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4 years ago

What is the simplified form of the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5?

Mathematics

1 answer:

sammy [17]4 years ago

7 0

The answer is
4
--
5

Your answer will be the quantity of 4 over 5

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.

Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m + 40 m + c = 120 m

61 m + c = 120 m

c = 120 m - 61 m

c = 59 m

↓ ↓

A → → → → → → → → → → → C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

$a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0$

Angle B is calculated as follows;

$Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0$

Angle C is calculated as follows;

$Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0$

Therefore, the largest angle of the field is 149⁰.

8 0

3 years ago

O GRAPHIS,

bezimeni [28]

Answer:

y = 3x - 16

Step-by-step explanation:

I just graphed the slope and went down 3 over to the left 1 and I found 16 was the intercept

3 0

3 years ago

X^2+25 A.(x+5)(x+5) B.(x+5)(x-5) C.(x-5)(x/5) D.prime

adell [148]

It’s prime because none of the other answers work.

8 0

3 years ago

What is the volume of a shipping cube with dimensions of 2 and 1/2 feet

Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

$V = l ^ 3$

Where:

l: It's the side of the cube

According to the statement data:

$l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}$

Substituting in the formula we have:

$V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625$

Thus, the shipping cube volume is $15.625 \ ft ^ 3$

Answer:

$15.625 \ ft ^ 3$

6 0

4 years ago

A pizza parlor offers thin, thick, and traditional style pizza crusts. You can get pepperoni, beef, mushrooms, olives, or pepper

elena55 [62]

I think there are 12 possible outcomes in the sample space. Because if you put one crust with one topping for each crust and topping it equals up to 12.

6 0

3 years ago