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24 days ago

The two circles shown above have radii of 8 in. and 4 in. What is the Circumference of the both?

1 answer:

6 0

The Circumference of Circle 1 measures 50.24 inches, while Circle 2 measures 25.12 inches. For calculations, Circle 1 has a radius of 8 inches and Circle 2 a radius of 4 inches. To compute circumferences, we utilize the formula for calculating circumference involving the value of π. Substituting the respective radius values into the formula produces the computed circumferences.

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CALC 1: Spud's mom is going to make him a round birthday cake, and has asked for your help. Spud is a bit weird, and has already

Svet_ta [12734]

Answer:

15.7 inches

Step-by-step breakdown:

A slice of a round pie is a sector of a circle.

The perimeter of a slice equals the arc length s plus two times the radius r. P = s + 2r

s = rθ = r(16/360) = r/22.5. Therefore,

16 = (r/22.5) + 2r = (r + 45r)/22.5 = 46r/22.5

16 × 22.5 = 46r

360 = 46r

r = 7.826

D = 2r = 2 × 7.826 = 15.7 inches

Thus, the diameter of the cake should be 15.7 inches.

Verification:

$\begin{array}{rcl}P & = & s + 2r\\& = & \dfrac{r}{22.5} + 2r\\\\16 & = & \dfrac{7.826}{22.5} + 2 \times 7.826\\\\16 & = & 0.35 + 15.65\\16 & = & 16.00\\\end{array}$

It is accurate.

6 0

23 days ago

Stefan's family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init

lawyer [12517]

Answer: The hourly charge for the rototiller is $3.

Step-by-step explanation:

Let h denote the hourly rate for the rototiller rental.

The rental provider imposed a base fee of $43 in addition to a charge per hour. Assuming the rototiller was rented for x hours, the cost incurred would total

43 + hx.

If they paid $64 for 7 hours of rental, the equation representing this situation would be

43 + 7h = 64.

Resolving gives us 7h = 64 - 43 = 21.

Therefore, h = 21/7 = $3.

8 0

2 months ago

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Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in 10

Inessa [12570]

Response:

The CD will have a value of $2,729.09 after a duration of 10 years.Solution:

Initial investment (P) = $1500

Interest rate (r) = 6%

$$=\frac{6}{100}$

= 0.06

Time period (t) = 10 years

Compounded on a monthly basis

Number of compounding intervals per time period

n = 12

A = Total amount

Formula for compound interest:

$$A=P\left(1+\frac{r}{n}\right)^{n t}$

$$A=1500\left(1+\frac{0.06}{12}\right)^{12\times 10}$

$$A=1500\left(\frac{12+0.06}{12}\right)^{120}$

$$A=1500\left(\frac{12.06}{12}\right)^{120}$

$A=2729.09$

The CD will have a value of $2,729.09 after a span of 10 years.

4 0

14 days ago

During the summer, you work 40 hours per week at a coffee shop and eam $9.25 per hour. You also tutor for $10.00 per hour and ca

zzz [12365]

Response:

6 hours worked as a tutor

Detailed clarification:

40 x 9.25 = 370$

425 - 370 = 55

55/10 = 5.5

so 5.5 but since you work a full hour, round up to 6 hours worked as a tutor

6 0

12 days ago

Triangle MRN is created when an equilateral triangle is folded in half. Triangle N R M is shown. Angle N R M is a right angle. A

Inessa [12570]

Answer:

El valor de x es 4.

Explicación paso a paso:

Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.

Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).

La longitud del lado del triángulo es

NO = NS + SM = 6 + 2 = 8

Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que

RM = MO/2 = 8/2 = 4

El valor de x es 4.

7 0

1 month ago

Read 2 more answers