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4 years ago

Now it gets harder here’s the headaches

Mathematics

1 answer:

harina [27]4 years ago

5 0

Hello!

Since the denominator of both fractions is equivalent, you can simplify both of the fraction's numerator.

5a² - 6 + -6a² + 3

-a² - 3

Then, you can factor out a negative one from the numerator.

-(a² + 3)

Therefore, your final answer is $-\frac{a^{2}+3}{b^{2}+1}$ .

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Determine the area of a triangle with A=27.8 B = 107.3 c=4<br><br><br> Answer: B) 10 units^2

Mila [183]

Correct question:

Determine the area of a triangle with A=27.8° B = 107.3° c=4

Answer:

Area of the triangle is 5.04 units²

Step-by-step explanation:

Given;

A = 27.8°

B = 107.3°

C = 180 - (27.8 + 107.3) = 44.9°

c = 4

Now, we determine the remaining two sides of the triangle using sine rule

$\frac{Sine \ A}{a} = \frac{Sine \ C}{c} \\\\a = \frac{Sine A*\ c}{Sine C} = \frac{Sine(27.8) \ *4}{Sine(44.9) } =2.64\\\\\frac{Sine \ B}{b} = \frac{Sine \ C}{c}\\\\b= \frac{Sine B*\ c}{Sine C} = \frac{Sine(107.3) \ *4}{Sine(44.9) } =5.41$

Apply Hero's formula;

$A = \sqrt{s(s-a)(s-b)(s-c)} \\\\s = \frac{a+b+c}{2} = \frac{2.64\ +\ 5.41\ +\ 4}{2} = 6.025\\\\A = \sqrt{6.025(6.025-2.64)(6.025-5.41)(6.025-4)} \\\\A = \sqrt{6.025(3.385)(0.615)(2.025)} \\\\A = \sqrt{25.3989} = 5.04 \ units^2$

Therefore, area of the triangle is 5.04 units²

5 0

4 years ago

How do I solve this?

Mrrafil [7]

Answer:

I have labeled the ordered pairs on the diagram below, hope this helps :)

7 0

3 years ago

Three students were lined up in a row. Lucas was to the left of Fatima, but not necessarily next to her. The student wearing the

kirill [66]

Answer:

Benjamin then student wearing black t-shirt then the student wearing white then who wear blue then lucas then fatima

Step-by-step explanation:

where fatima is the first one then the others beside her one by one

5 0

3 years ago

Which of these are the intercepts of the graph of y = 3x – 12?

charle [14.2K]

Y intercept is (0,-12), the x-intercept is (4,0)

5 0

4 years ago

Read 2 more answers

Please help!

egoroff_w [7]

Answer:

see explanation

Step-by-step explanation:

The diagonals of a kite are perpendicular to each other, hence

∠EHF = 90°

The sum of the 3 angles in a triangle = 180°

In ΔEHF

∠1 + ∠2 + 90 = 180, that is

42 + ∠2 + 90 = 180

132 + ∠2 = 180 ( subtract 132 from both sides )

∠2 = 48°

DE and DG are congruent sides, hence

4x - 2 = 22.5 ( add 2 to both sides )

4x = 24.5 ( divide both sides by 4 )

x = 6.125

∠A and ∠C are congruent, hence

∠A = ∠C = 82°

The sum of the interior angles of a kite = 360°, hence

x = 360 - (82 + 82 + 140) = 360 - 304 = 56

4 0

3 years ago