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Ann [662]
3 years ago
6

On a fishing trip, you catch two fish. The weight of the first fish is shown. The second fish weighs at least 0.5 pound more tha

n the first fish. Write an inequality that represents the possible weights w (in pounds) of the second fish.
Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

w >= 1.7

Step-by-step explanation:

fyi the >= mean less than  or equal to

You might be interested in
If the two sides of a triangle are 2 and 7 what is the possible lengths of the third side.
koban [17]

b²=c²-a²

b²=7²-2²

b²=49-4

b²=45

b=√45

b=6.7

3 0
3 years ago
Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
olganol [36]
<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0
3 years ago
tickets to the zoo cost $12 for adults and $8 for children the school has a budget of $240 for the field trip. an equation repre
Yuki888 [10]

Answer: x=

−2

3

y+20

Step-by-step explanation

240=12x+8y

Step 1: Flip the equation.

12x+8y=240

Step 2: Add -8y to both sides.

12x+8y+−8y=240+−8y

12x=−8y+240

Step 3: Divide both sides by 12.

12x

12

=

−8y+240

12

x=

−2

3

y+20

Answer:

x=

−2

3

y

8 0
3 years ago
Sophia wanted to knit a scarf 1 meters long. On Monday, she knit
Sergio [31]

She knit 1/4 of the total length of the scarf on monday

Answer:

She knit 7/10 of the scarf altogether

Step-by-step explanation:

Please see the attached file for explanation

3 0
3 years ago
Find the volume of the cylinder. Give you answers both in terms of π and rounded to the nearest tenth.
Ugo [173]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Height = 19 cm

Since the base area is 24π cm², we would determine its radius by applying the formula,

Area of circle = πr²

24π = πr²

r² = 24

r = √24

Therefore,

Volume of cylinder = π × (√24)² × 19 = 456π cm³

It is approximately

456 × 3.14 = 1431.8 cm³

3 0
3 years ago
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