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goldenfox [79]
3 years ago
12

360 kilometers is 24% of how many kilometers

Mathematics
1 answer:
gogolik [260]3 years ago
6 0
You use the butterfly method:
360 24
___ ___
X 100

multiply 360 by 100 to get 36000
then divide by 24 to get 1500
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An animal shelter has 45 cats, 10 dogs and 5 rabbits. the shelter published the ratio of cats to dogs in its latest newsletter .
timurjin [86]
Ratio : cats:dogs 45:10
6 0
3 years ago
Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

p=28.726

Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

now, we can plug values

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
3 years ago
Read 2 more answers
for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep
Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000

1,404,000 different plates possible.

4 0
3 years ago
Two sections took the same vocabulary qui. Use the 5-number summary 20,30 35 45 80) to construct a boxplot for Section and use t
gulaghasi [49]

Answer:

C. There are the same number of scores in Section and Section

Step-by-step explanation:

The median of section I is greater than the median of section L. Median is the middle value or midpoint in the data set. In the given quiz the data set has different numbers for every section and therefore the values are not same. The data set has 75% of scores in section il which is higher than the section L.

7 0
3 years ago
Each egg carton holds one dozen eggs. Michael's chicken farm fills 121 egg cartons. He thinks that there were over 1500 eggs. Is
Kobotan [32]
121 x 12 = 1452 so over 1500 is not a correct estimate. Less than 1500 is the right estimate
3 0
3 years ago
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