What's the chance of NOT rolling a seven using a pair of dice.

A man standing on a lighthouse at a height of 124 feet sights two boats directly in front of him. One is at an angle of depressi

Ksivusya [100]

Answer:

$125\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ABC find the length side BC

we know that

$tan(62\°)=\frac{124}{BC}$

$BC=\frac{124}{tan(62\°)}$

step 2

In the right triangle ABD find the length side BD

we know that

$tan(33\°)=\frac{124}{BD}$

$BD=\frac{124}{tan(33\°)}$

step 3

we know that

The distance between the two boats is the length side CD

$CD=BD-BC$

substitute the values

$CD=\frac{124}{tan(33\°)}-\frac{124}{tan(62\°)}=125\ ft$

5 0

3 years ago

Choose the equation of the line that is parallel to the x-axis.

True [87]

Answer:

y = 4

Step-by-step explanation:

y = 4

The line will always go along y = 4 and therefore is parallel to the x axis

7 0

3 years ago

Read 2 more answers

Farmer Ed has 9,500 meters of fencing,

Andreas93 [3]

Because it is a rectangle, the area is expressed as A = xy, or length times width.

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get:

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get:

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for x

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equation

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distribute

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y

Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = - b/2a = -7500/[2(-2)] = 1875

/2a = -7500/[2(-2)] = 1875 

/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750

/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 

/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 A = 3750(1875) = 7,031,250 m2

/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 A = 3750(1875) = 7,031,250 m2 

5 0

2 years ago

Use an equation to model the relationship in the table .

natima [27]

Y = 162 - x would be the equation for the lower data set.

8 0

3 years ago

Arc length, radius, & central angles (deg. & rad.)

11111nata11111 [884]

Answer:

radius: 23 inches

Step-by-step explanation:

Formula: ∅r = arc length

Here the ∅ is 2 rads and arc length is 46 inches.

using the formula:

2*r = 46

r = 23 inches

7 0

2 years ago