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3 years ago

Find the length of the third side. If necessary, write in simplest radical form. (15 POINTS!!)

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

Step-by-step explanation:

perpendicular (p) = 4

hypotenuse (h) = 2√5

base (b) = ?

We know by using Pythagoras theorem

b = √(h² - p²)

= √ (2√5)² - 4²

= √ 16

= 4

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What is the square root of 8

sattari [20]

Answer:

Approximately 2.83

Step-by-step explanation:

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3 years ago

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The ratio of 6th graders to 7th graders in a MATHCOUNTS club is 5:4. The ratio of 8th graders to 7th graders in the same club is

lorasvet [3.4K]

ANSWER
========

Ratio of 8th graders to 7th graders = 3 : 2

Let the number of graders be 3x and 2x

Number of 8th graders = 18

So , 3x = 18

x = 18/3 = 6

Number of 7th graders = 2 × 6 = 12

Ratio of 6th graders to 7th graders = 5 : 4

Let the number of graders be 5a and 4a

Number of 7th graders = 12

So , 4a = 12

a = 12/4 = 3

Number of 6th graders = 5×3 = 15 ANS

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3 years ago

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Question 10

EleoNora [17]

Answer:

a.(-b) ( third choice)

explanation:

-a+b - there is no plus sign for -a.b.

not -a+b

(-a)(-6)=6a (-negative sign and -negative sign=+positive sign)

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3 years ago

4.) A bag contains 10 red marbles and 5 blue marbles. You randomly select 3 marbles from the bag. What is

sesenic [268]

Answer:

a) 1/27

b) 2/91

Step-by-step explanation:

A bag contains 10 red marbles and 5 blue marbles (15 marbles in total). You randomly select 3 marbles from the bag.

a) You replace each marble before selecting the next one.

The probability of selecting one blue marble is

$\dfrac{5}{15}=\dfrac{1}{3},$

then the probability that all 3 marbles are blue is

$\dfrac{1}{3}\times \dfrac{1}{3}\times \dfrac{1}{3}=\dfrac{1}{27}$

b) You do not replace each marble before selecting the next one. Each time the number of blue marbles decreases by 1 and the total number of marbles decreases by 1 too. So the probability that all 3 marbles are blue is

$\dfrac{5}{15}\times \dfrac{4}{14}\times \dfrac{3}{13}=\dfrac{2}{91}$

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3 years ago

Homework counts as 10%, quizzes as 20% and tests as 70%. If the homework grade is 92, quiz grade is 68 and test grade 81 what’s

Tresset [83]

Answer:

$Final\ grade=79.5$

Step-by-step explanation:

$Homework\ grade=92\\\\quiz\ grade=68\\\\Test\ grade=81\\\\Final\ Grade=10\%\ of\ homework\ grade+20\%\ of\ quizzes\ grade+70\%\ of\ test\ grade\\\\Final\ Grade=\frac{10}{100}\times 92+\frac{20}{100}\times 68+\frac{70}{100}\times 81\\\\Final\ grade=0.1\times 92+0.2\times 68+0.7\times 81\\\\Final\ grade=9.2+13.6+56.7\\\\Final\ grade=79.5$

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3 years ago