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katovenus [111]
3 years ago
12

Mrs Clarke said she had been marking for two hours. If she had marked two sets of books. About how long did it take to mark each

book?
Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0
How many books in each set?
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Find the measure of side c. Triangle A B C has a right angle at angle C. The measure of angle A is 29 degrees. Hypotenuse A B is
Pavel [41]

Given:

In triangle ABC, right angle at angle C.

a = 33 meters

m\angle A=29^\circ

To find:

The measure of side c.

Solution:

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

It is also written as:

\sin \theta =\dfrac{Opposite}{Hypotenuse}

In triangle ABC, angle C is a right angle. It means the side c is the hypotenuse.

In triangle ABC,

\sin A=\dfrac{a}{c}

\sin 29^\circ=\dfrac{33}{c}

c=\dfrac{33}{\sin 29^\circ}

On further simplification, we get

c=\dfrac{33}{0.4848}

c=68.0693

c\approx 68.07

Therefore, the measure of side c is 68.07 meters.

6 0
3 years ago
hmm so like whats the answer 72+ 90 -99/44*57777- n=3000 cover q :p​
frutty [35]
72+90=162-99=63/44=1.431*57777=82,678-n=3000 q:p = 1
6 0
4 years ago
Read 2 more answers
PLEASE HELP 35 POINTS MATH
ICE Princess25 [194]

Answer:

31

Step-by-step explanation:

-4+16+19=31

5 0
1 year ago
What is value of x ?
zmey [24]
60 degrees,
explanation-
equilateral triangle
8 0
4 years ago
during a particular period a university's information technology office received 20 service orders for problems with printers, o
stira [4]

Answer:

0.2384 = 23.84% probability that 3 were laser printers.

Step-by-step explanation:

The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

20 orders means that N = 8

8 were laser printers, which means that k = 8

Sample of 5 means that n = 5

What is the probability that 3 were laser printers?

This is P(X = 3).

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384

0.2384 = 23.84% probability that 3 were laser printers.

4 0
3 years ago
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