One paperback book costs $7. How many books can be bought for $133?

Create an equation then solve it.

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!

Answer:

c

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Answer:

i think it would be 2 because its in the middle of the slope and it would make scence

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

its either a rectangle or a square

Step-by-step explanation:

for it to be a rectangle there must be 4 right angles, but for it to be a square, there must be both 4 right angles and each side must be the same

Answer:

k-9=10

k=10+9

k=19

take care of yourself

have a nice day

Answer: 6/19

Step-by-step explanation:

To solve this question, find out the number of multiples of 3 between the numbers 1 - 19.

The multiples of 3 there are:

= 3, 6, 9, 12, 15 and 18

There are 6 multiples.

Probability will therefore be:

= Number of multiples of 3/ Total number of cards

= 6/19

Answer:

2

Step-by-step explanation:

2 is the only factor that goes into 6 and 16. (6th's Factors) 1, 2, 3 and 6

(16th Factors) 1, 2, 4, 8 and 16.

The greatest common factor of 6 and 16 is 2.

To find the greatest common factor (GCF) of 6 and 16, we need to determine the largest number that can divide both 6 and 16 without leaving a remainder.

First, we find the factors of each number:

Factors of 6: 1, 2, 3, 6

Factors of 16: 1, 2, 4, 8, 16

By comparing the factors, we can identify that both 6 and 16 have a common factor of 2. However, 6 also has a factor of 3, which is not a factor of 16.

To determine the GCF, we select the highest common factor, which is 2.

Therefore, the greatest common factor of 6 and 16 is 2.

The GCF is an essential concept in mathematics as it helps simplify fractions, factorize expressions, and solve various mathematical problems. It allows us to identify the largest number that can evenly divide two or more given numbers.

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Answer:

-1/2

Step-by-step explanation:

Gradient=Change in value of Y coordinates/Change in value of X coordinates.

Take two points on the line.( -2,2) and (-4,3)

Find Delta or change in the values

let assume X is the gradient.

X=3-2/-4-(-2)

X= 1/-4+2

X=1/-2 which is written as -1/2

Answer:

linear

Step-by-step explanation:

Not sure but it would be helpful if you can show me the options. Thank y!!

Answer:

Here is 16 divided by 1/4 displayed mathematically in colors:

16

 ÷    

1

4

The numbers in 16 divided by 1/4 are labeled below:

16 = whole number

1 = numerator

4 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

16 x 4

1

 =    

64

1

Thus, the answer to 16 divided by 1/4 in fraction form is:

64

1

To make the answer to 16 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

64 / 1 = 64

The answer is rounded to the nearest two decimal points if necessary.

64/1 is an improper fraction and should be written as 64.

Step-by-step explanation:

Answer:

I think it's -180

Step-by-step explanation:

He keeps descending -15 feet every 1 minute

1 x -15 = -15

2 x -15 = -30

12 x -15 = -180

Step-by-step explanation:

step 1. let's call the line in the middle y.

step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.

step 3. x^2 + y^2 =100 (pythagorean theorem))

step 4. x^2 + (sqrt(74))^2 = 100.

step 5. x^2 = 100 - 74

step 6. x^2 = 26

step 7. x = sqrt(26). note: sqrt is the square root.

The value of the x is [tex]\sqrt{26}[/tex].

To understand more, check below explanation.

Apply Pythagoras theorem in right side triangle,

            Hypotenuse[tex]=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}[/tex]

Now apply Pythagoras theorem in the left side triangle,

              [tex]Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}[/tex]

Hence, the value of the x is [tex]\sqrt{26}[/tex].

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Answer: See explanation

Step-by-step explanation:

a. Let the money in m savings account be represented by x.

If I doubled the money in my savings account, I would have $150.62. This means that:

(2 × x) = $150.62

2x = $150.62

Divide both side by x

2x/2 = $150.62/2

x = $75.31

The amount in the savings account is $75.31

b. Let the hourly wage be represented by x.

Three times the hourly wage plus $7.65 in tips equals $27.90. This will be:

(3 × x) + 7.65 = 27.90

3x + 7.65 = 27.90

3x = 27.90 - 7.65

3x = 20.25

x = 20.25/3

x = 6.75

The hourly wage is $6.75

Answer:

where.... are the expressions?

