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3 years ago

9

45min/hour = ___ ft/seconds

1 answer:

emmasim [6.3K]3 years ago

6 0

The answer to your question is 45 miles / 1 hour * 5280 feet / 1 mile * 1 hour / 3660 seconds = 45 * 5280 * 1 / 1 * 1 * 3660 = 2737600 feet / 3660 second = 64.918

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Please answer correctly thank you!

Nina [5.8K]

If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.

Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.

The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.

X = 180 - 61 - 61 = 58 degrees.

5 0

3 years ago

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

Tori ran 4/5 Mile in 1/5 hour. write an equation for the distance in miles Y that she ran in X hours if she ran at a constant ra

nirvana33 [79]

Answer:

$y=4x$

Step-by-step explanation:

Let

y ----> the distance in miles

x ----> the time in hours

using proportion

$\frac{y}{x}=\frac{(4/5)}{(1/5)}$

Simplify

$\frac{y}{x}=\frac{4}{1}$

$y=4x$

This is a linear direct variation

The unit rate or speed is the slope of the linear equation

The unit rate is 4 miles/hour

6 0

2 years ago

Can you solve this? Please ( 15+ points)

Vera_Pavlovna [14]

Answer:

112+24x

Step-by-step explanation:

2(16+(10*4)+(x*12))

solve the inner bracket

2(16+40+12x)

solve this bracket

2(56+12x)

solve this now

112+24x

6 0

2 years ago

Read 2 more answers

Jan uses 6 grams of tea leaves to make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea

Reil [10]

Hello!

288 / 24 = 12

6 * 12 = 72

Jan used 72 grams of tea leaves to make tea.

4 0

3 years ago