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3 years ago

Using mapping notation to describe a translation up 8 units.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

3 0

The answer would be “b” because in translations when the question says up it’s referring to y

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How can I solve the statement below?

QveST [7]

9514 1404 393

Answer:

A ≈ 65.4°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations associated with pairs of sides. For angle A, given sides b and c are the adjacent side and the hypotenuse, respectively. The appropriate relation is ...

Cos = Adjacent/Hypotenuse

cos(A) = b/c

A = arccos(b/c) = arccos(2.5/6)

A ≈ 65.4°

6 0

3 years ago

If $5000 is invested at a rate of 3% interest compounded quarterly, what is the value of the investment in 5 years?

denis23 [38]

Answer: $3000

Step-by-step explanation:

$5000 x .03 = $150

$150 x 4(quarters) = $600

$600 x 5(years) = $3000

4 0

3 years ago

How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?

erastovalidia [21]

Find total number of integers.

$a_1=10,a_n=60,d=1 \\a_n=a_1+(n-1)d \\60=10+(n-1)1 \\n-1=50 \\n=51$

Find how many integers is divisible by 2.

$a_1=10,a_n=60,d=2
\\a_n=a_1+(n-1)d
\\60=10+(n-1)2
\\2(n-1)=50
\\n-1=25
\\n=26$

Eliminate even numbers.

11, 13, 15,..., 57, 59

This array contains 51 - 26 = 25 numbers.

Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.

15, 17, 19,..., 55, 57

This array contains 25 - 3 = 22 numbers.

Now we should eliminate numbers divisible by 3: 15, 21, 27...

$a_1=15,a_n=57,d=6,n=?
\\a_n=a_1+(n-1)d
\\57=15+(n-1)6
\\6(n-1)=42
\\n-1=7
\\n=8$

There are 8 such numbers.

Therefore, there are 25 - 8 = 17 numbers that <span>can be evenly divided by neither 2 nor 3</span>

6 0

3 years ago

Suppose A = {1, 7, 13, 17, 21, 25} and B = {7, ,14, 21, 28, 35, 42}. What is A∩B?

Lubov Fominskaja [6]

$A\cap B=\{7,21\}$

8 0

3 years ago

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.

navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

hypothenuse = x
adjacent = 11.2
opposite = 16

<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

$x^2 = y^2 + z^2\\$

Let's substitute the values and solve for the missing side

$x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53$

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

6 0

2 years ago