of the lake is 97.30 m

Step-by-step explanation:

We have given Caleb starts at one end of the lake and walk 95 m

So $d_1=95m$

And then he turns at an angle of 60°

So $\Theta =60^{\circ}$ and then again walk 8 m

So $d_2=8m$

We have to fond the total length of the lake , that is d

Total length of the lake is given by $d=\sqrt{d_1^2+d_2^2+2d_1d_2cos\Theta }=\sqrt{95^2+8^2+2\times 95\times 8\times cos60^{\circ}}=97.30m$

So length of the lake is 97.30 m

3 0

2 years ago

How do you solve 58 and 1/3÷6 and 2/3

strojnjashka [21]

Answer:

35/4, or 8 3/4 as a mixed number

Step-by-step explanation:

First, change 58 1/3 into an improper fraction by multiplying the whole number and denominator, then adding the numerator. 58 x 3 equals 174, + 1 equals 175. So, 58 1/3 as an improper fraction is 175/3. Next, change 6 2/3 into an improper fraction. 6 times 3 equals 18, plus 2 equals 20. So, it's 20/3. So, here are your two fractions:

175/3 & 20/3

To divide fractions, I like to use a method called Keep Change Flip. Basically, you keep the first fractions the same, then change the sign. The division sign changes into a multiplication symbol. Now, your equation should look like this: 175/3 x 20/3. Next, flip the fraction from 20/3 into 3/20. This is what your equation should look like now: 175/3 x 3/20. Now you can multiply the fractions together. Before you do so, you can cross reduce to make it easier. What is a number that both 3 and 3 can be divided by? The correct answer is 3. 3/3= 1, so the equation is now 175/1 x 1/20. However, you can continue to cross reduce. You can also divide 175 and 20 by 5, so the equation changes into this: 35/1 x 1/20. Multiply numerator by numerator, denominator by denominator. So, the answer is 35/4, or 8 3/4 as a mixed number. Hope this helped!

5 0

3 years ago

Mariah025 answer here please

larisa [96]

Answer:

wht

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4 0

2 years ago

What values of x make the equation x^2 + 9x – 22 = 0 true? Check all that apply.

sergij07 [2.7K]

If you would like to solve the equation x^2 + 9x - 22 = 0, you can do this using the following steps:

<span>x^2 + 9x - 22 = 0
</span>(x - 2) * (x + 11) = 0
1. x = 2
2. x = - 11

The correct result would be x = 2 and x = - 11.

7 0

2 years ago

Read 2 more answers

5(x+3)(x+2)-3(x2+2x+1)

mr Goodwill [35]

[ Answer ]

$\boxed{5x^{2} \ + \ 13x \ + \ 27}$