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OLga [1]
3 years ago
15

You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the

math mentally thanks to expanded notation and the Distributive Property.
need help!!! Answer ASAP!
Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

So 24 hours each month times 12 would be 288 hours of working out of one year.


Hope this helps!

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The diagram shows a right-angle triangle.
timurjin [86]

Answer:

Step-by-step explanation

8 0
3 years ago
Answer this question with a clear explanation to be marked as Brainiest ✨✨✨✨✨✨✨✨
Nina [5.8K]

Answer:

C

Step-by-step explanation:

A, B and D are all only a few digits long and can be expressed as the ratio of two integers, where at least one is even:

A = -6/16 = -3/8, so it's rational

B = 7.0398 = 35199/5000, so it's rational

D = 6,907 = 13814/2, therefore rational

C, on the other hand is irrational.

If we simplify the surd √8, we get 2√2. The 2's on the top and bottom can now cancel out, giving us √2, which is irrational. [There's a proof but it's kinda long].

5 0
2 years ago
Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
3 years ago
A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the school in ho
Ede4ka [16]

Solution:

we are given that

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the schoo. The order of selection does not matter.

As we know

6 teacheras can be selected out of 30 teacher in {30}_C_6 ways.

{30}_C_6=\frac{30!}{6!24!}\\
\\  {30}_C_6=\frac{25*26*27*28*29*30}{1*2*3*4*5*6}\\
\\  {30}_C_6=593775

Hence the required number of ways is 593775.

7 0
3 years ago
I Need Help On This
disa [49]

Answer:

The first blank: not equal

The 2nd blank: not right triangle (it's acute triangle)

The 3rd blank: equal

The 4th blank: it's right triangle

Step-by-step explanation:

4^2 = 3^2 + 3^2

<=> 16 = 9 + 9

<=> 16 = 18 ( nonsense)

so triangle LKJ is not right triangle

5^2 = 4^2 + 3^2

<=> 25 = 16 + 9

<=> 25 = 25 ( make sense)

so triangle ABC is right triangle

Done!! :))

6 0
3 years ago
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