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Keith_Richards [23]
2 years ago
6

Plz help one question​

Mathematics
1 answer:
Vladimir [108]2 years ago
3 0

z° = 80° (Being corresponding angles)

y° + 80° = 180° (Being linear pair of angles)

=> y° = 180° - 80°

=> y° = 100°

x° = y° (Being interior opposite angles)

=> x° = 100°

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A particle moves along a straight line. The distance of the particle from the origin at time t is modeled by the equation below.
laiz [17]

Answer:

The value of t that will satisfy the equation is π/6 (which is 30 degrees)

Step-by-step explanation:

The function that models the movement of the particle is given as;

S(t) = 2 sin(t) + 3 cos (t)

Now we want to the value of t between 0 and pi/2 that satisfies the equation;

s(t) = (2+ 3√3)/2 = 1 + 3√3/2

What we do here is simply find that value of t that would ensure that;

2sin(t) + 3cos(t) = 1 + 3√3/2

Without any need for rigorous calculations, this value of t can be gotten by inspection.

From our regular trigonometry, we know that the sin of angle 30 is 1/2 and its cos value is √3/2

We can make a substitution for it in this equation.

We obtain the following;

2 sin(30) + 3cos (30) and that is exactly equal to 1 + 3√3/2

Do not forget however that we have a range. And the range in question is between 0 and π/2

Kindly that π/2 in degrees is 90 degrees

So our range of values here is between 0 and 90 degrees.

So to follow the notation in the question, the value within the range that will satisfy the equation is π/6

4 0
3 years ago
Marie has a small copy of Rene Magritte's famous painting, The Schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The
Alex73 [517]
A. Find the dimensions of the original painting.

 

Since the scale is 1 in : 40 cm

2 in ( 40 cm / 1 in) = 80 cm

1.5 in ( 40 cm / 1 in) = 60 cm

80 cm by 60 cm

 

B. Find the area of the original painting.

<span>A =  80 cm x 60 cm = 4800 sq cm</span>

 

C. Since 1 inch is 2.54 cm, find the dimensions of the original painting in inches.

80 cm ( 1 in / 2.54 cm) = 31.5 in

60 cm ( 1 in / 2.54 cm) = 23.6 in

 

D, Find the area of the original painting in square inches.

A = 31.5 in x 23.6 in = 743.4 sq in

<span> </span>

5 0
3 years ago
Yeah. I need help with this
kiruha [24]

Answer:

:)

Step-by-step explanation:

well if you take 35x, which is 35 times whatever, + 70, you get y. so the first one is 35(1) + 70 = 105.

so i’ll go in order

35 x 1 + 70 = 105

35 x 2 + 70 = 140

35 x 3 + 70 = 175

35 x 4 + 70 = 210.

just multiply then add 70

hope this helped

7 0
2 years ago
Read 2 more answers
the cable of a hoist has a cross-section of 80 mm2. the hoist is used to lift a crate weighing 500 kg. what is the stress in the
Daniel [21]

Answer:

stress on the cable is 61.312mpa

If steel is used, extension will be 0.91968mm

If polypropylene is used, extension will be 0.1532mm

Step-by-step explanation: detailed explanation and calculation is shown in the image below

3 0
3 years ago
the expression 5n can be. used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represen
sergiy2304 [10]
17 dollars for Vincent to bowl 3 gamees
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