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3 years ago

11

I need help with this

1 answer:

Debora [2.8K]3 years ago

5 0

C because if you look at the intercept it’s a y and the y inception is equivalent to 4 so y=4x-14

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the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

I need help with trig

Taya2010 [7]

Answer:

sinθ = p/h = 4/6= 2/3

θ = 41 degrees

7 0

2 years ago

Solve: 2/x+1/3=1/y for y.

Liono4ka [1.6K]

Answer:

y=3x/6+x

Step-by-step explanation:

7 0

3 years ago

Solve for C:<br> Spam: deiodhwidweiudjegydjwe

Maksim231197 [3]

Answer:

$C=\frac{5F-160}{9}$

Step-by-step explanation:

Let's solve for C.

$F=\frac{9C}{5}$

Step 1: Flip the equation.

$\frac{9}{5} C+32=F$

Step 2: Add $-32$ to both sides.

$\frac{9}{5} C+32+-32=F+-32$

$\frac{9}{5}C=F-32$

Step 3: Divide both sides by $\frac{9}{5}$ .

$\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }$

$C=\frac{5F-160}{9}$

Answer:

$C=\frac{F-160}{9}$

8 0

2 years ago

Help please help help please please please

AnnZ [28]

Answer:

C. $\frac{5}{4}$

D. $\frac{6}{7}$

Step-by-step explanation:

C. $2 - \frac{12}{16}$

$= 2 - \frac{3}{4}$

$= \frac{8 - 3}{4}$

$= \frac{5}{4}$

D. $\frac{20}{22} \times \frac{33}{35}$

$= \frac{10}{11} \times \frac{33}{35}$

$= 10 \times \frac{3}{35}$

$= 2 \times \frac{3}{7}$

$= \frac{6}{7}$

3 0

3 years ago