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3 years ago

This table represents a quadratic function.

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer: D

Step-by-step explanation:

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Find C.

nasty-shy [4]

Answer:

$C=69.1^{\circ}$

Step-by-step explanation:

The Law of Cosines is given as:

$c^2=a^2+b^2-2ab\cos C$ .

Plugging in given values, we get:

$16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}$ .

3 0

3 years ago

On a farm the number of cows and the number of sheep are in the tatio 6:5 the number of sheep and the number of pigs are in the

Rzqust [24]

Answer:

There are 70 sheep in the farm.

Step-by-step explanation:

Consider the provided information.

Let c represents the cows, s represents the sheep and p represents the pigs.

The number of cows and the number of sheep are in the ratio 6:5.

$\dfrac{c}{s} =\dfrac{6}{5}$

$c =\dfrac{6s}{5}$

The number of sheep and the number of pigs are in the ratio 2:1.

$\dfrac{s}{p} =\dfrac{2}{1}$

$p =\dfrac{s}{2}$

The total number is 189.

$c+s+p=189$

Substitute the value of c and p in above.

$\dfrac{6s}{5}+s+\dfrac{s}{2}=189$

$\dfrac{12s+10s+5s}{10}=189$

$27s=1890$

$s=70$

Hence, there are 70 sheep in the farm.

8 0

3 years ago

What are the vertical and horizontal asymptotes for the function

mylen [45]

Answer:

Step-by-step explanation:

8 0

3 years ago

In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is

Virty [35]

Answer:

It would be rounded to $5.90 per gallon. As if something is 5 or above you round up and if it is 4 or less you round down.

8 0

3 years ago

The prism shown has a volume of 35cm³. Work out the height of the triangular cross section. The length going back is 7cm and the

Gre4nikov [31]

Answer:

2.5 cm

Step-by-step explanation:

The volume of a triangular prism is cross section × length.

The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.

4 × h × 1/2 × 7 = 35

14h = 35

h = 35/14

h = 5/2

The height of the triangular cross section is 2.5 cm.

3 0

4 years ago