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3 years ago

There were 4 students at the football game. They had 6 sodas to share

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

8 0

Answer:

1.5

Step-by-step explanation:

Licemer1 [7]3 years ago

4 0

Answer:

1.5

Step-by-step explanation:

6/4=3/2

3/2=1 1/2

1.5

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What is the ratio for 8 and 12

Vitek1552 [10]

It can be 8:12 or as a fraction it’s 8/12

5 0

3 years ago

8x – 3y = 1<br> –2x + 3y = 11<br> Solve a Linear System by Elimination

alexdok [17]

I think it’s x= 2 but i would check that

8 0

2 years ago

The nth term of a sequence is 2n2 + 1 The nth term of a different sequence is 65 - 2n2. Show that there is only 1 number that is

HACTEHA [7]

Answer:

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

$n^{th}\text{ term: } 2n^2 + 1$

Sequence 2:

$n^{th}\text{ term: } 65 - 2n^2$

Equating the two terms, we get,

$2n^2 + 1 = 65 - 2n^2\\4n^2 = 64\\\\n^2 = \dfrac{64}{4}\\\\n^2 = 16\\n = \pm 4$

Since, n cannot take a negative value, we get n = 4.

Thus, there is only 1 common term both the series have for n = 4.

Common term:

$2(4)^2+ 1 - 65-2(4)^2 = 33$

Thus, the only common term is 33.

8 0

3 years ago

1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

3 0

3 years ago

Please Help Me

wel

X = 3
y = -1

get the x or y by itself first (second eq. is easier)
So, x + 2y = 1
-2y -2y
Now we get:
x = -2y +1 Plug it into the other equation.

2x + 3y = 3
2(-2y +1) + 3y = 3
-4y + 2 + 3y = 3
-1y +2 = 3
+1y -3 -3 +1 y

y = -1 (plug into either eq to get x)

<span>x + 2y = 1
</span>x+2(-1) = 1
x-2=1
+2 +2

x = 3

6 0

3 years ago