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tatiyna
3 years ago
7

Eight children are divided into an two teams. how many different divisions are possible?

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0
8C2 =28 C stands for choose hope this helps
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HELP PLZ !!!<br><br> 4) what is the value of x to the nearest tenth ? <br><br> refer to image above
Jlenok [28]

Answer:

x = 34.9   to the nearest tenth.

Step-by-step explanation:

tan 64 = opposite side / adjacent side = x / 17.

x = 17 * tan 64

= 34.855

7 0
3 years ago
I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its wi
Ilia_Sergeevich [38]

 

The formula for perimeter is:

<span>P = 2 h +  2 w</span>

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

 

Therefore l is:

l = (2/3) w = 24 cm

 

<span>Hence the dimension should be 24cm by 36 cm</span>

6 0
3 years ago
If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?
Dominik [7]

Answer:

HJ=20\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units

we know that

The <u><em>intersecting chords theorem</em></u>  is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal

so

In this problem

(RH)(HT)=(GH)(HJ)

substitute the given values

(10)(16)=(8)(HJ)

solve for HJ

HJ=160/8\\HJ=20\ units

7 0
3 years ago
Read 2 more answers
What is the surface area of the following figure?
balandron [24]

Answer:

28 cm2

2 x 7 x 2 = 28

hope this helps

8 0
2 years ago
Read 2 more answers
Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
Read 2 more answers
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