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3 years ago

Estimate the measure of the clockwise angle formed by the minute hand and the second hand, then classify the angle.

Mathematics

1 answer:

irga5000 [103]3 years ago

8 0

<span>A. 54°; acute is the answer</span>

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There are 364 students who are enrolled in an introductory biology course. If there are five boys to every eight girls, how many

Butoxors [25]

Answer:

The number of boys in the course will be = 140

Step-by-step explanation:

Given:

Total number of students enrolled in an introductory biology course = 364

There are 5 boys to every 8 girls in the course.

To find how many boys are in the course.

Solution:

Since, there are 5 boys to every 8 girls in the course.

So, ratio of boys to girls enrolled in the course = 5 : 8

Let the number of boys in the course be = $5x$

Then number of girls in the course will be = $8x$

Total number of students would be given as:

⇒ <em>Number of boys + Number of girls</em>

⇒ $5x+8x$

⇒ $13x$

Total number of students given = 364.

Thus, we have:

$13x=364$

solving for $x$

Dividing both sides by 13.

$\frac{13x}{13}=\frac{364}{13}$

∴ $x=28$

So, number of boys in the course will be = $5\times 28$ = 140

5 0

3 years ago

The vertex of the parabola below is at the point (1,3), and the point (2,6) is

Inessa05 [86]

Answer:

B. y=3(x-1)2 + 3

Step-by-step explanation:

Given that

vertex of the parabola is at the point (1,3)

let's verify, if the option B is the correct equation of the parabola.

$y=3(x-1)^2 + 3\\ \\y=3(x^2+1-2x) + 3\\\\y=3x^2+3-6x + 3\\\\y=3x^2-6x + 6....Eq1$

comparing to standard equationof parabola (standard quadratic equation), we get

$a=3, b=-6 and c=6$

to find the vertex we use formula for x- coordinate as $x=-b/2a$

$x=-(-6)/2(3)\\\\x=6/6\\x=1$

to find y put x=1 in the Eq1, we get

$y=3(1)^2-6(1)+6\\\\y=3-6+6\\\\y=3$

vertex =(x,y) = (1, 3)

thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified

7 0

2 years ago

1.7% as a fraction in simplest form

Sophie [7]

Answer:

$\sf1.7\% \\ = \sf \frac{1.7}{100} \\ = \boxed{ \bold{ \red{\frac{17}{1000} }}}$

Hope it helps!!

4 0

2 years ago

I need some serious help on this

motikmotik

BB BA BB BA
................

4 0

3 years ago

Are 45/75 and 90/150 proportional?

lesya [120]

Yes they are
. 90/150= 3/5
so 45/75 and 3/5.

3 0

3 years ago

Read 2 more answers