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Lady bird [3.3K]
3 years ago
9

Ther are 29 students in Mrs. Hernandez’s homeroom. One student will be randomly selected to act as a representative on the stude

nt council. If there are 11 boys and 18 girls in the class, what is the probability that the representative will be a boy?
Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

11/29

Step-by-step explanation:

number of boys divided by total students

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A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be
Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  =\frac{c}{sin(C)}

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)}  \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o

7 0
2 years ago
What is 346 rounded to the nearest hundred
exis [7]
300. When the number is 5 and up, then you round up to the next digit. For example, 350 would round up to 400. But seeing as it is 346, you round down. 
3 0
3 years ago
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A large adult kangaroo can have a mass of 90,000 grams. How many kilograms is it. (1g =1,000g)
liubo4ka [24]
1kg=1,000g!!!\\\\therefore\ 1g=\frac{1}{1,000}kg=0.001kg\\--------------------\\90,000g=90,000\cdot0.001kg=\boxed{90kg}\\\\Answer:\boxed{\boxed{90,000g=90kg}}
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3 years ago
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How can you use a right angle to determine the classification of another angle?
nirvana33 [79]
you can measure the first angle with a protractor and then measure the other one see if there is a different angle
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3 years ago
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A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

  • n₁, n₂, n₃ ... is the number of arrangements for each object
  • n is the number of objects
  • nₓ is the number of arrangements for the last object

In this case

  • n₁ is the identical copies of Hamlet
  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

4 0
3 years ago
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