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mario62 [17]
3 years ago
7

Find the sum of the measures of the interior angles of the figure.

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Step-by-step explanation:

Given figure is of HEXAGON.

the sum of the measures of the interior angles of a hexagon

=  \frac{(6 - 2) \times 180 \degree}{6}  \times 6 \\  \\ =  {4 \times 30 \degree} \times 6  \\   \\ = 720 \degree

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An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much
LiRa [457]

Answer:

V=45396.2\ cm^3

Step-by-step explanation:

Given that,

The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.

The tank is filled to 80% capacity with water.

We need to find the water needed for this tank.

The volume of cuboid is given by :

V=lbh

As it is filled to 80% capacity, so,

V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3

So, 45396.2\ cm^3 of water is needed for this tank.

5 0
2 years ago
Use the rational zero theorem to create a list of all possible rational zeroes of the function f(x) = 14x^7 - 4x^2 + 2
Bas_tet [7]

f(x) = 14x^7 - 4x^2 + 2

Use the rational zero theorem

In rational zero theorem, the rational zeros of the form +-p/q

where p is the factors of constant

and q is the factors of leading coefficient

f(x) = 14x^7 - 4x^2 + 2

In our f(x), constant is 2 and leading coefficient is 14

Factors of 2  are 1, 2

Factors of 14  are 1,2, 7, 14

Rational zeros of the form +-p/q  are

+-\frac{1,2}{1,2,7,14}

Now we separate the factors

+-\frac{1}{1}, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14},+-\frac{2}{1}, +-\frac{2}{2}, +-\frac{2}{7}, +-\frac{2}{14}

+-1, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14},+-2, +-1 , +-\frac{2}{7}, +-\frac{1}{2}

We ignore the zeros that are repeating

+-1, +-2, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14}, +-\frac{2}{7}

Option A is correct


6 0
3 years ago
Read 2 more answers
Ik rp because the i forgot the sc
Stels [109]

Answer:

Step-by-step explanation:

This is a geometric mean problem...a ratio. The geometric mean is the height of the triangle, 6. To solve:

\frac{x}{6} =\frac{6}{3} and cross multiply to solve for x:

3x = 36 so

x = 12

6 0
1 year ago
Read 2 more answers
The area of the entire figure below is 1 square unit.<br> What is the area of the striped rectangle?
Illusion [34]

Answer:

3/4 * 2/5

Step-by-step explanation:

Areas is L * W

(1/5 + 1/5) * (1/4 + 1/4 + 1/4) = 2/5 * 3/4

5 0
2 years ago
Read 2 more answers
The complementary angle of 45
Licemer1 [7]

Answer:

45°

Step-by-step explanation:

Complementary angles sum to 90°, thus

90° - 45° = 45° ← is the complement of 45°

4 0
3 years ago
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