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3 years ago

Given the following triangle, find side BC if side AC is equal to 6.

Mathematics

1 answer:

exis [7]3 years ago

6 0

The ratio between AC and BC is 2a:a $\sqrt{3}$ . So in this case a=3, and BC=5.2

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A child building a tower with Blocks uses 15 for the bottom row. Each row has 2 fewer blocks than the previous row. What formula

xenn [34]

Answer:

B)blocks in 5th row=15+(5-1)(-2)

Step-by-step explanation:

We are given that

Number of block in bottom row=15

Each row has 2 fewer blocks than the previous row

We have to find the formula would you use to find the number of blocks in the 5th row.

Number of blocks in second row=15-2= $15+1(-2)$

Number of blocks in third row=15-2-2= $15+2(-2)$

Number of blocks in 4th row= $15-2-2-2=15+3(-2)$

Number of blocks in 5th row= $15-2-2-2-2=15+4(-2)$

Therefore, number of block in 5th row

$15+(5-1)(-2)$

This is required formula to find the number of blocks in the 5th row

Hence, option B is true.

B)blocks in 5th row=15+(5-1)(-2)

4 0

2 years ago

What is the measurement of arc BE?

aniked [119]

The answer is 134 degrees

4 0

3 years ago

Dylan scores a total of 48 points in his first games of the basketball season. Which equation can be used to find g, the average

Anarel [89]

Answer: 48÷4 = g

Step-by-step explanation:

Here is the complete question:

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

a. 48÷4=g

b. 4÷48=g

c. g÷4=g

d. 4÷g=48

The average number of points Dylan scores per game which has been represented by g will be the total points scored divided by the number of game played. This will be:

g = total point scored ÷ number of games played

g = 48 ÷ 4

Therefore, option A is the right answer.

5 0

3 years ago

Read 2 more answers

A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo

Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) $10X+5X+5X=300 => 20X = 300 => X = 15$ days for the lessons

b) $5X+10X+8X = 300 => 23X = 300 => X = 13.04$ days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) $10X+5X=300 => 15X = 300 => X = 20$ days for the lessons

b) $5X+10X = 300 => 15X = 300 => X = 20$ days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) $10(10/24)+5X+5X= 300 => X = 29.58$ days for the lessons

b) $5(10/24)+10X+8X = 300 => X = 16.51$ days for the tests

so at the end to complete both tasks they need 29.58 days

4 0

3 years ago

What is the greatest common factor of 9 21 60?

nordsb [41]

The greatest common factor (GCF) of 9, 21 and 60 is: 3

Factors of 9: 1, 3, 9
Factors of 21: 1, 3, 7
Factors of 60: 1, 2, 3, 4, 5, 6

The common factors between the three numbers are 1 and 3, but since 3 is the highest number, it is considered the GCF.

8 0

3 years ago