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4 years ago

If r = 5 units and x = 11 units, then what is the total surface area of the cylinder shown above?

Mathematics

1 answer:

Sergeu [11.5K]4 years ago

7 0

Answer: 502.65

Step-by-step explanation: A= 2πrh + 2πr^ this is the formula for solving the surface area so now you must substitute

2·π·5·11+2·π·5^

6.28 · 55 + 2 π · 25

add and you will get 502.65 hope this helps mark me brainliest if it did

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One number is 6 more than a second number, the sum of the two numbers is 330. what are the numbers?

maksim [4K]

Let's have the first number, the larger number, be x. We'll have the second, smaller number be y.

We know that x = y + 6, since x is 6 greater than y.

We also know that 330 = x + y.

Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.

Now all we need to do is simplify the equation. First, we subtract 6 from both sides:

330 - 6 = 324

2y + 6 - 6 = 2y.

So we have 324 = 2y. Then we divide both sides by 2 to get:

162 = y

Plug in y = 162 into the equation x = y + 6 to get:

x = 162 + 6

x = 168

Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.

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3 years ago

Which basic trigonometric identity would you use to verify that tan x cos x =sin x

True [87]

Answer:

$\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}$

Step-by-step explanation:

$\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}$

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4 years ago

Solve <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bh%20-%203000%7D%20" id="TexFormula1" ti

dezoksy [38]

$\sqrt{3}(h-3000)=h$
 $(\sqrt{3}h-\sqrt{3}(3000)=h$
$(\sqrt{3}-1)h=\sqrt{3}(3000)$
$h=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}$
$=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}$
$=7098.076$ (approximately)

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3 years ago

Last week, Delon ran a total of 32 miles. This week, he increased his running distance by 6.4 miles. By what percentage did he i

LekaFEV [45]

Answer:

Step-by-step explanation:

$\frac{6.4}{32}*100=\frac{640}{32}\\\\=20$

=20%

7 0

4 years ago

At a clearance sale,Jill got 70% off a silver bracelet.If she paid the cashier $27 ,what was the original price of the bracelet

mart [117]

Answer:

$38.57

Step-by-step explanation:

Make a proportion.

$\frac{27}{x} = \frac{70}{100}$

Cross multiply.

27 times 100 = 2700

2700 divided by 70 = 38.57142857

Round the result to the hundredths place.

38.57142857 ≈ 38.57

**Hope this helps!

4 0

3 years ago