If x = 15 cm, y = 36 cm, and z = 39 cm, what is the surface area of the geometric shape formed by this net? A. 1,890 cm2 B. 2,880 cm2 C. 2,430 cm2 D. 738 cm2

Answer:

#a

[tex] \implies\displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8}}[/tex]

Converting each of them into equivalent like fractions,

[tex] \implies{ \displaystyle \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} }[/tex]

[tex] \implies{ \displaystyle{ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} }}[/tex]

[tex] \implies{ \displaystyle{ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} }}[/tex]

[tex]{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} = \frac{18}{24} + \frac{20}{24} + \frac{21}{24} = \frac{59}{24} = 2\frac{11}{24} }}[/tex]

Shortcut method:-

[tex]\implies{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{3 \times 6 + 5 \times 4 + 7 \times 3}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{18 + 20 + 21}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{59}{24} = 2 \frac{11}{24} }}[/tex]

Remarks:-

#b

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} }}[/tex]

[tex]{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} = \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{144 + 51 + 68}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{233}{18} = 12 \frac{17}{18} }}[/tex]

Alternatively,

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{(6 + 2 + 3) + \frac{1}{3} + \frac{5}{6} + \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{1 \times 6 + 5 \times 3 + 7 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{35}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + 1 \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 + \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 \frac{17}{18} }}[/tex]

[tex] \large \sf \frac{3}{4} + \frac{5}{6} + \frac{7}{8} [/tex]

Write all numerators above the least common denominator 24

[tex] \large \sf \frac{3 \times 6 +5 \times 4 + 7 \times 3 }{24} [/tex]

Multiply the numbers

[tex] \large \sf \frac{18 +20 + 21 }{24} [/tex]

Add the numbers

[tex] \large \sf \frac{59 }{24} [/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \large \sf 6\frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} [/tex]

Convert the mixed number to an improper fraction

[tex] \large \sf \frac{19}{3} + \frac{17}{6} + \frac{34}{9} [/tex]

Write all numerators above the least common denominator 18

[tex] \large \sf \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} [/tex]

Multiply the numbers

[tex] \large \sf \frac{114+ 51 + 68}{18} [/tex]

Add the numbers

[tex] \large \sf \frac{233}{18} [/tex]

Answer:

x < 9

Step-by-step explanation:

Move the -4 over as if there was an equal sign so that x < 9

Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.

Let me know if this helps <3

Answer:

x < 9

Step-by-step explanation:

The graphed solution starts with a open circle on the 9 number on the number line. Then there is a line that extends from the open circle all the way to the left.

Answer:

471.24

Step-by-step explanation:

The formula for circumference is 2×pi×r. Replace the r with 75 and multiply.

circumference of the race track = 471.24 yards.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Given,

radius of race track r = 75  yards

circumference of the park = 2πr

                                            = 2×3.1416×75

                                            = 471.24 yards

471.24 yards is the circumference of the race track.

Learn more about circle here:

https://brainly.com/question/29142813

#SPJ2

Answer:

140

Step-by-step explanation:

560. 1

____. ÷. ______

1. 4

Cross out the numbers that are divisible

560/4 = 140

The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5

Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180

The value of x is 69

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertical opposite angles are congruent. Therefore,

a. ∠5 ≅ ∠7 (vertical angles)

Therefore, angles 5 and 7 are congruent angles.

∠7 = 47°

b. Suppose ∠6 = 2x - 5 . let's find x

Therefore,

∠5 + ∠6 = 180(angle on a straight line)

The equation to solve the above is as follows:

47 + 2x - 5 = 180

42 + 2x = 180

2x = 180 - 42

2x = 138

x = 138 / 2

x = 69

learn more on intersecting lines here: https://brainly.com/question/24715845

Answer:

a)  <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.

<7 = 47°

b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.

<5 + <6 = 180°

47° + (2x - 5)° = 180°

c) To solve the linear equation we need to isolate x.

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69

Answer:

(-1,-11)

Step-by-step explanation:

Since the Transformation happened to the g(x)

where we multiplied g(x) by -1 and g(x) represents the y-value

so the y-value will be multiplied by -1

New y-value = 11*-1 = -11

so the New Point will be (-1,-11)

Answer:

(0,-4)(2,0) put that in there and connect them

Step-by-step explanation:

Answer:

05:45, 15 is a quarter of an hour.

Answer:

5:45 15 minutes is a quarter of an hour

Answer:

C

Step-by-step explanation:

r - rcosθ = 6

r - x = 6

r = 6 + x

r² = (6 + x)²

x² + y² = 36 + x² + 12x

y² = 36 + 12x

12x = y² - 36

x = y²/12 - 3

That is C

Answer:5 years is 650 10 years is 1300

Step-by-step explanation:

Answer:

f(x)= -1(x-3)(x+4)

First blank: -1

2nd blank: 3

3rd blank: 4

Step-by-step explanation:

When the parabola is flipped upside down (opened downward) there should be a negative in front. So the first blank is -1. Also, this parabola has not been stretched or smashed, that's why the value is a 1. Again, negative, because its reflected (flipped).

The other two blanks will come from the x-intercepts. The curve crosses the x-axis at 3 and -4.

