MATHEMATICS HIGH SCHOOL

How do I solve the ratio of somthin​

Answers

Answer 1
Answer: Add the ratio terms to get the whole. Use this as the denominator. 1 : 2 => 1 + 2 = 3.
Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction. 1 : 2 => 1/3, 2/3.
Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole.

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Liam is using the Fermi process to estimate the number of standard sheets of U.S. writing paper that would need to be stacked on top of one another to reach the top of washington monument . Mason knows that a standard sheet of writing paper is approximately 0.004 in. thick and the washington monument is 555 ft tall. how many sheets of paper are needed

Answers

The answer is 1.66×10⁶ sheets of paper.

Monument is tall 555 ft. If 1 ft is 12 inches, than monument is tall 555 ft × 12 inches which is 6,660 inches.
Writing paper is approximately 0.004 inches thick.
The question is how many sheets of paper are needed for 6,660 inches tall monument:
6,660 ÷ 0.004 = 1,665,000 = 1.66 × 1,000,000 = 1.66 × 10⁶ sheets of paper.

Which angle measure less than or equal to 360° is equivalent to an angle of 17π over 4

Answers

Hello,

17/4π rad = (4π+π/4  )rad

17/4 π mod 2π = π/4 (rad) or 45°

M(5, 7) is the midpoint of RS. The coordinates of S are (6, 9). What are the coordinates of R?

Answers

Answer:

The coordinates of R are(x_1,y_1)=(4,5)

Step-by-step explanation:

Given : M(5, 7) is the midpoint of RS. The coordinates of S are (6, 9).

To find : What are the coordinates of R?

Solution :

We have given,

A line RS which has a mid point M.

Let, the coordinates of R be (x_1,y_1)

The coordinates of S are (x_2,y_2)=(6, 9)

The coordinates of M are  (x_3,y_3)=(5,7)

Applying mid-point formula,

(x_3,y_3)=((x_1+x_2)/(2),(y_1+y_2)/(2))

(5,7)=((x_1+6)/(2),(y_1+9)/(2))

Solve separately,

x- coordinate is

(x_1+6)/(2)=5

x_1+6=10

x_1=4

y- coordinate is

(y_1+9)/(2)=7

y_1+9=14

y_1=5

So, The coordinates of R are(x_1,y_1)=(4,5)
Coordinate R is at (4,5)

Given that cos 63°≈ 0.454, enter the sine of a complementary angle.
sin

Answers

Answer:

\cos(63^\circ) is the same as \sin(27^\circ) by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

  • sin (90° – x) = cos x
  • cos (90° – x) = sin x

This means that \cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454.

A parking garage charges $2 for the hour and $1 each additional hour. Fran has $9.90 to spend for parking. What is the greatest number of hours Fran can park

Answers

Answer:

Frank can park 8.9 hours at the highest

Step-by-step explanation:

Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.

From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.

Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x

By adding this to the initial $2, we have the total $9.90

So, mathematically;

2 + x = 9.90

x = 9.9 -2

x = 7.9 hours

Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours

A machine can produce 250 items per hour. If the operator of the machine works 40 hours per week, how many items are made by this machine in one year?

Answers

52 weeks per year

250 times number of hours=number of items produced

number of hours=number of hours worked per week times number of weeks
number of hourse=40 times 52=2080 hours

250 times 2080=520000 items
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