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zzz [600]
3 years ago
7

Answers : A:6.6 B:7.2 C:7.8 D8.1

Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

approx 7.81 Exactly: √61

Step-by-step explanation:

Use Pythag theorem: 5^2 + 6^2 = hyp^2 (line AS)

25 + 36 = 61

hyp = √61 or about 7.81

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A store manager is marking down washing machines from $820 to $287. What is the discount percentage?
Elis [28]

Answer:

65%

Step-by-step explanation:

formula is (og(original) price - sell price ÷ og price)*100

820-287=533

533÷820=0.65

0.65x100=65

65%

8 0
3 years ago
Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives
lapo4ka [179]

Answer:

a) 40 feet

b) 54 ft/min

c) 4 mins

Step-by-step explanation:

Solution:-

- Kesha models the height ( h ) of the baton from the ground level but thrown from a platform of height hi.

- The function h ( t ) is modeled to follow a quadratic - parabolic path mathematically expressed as:

                           h ( t ) = −16t² + 54t + 40

Which gives the height of the baton from ground at time t mins.

- The initial point is of the height of the platform which is at a height of ( hi ) from the ground level.

- So the initial condition is expressed by time = 0 mins, the height of the baton h ( t ) would be:

                         h ( 0 ) = hi = -16*(0)^2 + 54*0 + 40

                         h ( 0 ) = hi = 0 + 0 + 40 = 40 feet

Answer: The height of the platform hi is 40 feet.

- The speed ( v ) during the parabolic path of the baton also varies with time t.

- The function of speed ( v ) with respect to time ( t ) can be determined by taking the derivative of displacement of baton from ground with respect to time t mins.

                        v ( t ) = dh / dt

                        v ( t )= d ( −16t² + 54t + 40 ) / dt

                        v ( t )= -2*(16)*t + 54

                        v ( t )= -32t + 54

- The velocity with which Kesha threw the baton is represented by tim t = 0 mins.

Hence,

                        v ( 0 ) = vi = -32*( 0 ) + 54

                        v ( 0 ) = vi = 54 ft / min

Answer: Kesha threw te baton with an initial speed of vo = 54 ft/min

- The baton reaches is maximum height h_max and comes down when all the kinetic energy is converted to potential energy. The baton starts to come down and cross the platform height hi = 40 feet and hits the ground.

- The height of the ball at ground is zero. Hence,

                     h ( t ) = 0

                     0 = −16t² + 54t + 40

                     0 = -8t^2 + 27t + 20

- Use the quadratic formula to solve the quadratic equation:

                     

                    t = \frac{27+/-\sqrt{27^2 - 4*8*(-20)} }{2*8}\\\\t = \frac{27+/-\sqrt{1369} }{16}\\\\t = \frac{27+/-37 }{16}\\\\t =  \frac{27 + 37}{16} \\\\t = 4

Answer: The time taken for the baton to hit the ground is t = 4 mins

3 0
3 years ago
En un hotel hay 67 habitaciones entre dobles y sencillas, si el número de camas es 92. ¿Cuántas habitaciones hay de cada tipo?​
Alina [70]

Answer:

25 dobles y 42 sencillas

Step-by-step explanation:

25 x 2 = 50 camas + 42 = 92

y 25 habitaciones dobles + 42 sencillas = 67

7 0
3 years ago
Solve x^2-y^2+x+1+2yx+y=0
Harlamova29_29 [7]
Combine like terms and use inverse operations
4 0
3 years ago
John has 13 boxes of apples. Each box holds 6 apples. If 7 of the boxes are full, and 6 of the boxes are half full, how many app
TEA [102]
John would have 60 apples!
Hope this helps!!!!! And btw tell John to give me some of them apples lol XD
7 0
3 years ago
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