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Answer:

x = 60

Step-by-step explanation:

The sum of the angles in a triangle is 180

40 + x+20 + x = 180

Combine like terms

2x+60 =180

Subtract 60 from each side

2x+60-60 =180-60

2x =120

Divide by 2

2x/2 =120/2

x = 60

Step-by-step explanation:

option 2 is the answer....

Answer:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Step-by-step explanation:

A two-digit number can be written as:

a*10 + b

Where a and b are single-digit numbers.

a is the tens digit

b is the units digit.

the reverse number is:

b*10 + a

We know that:

"If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number"

Then:

(a + b)*10 = b*10 + a + 9

We now need to solve this for a and b, where the other restriction that we have is that a and b can be any whole number of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Then:

(a + b)*10 = b*10 + a + 9

a*10 + b*10 = b*10 + a + 9

subtracting b*10 in both sides, we get:

a*10 = a + 9

solving this for a, we get:

a*10 - a = 9

a*(10 - 1) = 9

a*9 = 9

a = 9/9

a = 1

and notice that we do not have any restriction for b.  So b can be any number of the set.

for example, if b = 2

a*10 + b = 12

now let's test the property:

10*(1 + 2) = 2*10 + 1 + 9

30 = 20 + 10 = 30

now if b = 4, we have:

a*10 + b = 1*10 + 4 = 14

10*(1 + 4) = 4*10 + 1 + 9

50 = 50

So we can see that for any value of b, this will work.

So the only restriction that we have, is that a must be equal to 1.

Then the numbers are:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

The possible numbers are 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19

Assume the digits of the two-digit number are x and y, where:

So, the original number (n) is:

[tex]n = 10 \times x + y[/tex]

When the digits are added, and multiplied by 10, we have the following equation:

[tex](x + y) \times 10 = 9 + (y \times 10 + x)[/tex]

Expand the equation

[tex]10x + 10y = 9 + (10y + x)[/tex]

Remove bracket

[tex]10x + 10y = 9 + 10y + x[/tex]

Subtract 10y from both sides

[tex]10x = 9 + x[/tex]

Subtract x from both sides

[tex]9x = 9[/tex]

Divide both sides by 9

[tex]x = 1[/tex]

Recall that the number is represented as:

[tex]n = 10 \times x + y[/tex]

So, we have:

[tex]n = 10 \times 1 + y[/tex]

[tex]n = 10 + y[/tex]

This means that, the possible numbers are from 10 to 19

Read more about two-digit numbers at:

https://brainly.com/question/23846183

Answer:

y=1/2sin(1/2x)

Step-by-step explanation:

because i use my brain to count

Question isnt well formatted :

Answer:

1 : 6

Step-by-step explanation:

Given the question :

3x = 1/2y

3x = y/2

Multiply both sides by 2

3x * 2 = y/2 * 2

6x = y

This can be interpreted as :

y = 6 times the value of x

x = y/6

x : y

1 : 6

Answer:

it is surface area have a good day

Step-by-step explanation:

Answer:

Surface Area!!

Step-by-step explanation:

Step-by-step explanation:

→ P = 2L + 2W

→ P = 2(L + W)

→ P ÷ 2 = L + W

→ (P ÷ 2) - W = L

We can use this formula to to calculate the length.

Answer: [tex]\dfrac{32}{3}[/tex]

Step-by-step explanation:

Given

The parabolas are [tex]x^2=2y[/tex] and [tex]y^2=16x[/tex]

Find the point of intersection of two parabolas

[tex]\Rightarrow \left(\dfrac{x^2}{2}\right)^2=16x\\\\\Rightarrow x^4=64x\\\Rightarrow x(x^3-64)=0\\\Rightarrow x=0,4[/tex]

Obtain y using x

[tex](x,y)\rightarrow (0,0)\ \text{and }(4,8)[/tex]

Area enclosed between the two is

[tex]\Rightarrow I=\int\limits^4_0 ({4\sqrt{x}-\dfrac{x^2}{2}}) \, dx\\\\\Rightarrow I=\left ( 4\times \dfrac{2}{3}x^{\frac{3}{2}}-\dfrac{x^3}{2\times 3} \right) _0^4\\\\\Rightarrow I=\left ( \dfrac{8}{3}\times 8-\dfrac{4^3}{6} \right )-0\\\\\Rightarrow I=\dfrac{128-64}{6}\\\\\Rightarrow I=\dfrac{64}{6}\\\\\Rightarrow I=\dfrac{32}{3}[/tex]

Thus, the area bounded by the two parabolas is  [tex]\dfrac{32}{3}[/tex] sq. units.

Answer:

3rd option

Step-by-step explanation:

Answer:

Its the third one because it has equal sides because the others are not.

Step-by-step explanation:

Answer:

33 Cubic inches

Step-by-step explanation:

The volume, in cubic inches, of the second cylinder is,

⇒ 210 inches³

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Chandni compares two cylinders. Both cylinders have an identical base.

Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.

And, The second cylinder has a height of 7 inches.

