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3 years ago

Please help with this question

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Answer:

4cm^2

Step-by-step explanation:

First we need to find the length of the height of the triangle using Pythagoras:

a^2+b^2=c^2 (Substitute in what we have)

a^2+3√2(^2)=2√5(^2) = a^2 + 18 = 20 -> 20-18=2 √2=BD

Now we can find the area:

AD+DC= 3√2 + √2 = 4√2 x √2 = 8/2 = 4

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J. J. Redick is an excellent free throw shooter and makes 90% of his free throws (i.e., he has a 90% chance of making a single f

irakobra [83]

Answer:

59.049%

Step-by-step explanation:

J. J. Redick is an excellent free throw shooter and makes 90% of his free throws

P(making one free throw) =90%

Therefore:

$P($making 5 consecutive free throws)=P(making 1st) X P(making 2nd) X P(making 3rd)X P(making 4th) X P(making 5th)\\\\=90\%X90\%X90\%X90\%X90\%\\\\=0.9X0.9X0.9X0.9X0.9\\\\=0.59049\\\\=59.049\%$

7 0

3 years ago

What is the verbal expression for 1/8y

NARA [144]

The verbal expression for 1/8y could be 'the product of one-eighth and a number' or 'one-eighth of a number'.

8 0

3 years ago

Read 2 more answers

Evaluate the exact value: tan(pi/6)

Sedbober [7]

Pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

4 0

3 years ago

Read 2 more answers

You withdrew $36.25 from your checking account. Now your balance is -$14.75. Write and solve an equation to find the amount of m

iVinArrow [24]

Total was x
subtract 36.25 amount of money and you have -14.75 left

You can write this
x - 36.25 = -14.75
add 36.25 to both sides
x = -14.75 + 36.25
Solve by combining like terms
x = 21.5

You had $21.5 on your account before you withdrew $36.25 and had a balance of -$14.75 left.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Taco Bell has decided to keep their doors open all night. There are 25 employees that have volunteered for the night shift. a) I

DIA [1.3K]

Answer:

a) 1,081,575

b) 735,471

c) 1,075,140

d) 0.3159

Step-by-step explanation:

This is a combination of 25 elements taken 8 at a time

$\binom{25}{8}=\frac{25!}{8!(25-8)!}=\frac{25!}{8!17!}=1081575$

Supposing number 1 is the best, if we leave him/her out we will now have 24 employees, so now it is a combination of 24 elements taken 8 at a time

$\binom{24}{8}=\frac{24!}{8!(24-8)!}=\frac{24!}{8!16!}=735471$

Let's compute the complement of this set and then subtract.

That is to say, compute how many crews do not have any of the 10 best.

This would be a combination of 25-10 = 15 taken 8 at a time

$\binom{15}{8}=\frac{15!}{8!(15-8)!}=\frac{15!}{8!7!}=6435$

If we subtract this figure from the total of possible crews, we get 1,081,575 - 6,435 = 1,075,140 possible crews with at least one of the 10 best.

From the figure obtained in c) we subtract the figure obtained in b) 1,075,140 - 735,471 = 339,669 and this is the number of crews that do not have number 1, so the probability that in a crew with at least one of the 10 best number 1 is not there is

339,669/1,075,140 = 0.3159

5 0

3 years ago

Please help with this question ​

Please help with this question