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3 years ago

Hurryyyyyy!!! which expression is equivalent to 7(1+3)? a.1+21b.7+21c 7+3d.7+4

Mathematics

1 answer:

n200080 [17]3 years ago

4 0

Answer:

b. 7+21

Step-by-step explanation:

If you do 1+3=4 and then 4 times 7 that equals 28. When you do 7+21 that equals 28 too. So b is the answer

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Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

allochka39001 [22]

Answer:

The answer to each question is:

A.) 403.2 $cm^{2}$
B.) 100. 8 $cm^{2}$

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * $\frac{2+\sqrt{3}}{2}$

If we replace the value of the edge, we obtain:

Apothem = 6 cm * $\frac{2+\sqrt{3}}{2}$
Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edge
Area of a dodecagon = 6 * 11.2 cm * 6 cm
Area of a dodecagon = 403.2 $cm^{2}$

Then, the area of the dodecagon is 403.2 $cm^{2}$ approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 $cm^{2}$
3 pieces = X

Then:

X = (3 * 403.2 $cm^{2}$ ) / 12
X = 1209.6 $cm^{2}$ / 12
X = 100. 8 $cm^{2}$

In this form, when the cookie has 3 pieces, its area is 100. 8 $cm^{2}$ approximately.

5 0

3 years ago

The results of a poll show that the percent of people who want a new restaurant is in the interval (62%, 88%)(62%, 88%) . There

xenn [34]

Required percentage = (0.62 x 109482, 0.88 x 109,482) = (67879, 96,344)

5 0

2 years ago

Read 2 more answers

The art teacher is buying new tables to go in the art room. Each table can seat 4 students. The art class has 30 students. How m

bezimeni [28]

Answer:

T = 7.5

Step-by-step explanation:

One table = 4 students

? table = 30 students

To get the answer we criss-cross

30 * 1 = 4T(amount of table)

4T = 30

T = 30/4

T = 7.5

There should be 8 tables but the last table has 2 people sitting on it rather than 4.

5 0

2 years ago

Solve the system of linear equations by substitution. 8x−13y=0 12x+3=y

kogti [31]

X=-0.61 and Y is 4 is I did my math right

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3 years ago

Write a polynomial function in standard form given the zeros. -1/2, -5 + i

Rama09 [41]

Answer:

y = x³ + 10.5x² + 31x + 13

Step-by-step explanation:

Complex roots (roots that have imaginary terms) always come in conjugate pairs. So if one root is -5 + i, there's another root that's -5 − i.

So the polynomial is:

y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))

Distributing:

y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)

y = (x + 1/2) (x² + 10x + 25 + 1)

y = (x + 1/2) (x² + 10x + 26)

y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)

y = x³ + 10x² + 26x + 1/2x² + 5x + 13

y = x³ + 10.5x² + 31x + 13

8 0

3 years ago