The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?

The diagonal of a square measured 10 cm. Find the length of a side of the square to the nearest tenth.

Naddika [18.5K]

Answer:

7.1 cm

Step-by-step explanation:

Let s represent the side length of the square. The Pythagorean theorem tells you the relationship to the diagonal length is ...

(10 cm)² = s² +s² . . . . the sum of the squares of the legs is the square of the hypotenuse

100 cm² = 2s² . . . . . . simplify

50 cm² = s² . . . . . . . . divide by 2

√(50) cm = s ≈ 7.1 cm . . . . . take the square root

The length of a side of the square to the nearest tenth is 7.1 cm.

6 0

2 years ago

If a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month, wha

Rina8888 [55]

Answer:

A. $7.17

Step-by-step explanation:

We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nT}$ where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Periods of compounding,

T = Time in years.

Let us multiply our given rate by 12 to get APR and convert it in decimal form.

$APR=12\times 1.5\%$

$APR=18\%$

$18\%=\frac{18}{100}=0.18$

Since 1 year equals 12 months, so 1 month will be 1/12 year.

Upon substituting our given values in above formula we will get,

$A=477.95(1+\frac{0.18}{12})^{12\times\frac{1}{12}}$

$A=477.95(1+0.015)^{1}$

$A=477.95(1.015)$

$A=485.11925$

Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.

$\text{The monthly interest charge be at the end of the first month}=485.11925-477.95$

$\text{The monthly interest charge be at the end of the first month}=7.16925\approx 7.17$

Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.

4 0

2 years ago

Explanation also plz

ozzi

Answer:

????

Step-by-step explanation:

where is the info like the graph

7 0

2 years ago

Find the area of a regular octagon with side lengths of 17.2 m and an apothem length of 20.8 m.

jek_recluse [69]

Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

5 0

2 years ago

I need help ASAP you must drag each of those tiles and match them up to the photos

iren2701 [21]

Answer:

Step-by-step explanation:

how we supposed to do it , when we cant control it

3 0

2 years ago