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3 years ago

15

Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G

K is 27.Given right triangle GYK, what is the value of tan(G)?

1 answer:

Karo-lina-s [1.5K]3 years ago

3 0

Answer:

Sqrt 3

Step-by-step explanation:

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Consider the two functions. Which statement is true?

Nitella [24]

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

where a is the slope and b is the y-intercept.

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

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

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

8 0

3 years ago

Read 2 more answers

Finding the product

pshichka [43]

Use a box. Split the terms into the boxes and then multiply across. Sort of like area multiplication, only with terms.

3 5x
4y 12y 20xy

3 9 15x

6 0

3 years ago

Solve 1/2x + 3 > 2(x-5/2)

Likurg_2 [28]

Answer:

1/4x (8 x - 15)

Step-by-step explanation:

write the division as a fraction

1/2x + 3/2x (x - 5 ÷ 2)

factor out 1/2 from the expression.

1/2x(x + 3(x - 5 ÷ 2))

divide the numbers.

1/2x(x + 3(x - 2.5))

distribute 3 through the parentheses.

1/2x(x + 3x - 7.5)

collect like terms.

1/2x(4x - 7.5)

1/2x(4x - 15/2)

factor out 1/2 from the expression.

1/2 x 1/2 x (8 x - 15)

multiply the fractions

= 1/4 x (8x - 15)

or alternative form

= 0.25(8x - 15)

6 0

3 years ago

Point A of rectangle ABCD is located at coordinates (3,7). If rectangle ABCD is translated down 7 and left 5, what are the new c

uranmaximum [27]

Answer:

The new co-ordinates are A¹ ( -2 , 0)

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Point A of rectangle ABCD is located at coordinates (3,7).

<u><em>Type of transformation </em></u><em> </em><u><em> change of co-ordinate point</em></u>

<em>Vertical translation up 'd' units (x, y)→ (x, y +d)</em>

<em>Vertical translation down 'd' units (x, y)→ (x, y -d)</em>

<em>Horizontal translation left 'C' units (x, y)→ (x - c , y) </em>

<em>Horizontal translation right 'C' units (x, y)→ (x + c , y) </em>

<u><em>Step(ii</em></u><em>):-</em>

<em>Given rectangle ABCD is translated down 7 and left 5</em>

<em>Given Point A(3 ,7) </em>

Vertical translation down '7' units t

The new co-ordinate A¹ ( 3 , 7-7)→ A¹( 3, 0) and Horizontal translation left ''5' units

Now the new co-ordinates are A¹ ( 3-5 , 7-7)

<u><em>Final answer:-</em></u>

The new co-ordinates are A¹ ( -2 , 0)

7 0

3 years ago

two cards are selected from a standard deck of 52 playing cards. the first card is not replaced before the second card is select

MatroZZZ [7]

Answer:

4/663

Step-by-step explanation:

(4/52)×(4/51)

= 4/663

= 0.00603

7 0

2 years ago