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2 years ago

Is Triangle B a rotation of Triangle A? Explain how you know.

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

5 0

Answer:

where is the figure

Step-by-step explanation:

You might be interested in

if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val

Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by $P(1+\frac{r}{n})^{nt}$

Thus, we have,

Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+0.00417)^{120}$

i.e. Investment Value = $5000\times 1.648$

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.

5 0

2 years ago

Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana

zepelin [54]

Answer:

Apple = $0.6

Banana = $0.75

Step-by-step explanation:

Let us represent Apple by A and Banana by B

For Joe,

5A + 4B = 6 (1)

For Dawn

3A + 6B = 6.3 (2)

To eliminate A, Multiply equation (1) by 3 and equation (2) by 5

15A + 12B = 18 (3)

15A + 30B = 31.5 (4)

subtracting equation (4) from (3)

15A - 15A +12B - 30B = 18 - 31.5

-18B = -13.5

divide through by -18

-18B/-18 = -13.5/-18

B = 0.75

substitute 0.75 in equation (1)

5A + 4B = 6

5A + 4(0.75) = 6

5A + 3 = 6

subtract 3 from both sides

5A + 3 - 3 = 6 - 3

5A = 3

divide through by 5

5A/5 = 3/5

A = 0.6

4 0

2 years ago

Nth term sequences, please may I get some help. 15 p.

Dovator [93]

Answer:

$(n+2)^2+6$

Step-by-step explanation:

Pattern 1 consists of

$3+3\times 3+3$ small squares (here n = 1 and $3\times 3=(1+2)\times (1+2)$ ).

Pattern 2 consists of

$3+4\times 4+3$ small squares (here n = 2 and $4\times 4=(2+2)\times (2+2)$ ).

Pattern 3 consists of

$3+5\times 5+3$ small squares (here n = 3 and $5\times 5=(3+2)\times (3+2)$ ).

Thus, pattern n consists of

$3+(n+2)\times (n+2)+3=6+(n+2)^2$ small squares.

3 0

2 years ago

Which expression can be used to find 532 divided by 4?

user100 [1]

C: (500 divided by 4)+(30 divided by 4)+2

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 532 ÷ 4 in expanded notation form is (500 divided by 4)+(30 divided by 4)+2

4 0

1 year ago

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Ipatiy [6.2K]

Answer:

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

Step-by-step explanation:

$2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\$

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

3 0

2 years ago