A chess board is an 8 by 8 grid of squares. If you randomly choose 3 squares on the board, what is the probability that:

Solve the right triangle. Round decimal answers to the nearest tenth.

AnnZ [28]

Answer:

See solution below

Step-by-step explanation:

According to pythagoras theorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 + b^2

100 = 16 + b^2

b^2 = 100-16

b^2 = 84

b = √84

b ≈ 9

Using SOH CHA TOA identity

sin B = AC/AB

Sin B = 9/10

B = arcsin0.9

B ≈ 64degrees

sinA = BC/AB

Sin A = 4/10

A = arcsin0.4

A ≈ 24degrees

5 0

2 years ago

√448<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B488%7D%20" id="TexFormula1" title=" \sqrt{488} " alt=" \sqrt{488} " align

bazaltina [42]

The answer is 21.17 or 21.16601049.

8 0

3 years ago

Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2

defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations $3x+2y=27$ and $2x+y=16$ is $(5,6)$

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

$3x+2y=27$ -----> equation A

$2x+y=(27-11)$

$2x+y=16$ ----> equation B

Solve the system of equations

Multiply the equation B by $-2$

$-2(2x+y)=-2*16$ -----> $-4x-2y=-32$ ------> equation C

Adds equation A and equation C

$3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5$

Substitute the value of x in the equation B

$2(5)+y=16$

$10+y=16$

$y=6$

The solution of the system of equations is the point $(5,6)$

so

The price of each burger is $\$5$

The price of each sandwich is $\$6$

6 0

2 years ago

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If sin ZA = { and cos ZA = }, what is tan ZA?

Ainat [17]

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

the opposite side has a length of 3
the adjacent side has a length of 4
the hypotenuse side has a length of 5

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

5 0

3 years ago

The table below shows the distance d(t) in feet that an object travels in t seconds: t (seconds) d(t) (feet) 2 64 4 256 6 576 8

Thepotemich [5.8K]

Answer:

128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds

Step-by-step explanation:

The average rate of change is another way to say slope.

slope = (y2-y1)/(x2-x1)

= (576-64)/(6-2)

= (512/4)

=128 ft/s

This represents the change in ft per second, or the average speed the object is going during the time period.

5 0

2 years ago

Read 2 more answers