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IgorLugansk [536]
3 years ago
15

jim is selling greeting cards at a booth at a folk fair. he will be paid $12 plus $2 for each box that he sells how many boxes m

ust he sell in order to make at least $42
Mathematics
2 answers:
3241004551 [841]3 years ago
8 0

Answer: 3 boxes

Step-by-step explanation:

If each box is 12, 3 Times 12 is 36 plus the 2 for each box gives you 42

poizon [28]3 years ago
7 0

Answer:

3 boxes because each box will make him 14 so 14 × 3 = $42

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Step-by-step explanation:

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3 years ago
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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

3 0
3 years ago
Which angle corresponds to the angle?
babunello [35]

9514 1404 393

Answer:

  C

Step-by-step explanation:

Corresponding angles are listed in the same order in the mapping statement.

C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.

  angle C' corresponds to angle C

4 0
3 years ago
If f(x) = 3x² tlo, what is f(-7)?
tia_tia [17]

Answer:

Step-by-step explanation:

Be careful how you handle this.

f(-7) = 3(-7)^2

f(-7) = 3* 49     Notice the minus sign disappears. That's because there are 2 of them.

f(-7) = 147

4 0
3 years ago
Calculate the area of the shape below.
Vsevolod [243]

Answer:

24ft²

Step-by-step explanation:

divide up the shape:

big triangle:

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b  = 8.95ft

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small triangle:

(looking for base)

12-8.95=3.05ft

(finding area)

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Whole Shape:

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3 0
3 years ago
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