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pashok25 [27]
3 years ago
12

Solve for 2. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

x ≈ 94.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan58° = \frac{LM}{KL} = \frac{x}{59} ( multiply both sides by 59 )

59 × tan58° = x , then

x ≈ 94.4 ( to the nearest tenth )

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Find the center of the circle that you can circumscribe about ABC A=(-1,-2) B=(-5,-2) C=(-1,-7)
Luda [366]

Answer:

O : (-3,-4.5)

Step-by-step explanation:

center of circle: O (x.y)

Radius (r) = OA = OB = OC

r² = (x - (-1))² + (y - (-2))² ---- OA²  

r² = (x - (-5))² + (y - (-2))² ---- OB²

r² = (x - (-1))² + (y - (-7))² ---- OC²

OA²=OB² : (x - (-1))² + (y - (-2))² =  (x - (-5))² + (y - (-2))²

(x+1)² - (x+5)² = 0       x²+2x+1-x²-10x-25 = 0

8x = -24

x = -3

OA² = OC²   (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²

y²+4y+4 = y² +14y +49

10y = -45

y = - 4.5

O : (-3,-4.5)

6 0
3 years ago
if a sprinter runs are distance of hundred metres in 9.83 seconds calculate the speed in kilometre per hour​
My name is Ann [436]

Answer:

98.3 seconds

Step-by-step explanation:

If you use stoichometry you can convert your units

9.83 seconds

over 100 meters    a kilometer is 1000 meters so

9.83/100 *10 because what you do to denominator needs to happen to numerator

98.3 seconds

over 1 kilometer

it take the sprinter 98.3 seconds to run a kilometer and one way to check is well a kilo is a longer distance so logically the time it takes them has to be higher cause they cannot run a kilo faster than they run 1/10 of it

8 0
3 years ago
A hot air balloon hovers above its launch site at an altitude of 100 meters. The pilot of the balloon sights a parking lot at a
IgorLugansk [536]

Answer:

The horizontal distance between the parking lot and the launch site is 470 meters

Step-by-step explanation:

Let

x----->  the horizontal distance between the parking lot and the launch site

we know that

The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance

so

tan(12°)=100/x

Solve for x

x=100/tan(12°)=470 meters

6 0
3 years ago
|4a|=20<br> PLEASE HELPPPPPPPPPP
fgiga [73]

Answer:

The answer to |4a|=20 is a=5 or a=-5.

Step-by-step explanation:

6 0
3 years ago
A dress that is normally costs 69.50 is on sale for 45% off. What is the sale price of the dress
vekshin1
$69.5 minus 45% is $38.23
5 0
4 years ago
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