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3 years ago

How much larger is the circumference of circle A than the circumference of circle B?

Mathematics

1 answer:

Rzqust [24]3 years ago

3 0

Answer:

Circumference of Circle A is about 16 units larger than the Circumference of Circle B

Step-by-step explanation:

Formula for Circumference of a circle = πd

Where, d = diameter of circle

Thus:

Circle A diameter = 13

Circle B diameter = 8

Therefore:

Circumference of Circle A = π*13 = 40.8407045 ≈ 41 unit (nearest whole number)

Circumference of Circle B = π*8 = 25.1327412 ≈ 25 unit (nearest whole number)

✔️Difference between circumference of Circle A and Circle B = 41 - 25 = 16

Therefore the Circumference of Circle A is about 16 units larger than the Circumference of Circle B

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Justin car can travel 75 miles using 3 gallons of gas. At this rate, how far, in miles, can Justin travel using 8 gallons of gas

AlekseyPX

Answer:

Justin travels 211.83 miles on 8.2 gallons of gas.

Step-by-step explanation:

77.5 miles / 3.1 gallons = x miles / 8.2 gallons

Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.

8.2 gallons *77.5 miles / 3.1 gallons = x

635.5/ 3.1 = x

211.83 miles = x

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3 years ago

Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha

Studentka2010 [4]

Answer:

Container B has smaller surface area.

Step-by-step explanation:

Given:

Container A

Radius = 60/2 = 30 mm

Height = 4 x 60 = 240 mm

Container B

Length = 120

Width = 120

Height = 60

Computation:

Surface area of container A (Cylinder) = 2πr[h+r]

Surface area of container A (Cylinder) = 2[22/7][60][120+60]

Surface area of container A (Cylinder) = 67,885.70 mm² (Approx)

Surface area of container B (Cuboid) = 2[lb+bh+hl]

Surface area of container B (Cuboid) = 2[(14,400)+(7,200)+(7,200)]

Surface area of container B (Cuboid) = 57,600 mm²

Container B has smaller surface area.

8 0

3 years ago

Please Help! Will Mark Brainliest

Gennadij [26K]

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio on right triangle KJL

and the exact value sin30° = $\frac{1}{2}$

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{JL}{KL}$ = $\frac{JL}{8\sqrt{2} }$ = $\frac{1}{2}$ ( cross- multiply )

2JL = 8 $\sqrt{2}$ ( divide both sides by 2 )

JL = 4 $\sqrt{2}$

---------------------------------------------------------

Using the sine ratio in right triangle JLM

and the exact value sin45° = $\frac{1}{\sqrt{2} }$

sin45° = $\frac{opposite}{hypotenude}$ = $\frac{LM}{JL}$ = $\frac{x}{4\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x × $\sqrt{2}$ = 4 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$

x = 4

8 0

3 years ago

Determine the number of degrees of freedom for the two-sample t test or CI in each of the following situations. (Round your answ

gulaghasi [49]

Answer:

Part a ) The degrees of freedom for the given two sample non-pooled t test is 24

Part b ) The degrees of freedom for the given two sample non-pooled t test is 30

Part c ) The degrees of freedom for the given two sample non-pooled t test is 30

Part d ) The degrees of freedom for the given two sample non-pooled t test is 25

Step-by-step explanation:

Degrees of freedom for a non-pooled two sample t-test is given by;

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Now given the information;

a) :- m = 12, n = 15, s₁ = 4.0, s₂ = 6.0

we substitute

Δf = {[ 4²/12 + 6²/15 ]²} / {[( 4²/12)²/12-1] + [(6²/15)²/15-1]}

Δf = 30184 / 1241

Δf = 24.3223 ≈ 24 (down to the nearest whole number)

b) :- m = 12, n = 21, s₁ = 4.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 4²/12 + 6²/21 ]²} / {[( 4²/12)²/12-1] + [(6²/21)²/21-1]}

Δf = 56320 / 1871

Δf = 30.1015 ≈ 30 (down to the nearest whole number)

c) :- m = 12, n = 21, s₁ = 3.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 3²/12 + 6²/21 ]²} / {[( 3²/12)²/12-1] + [(6²/21)²/21-1]}

Δf = 29095 / 949

Δf = 30.6585 ≈ 30 (down to the nearest whole number)

d) :- m = 10, n = 24, s₁ = 4.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 4²/10 + 6²/24 ]²} / {[( 4²/10)²/10-1] + [(6²/24)²/24-1]}

Δf = 1044 / 41

Δf = 25.4634 ≈ 25 (down to the nearest whole number).

6 0

3 years ago

Find the perimeter<br> Please answer<br> HS geometry

Tasya [4]

Answer:

Hey boss man, just add up all the sides! For example, just add 3.9+3.9+3.9! and if there is a line in the middle of a certain side, it means that it is congruent or the same as another side with a dash. For example, with number 2, the side without a measurement is congruent with the the side with measurement of 7mm! Hope this helps! You got this! :)

Step-by-step explanation:

5 0

3 years ago