in right triangle ABC, line CD is perpendicular to line AB, AD=9 cm DB=16 cm. Find CD and the area of triangle ABC

Answer:

Step-by-step explanation:

Y=(X-3) 3+1

1. Flip the way the equation is facing

1+3 (3-x)=Y

2. Add or Subtract

4 (3-x)=Y

3. Do the parentheses

4(-3x)=Y

4. Solve for X ( Undo addition or Subtraction)

(4-4)=0

What ever you do to one side you have to do to the other!

Y-4

Your New Equation Looks Like

-3x= -4 + Y

5. Undo Multiplication

-3x/3= x

What ever you do to one side you have to do to the other!

-4/3 y/3

6. Divide Y

y/3= 3

7. New equation

X= -4/3 + 3

8. Plug in X to the Original Equation

Y=2(-4/3+3) -3 +(3+1)

9. Solve accordingly

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}[/tex]

For bigger pentagon

[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}[/tex]

Since both, the ratio is the same

[tex]\dfrac{x}{7} =\dfrac{7}{15}[/tex]

[tex]x=\dfrac{49}{15} =3.3\ cm[/tex]

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

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Point B will be located at the perimeter of the circle with a center of (5, -4) and a radius of 12.

A point or shape on a two-dimensional plane is located using a pair of integers called coordinates. A point's position on a 2D plane is indicated by two integers called the x- and y-coordinates.

Assuming that a line segment with a length of 12 units is formed by points A and B.

In addition, Point A is situated at (5,-4)

A circle's radius is the distance along a line segment from the center to any point on the circle. All radii on a circle have the same length by definition.

Point B will be situated at the edge of the circle, which has a radius of 12 and a center of (5, -4).

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Answer:

7.74 yd²

Step-by-step explanation:

Answer:

7.74 yd²

Step-by-step explanation:

The shaded area can be calculated by subtracting the area of the circle from the area of the square.

Given:

Area of the square = side length × side length

                               = 6 × 6

                               = 36 yd²

Area of the circle = πr²

                             = 3.14 × 3²

                             = 28.26 yd²

Shaded area = area of square - area of circle

                      = 36 - 28.26

                      = 7.74 yd²

Answer:

140°

........

.......

........

Step-by-step explanation:

8.

[tex] \frac{9 - 2}{3 - 9} [/tex]

[tex] \frac{7}{ - 6} [/tex]

= -7/6

Answer:

the answer is A. 2

Step-by-step explanation:

4x+2 has to be half of 2x+16

then 4x+2=10 and 2x+16=20 therefore it is correct

rate brainiest

Answer:

x = 62°

Step-by-step explanation:

Concepts:

Solving

Step 1: Combine like terms.

Step 2: Subtract 118 from both sides.

Step 3: Check if solution is correct.

Therefore, the answer is x = 62°.

The polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

To subtract polynomials from each other, take like terms together and subtract.

To find out what quantity Amir subtracted from 3x² + 8x - 16 to get x² - 4, do the following:

(3x² + 8x - 16) - (x² - 4)

Open bracket

3x² + 8x - 16 - x² + 4

Combine like terms

2x² + 8x - 12

Therefore, the polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

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The probability of selecting cheesecake and cookie is 9/100

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Total outcome = 3 + 3 + 4

Total outcome = 10

Pr(selecting cheesecake) = 3/10

Pr(selecting cookie) = 3/10

Pr(selectiing cheesecake and cookie) = 3/10 * 3/10

Pr(selectiing cheesecake and cookie) = 9/100

Hence the probability of selectiing cheesecake and cookie is 9/100

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Answer: 12.16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tom: 90 cookies total 60% were sold

Tom: 90 * 60/100 = 54 cookies

Scott: 150 cookies and 2/3 were sold

Scott: 150 * 2/3 = 300/3 = 100

Dawn: sold 46 cookies

Total Sold = 46 + 100 + 54

Total Sold = 200

Answer

Dawn: % = (46 / 200) * 100 = 23%

Answer:

the first one seems like a 90 degree rotation counter clockwise and a reflection across the y=1 line (or is it x=1 line id-k) and the second is an 180 degree rotation.

Answer:

1/6

Step-by-step explanation:

Given;

Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4?

Solve:

Six-sided die = 6

There are only one 4 in the six-sided die.

