Estimate a 15% tip on a dinner bill of $61.75 by first rounding the bill amount to the nearest ten dollars. What’s the estimated tip?

Answer:

x = 10

Step-by-step explanation:

8² + 6² = x²

64 + 36 = x

64 + 36 = 100

√100 = 10

[tex]\huge\bold{To\:find:}[/tex]

✎ The length of the hypotenuse ''[tex]x[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"x"\:is\:10.}[/tex]

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

Using Pythagoras theorem, we have

[tex] ( {hypotenuse})^{2} = ( {perpendicular})^{2} + ( {base})^{2} \\ ⇢ {x}^{2} = {6}^{2} + {8}^{2} \\ ⇢ {x}^{2} = 36 + 64 \\ ⇢ {x}^{2} = 100 \\ ⇢ x = \sqrt{100} \\ ⇢x = \sqrt{10 \times 10} \\ ⇢x = \sqrt{ ({10})^{2} } \\ ⇢x = 10[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:10.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex] {x}^{2} = {6}^{2} + {8}^{2} \\⇝ ({10})^{2} = 36 + 64 \\ ⇝10 \times 10 = 100 \\ ⇝100 = 100 \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

(a) V = 51200 cubic cm

(b) V' = 38912 cubic cm

(c) V'' = V - V' = 12288 cubic cm

Step-by-step explanation:

side of the square base, s = 32 cm

height, h = 50 cm

height of cake mixture, h' = 38 cm

(a) The capacity of the tin is the volume.  

Capacity of tin, V =  s x s x h = 32 x 32 x 50 = 51200 cubic cm

(b) The volume of the cake mixture is

V' =  s x s x h'

V' = 32 x 32 x 38 = 38912 cubic cm

(c) Volume of unoccupied space is

V'' = V - V' = 51200 - 38912 = 12288 cubic cm

Answer: 16%

Step-by-step explanation:

$25 - $21 = $4

Percentage = 100[discount / (original price)] % = 100($4 / $25) % = 16%

Answer:

the fish is now at 5 m

Step-by-step explanation:

13-8=5

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.

The statement that best describes how the screen size changed between 2005 and 2011 is: A) The company increases the screen size by 0.5 inch every year.

Given:

2005= 15.5 inches

2011=18.5 inches

Hence:

2005-2011= 6 years

18.5 inches-15.5 inches=3 inches

Size of screen:

Size of screen=3/6

Size of screen=0.5 increase every year

Therefore the correct option is A.

Learn more about screen size change here:https://brainly.com/question/13261582

#SPJ6

Answer:

4.974

Step-by-step explanation:

Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Given:

Number of letters = 4

Number of letters selected without replacement = 2

To find:

The total possible number of ways.

Solution:

We have 4 letters A, B, C and D.

So, the number of ways to select first letter is 4.

After selecting a letter the number of remaining letters is 3.

So, the number of ways to select second letter is 3.

Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:

[tex]4\times 3=12[/tex]

Therefore, the required number of ways is 12.

Answer:

Surface Area = 1633.63 square yd

Step-by-step explanation:

[tex]r = 10, \ h = 16\\\\Surface \ Area = 2 \pi r^2 + 2 \pi r h\\\\[/tex]

[tex]= 2 \pi \times 10^2 + 2 \pi \times 10 \times 16\\\\=200 \pi + 320 \pi\\\\= 520 \pi\\\\ =1633.63 \ yd ^2[/tex]

Answer:

hehe

Step-by-step explanation:

Answer:

its m= 4/5

Step-by-step explanation:

Answer:

[tex]m = \frac{4}{5}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A

Step-by-step explanation:

(2 * sqrt(5^2 - 4^2))^2 = 36

4 * 1/2 * 5 * 6 = 60

60 + 36 = 96

Answer:

-1,373

Step-by-step explanation:

a69 = -13 + (69-1)(-20)

= -13+(68)(-20)

= -13 - 1,360

= -1,373

Answer:

-1373

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's an A.P. whose :-

Formula for finding nth term of A.P. = aⁿ = a + (n - 1)d

SOLUTION :-

According to the question ,

By using the formula for finding nth term ,

69th term of A.P. = -13 + (69 - 1)×(-20) = -13 + (-1360) = -1373

Answer: shapes with at least 1 circular face

Step-by-step explanation:

The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.

D Shape with at lease 1 face

HOPE THIS HELPS

Answer:

101°

46°

Step-by-step explanation:

The sum of angle C and angle F should be 180°as they are parallel.

Hence, angle C ;

Angle C + angle F = 180°

Angle C + 79° = 180°

Angle C = 180° - 79°

Angle C = 101°

Sum of angle in Trapezoid = 360°

Hence,

C + D + E + F = 360°

101° + 134° + E + 79° = 360°

314° + E = 360°

E = (360 - 314)°

E = 46°

correct answer is c i think so

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3

Answer:

267.45 sq units

Step-by-step explanation:

Area of shaded region = Area of Square minus Area of Circle

the sides of the square are twice the radius of 9, therefore 18

A(square) = 18² = 324

A(circle) = π9² = 81π ≈ 56.55

324 - 56.55 = 267.45

Answer:

false

Step-by-step explanation:

this beacuse when is times with the base that shows the product thats the factor

Step-by-step explanation:

question is not understood can u write clearly plzzz

Answer:

(6,21)

Step-by-step explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).

Answer:

$480

Step-by-step explanation:

Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in

based on the dimensions, there would be 4 ads per page

total ads in 12 pages = 4 x 12 = 48

total cost of ads = 48 x 10 = 480

Answer:

Size of the side of the square = 25

Step-by-step explanation:

Here WY is the diagonal

VZ = ZX = 15

and VW = VY = 20 (bisector of diagonal)

The diagonals intersect each other at 90 degrees

Hence the side of the Rhombus

Sqrt ( 15^2 + 20^2)

Sqrt (225 +400)

Sqrt (625)

= 25

Answer:

1 hour or 60 minutes.

Answer:

1st one is 36

2nd one is 64

3rd one is square root of 72

4th one is square root of 128

Answer:

Step-by-step explanation:

For correct scientific notation, we need to have 1 number to the left of the decimal, and everything else to the right. Since our number is already less than 1, the exponent representing the number of places we move the decimal will be negative. We have to move the decimal 5 places to the right to get the 5 to the left of the decimal and everything else to the right, making this:

[tex]5.974*10^{-5[/tex]

Answer:

sorry i dont know how to do this yet moths do a lot of tufff too u know what im sayin

Step-by-step explanation:

Answer:

16/21

Step-by-step explanation:

9+7 / 21

16/21

Answer:

16/21

Step-by-step explanation:

The demoninator is 21

There are 9 pens and 7 shoes.

9+7=16

16/21

You can not simplify 16/21, so that is your final answer.