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3 years ago

I need to convert 139° 10′ to radian. In order to do that I need to multiply with π/180 and simplify. How do I do this?

Mathematics

1 answer:

kramer3 years ago

3 0

139° 10′ This is degree minutes. Convert the minutes to decimal by dividing the minutes by 60.

10/60 = 0.167

So 139° 10′ = 139.167 degrees.

Now convert to radians:

139.167 x pi/180 = 2.429 radians

The answer may be slightly different depending on the rounding of everything.

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Give the equation of the line through the point ( - 10,9) with a slope of -1/5

hichkok12 [17]

Equation of the line in slope-intercept form is y = -1/5 x + 9

Step-by-step explanation:

Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.

⇒ y = -1/5 x + b ------ (1)

Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)

⇒ 9 = -1/5 × -10 + b = 2 + b

⇒ b = 9 - 2 = 7

Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.

⇒ y = -1/5 x + 7

It can also be written as 5y + x = 35

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3 years ago

gayaneshka [121]

Step-by-step explanation:

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3 years ago

Salma made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces

IRINA_888 [86]

Answer:

$3.30

Step-by-step explanation:

2.60*6= $15.60 beads per necklace

35.40-15.60= $19.80 total pendant

19.80/6= $3.30 per pendant

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3 years ago

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lana66690 [7]

Answer:

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3 years ago

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