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1 year ago

A metal soup can is 4 in. tall and has a diameter of 6 in.

Mathematics

1 answer:

sukhopar [10]1 year ago

4 0

The amount of metal used to make the can = surface area of cylindrical can, which is: D. 42π in².

<h3>What is the Surface Area of a Cylinder?</h3>

A can is a cylinder.

Surface area of a cylinder = 2πrh + 2πr²

Thus:

Amount of metal used to make the can = surface area of the can

r = 6/2 = 3 in.

h = 4 in.

Therefore:

Surface area = 2×π×3×4 + 2×π×3²

Surface area = 24π + 18π

Surface area = 42π in².

Learn more about the surface area of a cylinder on:

brainly.com/question/14657844

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Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

enyata [817]

Answer:

The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

Step-by-step explanation:

Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26

Since two opposites sides are equal, therefore we can say that two no parallel sides are equal.

The length of midsegment is average of length of parallel lines.

$MN=\frac{AD+BC}{2}$

$30=\frac{AD+17}{2}$

$60=AD+17$

$43=AD$

Draw perpendiculars on AD from B and C. Let angle A be θ. D

$AD=AE+EF+FD$

Since ABCD is an isosceles trapezoid, therefore AE=FD and EF=BC

$AD=AE+EF+AE$

$43=2(AE)+17$

$26=2(AE)$

$13=AE$

$\cos\theta=\frac{base}{hypotenuse}$

$\cos\theta=\frac{AE}{AB}$

$\cos\theta=\frac{13}{26}$

$\cos\theta=\frac{1}{2}$

$\theta=\cos^{-1}\frac{1}{2}$

$\theta=60$

Since ABCD is an isosceles trapezoid, therefore angles A and D are same. Angle B and C are same.

$\angle A=\angle D=60^{\circ}$

The sum of two consecutive angles of a trapezoid is 180 degree by consecutive interior angle theorem.

$\angle A+\angle B=180^{\circ}$

$60^{\circ}+\angle B=180^{\circ}$

$\angle B=120^{\circ}$

$\angle B=\angle C=120^{\circ}$

Therefore measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

3 0

3 years ago

Factor by grouping:

erma4kov [3.2K]

The idea is to group up the terms into two groups, factor each group and then factor out the overall GCF

2x - 18 + xy - 9y
(2x - 18) + (xy - 9y)
2(x - 9) + (xy - 9y)
2(x - 9) + y(x - 9)
(2 + y)(x - 9)
(x - 9)(2 + y)

Answer: Choice B

3 0

3 years ago

Cameron is older than Hassan. Their ages are consecutive integers. Find Cameron's

Alexxandr [17]

Answer:

Step-by-step explanation:

So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.

So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"

So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145

So we can substitute the variables we defined to express Cameron and Hassan's age: $(x+1) + 5(x) = 145$

Distribute the 5: $x+1+5x$

Add like terms: $6x+1 = 145$

Subtract 1 from both sides: $6x=144$

Divide both sides by 6: $x=24$

Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25

6 0

1 year ago

Can somebody HELP me as soon as possible.

Butoxors [25]

Answer:

A: Linear

B: Nonlinear

C: Linear

4 0

2 years ago

Read 2 more answers

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