how do u find volume of a rectangle

Answer:

below

Step-by-step explanation:

10ˣ = 5

applying log to both sides

xlog 10 = log5

x = 0•699

Answer:

75.36 mi

Step-by-step explanation:

Given :-

We know :-

→ Circumference = 2 π r

→ C = 2 * 3.14 * 12 mi

→ C = 75.36 mi

Answer:

Step-by-step explanation:

circumference of a circle=2πr

=2*3.14*12

=24*3.14

=75.36 mi

Answer:

(5x-8)(x-3)

Step-by-step explanation:

The factor of this equation is 5x-8

So, after the factorization is (5x-8)(x-3)

Im not sur eabout this but i think it mean that 17% is like0.98_08

Answer:

x=ln 24

Step-by-step explanation:

e^x=24

If we take the ln of both sides

ln e ^x= ln 24

x=ln 24

As both the angles are linear, their sum is equal to 180°

i.e m<EFG+m<GFH = 180

=>( 2n+17 )+(4n+37) = 180

=> 6n + 54 = 180

=> 6n = 180-54

=>6n =126

=> n= 21

m<EFG = 2(21)+17 = 59°

m<GFH =4(21)+37 =121°

Given: ∠EFG and ∠GFH are a linear pair

We know that: Sum of the angles which make a linear pair should be equal to 180°

⇒  ∠EFG + ∠GFH = 180°

Given :

∠EFG = 2n + 17

∠GFH = 4n + 37

⇒  2n + 17 + 4n + 37 = 180°

⇒  6n + 54 = 180°

⇒  6n = 180 - 54

⇒  6n = 126

⇒  n = 21°

Substituting the value of n in ∠EFG and ∠GFH, We get:

⇒  ∠EFG = 2(21) + 17 = (42 + 17) = 59°

⇒  ∠GFH = 4(21) + 37 = (84 + 37) = 121°

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Answer:

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Step-by-step explanation:

Point P:

The coordinates of point P are (x,y).

AP=3/7 AB

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this both for coordinate x and coordinate y.

Coordinate x:

[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]

[tex]x + 2 = \frac{12}{7}[/tex]

[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]

Coordinate y:

[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]

[tex]y + 2 = -\frac{6}{7}[/tex]

[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Answer:

out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong

Answer:

B

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x)

f(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3

        = - 2(- 8) + 4 - 8 - 3

        = 16 + 4 - 8 - 3

        = 9 → B

Answer:

60

Step-by-step explanation:

[tex]\frac{300}{5}[/tex]

60

Hence, 60 is the answer

Answer:

60 mph

Step-by-step explanation:

For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:

[tex]300[/tex]÷[tex]5=60[/tex] miles.

So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.

Andrea was driving at 60 mph.

I hope this helps! Please let me know if you have any questions :)

Answer:

$7.50

Step-by-step explanation:

30 x 0.25= 7.50

Answer:

Integer = 362

Step-by-step explanation:

Let the two integers be x and y

Sum of two integers, x + y = 310 ------(1)

Given one of the integer, Let x = -52

Substitute x = -52 in (1) ,

                                      -52 + y = 310

                                              y = 310 + 52

                                              y = 362

[tex]5[/tex] ✅

Step-by-step explanation:

[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

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

Answer:

12.5

Step-by-step explanation:

14+6²÷(-4)

=14+6×6÷(-4)

=14+36÷(-4)

=50÷-4

=12.5

Answer:

25%

Step-by-step explanation:

(a)

We need to express in percent 8 as a percent of 32.

We have,

Numerator = 8

Denominator = 32

Percent,

[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]

Hence, the required percentage is 25%.

Answer:

x = 8

Step-by-step explanation:

The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.

9(9 + 11) = 10(10 + x)

180 = 100 + 10x

10x = 80

x = 8

Answer:

f'(x)=2

Step-by-step explanation:

[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]

Answer:

The expanded form of 6,398 is 6000 + 300 + 90 + 8

Answer:

$4

Step-by-step explanation:

2/100 x 200 = 4

Answer:

18.9 km²

Step-by-step explanation:

Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]

0.5(7 × 5.4) = 18.9 km²

Answer:

A = 1/2 bh

1/2 x 7 x 5.4

= 18.9km2

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

Answer:

$25.66

Step-by-step explanation:

Given data

Total Bill before tax and tip= $27.30

Tax= 9%

Tip= 15%

Let us find the tax

=9/100*27.30

=0.09*27.30

=$2.457

Let us find the tip

=15/100*27.30

=0.15*27.30

=$4.095

Therefore his bill after tax and tip is

=27.30+2.457-4.095

=$25.66

Answer:

48ml

because its the correct answer!

Answer:

48 ml

Step-by-step explanation.  80, percentage decreased by 40% (percent) of its value = 48

Answer:

Nope it isn't linear.

Step-by-step explanation:

Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly

for instance you put 2,4

4 = -4(2)+12

4 = -8+12

that is true

but if you put in (5,-1)

-1 = -4(5)+12, which is not true

if all of them is true, then it would be true.

if even ONE of them is not true, then the who line is not linear

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; However, one can deduce from the options that the question refers to percentage change.

I will give two illustrations that shows how to calculate percentage change.

Illustration 1

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$55[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{10}{45} * 100\%[/tex]

[tex]\%Change = \frac{1000}{45} \%[/tex]

[tex]\%Change = 22.22\%[/tex]

This means there is a 22.22% increase

Illustration 2

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$35[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{-10}{45} * 100\%[/tex]

[tex]\%Change = -\frac{1000}{45} \%[/tex]

[tex]\%Change = -22.22\%[/tex]

The negative sign indicates percentage decrease

So, this means there is a 22.22% decrease

Step-by-step explanation:

answer is in picture see

hope it helpful

Step-by-step explanation:

diamonds and hearts are red cards

spades and clubs are black cards

15+11=26

26/52 is the probability of selecting a black card, 50%

Answer:

38sq yards

Step-by-step explanation:

Separate it into parts

3x2 for the top section

8x4 for the bottom

6+32=38

Answer:I hope this could help !ut the answer is 4

Step-by-step explanation:

2 of them left so there are 4 left