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3 years ago

8

if the base area of a cylinder is 153.86 square centimeters and the height is 5 centimeters determine the volume of the cylinder

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer:

the answer is V≈769.3cm³

Step-by-step explanation:

You might be interested in

Write a variable expression for 4 fewer than a number s.

rjkz [21]

S - 4

s minus 4 is the answer. s is the number and this is 4 fewer than s. Hope this helps.

8 0

2 years ago

Question: If the triangle is right, the hypotenuse is?? <br><br> Plsss help

raketka [301]

Answer:

the hypotenuse of the given triangle is 48.5 ft

Step-by-step explanation:

the ways to detect the hypotenuse of a triangle are :

longest side of a right angled triangle is the hypotenuse of the triangle .
side opposite to the right angle ( 90° ) is the hypotenuse of the right angled triangle .

<em> </em><em>in</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>figure</em><em> </em><em>the</em><em> </em><em>longest</em><em> </em><em>side</em><em> </em><em>is</em><em> </em><em>48</em><em>.</em><em>5</em><em>,</em><em> </em><em>hence</em><em> </em><em>it's</em><em> </em><em>the</em><em> </em><em>hypotenuse</em><em>.</em><em>.</em><em>.</em><em>.</em>

3 0

2 years ago

△klm, lm=20 sqrt 3 m∠k=105°, m∠m=30° find: kl and km

Anarel [89]

Answer:

KL = $\frac{20\sqrt{6}}{1+\sqrt{3}}$ = 17.93

MK = $\frac{40\sqrt{3}}{1+\sqrt{3}}$ = 25.36

Explanation:

According to the Law of Sines:

$\frac{a}{sinA}=\frac{b}{sinB}= \frac{c}{sinC}$

where:

A, B, and C are angles

a, b, and c are the sides opposite to the angles

First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore

m∠K + m∠L + m∠M = 180°

m∠L = 180° - m∠K - m∠M

m∠L = 180° - 105° - 30°

m∠L = 45°

Now, we can apply the Law of Sines to our case (see picture attached):

$\frac{LM}{sinK}=\frac{MK}{sinL}=\frac{KL}{sinM}$

Let's solve one side at the time:

$\frac{LM}{sinK}=\frac{MK}{sinL}$

$\frac{20\sqrt{3}}{sin(105)}=\frac{MK}{sin(45)}$

$MK = \frac{20\sqrt{3} }{sin(105)} \cdot sin(45)$

MK = $\frac{40\sqrt{3} }{1+\sqrt{3} }$ = 25.36

Similarily:

$\frac{LM}{sinK}=\frac{KL}{sinM}$

$\frac{20\sqrt{3}}{sin(105)}=\frac{KL}{sin(30)}$

$KL = \frac{20\sqrt{3} }{sin(105)} \cdot sin(30)$

KL = $\frac{20\sqrt{6}}{1+\sqrt{3}}$ = 17.93

8 0

2 years ago

After a lesson on exponents, Tia went home and said to her mom " I learned that 10 to the 4th power is the same as 40,000." She

Burka [1]

Answer:

The answer is "10,000".

Step-by-step explanation:

In the 10^4 can be written as 10 exponents 4, which is not equal to 40,000. Tia's opinion was incorrect because the exponential shows how much they multiply that base number.

Let's explain :

$\to 10^4 = 10 \times 10 \times 10 \times 10 \\$

$=10,000$

5 0

3 years ago

Statistics In the manual “How to Have a Number One the Easy Way,” it is stated that a song “must be no longer than three minutes

dimaraw [331]

Answer:

We conclude that the sample is from a population of songs with a mean greater than 210 seconds.

Step-by-step explanation:

We are given that a simple random sample of 40 current hit songs results in a mean length of 252.5 seconds.

Assume that the standard deviation of song lengths is 54.5 sec.

Let $\mu$ = <u><em>population mean length of the songs</em></u>

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 210 seconds {means that the sample is from a population of songs with a mean smaller than or equal to 210 seconds}

Alternate Hypothesis, $H_A$ : $\mu$ > 210 seconds {means that the sample is from a population of songs with a mean greater than 210 seconds}

The test statistics that will be used here is <u>One-sample z-test statistics </u>because we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean length of songs = 252.5 seconds

$\sigma$ = population standard deviation = 54.5 seconds

n = sample of current hit songs = 40

So, <u><em>the test statistics</em></u> = $\frac{252.5-210}{\frac{54.5}{\sqrt{40} } }$

= 4.932

The value of z-test statistics is 4.932.

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 4.932 > 1.645, so <u><em>we have sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the sample is from a population of songs with a mean greater than 210 seconds.

4 0

2 years ago