Let the volume, in cubic inches, of the second cylinder is, x

Hence, We can formulate;

120 / 4 = x / 7

⇒ 120 × 7 = 4x

⇒ 4x = 840

⇒ x = 210 inches³

Thus, The volume, in cubic inches, of the second cylinder is,

⇒ 210 inches³

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

DEF = 110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

     = 3*35 +5

    = 105+5

   = 110

Answer:

SinA=5/1 3 CosA=12/13 tanA=5/12. SinC=12/13 CosC=5/13 and tanC=12/5

Step-by-step explanation:

Basically find the third side by Pythagorean theorem which would get you 13. So 13 is the hypotenuse. Remember these 3 formulas. Sin=Opposite/Hypotenuse Cos=Adjacent/hypotenuse and Tan=opposite/Adjacent. So for Sin a the opposite side to angle A is 5. The hypotenuse is always the same which would be 13. So Sin a is 5/13. For cos the side adjacent would be 12. So it is 12/13. *Note Hypotenuse cannot be considered the adjacent.

Answer:

sin A = 5/13,  cos A = 12/13,  tan A = 5/12,  sin C = 12/13, cos C = 5/13, tan C = 12/5

Step-by-step explanation:

According to Pythagoras, hypotenuse = √{(12)^2+(5)^2}. So, hypotenuse = 13. (See picture if confused).

sin A = 5/13

cos A = 12/13

tan A = 5/12

sin C = 12/13

cos C = 5/13

tan C = 12/5

Answer:

108 cm²

Step-by-step explanation:

the surface area is the sum of all individual shapes areas on the surface.

2 right-angled triangles

3 rectangles

area of a right-angled triangle is At = a×b/2

At = 4×3/2 = 6 cm²

we need it twice : 12 cm²

one rectangle (length×width) = 8×3 = 24 cm²

one rectangle = 8×4 = 32 in²

one rectangle = 8×5 = 40 cm²

total surface area

A = 12+24+32+40 = 108 cm²

an area is always a square unit (power of 2).

a volume is always a cubic unit (power of 3).

and a length is always a simple unit (power of 1).

Answer:

10k ÷ 10 + 1 = k + 1

Step-by-step explanation:

LHS

10k ÷ 10 + 1

10(9) ÷ 10 + 1

90 ÷ 10 + 1

10

RHS

k + 1

9 + 1

10

10k ÷ 10 + 1 = 10

Answer:

  1354.7 square inches

Step-by-step explanation:

The area of a regular n-sided polygon with side length s can be found using the formula ...

  A = n·s²/(4·tan(180°/n))

For n=12 and s=11, the area is ...

  A = (12(11²)/(4·tan(15°)) ≈ 1354.7 . . . . square inches

Answer:

[tex]Area = 1353.9 \: {inches}^{2} [/tex]

Step-by-step explanation:

Hint :

Area of a Regular Dodecagon

A = [tex]3 {s}^{2} (2 + \sqrt{3} )[/tex]

Answer :

The area of a regular dodecagon with 11-inch sides = [tex]3 {(11)}^{2} (2 + \sqrt{3} )[/tex]

[tex]Area = 3( {11)}^{2} (2 + \sqrt{3}) \\ = 3 \times 121 \times 3.73 \\ = 1353.9 \: {inches}^{2} [/tex]

Answer:

30

Step-by-step explanation:

10/100 = x/300

10x300=3000

3000/100 = 30

Answer:

(3 1/2 , -4)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x = 3 1/2 and y = -4

(3 1/2 , -4)

Answer:

the value of g

Step-by-step explanation:

Answer:

Please post the actual question

Step-by-step explanation:

Thanks

Answer:

multiply by 2

Swings to track

20in = 40 yards

Track to bb court

8 in = 16 yards

how much further is the track from the swings

than from the bb court

40 - 16 = 24 yards

Answer: 2*3^2 = 18   3*5^2 = 75      75 + 18 = 93

Answer:

Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd

C=3.14*18

C=56.52

now we have to multiple this by the height of two

113.04

now we have to find the area of the bottom to do this we do A=πR^2

A=3.14*81

A=254.34

multiple this by two for the two sides we get

508.68

now we add this to 113.04 we get

621.72

since I used 3.14 instead of more digits of pie we can round this up so the answer is C.

Your Welcome

BIFFY OUT!!!

Answer:

C and E

Step-by-step explanation:

use desmos

[tex]\longrightarrow{\blue{ C. \:\: {5}^{2x} \times 5 }}[/tex] 

[tex]\longrightarrow{\blue{ E. \:{25}^{x} \times 5 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: {5}^{2x + 1} [/tex]

[tex]\boxed{ C.}[/tex] [tex] \: {5}^{2x} \times 5[/tex]

➺[tex] \: {5}^{2x} \times {5}^{1} [/tex]

➺[tex] \: {5}^{2x + 1} [/tex]

[tex]\boxed{ E. }[/tex] [tex] {25}^{x} \times 5[/tex]

➺[tex] \: ({ {5}^{2} })^{x} \times {5}^{1} [/tex]

➺[tex] \: {5}^{(2 \times x) + 1} [/tex]

➺[tex] \: {5}^{2x + 1} [/tex]

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]