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3 years ago

A FEW MATH QUESTIONS ! PLEASE EXPLAIN ANSWERS ! (:

Mathematics

2 answers:

aliina [53]3 years ago

6 0

Answer:

Step-by-step explanation:

One

LA (Lateral Area) = 2.5 * BA (Base Area)

LA = 2.5 * 20

LA = 50 in^2

But the surface area = Lateral Area + Base

LA = 50

Base = 20

Total Surface Area = 70

Answer C

Two

The hypotenuse of the triangle is sqrt(a^2 + b^2)

a = 12

b = 16

c = ?

c =sqrt(12^2 + 16^2)

c = sqrt(144 + 256)

c = sqrt(400)

c = 20

Volume of rectangular Prism= L*W*H

L = 20

W = 12

H = 16

V = 20 * 12 * 16

V = 3840

C <<<<< answer

Three

V_cone = 1/3 B * H

3 * V_cone = BH

V_cylinder= B * H Equate equals to equals.

V_cylinder =3 * Cone

The cylinder has 3 times the volume of the cone.

V_cylinder = 3 * 12ft^3

V_cylinder = 36 ft^3

Answer C

Four

B = 1/2 * b * h of the triangle

Volume of pyramid = 1/3 * 1/2 * b * h * H where H is the height of the Pyramid.

Volume of Pyramid = 1/6 * b*h * H Now b*h*H are each doubled.

Volume of Pyramid = 1/6 * (2*b)(2*h)(2*H)

Volume of New Pyramid = 1/6 * 8 (b * h * H)

The volume has increased by a factor of 8.

If the smaller pyramid was 9 then the new larger one is 8*9 = 72

D <<<< answer

7nadin3 [17]3 years ago

3 0

answers

1) 70

2) 3,840

3) 24

4) 72

Explanation

The surface area of a cone is given by;

S.A = 2Πrl + Πr²

Where r is the radius of the base and l is the lateral height.

Πr² = area of the base = 20 in²

2Πrl = Area of the lateral surface

= 2.5 × 20

= 50

Area of the cone = 50 + 20

= 70 in²

The sides of the Pythagorean triangle with legs of 12 and 16.

The 3rd side will be;

c = √(12² + 16²)

= √400 = 20

Volume = 12 × 16 × 20

= 3,840

The volume of a cone is given by;

volume = 1/3 Π r² h

This shows that the volume of a cone is a third the volume of the cylinder.

∴ Volume of the cylinder = 12 × 3

= 24 ft³

The volume of any regular figure is;

Volume = base area × height

When the dimensions area usually 3. Let these dimensions be x, y and z.

∴ volume = x × y × z = 9

Doubling the dimensions;

Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9

= 8 × xyz = 8 × 9

= 72 ft²

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What position is the 9 in the number 9,32805

asambeis [7]

( I think there's a typo. The comma should be in between 2 and 8 )

The 9 is in the hundred thousands place.

932805
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7 0

3 years ago

Read 2 more answers

Consider the initial value function y given by

Nuetrik [128]

Answer:

y(s) = $\frac{5s-53}{s^{2} - 10s + 26}$

we will compare the denominator to the form $(s-a)^{2} +\beta ^{2}$

$s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$

comparing coefficients of terms in s

$s^{2} :$ 1

s: -2a = -10

a = -2/-10

a = 1/5

constant: $a^{2}+\beta ^{2} = 26$

$(\frac{1}{5} )^{2} + \beta ^{2} = 26\\\\\beta^{2} = 26 - \frac{1}{10} \\\\\beta =\sqrt{26 - \frac{1}{10}} =5.09$

hence the first answers are:

a = 1/5 = 0.2

β = 5.09

Given that y(s) = $A(s-a)+B((s-a)^{2} +\beta ^{2} )$

we insert the values of a and β

$\\5s-53$ = $A(s-0.2)+B((s-0.2)^{2} + 5.09^{2} )$

to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A

5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)

-52 = B(26)

B = -52/26 = -2

to get A lets substitute s=0.4

5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)

-51 = 0.2A - 52.08

0.2A = -51 + 52.08

A = -1.08/0.2 = 5.4

the constants are

a = 0.2

β = 5.09

A = 5.4

B = -2

Step-by-step explanation:

since the denominator has a complex root we compare with the standard form $s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$
Expand and compare coefficients to obtain the values of a and β as shown above
substitute the values gotten into the function
Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above

Thanks...

3 0

2 years ago

The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20

PilotLPTM [1.2K]

Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

The volume of the pool = 1472m³
The length of the pool = 36.8m
The width of the pool = 20 m

Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

= 2 meter

Hence, the depth of the YMCA lap pool is 2 meters.

Learn more about Volume here:

brainly.com/question/13338592

#SPJ1

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1 year ago

Which expression represents the inverse of y=3x-12?

Dafna11 [192]

It's A.............................

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3 years ago

A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan c

Svetradugi [14.3K]

You do the following.

Take the price of the most expensive subscription and retract the price of the cheap one.

$50-$40 = $10

Since we know what the price of a text message and the difference in dollars between the two subscriptions, we can calculate how many text messages has to be sent. We just divide the result from before ($10) with the price of a text message ($0.2)

$10/$0.2 = 50

The total number of text messages that needs to be send in order for the price of the subscriptions to be the same, is 50.

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3 years ago