Hence, fraction = [tex]\frac{1}{6}[/tex]

~Lenvy~

Answer: I assume you want an equation so thats what ill do.

y = x(0.975)

The height of the parallelogram that has an area of (32 + √2) ft² and base of (4+√2) ft is 9(7 + 2√2) / 7 ft

area of parallelogram = bh

where

Therefore,

area = (32 + √2) ft²

base = (4+√2) ft

Therefore,

area of a parallelogram = bh

(32 + √2) = (4+√2)h

divide both sides by (4+√2)

h = (32 + √2)  / (4+√2)

h =  (32 + √2)  / (4+√2) × (4-√2) / (4-√2)

h =  (32 + √2) (4-√2) / 16 - 4√2 + 4√2 - 2

h = 128 + 32√2 + 4√2 - 2 / 14

h = 126 + 36√2 / 14 ft

h = 18(7 + 2√2) / 14 ft

h = 9(7 + 2√2)  / 7 ft

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Answer:

The answer would be A) 4

Answer:

167

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sin(A) = 5/7

Sin(A) = 0.7143

A = sin-1(0.7143

A = 45.58

B = 180 - 45.58 - 90

B =  44.43

C = 90

c = 7

a = 5

b^2 = c^2 - a^2

b^2 = 7^2 - 5^2

b^2 = 49 - 25

b^2 = 24

b = 4.899

Answer:

  no, the vertex of Function A is 6 units lower

Step-by-step explanation:

The vertex of Function A can be found several ways:

__

To put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)

We have ...

  y = 2x² +12x +10

  y = 2(x² +6x) +10

We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.

  y = 2(x² +6x +9) +10 -2(9)

  y = 2(x +3)² -8 . . . . . . simplify to vertex form

The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.

__

The axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...

  x = -12/(2(2)) = -3

The height of the vertex is the y-value for that x-value:

  y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8

This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.

__

The graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.

_____

Additional comment

Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.

Answer:

[A] (4 ÷ 2)+(0.8 ÷ 2)

Step-by-step explanation:

Divide the 2 into each digit, which must be in the same spot it was before:

Knowing that 8 in 4.8 ⇒ 0.8

Thus, you can infer that [B] is wrong

You also infer that [D]  and [C] is wrong because 4 is a whole number.

Thus, that left us with [A] 4 ÷ 2+0.8 ÷ 2 which shows the quotient of 4.8 ÷ 2

Hence, [A] 4 ÷ 2+0.8 ÷ 2 is the answer.

~Learn with Lenvy~

Answer:

Option A

Simplification:

[tex]\rightarrow (4 + 0.8) \div 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{4.8 can also be written as 4 + 0.8}][/tex]

[tex]\rightarrow \dfrac{(4 + 0.8)}{2} = \dfrac{4 + 0.8}{2}[/tex]

[tex]\rightarrow \dfrac{4}{2} + \dfrac{0.8}{2}[/tex]

[tex]\rightarrow (4 \div 2) + (0.8 \div 2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[Option A}}][/tex]

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

The given parameters are:

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

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Based on the amount that Noel cashed in each of her most recent paychecks, the amount she spent in total is $10.99.

The bank directory shows that you are charged 1.99% of the amount being cashed as well as a check processing fee of $1.39.

The amount Noel spent is therefore:

= (1.99% x 100.53) + (1.99% x 119.38) + (1.99% x 122.52) + (1.39 x 3 checks)

= 2.00 + 2.38 + 2.44 + 4.17

= $10.99

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Answer add all the numbers  both sides then you put them in a caculator and what you do is put all the numbers you have in the question in the caculator and yur done

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. $0.08

Step-by-step explanation:

I would find out the total price of potatoes for each person:

Sofia: $0.85 x 3.8lb = $3.23

Flynn: $0.75 x 4.2lb = $3.15

To get the final answer, I would subtract to find the difference between the two prices.

$3.23 - $3.15 = $0.08

Answer:

$3

Step-by-step explanation:

You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.

15 pounds of bird seeds store B for $19.50 is $1.30 per pound.

At store A = 20 * $1.15 = $23

At store B = 20 * $1.30 = $26

So, 26 - 23 = 3

Answer:

You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Step-by-step explanation:

Given:

You can buy 10 pounds of birdseed at Store A for $11.50

10 pounds – $11.50

[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]

1 pound – $1.15

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.15 = $23

20 pounds = $23

Your friend buys 15 pounds of birdseed at Store B for $19.50

15 pounds – $19.50

[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]

1 pound – $1.3

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.3 = $26

20 pounds = $26

Now we compare each stores value for 20 pounds of bird seeds:

$23 < $26

The store with the better deal is: Store A

So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Answer:

379.94

Step-by-step explanation:

A = πr²

A = 3.14(11 in.)²

A = 3.14(121 in²)

A = 379.94 in.²

Multiply both sides by 15.

s = 0.88 * 15 = 13.2 (use calculator)

Answer:

13.2

Step-by-step explanation:

just multipply 15 by 0.88 to get 13.2

The amount of money that you will need to pay them back after the 6 months is $2,070.

Given the following data:

Interest rate = 7% = 0.07.

Simple interest = $2000.

Time = 6 months.

Conversion:

12 months = 1 year.

6 months = 0.5 year.

Mathematically, simple interest is given by this formula:

[tex]I=PRT[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]I=2000 \times 0.07 \times 0.5[/tex]

I = $70.

Amount to be paid;

[tex]A=I+P\\\\\A=70+2000[/tex]

A = $2,070.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{} = \sqrt{ 18}[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 3 \sqrt{2} [/tex]

Therefore, the correct choice will be A