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2 years ago

Thirty-six members of the middle school choir, or 30% participated in the regional contest, as shown in the model below.

Mathematics

1 answer:

Firlakuza [10]2 years ago

3 0

Answer:

There are 120 students in the choir.

Step-by-step explanation:

Given that:

Number of members who participated in contest = 36

This represents 30% of the total members of choir at the school.

Let,

x be the number of total sutdents

30% of x = 36

$\frac{30}{100}x=36$

0.3x = 36

Dividing both sides by 0.3

$\frac{0.3x}{0.3}=\frac{36}{0.3}\\x=120$

Hence,

There are 120 students in the choir.

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An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo

Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = $\sqrt{A^{2} + B^{2} -2AB cos(c) }$

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = $\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }$

C = $\sqrt{250000 + 90000 - [215000 cos(60) }]$

C = $\sqrt{340000 - [215000 * 0.5 }]$

C = $\sqrt{340000 - [107500 }]$

C = $\sqrt{232500}$

C = 482 km

The bearing can be gotten by using the Sine Rule.

$\frac{sina}{A}$ = $\frac{sinc}{C}$

sina/500 = sin60/482

482 sina = 500 sin60

sina = $\frac{500 sin60}{482}$

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0

2 years ago

I have two fair dice each numbered 1 to 6 I throw both dice and add the two numbers together. What is the probability that the n

liraira [26]

Answer:

7 / 36

Step-by-step explanation:

Using the sample space attached,

Required outcome = multiple of 5 from the sun of two rolled dice = 7

Total possible outcomes =(number of faces)² = 6² = 36

Therefore, the probability of obtaining a sum which is a multiple of 5 is :

P(sum which is a multiple of 5) :

Required outcome / Total possible outcomes

= 7 / 36

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2 years ago

Can anyone fill these out?

Tcecarenko [31]

Answer:

Part (a)

Part (b)

Find the filled table in the attachment

Part (c)

1/36

Step-by-step explanation:

The total number of possible outcomes using the multiplicative rule is given by;

6*6 = 36.

There are 6 possible outcomes in rolling each die, we simply find the product.

The probability of rolling double sixes is given by;

pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36

The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.

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3 years ago

Whos bored rn? i am!!!

JulijaS [17]

I am very bored in class

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3 years ago

Read 2 more answers

The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total.

puteri [66]

Answer:

84:56, I think?

3 x 28 for the boys then minus 28 for the girls

3 0

2 years ago