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wolverine [178]
3 years ago
5

Thomas is making tea. He adds sugar to water and stirs for a minute, but most of the sugar doesn’t dissolve. Which of the follow

ing could Thomas do to make the sugar dissolve more quickly?
A. heat the water


B. add more sugar


C. stir more slowly


D. use a smaller cup
Mathematics
2 answers:
KonstantinChe [14]3 years ago
5 0

Answer:

the answer is a. hope this helps

tamaranim1 [39]3 years ago
4 0
A, because heat will melt it and all the answers don’t make since
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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

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<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

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<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

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<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

3 0
2 years ago
(2x + 3) •x • (4x + 1)
Virty [35]

Answer:

If your trying to simplify then your answer would be 8x^{3} + 14x^{2} +3x

6 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
10y - 3y = 15 graph using the table of values​
harina [27]

Answer:

y+15/7

Step-by-step explanation:

i took this test

6 0
3 years ago
Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries
Elena-2011 [213]

Answer: 3:4

Step-by-step explanation: There are 6 red grapes and 8 blueberries. So this would make the ratio 6:8 normally. You want to find the biggest number that goes into 6 and 8, which is 2. You divide both by 2 and get 3:4, since both don't have a big number that goes into both, your answer is 3:4

7 0
3 years ago
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