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3 years ago

A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.

Mathematics

1 answer:

nignag [31]3 years ago

5 0

Answer:

6/8 = 3/4

Step-by-step explanation:

There are 2 vowels and 6 consonants in the set

Probability is 6 chances / 8 possible of picking an non vowel

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Select all of the following that are a direct variation.

seropon [69]

Only these are direct variations:

<span>Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.

Because, for each of them, the total value will be always the product of the number of items times a constant (the unit price).

</span>

6 0

4 years ago

9. Suppose you take out a car loan for $9999 for 4 years at a 7.5% interest rate. What is your

Alekssandra [29.7K]

Answer:

The monthly payment is $241.76.

Step-by-step explanation:

Given : Suppose you take out a car loan for $9999 for 4 years at a 7.5% interest rate.

To find : What is your monthly payment ?

Solution :

The formula to find monthly payment is

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor is $D=\frac{1-(1+i)^{-n}}{i}$

Substitute in the formula,

$M=\frac{A}{\frac{1-(1+i)^{-n}}{i}}$

$M=\frac{A\times i}{1-(1+i)^{-n}}$

where, A is the amount A=$9999

r is the rate =7.5%=0.075

$i=\frac{r}{12}=\frac{0.075}{12}=0.00625$

time t=4 years

Time in months $n=t\times 12=4\times 12=48$

Substitute all the values in the formula,

$M=\frac{9999\times 0.00625}{1-(1+0.00625)^{-48}}$

$M=\frac{62.49375}{1-(1.00625)^{-48}}$

$M=\frac{62.49375}{1-0.7415101}$

$M=\frac{62.49375}{0.25848}$

$M=241.76$

Therefore, the monthly payment is $241.76.

3 0

3 years ago

Pythagoras theorem <br> Please answer will mark BRAINELIST :)

Mumz [18]

Answer:

Step-by-step explanation:

Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.

For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.

Length of the square is 5cm.

Recall Pythagoras theorem: it states that

the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides

= +

= 25 + 25

= 50

Take the square root of both sides , that is

D =

D = X , since 50 = 25 x 2

D = 5

D ≈ 7.07

6 0

3 years ago

Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I.The angles that share the same cosine val

Oksana_A [137]

Solution:

As we know reference angle is smallest angle between terminal side and X axis.

As cosine 45 ° is always positive in first and fourth quadrant.

i.e CosФ, Cos (-Ф) or Cos(2π - Ф) have same value.

As, Cos 45°, Cos (-45°) or Cos ( 360° - 45°)= Cos 315°are same.

So, Angles that share the same Cosine value as Cos 45° have same terminal sides will be in Quadrant IV having value Either Cos (-45°) or Cos (315°).

Also, Cos 45° = Sin 45° or Sin 135° i.e terminal side in first Quadrant or second Quadrant.

6 0

3 years ago

Read 2 more answers

What is the equation for the line that passes through the point (3,7) and has a slope of 2?

Svet_ta [14]

Answer:

y=3/7x+2

Step-by-step explanation:

can i have brainliest?

6 0

3 years ago