All categories

3 years ago

Can you help me? Please show how you work it out

Mathematics

1 answer:

qaws [65]3 years ago

8 0

Swimmers: 50 children ÷ 12 = 4.2 (you can't have a decimal so you must round up)

5 adults are need.

Dancers: 32 children ÷ 15 = 2.1 (you can't have a decimal so you must round up)

3 adults are need.

Minimum number of adults needed is: 5 for swimmers + 3 for dancers = 8 adults

You might be interested in

Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationali

Otrada [13]

Answer:

the answer is 7

Step-by-step explanation:

angle 30°

x=14/2

x=7

8 0

3 years ago

True or false. If the whole bar is 3 units long, the expression below shows the value of the shaded part of the bar. <img src="h

Salsk061 [2.6K]

I would go with TRUE in my opinion

8 0

2 years ago

The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t

yanalaym [24]

Answer:

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.

The area for an equilateral triangle is given by:

$\displaystyle A=\frac{\sqrt{3}}{4}s^2$

Where s is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.

Therefore, our volume is:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx$

Substitute:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx$

Evaluate the integral. Simplify:

$\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx$

Integrate using u-substitution:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)$

Evaluate:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)$

Therefore, the volume of the solid is:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)$

Our answer is A.

3 0

2 years ago

Read 2 more answers

I really need help with this one please help

Dominik [7]

Yo sup??

a.For this part just draw a triangle with sides 4,8 and 8 inches respectively.

The sides having 8 inches should make equal angle with the base side.

b.One angle is 20

The other two angles be x and y

but x=y because its an isosceles triangle

x+y+20=180

2x=160

x=80

Hope this helps.

5 0

3 years ago

There are six apples, five oranges, and one pear in John's basket. His friend takes three pieces of fruit at random without r

Lera25 [3.4K]

Answer:

<h2>There is a 9% of chances that all three selections are apples.</h2>

Step-by-step explanation:

We know that there are 6 apples, 5 oranges and 1 pear, which gives a total of 12 fruits, that's total number of possible outcomes, the denominator of the simple probability.

Now, his friend selects three fruits with three trials without replacement, that means we need to find the probability of each even and then multiply them, because they are independent events.

$P=\frac{6}{12} \times \frac{5}{11} \times \frac{4}{10}=\frac{120}{1320} \approx 0.09$

Notice that we calculated the total probability using the same expression. The important thing is that you need to decrease the number of events and the total number of outcomes at each selection, because after his friends picks one apple, he doesn't put it back in the bag.

Therefore, there is a 9% of chances that all three selections are apples.

(We multiplies the number by 100 to express it in percentage)

4 0

2 years ago