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vovikov84 [41]
3 years ago
12

High School Pre Cal

Mathematics
1 answer:
krok68 [10]3 years ago
7 0
We know that
1) Sandra can run a mile in 6 minutes-------> 6*60-----> 360 sec
2) 4 laps around the track equals 1 mile
so
4 laps around the track in 360 sec
1 lap in 360/4--------> 90 sec
3) the position of Sandra for t=90 sec must be equal to the point S (0,56)
I proceed to analyze each case for t=90 sec

case a) x(t)=-140 cos(pi*t/45)    y(t)=112 sin(pi*t/45)
x(t)=-140 cos(pi*90/45)------> -140
y(t)=112 sin(pi*90/45)-------> 0
the position is the point (-140,0)------> is not the point S

case b) x(t)=140 sin(pi*t/90)  y(t)=-112 cos(pi*t/90)

x(t)=140 sin(pi*90/90)------> 0
y(t)=-112 cos(pi*90/90)-------> 112
the position is the point (0,112)------> is not the point S
<span>
case c) x(t)=-70 sin(pi*t/45)  y(t)=56 cos(pi*t/45)
</span>x(t)=-70 sin(pi*90/45)------> 0
y(t)=56 cos(pi*90/45) -------> 56
the position is the point (0,56)------> is equal to the point S----> is the solution

case d) x(t)=70 cos(pi*t/90)  y(t)=-56 sin(pi*t/90)

x(t)=70 cos(pi*90/90)------> -70
y(t)=-56 sin(pi*90/90)-------> 0
the position is the point (-70,0)------> is not the point S

 therefore

the answer is the option C

x(t)=-70 sin(pi*t/45)  y(t)=56 cos(pi*t/45)


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A) x+(3x÷2y)<br>b) (b⁹)²×b⁵÷b¹¹=<br>c) (4²)⁶×4⁷÷4¹⁶=​
monitta

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

4 0
2 years ago
Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)
Inga [223]
  • Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: -4y=-3x+9

Next, divide both sides by -4 and your slope-intercept form of the original equation is y=\frac{3}{4}x-\frac{9}{4}

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

3 0
3 years ago
Read 2 more answers
Can u guys pls help me on this question and pls explain how u got the answer
Lady_Fox [76]

Answer:

55.75

Step-by-step explanation:

find the area of 1 side using the base and height and divide that answer by 2

5x6=30     30 divided by 2=15

all sides are equal so each side is 15

the base you do the same thing.

base is 5, height is 4.3

4.3 x 5= 21.5

divide it by 2 10.75

side 1=15

side 2= 15

side 3=15

base 1= 10.75

add all together

55.75

8 0
3 years ago
A man is 1.8m tall and standing 60m away from a light pole and the sun cast his shadow at 6m. What is the height of the light po
dsp73
<span>19.8 m We have 2 similar triangles. For the 1st triangle, we have two legs, one being the man's height of 1.8m and the second being the length of his shadow at 6m. So we have the ratio 1.8/6. The other triangle is comprised of the pole's height and length of the pole's shadow which will be 60m + 6m = 66meters. So we have another ratio of x/66 which has the same value as the first ratio. So let's solve for x. 1.8/6 = x/66 66*1.8/6 = x 11*1.8 = x 19.8 = x So the light pole is 19.8 meters tall.</span>
6 0
3 years ago
Joe has 70 quarters and dimes. The total value is $14.40. how many quarters does he have
maksim [4K]
14*4=56+1 for the 40 cents = 57 is your Answer
6 0
3 years ago
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