Azul used a number cube with the numbers 1-6 in a simulation. He assigned 1-4 as the favorable outcome and 5-6 as the unfavorable outcome. What situation could this represent.

Answer:

40 m

Step-by-step explanation:

8/12=x/60

x=(8*60)/12

x=40

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,

[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]

[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]

Hence, the height of the building when it cast a shadow of 60 meters is 40 m.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

The principal is N16.94

Step-by-step explanation:

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (123 × 100)/(3 × 242)

Principal = 12300/726

Principal = 16.9421

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

The answer to question 1/3 (-10)(9) is -30.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

q = 2

Step-by-step explanation:

p α 1/q

p = k/q

Where, k = constant of proportionality

p = 14 ; q = 12

We can obtain the value of k

p = k/q

14 = k/12

k = 14 * 12

k = 168

p = 168/q

pq = 168

q = 168 / p

Value of q, when p = 84

q = 168 / 84

q = 2

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

Answer:

d = 28

r = 14

r² = 196

C = 87.92

Step-by-step explanation:

Given:

r = 14

To find diameter:

d = 2r

d = 2(14)

d = 28

To find r²:

14²

196

Circumference:

C = 2πr

C = 2(3.14)(14)

C = 87.92

Answer:

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

A. 113 cm3

B. 903 cm3

C. 25 cm3

D. 38 cm3

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

6

centimeters

...................................................................................................................................................

For this case we have that by definition, the volume of a sphere is given by:

Where:

r: It is the radius of the sphere

According to the data we have to:

Substituting we have:

The option that best fits is option B.

Answer:  v=113cm3

The option that best fits is option B.

...............................................................................................................................................

Answer:

V ≈ 904 cm³

Step-by-step explanation:

Let r denotes radius

r = 6cm (given)

As it a sphere of radius 6cm,

Volume of a sphere,

V = 4/3 π r³

V = 4/3 (3.14) (6)³

V = 4/3 (3.14) x 216

V = 4 (3.14) x 72

V = 12.56 x 72

V = 904.32 cm³

Rounding off,

V ≈ 904 cm³

...............................................................................................................................................

Answer:

113 cm

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

6 + 8 = 14 which is bigger than 9 so it is possible

If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible

Step-by-step explanation:

To Find :-

Solution :-

The line passes through (0,2) , therefore ,

> y intercept = 2 .

And slope ,

> m = -0.75

Using slope Intercept Form ,

> y = mx + c

> y = - 0.75 x + 3

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

Answer:

56 trucks and 24 cars

Step-by-step explanation:

Multiply each by 8 to continue the linear relationship.

Answer:

The answer is C. 56 trucks and 24 cars

Step-by-step explanation:

24/3 = 8

8 x 7 = 56

(っ◔◡◔)っ ♥ Hope It Helps ♥

Inches more: 19.1

Days more: 39

Step by step: 47.71 - 28.61 = 19.1

Step by step 2: 124 - 85 = 39

Answer:

asheville go 19.1 more inches of rain than wichita.

it rained 39 more days in asheville than Wichita.

Step-by-step explanation:

47.71 inches - 28.61 inches = 19.1 inches

124 days - 85 days = 39 days

Hope this helps❤

Answer:

86 cm

Step-by-step explanation:

1. convert 370 mm to cm ---> 37 cm

2. add : 25 cm+ 37 cm+ 24 cm = 86 cm

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Answer:

18 People bought hot dogs

Step-by-step explanation:

The question is not complete, but I’m assuming you need the number of people who bought hot dogs.

25 customers bought gas.

72% of them also bought a hot dog.

So thE number of customers who bought hot dogs are 72% of 25

=> 72/100 * 25

=> 0.72 * 25

= 18 people

Answer:

B

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

Answer: C (depends on what order it’s in)

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

Answer:

the answer to the question is 1

Answer:

x = 154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

x = 154°

Answer:

y-intercept:

(0,2) or just -3/5

Step-by-step explanation:

Answer:

3x + 5y = 2

Step-by-step explanation:

y = -3/5 x + 2

multiply both sides by 5

5y = -3x + 2

add 3x to both sides

3x + 5y = 2

note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

Answer:

degree for A is 29° and degree for Z is 0°

Answer:

6 Pi

Step-by-step explanation:

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.

Answer:

El valor total de la cuenta después de 5 años es de $3,598.

Step-by-step explanation:

Para encontrar la respuesta, tienes que utilizar la fórmula para encontrar el valor futuro:

VF=VP*(1+i)^n

VF=valor futuro

VP= valor presente=$3000

i=tasa de interés=0.037

n=número de periodos de tiempo=5 años

Ahora, puedes reemplazar los valores en la fórmula:

VF=3,000*(1+0.037)^5

VF=3,000*(1.037)^5

VF=3,598

De acuerdo a esto, la respuesta es que el valor total de la cuenta después de 5 años es de $3,598.