Answer:
She would have to work for 33 hours.
Step-by-step explanation:
239.25/7.25=33. Since we are going with hours, this would be 33.
Answer:
t^2 - 11t + 14
Step-by-step explanation:
Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.
First we have 9t^2 - 8t^2, or 1t^2.
Next, we have -17t + 6t, or -11t.
Last, we have the constant term 14.
The expression in simplified form is t^2 - 11t + 14.
30 is 20% of 150.
30/x = 20/100
30 * 100 = 20 * x
(30 * 100)/20 = x
x = 150
<h3>
Answer: Aryan spent more time exercising.</h3>
=======================================================
Explanation:
Use your calculator to convert each fraction into decimal form
2/3 = 0.67 approximately
3/4 = 0.75 exact
The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".
So 0.67 < 0.75 which leads to 2/3 < 3/4.
Aryan spent more time exercising.
--------------
We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get
3/4 - 2/3
9/12 - 8/12
(9-8)/12
1/12
Aryan spent 1/12 of an hour longer exercising compared to Naitik
1/12 hour = (1/12)*60 = 60/12 = 5 minutes
He spent 5 extra minutes exercising.
----------------
Notes:
- 2/3 hours = (2/3)*60 = 40 minutes
- 3/4 hours = (3/4)*60 = 45 minutes
- 45-40 = 5 extra minutes of exercise
Answer:
Explanation:
Use the Pythagorean theorem (
a
2
+
b
2
=
c
2
)
Lets label the right triangle such that:
a
=
12
b
=
16
c
=
x
Thus,
12
2
+
16
2
=
x
2
144
+
256
=
x
2
400
=
x
2
√
400
=
x
20
=
x
So our missing side,
c
is
20
We can now say that the sides of our triangle are
12
,
16
,
20
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful