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natima [27]
3 years ago
12

The length of the hypotenuse of a 30°-60°-90° triangle is 11. What is the perimeter?

Mathematics
1 answer:
Anettt [7]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Using pythagoras theorem

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EASYYYYYYYYYYYYYYYYYYYYYYYYYYYY
uranmaximum [27]
The correct answer is:  [C]:  " -5 ΙxΙ = 25 " .
______________________________________________
In this answer choice, when you divide each side by "-5" ; 

 you get:  " ΙxΙ = -5 ;

If x = 5, the result is "5" ; NOT "-5" .

If x = -5, the result is "5" ; NOT "-5" .

The "absolute value" of a value is always "zero" or greater.
______________________________________________
Answer choice:  [C]: has no solution.
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6 0
3 years ago
A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?
Nookie1986 [14]

Answer:

<em>The angle of elevation of the sun is 32°</em>

Step-by-step explanation:

<u>Right Triangles</u>

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

\displaystyle \tan x=\frac{\text{opposite leg}}{\text{adjacent leg}}

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

\displaystyle \tan x=\frac{20}{32}=0.625

Calculate x by using the inverse tangent:

x=\arctan 0.625

x=32^\circ

The angle of elevation of the sun is 32°

7 0
3 years ago
The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the s
melisa1 [442]

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

<em>~ an aesthetics lover</em>

5 0
3 years ago
41 out of 50 women surveyed liked perfume. what percentage of women did NOT like perfume​
krok68 [10]

Answer:

18%

Step-by-step explanation:

Long Version: 41/50 = 0.82 and when you move the decimal two places right, you will get 82%. 100%-82%= 18%

Short Version: 9/50 people didn't like perfume. 9/50= 0.18 then you move the decimal two places right and it becomes 18%.

3 0
3 years ago
Read 2 more answers
The sign shows distances from a rest stop to the exits for different towns along a straight section of highway. The state depart
torisob [31]
Refer to the diagram shown below.

The exit for Freestone is built midway between Roseville and Edgewood,
therefore the distance from O to the new exit is
(1/2)*(33+55) = 44 mi.

Let x =  distance from Midtown to the new exit.
Because the distance from O to the new exit is equal to (x + 17), therefore
x + 17 = 44
x = 44 - 17 = 27 mi.

Answer:
When the new exit is built, the distance from the exit for Midtown to the exit for Freestone will be 27 miles.

3 0
3 years ago
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