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Mashutka [201]
3 years ago
7

If the side opposite a 45 degree angle in a right triangle equals 12.5 meters, how long is the side adjacent the angle?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0
You need to draw out the triangle and then use the rules of a right triangle with tangent because you have the opposite side and you are trying to find the adjacent side.

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A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chalr. If he pa
zlopas [31]
The answer is $62.00

Explanation: If you take $48.50 times 6 you get $291 now subtract $291 from $663 you will have an answer of $372 that is how much the total of tables came to now divide 372 by 6 for the number of tables and you will be left with 62
7 0
3 years ago
Plz help me I am timed : (
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The answer to this question is 260
5 0
3 years ago
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Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
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Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.
8_murik_8 [283]

Answer:

The lodging cost of the room is $ 41.28

Step-by-step explanation:

Given as :

The rate of room including taxes = $ 45

The state tax = 6 %

The city tax = 2 %

The municipal tax = 1 %

So, The total tax = 6 % + 2 % + 1 % = 9 %

Let The lodging cost  = $ x

So,  According to question

x + 9 % of x = $ 45

Or, x + 0.09 × x = 45

Or, 1.09 × x = 45

∴ x = \frac{45}{1.09} = $ 41.28

Hence The lodging cost of the room is $ 41.28   Answer

6 0
3 years ago
2x+10=5y-4 solve for x
scoundrel [369]

Answer: x=2.5y-7

Step-by-step explanation:

Subtract 10 from both sides, resulting in 2x=5y-14

Divide both sides by 2 to isolate the x, resulting in x=(5/2)y-7

5 0
3 years ago
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