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RUDIKE [14]
3 years ago
5

Help with math word problem grade 9 level

Mathematics
1 answer:
lianna [129]3 years ago
4 0

Answer:

356.1m

Step-by-step explanation:

use pythagoras theorem

where the imaginary line is hypotenuse

using the formula

square of hypotenuse= square of perpendicular +square of base

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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the
jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76  cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0
3 years ago
Find the HCF of 30x²y²z³​
Gennadij [26K]

Answer:

The greatest common factor or highest common factor of any set of numbers is the largest possible number which divides both the numbers exactly. HCF of 24 ..

Step-by-step explanation:

6 0
3 years ago
One of the factors of 1331x to the 3rd power-8y to the 3rd power.
artcher [175]
Remember
a^3-b^3=(a-b)(a^2+ab+b^2)

(11x)³-(2y)³=(11x-2y)(121x²+22xy-4y²)
6 0
3 years ago
A cab company charges $1 fee for the cab ride,
sweet-ann [11.9K]

Answer:

12 miles

Step-by-step explanation:

25 - $1 fee= 24/$2 per mile = 12 miles

7 0
2 years ago
Read 2 more answers
Proving Angles Congruent: Find the value of x. (5x+15) degrees = (6x-10) degrees
Andrew [12]

Answer:

25 = x

Step-by-step explanation:

If the angles are congruent, they are equal

5x+15 = 6x-10

Subtract 5x from each side

5x+15 -5x = 6x-5x-10

15 = x-10

Add 10 to each side

15+10 = x-10+10

25 = x

6 0
2 years ago
Read 2 more answers
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