If x = 3, then

subtracting 3 from both sides

x - 3 = 0

That x-3 is the

x - blank in the problem. Fill in a 3.

If x = -4, then adding 4 to both sides,

x + 4 = 0

Likewise, this x+4 is the

x + blank

in the question. Fill in a 4.

Answer:

-1, 3, 4

Step-by-step explanation:

Answer:

[tex]7\frac{5}{16}[/tex] ANSWER (C.

Step-by-step explanation:

Multiply [tex]9\frac{3}{4}[/tex] by [tex]\frac{3}{4}[/tex] to get [tex]\frac{117}{16}[/tex]

-

[tex]7\frac{5}{16} = \frac{117}{16}[/tex]

because 7 multiply by 16 plus 5 = 117

So 117 over 16

is the same as  [tex]7\frac{5}{16}[/tex] .

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

The relations in a right triangle are given as follows:

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

[tex]\sin{40^\circ} = \frac{b}{10}[/tex]

[tex]b = 10 \times \sin{40^\circ}[/tex]

Using a calculator:

[tex]b = 6.43[/tex]

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

0

Step-by-step explanation:

when f(x) is divided by (x - h) then the remainder is f(h)

f(x) = x³ - 9x² + 6x + 2 with h = 1 , then

f(1) = 1³ - 9(1)² + 6(1) + 2 = 1  - 9 + 6 + 2 = 0

since the remainder is 0 then (x - 1) is a factor of f(x)

Answer:

5 but fair losing would be three-fifths

Step-by-step explanation:

Answer:

He would get 30 boxes I think

Step-by-step explanation: I did the math, I hope its correct

Answer: -6

Step-by-step explanation:

we know that 3x6=18

But, if you make it -6,

It will be -18!

Answer:

C

Step-by-step explanation:

Because it can be 9 or less than 9

Answer:
The answer would be C

Step-by-step explanation:

The reason why the answer would be C is because if it were to only be exactly at nine it would be the symbol of just less then but because the circle is filled that means that is less then or equal to

Have a good day

Answer:

-450 dollars

[tex]500 - 450 = 50\\50 - 50 = 0\\0 - 480 = -480\\-480 + 30 = -450[/tex]

I hope this helps! Have a great day.

Answer:

-$450

Step-by-step explanation:

yup

Answer:

Using EMV analysis, the number of units of the new product should be purchased for resale = Purchase 7.

The maximum EMV of profit you can make is 270.

Explanation:

We can use the following method to solve the given problem

Solution:

Using EMV analysis,

EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240

EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270

EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260

Largest EMV= 270; Choose to purchase 7 units for resale.

Step-by-step explanation:

Hopefully this helps :)

Answer:

For every 9 grasshoppers in Ryan's collection, there are 7 katydids.

Step-by-step explanation:

Answer:

2 adults, 8 children.

Step-by-step explanation:

just add the prices together.

Answer:

anyone know the real answer please i need helpppppppp

Step-by-step explanation:

please

Answer:

x = (274/25)

Step-by-step explanation:

STEP 1:Isolate the square root on the left hand side

STEP 2:Eliminate the radical on the left hand side

STEP 3:Solve the linear equation

STEP 4:Check that the solution is correct

Original equation, root isolated, after tidy up     5√x+2 = 18     Plug in (274/25) for  x       5√(274/25)+2 = 18      Simplify      5√12.96 = 18      Solution checks !!     Solution is:       x = (274/25)

Answer:

that is if 35 at the beginning

x= -[tex]\frac{2386}{1225}[/tex]

and if it is 5

x=[tex]\frac{14}{25}[/tex]

Answer:

2

Step-by-step explanation:

Input is X, which is 18

Y = ⅓(18) - 4

= 6 - 4

= 2

Answer:

yes, $694.88

Step-by-step explanation:

You have to find the cost after applying the coupon and sales tax. First remove 25% from the price by finding 75% of the price. 850*.75=$637.5 after applying the coupon. Then you would have to increase it by 9% to account of sales tax, so multiply by 1.09. 637.5*1.09= $694.88 after sales tax. This means that Larry can very narrowly afford the computer.

Answer:

Rs 190000

Step-by-step explanation:

Total property = Rs 1000000

For 1 son= 27% of the property

For 3 sons=27%×3= 81%

For daughter=100%-81%=19%

Now,

For daughter

19% of Rs 1000000

19/100 × Rs 100000

Rs 190000

Hence the daughter will get Rs 190000

Formula to find average:

Total value / number of values

____________

1. Krista = 30

a) Des = 2(30) - 20 = 40

b) Dodie = 30 - 4 = 26

c) Average score = 40 + 30 + 26 / 3 = 32

d) Dodie scored the least marks.

_____________

2. Ezekiel = x

Vincent = 6 + x

Daniel = x - 3

Average = 63

63 = x + 6 + x + x - 3/3

63 × 3 = x + 6 + x + x - 3

189 = 3x + 3

189 - 3/3 = x

62 = x

a) Vincent = 6 + x = 68 kg

b) Ezekiel = x = 62 kg

c) Daniel = x - 3 = 59 kg

d) Total weight = 62 + 68 + 59 = 189 kg

_____________

Hope it helps ⚜