Find the total surface area of the cube.
2.2 cm

Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

The value of 36th term is 187.

An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.

abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.

Given series

12, 17, 22,.....

since the series is in AP because the difference between any two consecutive numbers is equal,

17 - 12 = 5 and 22 - 17 = 5

for nth term of AP

aₙ = a₁ + (n - 1)d

where a₁ = 12, n = 36, d  =5

a₃₆ = 12 + (36 - 1)5

a₃₆ = 12 + 35 × 5

a₃₆ = 12 + 175

a₃₆ =  187

Hence 187 is the 36th term.

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Answer:

Step-by-step explanation:

From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary

========================================================

Explanation:

The drawing is shown below.

Notice that 23 + 67 = 90, or you could say 90-67 = 23.

Use the tangent ratio to find x.

tan(angle) = opposite/adjacent

tan(23) = x/903

x = 903*tan(23)

x = 383.300759 approximately

x = 383.30

Answer:

62.5 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

So the answer is 90 - 27.5.

Answer:

-148/3 or -49.3

Step-by-step explanation:

820 rodents in total

------------------------------------

create a proportional equation:

[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]

[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex]                               ( Let the total population be x )

[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]

[tex]\hookrightarrow \sf x= 820[/tex]

Let that be x

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]

[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]

Answer:

See the steps below

Step-by-step explanation:

[tex]0.17 + \cfrac{(0.68-0.17)(20- (-14.4))}{-21.3- (-14.4)} =[/tex]

[tex]0.17 + \cfrac{0.51(20+14.4)}{-21.3+14.4} =[/tex]

[tex]0.17 + \cfrac{0.51*34.4}{-6.9} =[/tex]

[tex]0.17 - \cfrac{17.544}{6.9} =[/tex]

[tex]\cfrac{17}{100} - \cfrac{17544}{6900} =[/tex]

[tex]\cfrac{17*69-17544}{6900} =\\[/tex]

[tex]-\cfrac{16371}{6900} =[/tex]

[tex]-\cfrac{5457}{2300} =[/tex]

[tex]-2\cfrac{857}{2300}[/tex]

Answers:

10.) [tex]\displaystyle \pm{5}[/tex]

9.) [tex]\displaystyle 1\frac{1}{2}[/tex]

8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]

Step-by-step explanations:

10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]

9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]

8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]

I am joyous to assist you at any time.

Answer:

5/2

Step-by-step explanation:

to find the reciprocal you just flip the fraction.

Answer:

the answer is 5/2 because reciprocal means to flip the equation

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

x and y are in the ratio: 1 : 4

which means that if y is 35 x is 4 times y equating to 140

hence if x is 70 then y is 17.5

Answer:

0.

Step-by-step explanation:

1.8 + 3.4 = 5.2.

The sum of two sides is less than the length of the third side (5.6 cm)  so the answer is 0 triangles,

Answer:

y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0

Step-by-step explanation:

Answer:

That is true!

[tex]1,200 * 11 = 13,200[/tex]

Let me know if you need more help with multiplication. I may be able to help.

Have a great day.

The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.

volume of a cylinder = πr²h

where

Therefore,

r = 14 / 2 = 7 cm

h = 60 cm

volume of the cylinder = π × 7² × 60

volume of the cylinder = π × 49 × 60

volume of the cylinder = 2940π cm³

The volume of the half part = 2940π / 2 = 1470π cm³

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Answer: 27

Step-by-step explanation:

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

Answer:

The answer should be B. 86.7

Answer:

hello.

• Area: 387.11cm²

•A (side)= 15 cm.

hope this helps.

Answer: 666.22 m^3

Step-by-step explanation:

The formula for the volume of a right circular cone is: V = π*r^2*(h/

3)

Therefore, plugging in 14.1 for "r" and 3.2 for "h" yields 666.22

Answer: B

Step-by-step explanation:

Answer:

what do you want to know about linear equation?

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

m∠M = 52°

m∠K = 52°

m∠L = 128°

m∠J = 128°

Step-by-step explanation:

If the given shape is a parallelogram, its opposite interior angles are equal.

⇒ m∠M = m∠K

⇒ 7x - 4 = 5x + 12

Subtract 5x from both sides:

⇒ 2x - 4 = 12

Add 4 to both sides:

⇒ 2x = 16

Divide both sides by 2:

⇒ x = 8

Substitute found value of x into the expressions for each angle to find the measures of the angles:

⇒ m∠M = 7(8) - 4 = 52°

⇒ m∠K = 5(8) + 12 = 52°

As the angles on the same side of the transversal in a parallelogram sum to 180°, then

⇒ m∠J + m∠M = 180°

⇒ m∠J = 180° - m∠M

⇒ m∠J = 180° - 52°

⇒ m∠J = 128°

As m∠L = m∠J  then m∠L = 128°

Answer:

y + 8

Step-by-step explanation:

8 more than y is y plus 8.

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

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Answer:

13

Step-by-step explanation:

The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively

The central angles of each family is calculated using:

Angle = Percentage * 360

Using the data on the circle graph, we have:

Taxes = 2% * 360 = 7.2 degrees

Housing = 16% * 360 = 57.6 degrees

Food = 16% * 360 = 57.6 degrees

Childcare = 18% * 360 = 64.8 degrees

Transportation = 13% * 360 = 46.8 degrees

Insurance = 28% * 360 = 100.8 degrees

Other needs = 7% * 360 = 25.2 degrees

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Answer:

300 calories

Explanation:

Here radius:

perimeter of track = 2 π r = 2 (3.14) (75) = 471 ft

total laps ran:

So calories burnt:

Answer:

300 calories

Step-by-step explanation:

Circumference of a circle = πd

(where d is the diameter)

Given:

Substitute the given values into the formula to find the circumference (length of one lap):

⇒ Circumference = 3.14 × 150 = 471 ft

Given:

⇒ Total laps = total distance run ÷ circumference

                     = 11775 ÷ 471

                     = 25

Given:

⇒ Total calories burnt = total number of laps × cal burnt per lap

                                     = 25 × 12

                                    = 300 calories

Answer:  Reduce the expression, if possible, by cancelling the common factors

25223.52941176

Hoped this helped :)

Answer:

it classified as a

error.

Step-by-step explanation:

Answer:

30:9 or if you want it simplified 10:3

Step-by-step explanation: