A spherical balloon has a circumference of 21 cm. What is the approximate surface area of the balloon to the nearest square inch?

Answers

Answer 1

Answer:

Answer:140 cm^2

Step-by-step explanation:

The answer is D. 140 cm². I think the circumference of the balloon means the circumference of the biggest circle. So the 21=2πr². While the surface area of a sphere is S=4πr². So the S≈140 cm².

216m²

Given that the sides of a triangle are in the ratio of 6:8:10 and their perimeter is equal to 720cm.

To find the area, we would use heron's formula which says area = √[s(s-a)(s-b)(s-c)] ,where a,b,c are the respective sides of the triangle and s = perimeter/2 but before that,we would need to find out the sides , for that , let's say the sides are equal to 6x ,8x & 10 x.

Then,

ATQ,

6x + 8x +10x = 720cm

24x = 720cm

x = 720cm/24

x = 30cm

therefore,

6x = 6*30cm = 180cm

8x = 8*30cm = 240cm

10x = 10*30cm = 300cm

and

s = 720cm/2 = 360cm

Now,

using heron's formula,

area = √[s(s-a)(s-b)(s-c)]

area = √[360cm(360cm-180cm)(360cm-240cm)(360cm-300cm)

area = √[360cm*180cm*120cm*60cm]

area = √(466,560,000cm⁴)

area = 21,600cm² or 216m²

Write the equation of a parabola, in standard form, that goes through these points: (0, 3) (1, 4) (-1, -6)

Answers

Hello,

P:y=ax²+bx+c is the equation.

(0,3)∈P==>3=a*0+b*0+c==>c=3
(1,4)∈P==>4=a+b+3==>a+b=1 (1)
(-1,-6)∈P==>-6=a-b+3==>a-b=-3 (2)

(1)+(2)==>2a=-2==>a=-1
(1)==>b=1-(-1)==>b=2

y=x²+2x+3
y=(x+1)²+2
Vertex is (-1,2)

Isabel bought a new jacket for $48 before tax. She paid 6.5% in sales tax. How much was the sales tax?A)$2.68
B)$2.92
C)$3.12
D)$3.08

Answers

Basing on the data provide above, if Isabel bought the jacket for $48.00 and sales tax is equal to 6.5% which is basically 0.065, we can multiply 0.065 * 48.00 which will be equal to $3.12. So going back to the options the answer is C. which is $3.12.

URGENT PLEASE HELP ME WITH THIS MATH QUESTION

Answers

Answer: 90

Step-by-step explanation:

Basically you reflect twice and then rotate it

Answer :

22.5 is the answer

MARK ME AS BRANILIST

PLEASE HELP ONLY GOT 2 MINUTES LEFT !!!John has a goal to ride his bike 100 miles this summer. John has ridden 12 miles thus far. There are only 40 days left in summer. Write a inequality to represent the average distance, d, in miles, John must ride each day for the rest of summer

Answers

Answer:

y $\geq 2.2$

Step-by-step explanation:

John wants to complete at least 100 miles. he has completed 12 which means he only has 88 left. If you divide 88(miles left) by 40(time left) you get 2.2 miles. so he would need a minimum of 2.2 miles a day to bike 100 miles.

Answer:

12 + 40d ≥ 100

Find the zeros of x3 +2X^2-23x-60