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natali 33 [55]
3 years ago
10

In the right triangle shown, m

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
8 0
Where is it though...
Dafna1 [17]3 years ago
3 0

Answer:4 root 3

Step-by-step explanation:

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What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?​
wolverine [178]

Step-by-step explanation:

We can set up the ration of the radian angle θ in your problem in terms of degrees given as the ratio: (Θ/2·pi) = (72/360), solving for Θ we get Θ = 1.26 radians. Then for the arc length s = Θ·r using this value gives s = 1.26·4 = 5.04

7 0
3 years ago
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
3 years ago
Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct
frez [133]

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

7 0
3 years ago
Read 2 more answers
A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.
Bogdan [553]
V = l * w * h
470.40 = 6.4 * 9.8 * h
Multiply the length and width on the right side of the equation.

470.40 = 62.72 * h
Divide both sides by 62.72
7.5 cm = h

CHECK
V = l * w * h
V = 6.4 * 9.8 * 7.5
V = 470.4 cm^3
5 0
3 years ago
Read 2 more answers
The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
Fynjy0 [20]

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

7 0
3 years ago
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