What is 13/143 as a unit fraction?

The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degree

faltersainse [42]

Answer and Step-by-step explanation:

| \

| \

100 ft. | \

| 2 \

|_________\

x

Use tangent to find the x.

tan(2) = $\frac{100}{x}$

$x = \frac{100}{tan(2)}$

Use a calculator to evaluate.

$x = \frac{100}{tan(2)}$ = 2863.6253

So, the boat is 2,863.63 feet from the shore.

#teamtrees #WAP (Water And Plant)

6 0

2 years ago

6x^2-4xy-15xy+10y^2 factor by grouping

PtichkaEL [24]

4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)

Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)

8 0

2 years ago

Remarkably Fast Shipping charges $14 plus $1.50 per pound for shipping a package overnight.

BigorU [14]

Oh yeah I have to do that and I’m gonna be

7 0

2 years ago

Pls help brainlist pls help

Len [333]

Answer:

1. V = 157in³, so the volume of the sugar container is 157in³

2. h = 12in, so the height of the rice container is 12in

3. The rice container's height is 12in and the height of the sugar container is 8in, which means the rice container is taller by 4in. The rice container's volume is 235.5in and the sugar container's volume is 157in, so the rice container's volume is greater than the volume of the sugar container's volume by 78.5in.

4. V = 50.24in³, so the volume of the flour container is 50.24in³

5. The rice container's volume is 235.5in, the sugar container's volume is 157in, and the flour container's volume is 50.24in. This means the container that contains the greatest volume is the rice container and the container that contains the smallest volume is the flour container.

Step-by-step explanation:

1. to find the volume of a cylinder, we use the formula:

V = πr²h

V = 3.14(2.5² × 8)

V = 3.14(6.25 × 8)

V = 3.14(50)

V = 157in³

2. To find the height of a cylinder when given the volume and radius, you use the formula:

h = V / πr²

h = 235.5/3.14(2.5²)

h = 235.5/3.14(6.25)

h = 235.5/19.625

h = 12in

h = height

3. The rice container's height is 12in and the height of the sugar container is 8in, which means the rice container is taller by 4in. The rice container's volume is 235.5in and the sugar container's volume is 157in, so the rice container's volume is greater than the volume of the sugar container's volume by 78.5in.

4.

V = bh

V = 12.56 × 4

V = 50.24in³

5. The rice container's volume is 235.5in, the sugar container's volume is 157in, and the flour container's volume is 50.24in. This means the container that contains the greatest volume is the rice container and the container that contains the smallest volume is the flour container.

5 0

1 year ago

Find the angle with the smallest measure in △ VUW. Name the angle using three letters

Nimfa-mama [501]

Answer:

∠VUW

Step-by-step explanation:

A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.

In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.

The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.

Hence the smallest angle = ∠VUW

4 0

2 years ago