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pshichka [43]
3 years ago
10

Will Give BRAINLIEST for CORRECT answer! Please Help! A can of vegetables holds 454 mL of food and is 4.5 in. tall. What is the

diameter of the can? Please how all steps!!
Mathematics
2 answers:
Katena32 [7]3 years ago
8 0

Answer: the diameter of the can is 2.8 inches

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 = 4.5 inches

Volume of can = 454 millilitres

1 cubic inch = 16.387 millilitres

Converting 454 millilitres to cubic inches, it becomes

454/16.387 = 27.7 cubic inches

Therefore

27.7 = 3.14 × r² × 4.5

27.7 = 14.13r²

r² = 27.7/14.13

r² = 1.96

r = √1.96

r = 1.4

Diameter = 2 × radius

Diameter = 2 × 1.4 = 2.8 inches

fredd [130]3 years ago
7 0
It would be 2.8 the diameter
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You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of
Nikolay [14]

Answer:

13

Step-by-step explanation:

20÷1.5 since there is not X

5 0
3 years ago
ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m
Pavel [41]

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}

Therefore

tan(\theta) = \dfrac{y}{x}

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

8 0
3 years ago
The answer, and work shown.
hoa [83]
Slope= 1/2
Y intercept= (0,2)

Explanation:
Slope-intercept form is y=mx+b
-2x+4y=8
-8-2x=-4y
Divide by -4
2+1/2x=y

Y=1/2x+2
5 0
3 years ago
the width of a rectangle is 8 feet and the diagnal length of the rectangle is 13 feet which measurement is closest to the length
____ [38]

Answer:

Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself

Step-by-step explanation:

Okay so you have a weigh of 8 and a diagonal of 13.

If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.

Pythagorean theroum: a^2+b^2=c^2

Now subsitute c for 13 since its the hypotnuse and a or b as 8 but only one.

In this case I’m substituting a for 8.

8^2+b^2=13^2

Solve the squares

64+b^2= 169

Isolate the b

b^2=105

Now square root 105

√105 will give the answer above on a normal calculator but if you have to round, I don’t know what place but you can round.

7 0
3 years ago
Please help asap<br><br> solve x^4+5x^2+4=0
const2013 [10]

Answer:

x=\pm i\text{ or }x=\pm2i

Step-by-step explanation:

So we have the equation:

x^4+5x^2+4=0

Let's let u be equal to x². So:

u^2+5u+4=0

Factor:

(u+1)(u+4)=0

Zero Product Property:

u+1=0\text{ or } u+4=0

Subtract:

u=-1\text{ or }u=-4

Replace:

x^2=-1\text{ or }x^2=-4

Take square root:

x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4

Simplify:

x=\pm i\text{ or }x=\pm2i

7 0
2 years ago
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