Mathematics : asked on maddyclark19

10.08.2022

Morgan has completed the mathematical statements shown below. Which statements are true regarding these formulas? Select three options.
A = pi times r squared and C = 2 times pi times r. A = pi times r times r and C = pi times r times 2. A = (pi times r) times r and C = (pi times ) times 2.
The numerical values of the area and circumference are equal when r = 2.
The numerical value of the area is less than the numerical value of the circumference when r less-than 2.
The numerical value of the area is greater than the numerical value of the circumference when r less-than 2.
The numerical value of the area is less than the numerical value of the circumference when r greater-than 2.
The numerical value of the area is greater than the numerical value of the circumference when r greater-than 2.

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Mathematics

1. Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2 feet wide. What is the total area of the garden and path? (Use 3.14 for Pi and round to the nearest tenth.) Answer - C. 113.0 2. Elspeth knows that Pi times r almost-equals 9.42 centimeters. What would she need to do to find the circumference? Answer - A. She could multiply 9.42 by 2. 3. The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for Pi and round to the nearest tenth.) Answer -

Step-by-step answer

P Answered by PhD

1. 113.0.

2. She could multiply 9.42 by 2.

3. 3.14*(5)^2=3.14*25=78.5 m^2

4. 144 - 36π
144 - 36(3.14)
30.90266447
31 (rounded to the nearest whole number).

5. π × 4² = 16π = 50.3 in².

6. Divide the diameter by 2.

7. The height of the sector is "r".

8. The numerical values of the area and circumference are equal when r=2;
The numerical value of the area is less than the numerical value of the circumference when r<2;
The numerical value of the area is greater than the numerical value of the circumference when r>2.

9. formula for area of a circle: πr² [r=radius]
Plug in r: π(1)²
Add units
π².

10. She could divide 9.42 by Pi to find the radius, then multiply 9.42 by the radius.

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

Use the X method to find the solutions of6x2 + 2x – 20 = 0.

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

If a european swallow flies 15 meters every 1 second how many would kilometers would it fly in 15 minutes

Step-by-step answer

P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

Juan’s purchase before sales tax was added totaled $46.00. The total including tax was $48.76. What was the sales tax rate?

Step-by-step answer

P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

=276/46

=6%

There fore sales tax rate=6%

Mathematics

Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options. 2 4xy 12x 24 44y

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

A single 6-sided die is rolled. Which BEST describes the probability of rolling a number 4 or less?

Step-by-step answer

P Answered by PhD

There are 6 outcomes 1,2,3,4,5,6

Total outcomes = 6

Outcomes when rolling a number is 4 or less = 1,2,3,4

Total outcome when rolling a number is 4 or less=4

Probability = required outcome/total outcome

=4/6

=2/3

Therefore probability = 2/3

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