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jeka57 [31]
3 years ago
10

Rectangle ABCD has vertices A(8,5), B(8,10), C(14,10), and D(14,5). A dilation with a scale factor of 1.2 and centered at the or

igin is applied to the rectangle. Which vertex in the dilated image has coordinates of (9.6,6)?
Mathematics
1 answer:
ycow [4]3 years ago
3 0
Vertex A would be at (9.6, 6)
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The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .
katrin2010 [14]

\text{First term,}~ a = -1\\\\\text{Common ratio,}~ r = 2\\\\\text{Nth term} = ar^{n-1}=-1\cdot 2^{n-1}\\

4 0
2 years ago
Can someone help will all the problems I will mark you the brainest!
lyudmila [28]

Answer:

1. C = 29.52 inches A = 69.63 square inches

2. C = 28.26 inches A = 63.59 square inches

3. Each side of the lawn is 13 yards.

4. 7 is a rational number (\frac{14}{2}), a whole number, and an integer.

5. x = 16

6. h = 12.4

Step-by-step explanation:

1.

π = 3.14

The formula for the circumference of a circle that uses radius is C = 2πr.

C = 2 × 3.14 × 4.7 --- plug in known info

C = 29.516 inches --- solve

C = 29.52 inches

The formula for the area of a circle that uses radius is A = πr².

A = 3.14 × 4.7² --- plug in known info

A = 3.14 × 22.09 --- solve

A = 69.3626 square inches --- solve

A = 69.63 square inches

2.

The formula for the circumference of a circle that uses diameter is C = πd.

C = 3.14 × 9 --- plug in known info

C = 28.26 inches --- solve

To solve for area with the diameter, divide it by 2 and use the radius area formula.

\frac{9}{2}

r = 4.5

A = πr²

A = 3.14 × 4.5² --- plug in known info

A = 3.14 × 20.25 --- solve

A = 63.585 square inches --- solve

A = 63.59 square inches

3.

Because the lawn is square, the length and width of the lawn are equal.

Let x = the length and width.

x × x = 169 --- l × w = area of rectangle

x² = 169 --- x × x is the same as x²

x = 13 --- square root both sides to get rid of square on x

Each side of the lawn is 13 yards.

4.

√49 = 7

Rational number: a number that can be expressed as a simple fraction of 2 integers, 7 = \frac{14}{2}

Irrational number: a number that cannot be expressed as a simple fraction of 2 integers, √2

Whole number: All natural numbers, including 0, up to infinity, 0, 1, 2, 3, 4, 5...

Integer: All whole numbers and their negative counterparts -4, -3, -2, -1, 0, 1, 2, 3, 4…

7 is a rational number (\frac{14}{2}), a whole number, and an integer.

5.

We can solve for x using the Pythagorean theorem: If a triangle is right, a² + b² = c².

12² + x² = 20² --- plug in known info

144 + x² = 400 --- solve

x² = 256 --- subtract 144 from both sides

x = 16 --- square root both sides

6.

Same as problem 5, we will use the Pythagorean theorem to solve.

3² + 12² = h² --- plug in known info

9 + 144 = h² --- solve

153 = h² --- solve

h = 12.36931688 --- square root both sides

h = 12.4 --- round to nearest 10th




6 0
3 years ago
There are 7 bags. 2 bags are big. The rest are small.How many bags are small?
siniylev [52]
7-2=5
Ans: 5 bags are small.
6 0
3 years ago
Solve the expression:
Novosadov [1.4K]

Answer:

3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30

3 0
3 years ago
Oakley charged $795 to his credit card last month. What is the first minimum payment he must make? (2 points)$25.00
DaniilM [7]

Answer:

$31.80

Step-by-step explanation:

<u><em>The complete question is</em></u>

Use the details of Oakley's new credit card to answer the question that follows. APR 11.9% compounded monthly Grace Period 28 days Minimum Payment 4% of the remaining balance or $25, whichever is higher Oakley charged $795 to his credit card last month. What is the first minimum payment he must make?

step 1

Find out the 4% of the balance of $795

0.04(795)=\$31.80

so

\$31.80 >\$25

This amount is higher than $25,

therefore

The first minimum payment he must make is $31.80

4 0
3 years ago
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