All categories

3 years ago

0.180 is the same rotation as ? A 0, 90 B 0, -180 C 90, 180 D -90, 180

Mathematics

1 answer:

Andre45 [30]3 years ago

7 0

Answer:

Step-by-Step Explanation:

Think of it this way remove the decimal and then look at that number what the number is thats the number of degrees in the rotation.

You might be interested in

The third term of the sequence is 120. The fifth term is 76.8 The explicit rule for the geometric sequence is an=?(?)n-1

gulaghasi [49]

Answer:

The explicit rule of the geometric sequence

aₙ = 187.5 (0.8)ⁿ⁻¹

Step-by-step explanation:

Step(i):-

Given that the third term of the sequence = 120

tₙ = a rⁿ⁻¹

t₃ = a r³⁻¹ = ar²

120 = ar² ..(i)

Given that the fifth term of the given geometric sequence = 76.8

tₙ = a rⁿ⁻¹

t₅ = a r⁵⁻¹ = a r⁴

76.8 = a r⁴...(ii)

Step(ii):-

Dividing (ii) and (i)

$\frac{ar^{4} }{ar^{2} } = \frac{76.8}{120}$

r² = 0.64

r =√ 0.64 = 0.8

Substitute r= 0.8 in equation (i)

120 = ar²

120 = a(0.8)²

⇒ $a = \frac{120}{0.64} =187.5$

Step(iii):-

The explicit rule of the geometric sequence

aₙ = a rⁿ⁻¹

put a= 187.5 and r = 0.8

aₙ = 187.5 (0.8)ⁿ⁻¹

7 0

3 years ago

Which expression represents a number that is four times as large as the sum of 8 and 160?

DedPeter [7]

ANSWER: x = 4 ( 8 + 160 )

STEP BY STEP:

Let's start by getting a variable to represent the number. Let's use x. ⇩

x=

Now we know that there is a sum of 8 and 160. Let's add them to each other ⇩

x= 8 + 160

Now we know that this will be multiplied. Let's put parentheses around the addition to symbolize this.

X= (8 + 160)

Finally multiply this by four, making your equation

x= 4 (8 + 160)

I don't know the options but from looking at the problem I'm assuming the answer is
x = 4 ( 8 + 160 )

8 0

3 years ago

A survey was conducted that asked 1004 people how many books they had read in the past year. Results indicated that x overbarequ

melisa1 [442]

Answer:

Step-by-step explanation:

Given that a survey was conducted that asked 1004 people how many books they had read in the past year.

Results are:

x bar =12.5

s = 16.6

n = 1004

Std error of sample = $\frac{s}{\sqrt{n-1} } =\frac{16.6}{\sqrt{1003} }\\=0.524152\\=0.524$

Since population std dev is not known t critical value can be used for confidence interval.

df = 1004-1 =1003

t critical = 1.96

Margin of error $= 1.96(std error) =1.027$

Confidence interval lower bound $= 12.5-1.027 = 11.473$

Upper bound $= 12.5+1.027 = 13.527$

6 0

3 years ago

So I'm not good with story problems and im trying to figure this one question out. How do I format it?

sashaice [31]

Answer: $76,000

Step-by-step explanation:

State Income Tax = Salary × Income Tax Rate

3040 = Salary × 0.04

÷ 0.04 ÷0.04

76,000 = Salary

5 0

3 years ago

Marguerite is building a box from strips of wood.she needs 78 pieces of wood that are each 29 centimeters long.the wood comes in

dolphi86 [110]

Each strip is 29 cm

------------------------------------------------------
Change the m to cm
------------------------------------------------------
6 m = 600 cm

------------------------------------------------------
Find the number of strips for 1 6m-board
------------------------------------------------------
Find the number of strips that can be cut from the 6m board.

600 ÷ 29 = 20 pieces remainder 20cm

So we can only cut 20 pieces of 29 strips from one 6m board.

------------------------------------------------------
Find number of boards needed
------------------------------------------------------
70 ÷ 20 = 3.5

We need 3.5 of the 6m boards.

Since she can't have half a board, she has to buy 4 pieces of the board.

------------------------------------------------------
Answer: 4 pieces of the 6m board.
------------------------------------------------------

7 0

3 years ago