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3 years ago

Find the third side in simplest radical form:

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

Answer:

a^2 + b^2 = c^2 (pythagorean theorem)

a^2 + 40^2 = 41^2 (plug in the known values)

a^2 + 1,600 = 1681 (simplify what you can)

a^2 = 81 (subtracted 1600 from both sides)

a= (81 under a radical) (I think this is what your answer will be, based on the problem)

a=9 (what the fully simplified answer is)

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Which number completes the inequality? Two-thirds less-than blank less-than StartFraction 7 over 9 EndFraction Three-fifths Star

svp [43]

Answer:

Step-by-step explanation:

6 0

4 years ago

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A carpenter is creating a circular wooden table with a radius of 4 feet and needs to know the area of the table to purchase the

JulijaS [17]

Answer: The area of the circular wooden table = 50.24 ft²

Step-by-step explanation:

Given: The radius of the circular table = 4 feet

We know that area of a circle is given by :-

$\text{Area}=\pi r^2$

Therefore, the area of circular wooden table is given by :-

$\text{Area}=3.14(4)^2\\\Rightarrow\ 3.14\times16\\\Rightarrow\text{Area=}50.24\ ft^2$

The area of the circular wooden table = 50.24 ft²

3 0

3 years ago

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Sherelle and Venita find two bags of coins in their grandmother’s attic. Each girl selects a bag, takes a random sample of 20 co

S_A_V [24]

Answer:

Step-by-step explanation:

Hello!

The five-number summary comprehends the minimum and maximum values, the 1st and 3rd quartiles and the median.

1st step: is to arrange the data sets from least to greatest.

Sherelle:

26 39 56 58 60 62 65 66 66 68 71 72 72 73 74 75 81 83 84 85

Venita:

44 45 51 51 53 53 55 57 58 62 65 66 69 69 70 73 75 77 78 79

2nd step: To calculate each quartile you have to determine their position and then identify which observation sits in that position:

Quartile 1:

PosQ₁: n/4= 20/4= 5

Quartile 2 (Median)

PosMe: n/2= 20/2= 10

Quartile 3

PosQ₃: n*(3/4)= 20*(3/4)= 15

Since both samples have the same size, the 1st quartile will be the fifth observation of each sample, the median will be the tenth observation and the 3rd quartile will be the fifteenth.

Sherelle:

Q₁: 60

Me: 68

Q₃: 74

Minimum: 26

Maximum: 85

Venita:

Q₁: 53

Me: 62

Q₃: 70

Minimum: 44

Maximum: 79

I hope this helps!

3 0

4 years ago

2(m + 9) = 24 find m

yan [13]

2m+18=24

or,m=6/2

therefore,m=3

6 0

4 years ago

8. Albert's father is 24 years older than Albert is. In 8 years, his father will be twice as old as Albert. How old is Albert no

Hunter-Best [27]

Albert´s ftather age=x
Albert age=y

We suggest this system of equations:
y=x-24
x+8=2(y+8)

we solve this system of equation by substitution method.

x+8=2[(x-24)+8]
x+8=2(x-16)
x+8=2x-32
x-2x=-32-8
-x=-40
x=40

y=x-24
y=40-24
y=16

Answer: Albert´s father is 40 years old, and Albert is 16 years old.

4 0

3 years ago