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Molodets [167]
3 years ago
14

A school has 320 girls and 250 boys.

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

580 girls and boys

Step-by-step explanation:

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
2 years ago
Get a number 100 by using four sevens (7’s) and a one (1)?​
Oksanka [162]

<em><u>Answer 1: 177 – 77 = 100 </u></em>

<em><u>Answer 2: (7+7) * (7 + (1/7)) = 100</u></em>

8 0
2 years ago
Read 2 more answers
a car is traveling at a stead rate of speed. the points (1,40) and (3,y) appear on a graph of the cars distance over time. what
maria [59]

Answer:

Do you have a graph?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
a movie ticket cost $9. a concert ticket cost $45. which equation can be use to find how many times as much the concert ticket c
Maurinko [17]

Answer:

9x5=45

Step-by-step explanation:

4 0
3 years ago
Round 45,621 to the nearest hundred.
Schach [20]

Answer:

The answer is 45600 as 621 is less than 650 and should be rounded down.

4 0
2 years ago
Read 2 more answers
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