How I can round it please

Two spinners are spun. One has 5 sections labeled Red, Orange, Purple, Yellow, and Green. The other has three sections labeled 1

quester [9]

Answer:

$S = 15$ possible outcomes

Step-by-step explanation:

For any experiment, the sample space of this experiment is the set of all the possible results of the experiment.

In this case we have two spinners. The first has 5 colors, by spinning the spinner you can get up to 5 different results. Therefore the sample space is $S_1 = 5$

For the second spinner there are 3 possible results. By spinning the spinner you can get the numbers 1, 2 or 3. Then $S_2 = 3$ .

Then, if the two spinners are rotated, the sample space would be:

$S = 5*3$

$S = 15$ possible outcomes.

The tree diagram shown in the attached image shows the 15 possible results

{R, 1} {R, 2} {R, 3} {O, 1} {O, 2} {O, 3} {Y, 1} {Y, 2} {Y, 3} {P, 1} {P, 2} {P, 3} {G, 1}

{G, 2} {G, 3}

4 0

3 years ago

What is the area of the figure below?

Troyanec [42]

Answer:

The area of the figure is 7.5 m².

Step-by-step explanation:

Given the lengths of diagonals

2.5 m

6 m

The area of the given figure can be computed by multiply the lengths of the diagonals and then divide by 2.

so

Area = (2.5 × 6 ) ÷ 2

= 15 ÷ 2

= 7.5 m²

Therefore, the area of the figure is 7.5 m².

3 0

3 years ago

A circle has a sector with area 45/4 pi and central angle of 9/10 pi radians. What is the area of the circle?

Nikitich [7]

Answer:

the area of the circle: 25π

Step-by-step explanation:

45/4 π = 11.25π

9/10π = 0.9π

11.25π / 0.9π = x / 2π .... 360° = 2π

x = (11.25π x 2π) / 0.9π = 25π

6 0

3 years ago

Gerardo has just invested in a bond worth $470 that is expected to increase in value by 6% per year. Write the equation used to

Viefleur [7K]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $470

r = 6% = 6/100 = 0.06

n = 1 because it was compounded once in a year.

Therefore, the equation used to determine the value of his bond after t years is

A = 470(1 + 0.06/1)^1 × t

A = 470(1.06)^t

3 0

4 years ago

Help please? even if someone gave me the steps to figure the answer myself, that'd be great

swat32

Answer:

The height is 28.57 cm.

The surface area is 9,628 cm^2.

Step-by-step explanation:

I assume the cooler is shaped like a rectangular prism with length and width of the base given, and with an unknown height.

volume = length * width * height

First, we convert the volume from liters to cubic centimeters.

60 liters * 1000 mL/L * 1 cm^3/mL = 60,000 cm^3

Now we substitute every dimension we have in the formula and solve for height, h.

60,000 cm^3 = 60 cm * 35 cm * h

60,000 cm^3 = 2,100 cm^2 * h

h = (60,000 cm^3)/(2,100 cm^2)

h = 28.57 cm

The height is 28.57 cm.

Now we calculate the internal surface area.

total surface area = area of the bases + area of the 4 sides

SA = 2 * 60 cm * 35 cm + (60 cm + 35 cm + 60 cm + 35 cm) * 28.57 cm

SA = 9,628 cm^2

The surface area is 9,628 cm^2.

8 0

3 years ago