Find the area of triangle ABC.

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches

The length of each side of the base is 3 inches. Thus, the correct option is D.

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches.

The length of each side of the base is calculated as,

75 = 5 x 1/2 x a x 10

75 = 25a

a = 3 inches

Thus, the correct option is D.

More about the pyramid link is given below.

https://brainly.com/question/17615619

#SPJ2

Answer:

49

Step-by-step explanation:

Answer:

Sorry. What's the question?

Answer:

12:6, 9:45

Step-by-step explanation:

Ratios I think you are asking

Answer:

Total surface area of Die = 216 inch²

Step-by-step explanation:

Given:

Length of one side of die = 6 inches

Find:

Total surface area of Die

Computation:

Total surface area of Die = Total surface area of cube

Total surface area of cube = 6(side)²

Total surface area of Die = 6(Length of one side of die)²

Total surface area of Die = 6(6)²

Total surface area of Die = 6(36)

Total surface area of Die = 216 inch²

Step-by-step explanation:

we have

5x+4=2x+9

5x-2x=9+4

3x=13

x=13/3

Answer:

x = 13/3

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ 2x + 9 = 5x - 4

Then the value of x will be,

→ 2x + 9 = 5x - 4

→ 2x - 5x = -4 - 9

→ -3x = -13

→ x = (-13)/(-3)

→ [ x = 13/3 ]

Hence, the value of x is 13/3.

Answer:

D.30,40,50

Step-by-step explanation:

A.4,5,6

B.2,3,4

C.10,20,30

D.30,40,50

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

4² + 5² = 25 is not equal to the square of 6 which is 36

2² + 3² = 10 . 10  is not equal to the square of 4 which is 16

10² + 20³ = 500. 500  is not equal to the square of 30 which is 900

30² + 40² = 2500. this is equal to the square of 50

Answer:

the answer is 880 yards more

Step-by-step explanation:

1 mile is equal to 5280 feet or 1760 yards.

then subtract your two numbers that have the same unit (yards)

1760 yards - 880 yards = 880 yards

Answer:

r = 4units

Step-by-step explanation:

The standard foem of equation of a line is expressed as;

(x-a)² + (y-b)² = r²

r is the radius

Compare with the given equation (x - 2)^2 + (y + 1)^2 = 16

r² = 16

r = √16

r = 4

Hence the radius of the circle is 4

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer:

10 + 30x

Step-by-step explanation:

Answer:

-10 - 30x

Step-by-step explanation:

-10 (1 + 3x)

(-10 · 1) + (-10 · 3x)

-10 + -30x

-10 - 30x

Answer: (b)

Step-by-step explanation:

Given

[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]

[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]

[tex]\left | p+q\right |=2x+4[/tex]

for two complex number, [tex]z_1,z_2[/tex]

[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]

Apply the above the property

[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]

Also, the absolute value of each complex number must be greater than or equal to zero

[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]

Taking the intersection of the above values of x, we get

[tex]x\in [-2,-\dfrac{4}{3}][/tex]  

Answer:

<2= 65°

<3= 65°

<4= 115°

<5= 115°

<6= 65°

<7=65°

<8=115°

Now Mark me Brainiest

Answer:

No

Step-by-step explanation:

7 3/4 x 3 = 22 1/2

Answer:

$420,000 would be your answer

Step-by-step explanation:

Question:

A boat is travelling at 30 mph has  a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.

a) Draw a labelled diagram of the situation

b) Determine the angle of elevation of the parasail rider

c) Parasailing boats traveling at the same speed will have the same angle of elevation

Answer:

a) Please find the attached drawing of the parasail boat created with MS Visio

b) The angle of elevation of the parasail rider from the boat is approximately 48.6°

Step-by-step explanation:

a) Please find the labelled diagram of the parasailing boat created with MS Visio

b) sing trigonometric ratios, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

The opposite leg = The height of the parasail rider above water = 300 ft.

The hypotenuse = the length of the tow line = 400 ft.

θ = The angle of elevation of the parasail rider

[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]

θ = Arctan(0.75) ≈ 48.6°

The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°

c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,

Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same

Answer:

Diameter = 9

Step-by-step explanation:

Let the diameter be represented as x.

Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

(16 + x)(16) = 20²

256 + 16x = 400

Subtract 256 from each side

16x = 400 - 256

16x = 144

Divide both sides by 16

x = 144/16

x = 9

Diameter = 9

Answer:

Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle

Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)

LA = 15m² + 216m² + 108m²

LA = 339 m²

SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)

SA = 15m² + 216m² + 108m² + 180 m²

SA = 519 m²

Step-by-step explanation:

using this

t_n = a+ (n-1)d

Answer:

As a fraction 1/1000 and as a decimal 0.001

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  [tex]\frac{3}{15}[/tex] (or  [tex]\frac{1}{5}[/tex], simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer:

3y = 2x+6

Drawing: