All categories

3 years ago

The dog has gone 5/8 of the way across the yard. How much farther does it have to go to reach the gate?

1 answer:

7 0

Well if one assumes that the dog is starting at one side opposite the gate and is heading directly for it, then it has 3/8 of the yard to go. However since one cannot know where the dog has started his movement toward the gate then the answer would not be solvable without more information.

You might be interested in

a certain volcano has an elevation of 14,268 feet. a nerby oceanic trench has an elevation of 21,873 feet below sea level. find

EleoNora [17]

Answer:

8egg 8 g8vg8vg9g 9 g9g o h9 go g9gv9gv9 has to go on a small scale

3 0

3 years ago

Melanie's room measures 10 ft by 12 ft. Her rug covers 90 ft². Explain how to determine the percent of floor covered by the rug.

Inessa [10]

$\huge \bf༆ Answer ༄$

Here's the solution ~

Area of floor is ;

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:10 \times 12$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:120 \: ft {}^{2}$

Area covered by rug is ;

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:90 \: ft {}^{2}$

So, the percentage of floor covered by rug is ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{90}{120} \times 100$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{3}{4} \times 100$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:3 \times 25$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:75 \%$

5 0

2 years ago

Read 2 more answers

Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of

Arturiano [62]

Answer:

$y = \frac{1}{8} x - 2 \frac{1}{4}$

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

$- 2 = \frac{1}{4} + c$

$c = - 2 - \frac{1}{4}$

$c = - 2 \frac{1}{4}$

Thus, the equation of line q is $y = \frac{1}{8} x - 2 \frac{1}{4}$ .

4 0

2 years ago

Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an an

kati45 [8]

Answer: option A. 30 °.

Explanation:

1) Draw this triangle: Eyes - Ship A - height of the cliff:

The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.

2) opossite leg = horizontal distance to the ship A = x

3) adjacent leg = height of the cliff = 1500 feet

4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3

5) Draw the triangle of the eyes - ship B - hieght of the cliff

6) The unknown is the depression angle of the eyes with ship B, α

7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet

8) adjacent leg = height of the cliff = 1500 feet

9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3

10) α = arctan(√3) = 60°

11) Depression angle = 90° - 60° = 30° Which is the answer

5 0

2 years ago

Read 2 more answers

Solve the proportion to determine the value of x4x/15=60/x

frozen [14]

4x/15 = 60/x
4x^2 = 900
x^2 = 225
x = 15

4 0

3 years ago