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Daniel [21]
2 years ago
11

Fill in the blank …………………..

Mathematics
2 answers:
Mumz [18]2 years ago
6 0
So uhh I’m so sorry to tell you but I don’t know how to do math myself and I just need points so I’m answering this.. but I’m sure If you just cheat off a smart person in your class you’ll be fine. If you need any tips on how to cheat lmk I’ll gladly help
topjm [15]2 years ago
6 0

Answer:

See below ~

Step-by-step explanation:

<u>Q2</u>

  • x - 7 > 10
  • x - 7 + 7 > 10 + 7
  • x > 17

<u>Q3</u>

  • 3x ≤ 21
  • 3x/3 ≤ 21/3
  • x ≤ 7

<u>Q4</u>

  • 5a - 2 < 18
  • 5a - 2 + 2 < 18 + 2
  • 5a < 20
  • 5a/5 < 20/5
  • a < 4

<u>Q5</u>

  • 2t + 8 ≥ -4(t + 1)
  • 2t + 8 ≥ -4t - 4
  • 6t ≥ 12
  • 6t/6 ≥ 12/6
  • t ≥ 2
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3.25

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Juan has a piano recital next month.last week he practiced for 8 hours in the morning and 7 hours in the afternoon. Each practic
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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees
storchak [24]

Answer:

A=34\ units^2

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

A = 30\°\\\\B = 45\°\\\\b = 10

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

A + B + C = 180\\\\30 + 45 + C = 180

We solve the equation and thus we find the angle C.

C = 180 - 30-45\\\\C = 105

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then

\frac{sin(30)}{a}=\frac{sin(45)}{10}

\frac{sin(30)}{\frac{sin(45)}{10}}=a

a=7.071

Also

\frac{sin(105)}{c}=\frac{sin(45)}{10}

\frac{sin(105)}{\frac{sin(45)}{10}}=c

c=13.660

Finally, we use the Heron formula to calculate the triangle area

A=\sqrt{s(s-a)(s-b)(s-c)}

Where s is:

s=\frac{a+b+c}{2}

Therefore

s=\frac{7.071+10+13.660}{2}

s=15.37

A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}

A=34\ units^2

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Step-by-step explanation:

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In the basket and 12 of them are oranges what percentage of the pieces of fruit in the basket or orange show your work in the bo
notsponge [240]

Answer:

60%

Step-by-step explanation:

There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket are orange show your work in the box and circle your answer

Total oranges in the basket = 20

Number of oranges = 12

what percentage of the pieces of fruit in the basket are orange

= Number of oranges / Total pieces of fruits × 100

= 12/20 × 100

= 0.6 × 100

= 60%

Percentage of the pieces of fruit in the basket that are oranges = 60%

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