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3 years ago

H E L P M E P L E A S E

Mathematics

1 answer:

Vesna [10]3 years ago

5 0

Answer:

1 if you put it togather for the first one your going to put 7

2 for the next one you are going to put 9

3.the third one you are going to put 8

4. then for the last one your going to put 10

5. you are going to put 12

6 . you are going to add 17

Step-by-step explanation:

um i think that how it go

just say thank in rate this it a hot mess

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Given: △ABC, AB=5sqrt2 <br> m∠A=45°, m∠C=30°<br> Find: BC and AC

Marysya12 [62]

BC is 10 units and AC is $5+5\sqrt{3}$ units

Step-by-step explanation:

Let us revise the sine rule

In ΔABC:

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}=\frac{AC}{sin(B)}$
AB is opposite to ∠C
BC is opposite to ∠A
AC is opposite to ∠B

Let us use this rule to solve the problem

In ΔABC:

∵ m∠A = 45°

∵ m∠C = 30°

- The sum of measures of the interior angles of a triangle is 180°

∵ m∠A + m∠B + m∠C = 180

∴ 45 + m∠B + 30 = 180

- Add the like terms

∴ m∠B + 75 = 180

- Subtract 75 from both sides

∴ m∠B = 105°

∵ $\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

∵ AB = $5\sqrt{2}$

- Substitute AB and the 3 angles in the rule above

∴ $\frac{5\sqrt{2}}{sin(30)}=\frac{BC}{sin(45)}$

- By using cross multiplication

∴ (BC) × sin(30) = $5\sqrt{2}$ × sin(45)

∵ sin(30) = 0.5 and sin(45) = $\frac{1}{\sqrt{2}}$

∴ 0.5 (BC) = 5

- Divide both sides by 0.5

∴ BC = 10 units

∵ $\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

- Substitute AB and the 3 angles in the rule above

∴ $\frac{5\sqrt{2}}{sin(30)}=\frac{AC}{sin(105)}$

- By using cross multiplication

∴ (AC) × sin(30) = $5\sqrt{2}$ × sin(105)

∵ sin(105) = $\frac{\sqrt{6}+\sqrt{2}}{4}$

∴ 0.5 (AC) = $\frac{5+5\sqrt{3}}{2}$

- Divide both sides by 0.5

∴ AC = $5+5\sqrt{3}$ units

BC is 10 units and AC is $5+5\sqrt{3}$ units

Learn more:

You can learn more about the sine rule in brainly.com/question/12985572

#LearnwithBrainly

6 0

3 years ago

WILL MARK BRAINLY IF CORRECT!

bogdanovich [222]

Answer:

Step-by-step explanation:

The given equation is

$12( - \frac{1}{6}x - \frac{2}{3}y = - 5)$

$5( \frac{2}{5} x + \frac{1}{5} y = - 9)$

When we multiply we obtain the equations:

$- 2x - 8y = - 60$

$2x + y = - 45$

We add both equations to obtain:

$- 7y = - 105$

Divide both sides by -7 to get:

$y = \frac{105}{7} = 15$

6 0

3 years ago

Given 5n² + 6n + 7 = n² - 4n : a. Find the value of the discriminant. b. State the number and type of roots/solutions/zeros.[2 r

Vika [28.1K]

$\bf 5n^2+6n+7=n^2-4n\implies 5n^2+6n+7-n^2+4n=0
\\\\\\
4n^2+10n+7=0\\\\
-------------------------------\\\\
\begin{array}{llccll}
&{{ 4}}x^2&{{ +10}}x&{{ +7}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\\\
discriminant\implies b^2-4ac=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}$

if you get a positive value, that means 2 real solutions
if you get 0, means 1 real solution only
if you get a negative value, is an imaginary root solution, same as saying no solution.

4 0

2 years ago

Graph the linear equation by any method. 2x=-4y+2 help me graph this

almond37 [142]

First give 0 value to x and find y, then give 0 value to y and find x. the values you find will be the point that is on the line. then for example give 7 to x and find y. this will be the second point and draw the line. you just have to do the first step and try the second one

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3 years ago

Without dividing or listing multiples, how can you tell if 61 is a multiple of 6?

Slav-nsk [51]

You check if it is even and that the sum of the digits is divisible by 3. That's the divisibility rule of 6.

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2 years ago

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