1. Mark practices the piano for 2/3 of an hour, 6 times a week. How many hours does

2 answers:

8 0

Answer: 4 hours each week

Explanation: 2/3 of an hour = 40 minutes
40 times 6 = 240 minutes
240 (minutes) / 6 (hours) = 4 hours practiced each week

Hope this helps :)

mel-nik [20]1 year ago

6 0

Answer:

4 hours

Step-by-step explanation:

2/3*6/1= 12/3

12/3 simplified is 4

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stich3 [128]

Answer: " m∠SRW = 95 ° " .
________________________________________________

Since m∠TRV = 95° ;

and: ∠TRV and ∠SRW are vertical angles;

and: we are given: " m∠TRV = 95° " ;

and: vertical angles are congruent;

So, m∠TRV = m∠SRW = 95° .
_______________________________________________

4 0

3 years ago

11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)