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kogti [31]
3 years ago
11

Solve for x 15cot(2x)+3=0 please help

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0
<span>The best answer   Is
the values of x are -0.6867and 0.8841</span>
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You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi
irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

tan(52^o)=\frac{AC}{50} ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

AC=tan(52^o){50}

AC=64\ ft

step 2

In the right triangle ABE

Find the length side AB

tan(21^o)=\frac{AB}{50} ---> by TOA (opposite side divided by the adjacent side)

solve for AB

AB=tan(21^o){50}

AB=19.19\ ft

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

64-19.19=44.81\ ft

5 0
3 years ago
2/3 of the students in the cafeteria are 6th graders how many 6th graders are there if the cafeteria has 180 kids
Sergeu [11.5K]

Answer:

120 6th graders

Step-by-step explanation:

You need to set up a proportion...

2/3= x/180

360=3x

x=120

3 0
3 years ago
Read 2 more answers
X+y=5<br> x×y=6<br> Solve simultaneously with steps
igor_vitrenko [27]

Answer:

(3, 2), (2, 3)

Step-by-step explanation:

x + y = 5

xy = 6

Solve the first equation for x.

x = 5 - y

Substitute 5 - y for x in the second equation.

xy = 6

(5 - y)y = 6

5y - y² = 6

y² - 5y + 6 = 0

Factor.

(y - 2)(y - 3) = 0

y - 2 = 0  or y - 3 = 0

y = 2  or y = 3

Now substitute 2 for y in the first equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

One solution is x = 3; y = 2, or (3, 2).

Now substitute 3 for y in the first equation and solve for x.

x + y = 5

x + 3 = 5

x = 2

Another solution is x = 2; y = 3, or (3, 2).

Answer: (3, 2), (2, 3)

7 0
2 years ago
Nancy had 333 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost ?
MissTica

Answer:

35 dollars

Step-by-step explanation:333-18=315 dollars

315/9=35 dollars for each book

7 0
3 years ago
Which statements are true? Check all that apply.
Dvinal [7]

Answer:

3is the answer because t

s apply

Step-by-step explanation:

3 0
2 years ago
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