All categories

3 years ago

Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place

Mathematics

1 answer:

Luda [366]3 years ago

6 0

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

You might be interested in

Iodine-125 has a half-life of about 60 days.

Murljashka [212]

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T = 60 days

The formula for calculating the quantity after n half lives is given by:

$N = N_0(\frac{1}{2})^n$

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

$n = \frac{240}{60}\\n = 4$

Given

$N_0 = 1000\ mg$

Putting the values in the formula

$N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg$

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

#LearnwithBrainly

3 0

3 years ago

Eduardo has $24 saved. if he saves $8 each week, how much will he have in 5 weeks?

MAVERICK [17]

Answer:

$40

Step-by-step explanation:

$8 x 5 = $40

6 0

3 years ago

a sports tournament has 8 teams. each team has n players. using n, write an expression for the total numbers of players in the t

erastova [34]

Answer:

8n.

Step-by-step explanation:

You would be multiplying the amount of teams by the number of members to find the total members, hence 8 times n.

5 0

3 years ago

A circular pool is 32 foot across.What is the area of the pool rounded to the nearest hundredth of a foot?___square feet.

liberstina [14]

Answer:

correct answer is 95

clear explanation is 86

7 0

2 years ago

Simplify the expression.<br><br> 10h + 6 − 5h + 3

inn [45]

Answer:

Combine like terms. The like terms in this equation are the h’s and the real numbers. Add or subtract both of the same terms and that is the simplified answer.

10h-5h+6+3

5h+9

6 0

3 years ago

Read 2 more answers