MATHEMATICS COLLEGE

I need help on this. ive been struggling. TwTlateral area
surface area
volume
​
m00nbun avatar

Answers

Answer 1
Answer:

Answer:

Lateral area = 352 Square m

Surface area = 756. 3 square m

Volume = 1408 cubic m

Step-by-step explanation:

lateral \: area = 2\pi \: rh \n = 2 * (22)/(7) * (16)/(2) * 7 \n = 22 * 16 \n = 352 \: {m}^(2) \n \n surface \: area = 2\pi \: r(h + r) \n = 2 * 3.14 * 8(7 + 8) \n = 6.28 * 8 * 15 \n = 6.28 * 120 \n = 756.3 \: {m}^(2) \n \n volume = \pi {r}^(2) h \n = (22)/(7) * {8}^(2) * 7 \n = 22 * 64 \n = 1408 \: {m}^(3) \n
Answer 2
Answer:

Answer:

total surface area Stot = 753.9816 m2

lateral surface area Slat = 351.85808 m2

top surface area Stop = 201.06176 m2

bottom surface area Sbot = 201.06176 m2

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28Here are two rectangles.
Р
e
B
D
S
R
QR = 20 cm
BC = PQ
The perimeter of ABCD is 52 cm
The area of PQRS is 90 cm?
Find the length of AB.

Answers

9514 1404 393

Answer:

  21.5 cm

Step-by-step explanation:

Consider rectangle PQRS. Its area is ...

  A = LW

  90 cm² = PQ×QR = PQ×(20 cm)

  (90 cm²)/(20 cm) = PQ = 4.5 cm . . . . . . BC has this value, too

__

Consider the perimeter of ABCD. It is given by ...

  P = 2(L +W)

  52 cm = 2(AB +BC) . . . . substitute known value for P

  26 cm = AB +4.5 cm . . . . use known value for BC, divide by 2

  21.5 cm = AB

Find the center of this circle by completing the square. x^2+y^2-6x+8y+10=0
Show work

Answers

Answer:

Center: (3, - 4)

Step-by-step explanation:

We can start to solve this problem by converting this equation into standard form. In other words, by completing the square --- (1)

Subtract " 10 " from either side of the equation x² + y² - 6x + 8y + 10 = 0

x² + y² - 6x + 8y = - 10

Step 1: Complete the square for the expression " x² - 6x "

Using the quadratic equation ax² + bx + c we know that a = 1, b = - 6, c = 0. Assume that d = b / 2a. We have...

d = - 6 / 2(1) = - 6 / 2 = - 3

Now let's assume that e = c - (b²) / 4a...

e = 0 - (-6)² / 4(1) = 0 - 36 / 4 = 0 - 9 = 9 (Substitute values d and e)

(x - 3)² - 9

Step 2: Respectively we can complete the square for the remaining expression " y² + 8y "

Here a = 1, b = 8, c = 0

d = 8 / 2(1) = 8 / 2 = 4

e = 0 - (8)² / 4(1) = 0 - 64 / 4 = 0 - 16 = - 16 (Substitute values)

(y + 4)² - 16

This leaves us with the expression " (x - 3)² - 9 + (y + 4)² - 16 = - 10. " If we simplify this a bit further it leaves us with the following circle equation. Using this we can identify the center of the circle as well --- (2)

\mathrm{Standard}\:\mathrm{Circle}\:\mathrm{Equation} : (x - 3)^2 + (y +4)^2 = 15,\n\mathrm{General}\:\mathrm{Form} : (x - h)^2 + (y +k)^2 = r^2,\n\mathrm{Properties} : \mathrm{Center} = (3, - 4), \mathrm{Radius} = √(15)

As you can see our center here is (3, - 4)

The ratio of cats to dogs at the shelter is 3 to 2 if there are 15 cats at the shelter how many dogs are there

Answers

Answer:

3/2=15/x

Step-by-step explanation:

Solve that and you’ll get x, which is your answer

Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives at Furniture Patch Inc.$4.0 $6.0 $7.4 $10.6 $12.5 $13.6 $15.4 $15.8 $16.8
$17.4 $19.1 $22.3 $37.1 $43.2 $81.4
a. Determine the mean, median, and the standard deviation. (Round your answers to 2 decimal places.)
Mean $
Median $
Standard deviation $
b. Determine the coefficient of skewness using Pearson

Answers

Answer:

Mean= $21.5067

Median = $15.8

Standard deviation= $19.02

Coefficient of skewness= $0.8991

Step-by-step explanation:

Mean =( $4.0 +$6.0 +$7.4+ $10.6 +$12.5+ $13.6+ $15.4+ $15.8 +$16.8

+$17.4+ $19.1 +$22.3+ $37.1 +$43.2 +$81.4)/15

Mean =$ 322.6/15

Mean= $21.5067

Median= middle number

Median = $15.8

Variance=( ($4.0-.$21.5)²+( $6.0. -.$21.5)²+( $7.4 -.$21.5)²+( $10.6 -.$21.5)²+( $12.5 -.$21.5)²+( $13.6. -.$21.5)²+ ($15.4 -.$21.5)²+( $15.8 -.$21.5)²+ ( $16.8 -.$21.5)²+ ($17.4-.$21.5)² +($19.1 -.$21.5)²+ ($22.3 -.$21.5)²+ ($37.1 -.$21.5)²+ ($43.2-.$21.5)²+( $81.4-.$21.5)²)/15

Variance=$ 5424.79/15

Variance=$ 361.65

Standard deviation= √ variance

Standard deviation= √361.65

Standard deviation= $19.02

Coefficient of skewness

=3( mean-median)/standard deviation

= 3(21.5-15.8)/19.02

= 3(5.7)/19.02

= 17.1/19.02

Coefficient of skewness= 0.8991

Giuseppe is studying shark attacks around the world and finds that most such attacks occur during the day. He concludes that sharks usually do not eat at night. This conclusion is A) not justified, since sharks can't tell day from night. B) justified, since he studied attacks from all around the world. C) not justified, since people usually swim in the ocean during the day. D) justified, assuming that the sharks finish eating their kills before sunset.

Answers

Answer:

C) not justified, since people usually swim in the ocean during the day.

What is the value of x in both a & b?

Answers

Answer:

a. x=9, b. x=6

Step-by-step explanation:

In a the triangle is cut in half. the sides are equal even though the triangle is slanted.

In b the triangles are similar if you flip the big one. Since the smaller triangle is smaller it is a reduced form of the larger one.

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