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3 years ago

Find the distance between the points given (0, -6) and (9,6)

Mathematics

2 answers:

MrRissso [65]3 years ago

7 0

The first one is less than the second one

Oduvanchick [21]3 years ago

3 0

Answer:

(9,12)

Step-by-step explanation:

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A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator

JulsSmile [24]

Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:

$\frac{37}{19}$ * $\frac{3}{1}$ = 37! $\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}$ = 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

$\frac{40}{20}$ = $\frac{40!}{20!(40-20!)}$ =137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

4 0

3 years ago

Aarion is saving $375 to buy a new gaming system. He already has $105 and can earn $30 per week cutting grass, how long will it

Andrej [43]

Answer:

it will take him <u>9 weeks </u>to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get <u>9</u>.

7 0

3 years ago

Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o

Brrunno [24]

Answer:

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

$Sin\ C = \frac{h}{a}$

Make h the subject:

$h = aSin\ C$

Also, in BOC (Using Pythagoras)

$a^2 = h^2 + x^2$

Make $x^2$ the subject

$x^2 = a^2 - h^2$

Substitute $aSin\ C$ for h

$x^2 = a^2 - h^2$ becomes

$x^2 = a^2 - (aSin\ C)^2$

$x^2 = a^2 - a^2Sin^2\ C$

Factorize

$x^2 = a^2 (1 - Sin^2\ C)$

In trigonometry:

$Cos^2C = 1-Sin^2C$

So, we have that:

$x^2 = a^2 Cos^2\ C$

Take square roots of both sides

$x= aCos\ C$

In triangle BOA, applying Pythagoras theorem, we have that:

$AB^2 = h^2 + (b-x)^2$

Open bracket

$AB^2 = h^2 + b^2-2bx+x^2$

Substitute $x= aCos\ C$ and $h = aSin\ C$ in $AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2$

Open Bracket

$AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C$

Reorder

$AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C$

Factorize:

$AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C$

In trigonometry:

$Sin^2C + Cos^2 = 1$

So, we have that:

$AB^2 = a^2 * 1 + b^2-2abCos\ C$

$AB^2 = a^2 + b^2-2abCos\ C$

Take square roots of both sides

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

6 0

3 years ago

Which of the following is equivalent to 25 7/2?

pickupchik [31]

Answer:

${25}^{ \frac{7}{2} } = \sqrt[2]{ {25}^{7} } = \sqrt{ {25}^{7} } \\$

4 0

3 years ago

Read 2 more answers

Can you help me please here is the image

erica [24]

Answer:

f=u+2

Step-by-step explanation:

math

7 0

2 years ago