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3 years ago

1) Make an equivalent ratio. 54 : 18 = 6 :

Mathematics

1 answer:

rosijanka [135]3 years ago

7 0

54 : 18 = 6 : 2

18 x 3 = 54

2 x 3 = 6

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Please, Find the value of x

dsp73

Answer:

85+(5x-10)=11x+3 (sum of two non-adjacent interior angle is equal to exterior angle )

75+5x=11x+3

75-3=11x-5x

6x=72

x=72/6

x=12

6 0

2 years ago

a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago

Fill in the blank (no word bank)

timofeeve [1]

Answer:

Alternate Interior Angles:

∠3 ≅ ∠5

Corresponding Angles:

∠3 ≅ ∠7

∠4 ≅ ∠8

Supplementary Angles:

∠3 is supplementary to ∠6

Step-by-step explanation:

7 0

3 years ago

SOLVE THESE 3 QUESTIONS WILL GIVE BRAINLIEST ASAP!

Fofino [41]

Answer:

A: Neither is a better deal, they cost the same person cubic foot

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B: The large truck's volume is 2.3 times greater than the small truck's

C: At least: three vans, or two small trucks, or one large truck

Step-by-step explanation:

V=Lhw R=$/ft³

Vv=10.5(6)(6)

Vv=378 ft³

Rv=94.5/378

Rv= 25¢ per ft³

Vs=12(8)6.75

Vs=648 ft³

Rs=162/648

Rs=25¢ per ft³

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Vl=20(8.75)8.5

Vl=1487.5 ft³

1487.5=648n

2.295=n

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7 0

3 years ago

Area of sector................................

sveticcg [70]

Answer:

A ≈ 25.1 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{\frac{4\pi }{9} }{2\pi }$

= π × 6² × $\frac{\frac{4\pi }{9} }{2\pi }$

= 36π × $\frac{\frac{4\pi }{9} }{2\pi }$

= 18 × $\frac{4\pi }{9}$

= 2 × 4π

= 8π

≈ 25.1 cm² ( to the nearest tenth )

3 0

2 years ago