All categories

3 years ago

Explain how please I’m not sure

Mathematics

1 answer:

grin007 [14]3 years ago

3 0

Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

You might be interested in

In △ABC, point M is the midpoint of AC , point D∈ BM so that MD:DB=1:4. If ACMD=7 ft2, find ABDC, AAMB, and AABC.

GenaCL600 [577]

Note that

$A_{CMD}=\dfrac{1}{2}\cdot MC\cdot h=7\ sq. ft.$

Let H be the height of triangle ABC. Since $\dfrac{MD}{DB}=\dfrac{1}{2},$ then

$\dfrac{H}{h}=\dfrac{5}{1}, \\ \\H=5h.$

$A_{BDC}=A_{MBC}-A_{CMD}=\dfrac{1}{2}\cdot MC\cdot H-\dfrac{1}{2}\cdot MC\cdot h=\dfrac{1}{2}\cdot MC\cdot (5h-h)=\\ \\=4\cdot \dfrac{1}{2}\cdot MC\cdot h=4\cdot 7=28 sq. ft.$

2. M is midpoint of AC, then AM=MC.

$A_{AMB}=\dfrac{1}{2}\cdot AM\cdot H=\dfrac{1}{2}\cdot MC\cdot 5h=5\cdot \dfrac{1}{2}\cdot MC\cdot h=5\cdot 7=35\ sq. ft.$

$A_{ABC}=\dfrac{1}{2}\cdot AC\cdot H=\dfrac{1}{2}\cdot 2MC\cdot 5h=10\cdot \dfrac{1}{2}\cdot MC\cdot h=10\cdot 7=70\ sq. ft.$

Answer:

$A_{BDC}=28\ sq. ft,\ A_{AMB}=35\ sq. ft,\ A_{ABC}=70\ sq. ft.$

5 0

3 years ago

How many times further is Neptune from the Sun than Mercury is from the Sun?

julia-pushkina [17]

Hope this helps and I did not use the picture but here is what I know

Answer: Mercury's average distance from the sun is 5.791 x10e9 km. about how many times farther from the sun is Neptune than mercury? On average, Mercury is about 57,000,000 km from the sun , whereas Neptune is about 4.5*10^9 km from the sun.

5 0

3 years ago

Read 2 more answers

shawna reduced the size of a rectangle to a height of 2 inches. What is the new width of it was originally 24 inches in width an

mars1129 [50]

You can make a proportion!!
.
.
24 x
---- = ---- , where x is the width.
12 2
.
So? Cross multiply.
.
12x=48.
.
Simplify, or isolate x.
.
x = 12.
.
Hope I helped!!

8 0

4 years ago

A 9 kg bag of mangoes for $12

san4es73 [151]

If you want to know how much is one mango, you divide 9÷12 which should give you a decimal which is 0.75

I don't know if I answered your question. Hope I did.

7 0

3 years ago

A grocer sells milk chocolate at $2.60 per pound, dark chocolate at $4.40 per pound, and dark chocolate with almonds at $5.90 pe

Anon25 [30]

Answer: 15 pounds of milk chocolate, 10 pounds of dark chocolate and 25 pounds of dark chocolate with almonds is needed in the mixture.

Step-by-step explanation:

Let x represent the number of pounds of milk chocolate that would be in the mixture.

Let y represent the number of pounds of dark chocolate that would be in the mixture.

Let z represent the number of pounds of dark chocolate with almonds that would be in the mixture.

Since the mixture would be 50 pounds, it means that

x + y + z = 50- - - - - - - - - - - 1

He wants to make a mixture of 50 pounds of mixed chocolates to sell at $4.61 per pound. The total cost of the mixture would be 50 × 4.61 = $230.5. Milk chocolate would sell at $2.60 per pound, dark chocolate at $4.40 per pound, and dark chocolate with almonds at $5.90 per pound. It means that

2.6x + 4.4y + 5.9z = 230.5- - - - - - -2

The mixture is to contain as many pounds of dark chocolate with almonds as milk chocolate and dark chocolate combined. It means that

z = x + y

Substituting z = x + y into equation 1 and equation 2, it becomes

x + y + x + y = 50

2x + 2y = 50

Dividing both sides by 2, it becomes

x + y = 25

x = 25 - y- - - - - - - - - 3

2.6x + 4.4y + 5.9(x + y) = 230.5

2.6x + 4.4y + 5.9x + 5.9y = 230.5

2.6x + 5.9x + 4.4y + 5.9y = 230.5

8.5x + 10.3y = 230.5- - - - - - - - - 4

Substituting equation 3 into equation 4, it becomes

8.5(25 - y) + 10.3y = 230.5

212.5 - 8.5y + 10.3y = 230.5

- 8.5y + 10.3y = 230.5 - 212.5

1.8y = 18

y = 18/1.8

y = 10

x = 25 - y = 25 - 10

x = 15

Substituting x = 15 and y = 10 into z = x + y,

z = 15 + 10 = 25

8 0

3 years ago