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2 years ago

Find length indicated

Mathematics

1 answer:

VMariaS [17]2 years ago

3 0

Answer:

Step-by-step explanation:

the equation is

33 = 3x-28+3x-30+x

33=7x-28-30

33=7x-58

+58 +58

91=7x

x=13

DE=13

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PLEASE HELP!

IrinaVladis [17]

Answer:

Step-by-step explanation:

<h3>Sphere:</h3>

1) a) r = 7 cm

$\sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}$

$\sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3$

$\sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}$

= 4*3.14 * 7 * 7

= 615.44 cm²

b) r= 8.4 cm

$Volume = \dfrac{4}{3}\pi r^3$

$\sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3$

Surface area = 4*3.14*8.4*8.4

= 887.04 cm²

<h3>Hemisphere:</h3>

a) r = 6 cm

$\sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}$

$\sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3$

$\sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}$ $\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}$

= 3 * 3.14 * 6 * 6

= 339.12 cm²

3 0

1 year ago

(y-5)6+15–5y=5<br> What does the variable represent?

Strike441 [17]

Answer:

2.75

Step-by-step explanation:

(y-5)6+15–5y=5

(y-5+5)6-6+15-15–5y=5-6-15+5

y-5y=-11

-4y/-4=-11/-4

y=2.75

8 0

3 years ago

Evaluate f(x) = sqrt(5x + 4) for x = 12

Nezavi [6.7K]

Answer is 8

Work Shown:

f(x) = sqrt(5*x + 4)

f(12) = sqrt(5*12 + 4) ... replace every x with 12

f(12) = sqrt(60 + 4)

f(12) = sqrt( 64 )

f(12) = 8

8 0

2 years ago

Is 3.14512 a rational number

zvonat [6]

No it is not because you can't make it into a fraction.

3 0

2 years ago

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The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.

gizmo_the_mogwai [7]

$n+n+1=37\\
2n=36\\
\boxed{n=18}\\
\boxed{n+1=19}$

5 0

2 years ago

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