Step-by-step explanation:

Answer:

The most logical choice for the expression would be 5m + 5c = E

But it could also be 5(m + c) = E

Answer:

x=20

Step-by-step explanation:

Rewrite the equation as  

x /32 = 5/ 8

Multiply both sides of the equation by 32

32 ⋅ x /32 = 32 ⋅ 5/8

Simplify both sides of the equation.

Cancel the common factor of  

32

Cancel the common factor.

Rewrite the expression.

x = 32 ⋅ 5/8

Simplify  

32⋅5/8

Cancel the common factor of  

8

Factor  8  out of  32

x = 8 ( 4 ) ⋅ 5/8

Cancel the common factor.

Rewrite the expression.

x = 4 ⋅ 5

Multiply  4  by  5

Answer:

[tex]8 = 6 + \frac{a}{4} \\ \frac{a}{4 } = 8 - 6 \\ \frac{a}{4} = 2 \\ a = 2 \times 4 \\ a = 8[/tex]

Answer:

-3y - 7x - 5

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

(4y - 3x - 2) - (7y + 4x + 3)

Step 2: Simplify

Answer:

6x−12x^2

Step-by-step explanation:

Answer:

Evaluated it is 6x-12x^2

Step-by-step explanation:

3x*2=6x

add minus sign

3x*4x=12x

Since 2 x add 2 as an exponent!

Answer:

let natural no be 1

(5.1-4)^2-(2.1+11)^2/21

25-16-4-121/21

-5.52

Step-by-step explanation:

plz maje me brainliest

The circumference when the area of a circle is 16π ft² is 8π feet.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

From the information given the area of a circle is 16π ft² be we want to calculate the circumference, in feet. This will be Illustrated this:

Circumference of a circle = 2πr

Area of a circle = πr²

r = radius.

Therefore, based on the information regarding the area given, the radius will have to be calculated first.

Area = 16π

πr² = 16π

r² = 16π / π

r² = 16

r =✓16

r = 4

Radius = 4ft.

Therefore, the circumference will be:

= 2πr

= 2 × π × 4

= 8π

Circumference is 8π feet.

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Answer:

Step-by-step explanation:

lets remove the paranthesis and multiply

-5-3(4x-9)=

=-5-12x+27=

=-12x+22

Answer:

x = 2/3 and y = 8/9

Step-by-step explanation:

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

Given

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence x = 2/3 and y = 8/9

Answer:

i  GOT C

Step-by-step explanation:

i'll help you step sis anything for you

sorry if you get it wrong dont trust the internet kids

Answer:

a box of plan B cost roughly $50.00

it is pretty expensive but you don't need an I.D.

Step-by-step explanation:

Answer:

formula = y2-y1/x2-x1

Step-by-step explanation:

(-4,-2) (-3,5)

x1=-4       x2=-3

y1=-2        y2=5

5+2/-3+4=7

so M=7

y-y1=m(x-x1)

y+2=7(x+4)

2y=7x+28

rearrange

-7x+2y-28=0

Answer:

x = 120°

Step-by-step explanation:

We are given;

sec²x + 4secx = -4

Rearranging gives;

sec²x + 4secx + 4 = 0

Factorizing the left hand side gives;

(sec x + 2)(sec x + 2) = 0

This means that;

(sec x + 2) = 0

From trigonometry, we know that sec x = 1/cos x

Thus;

(1/cos x) + 2 = 0

1/cos x = -2

cos x = -1/2

cos x = -0.5

x = cos^(-1) -0.5

x = 120°

Answer:

Step-by-step explanation:

Ted will save $15.

Answer:

He will save $17.7.

Step-by-step explanation:

30% of 59= 41.3

59-41.3= 17.7

Answer: A. The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%

Step-by-step explanation:

Number of red tiles = 9

Number of blue files = 10

Number of green tiles = 6

Total number of tiles = 9 + 10 + 6 = 25

Probability of drawing red tile = 9/25 = 0.36 = 36%

Probability of drawing blue tile= 10/25 = 0.40 = 40%

Probability of drawing green tile = 6/25 = 0.24 = 24%

Based on the explanation above, the correct answe is option A "The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%".