7 and 1/4 divided by 5/6 as a fraction or mixed number in simplest form

1 answer:

3 0

First off, turn 7 1/4 into a mixed number, 29/4. change 29/4 / 5/6 into a multiplication question by flipping 5/6 into 6/5 (AKA multiplying by the reciprocal) so you get 29/4 X 6/5. then multiply so you get 174/20. Next, simplify into a mixed number by seeing how many times 20 goes into 174, and then putting the leftovers into a fraction, so you get 8 14/20, then simplify even further so you get 8 7/10.

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Help!! Answer !!! about to run out of time in test!!

Gemiola [76]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Here's the solution ~

Let's find the measure of hypotenuse first, by using Pythagoras theorem ;

$\qquad \sf \dashrightarrow \: h {}^{2} = {8}^{2} + {6}^{2}$

$\qquad \sf \dashrightarrow \: h {}^{2} = {36}^{} + {64}^{}$

$\qquad \sf \dashrightarrow \: h {}^{2} = 100$

$\qquad \sf \dashrightarrow \: h {}^{} = \sqrt{100}$

$\qquad \sf \dashrightarrow \: h {}^{} = {10}$

Now, let's find the asked values ~

$\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{opposite \: side}{hypotenuse}$

$\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{6}{10}$

$\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{3}{5} \: or \: 0.6 \: units$

For Cos y :

$\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{adjcant \: side}{hypotenuse}$

$\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{6}{10}$

$\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{3}{5} \: or \: 0.6 \: units$

As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.

I.e Sin x = Cos y

Hope it helps ~

3 0

2 years ago

In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.

leva [86]

Answer:
32 students

Explanation:
We are given that:
Students in the class can either speak French, German or both
15 students know French
17 students know German

Now, the maximum number in the class can be calculated by assuming that no student can speak both languages.
This means that the number of students will be the summation of those who know French only (15) and those who know German only (17)

In this case:
the maximum number of students = 15 + 17 = 32 students

Hope this helps :)

4 0

2 years ago

I need help with number 5 please

JulsSmile [24]

C(t) = $2t + $8

This tells us that the basic cost of the pizza is $8, with no toppings, and that each topping costs an additional $2.

To graph this, plot a dot at (0,$8). Now move y our pencil point 1 unit to the right and then 2 units up. Plot a dot at this new location. Now draw a straight line connection (0, $8) and this new location (which is (1, $10) ).

5 0

3 years ago

Rationalize the denominator and simplify. √6/√5-√3

Ann [662]

I hope this is useful