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Scorpion4ik [409]
4 years ago
12

Expand and simplify 2(y+5)+5(2-3y)

Mathematics
1 answer:
tino4ka555 [31]4 years ago
5 0

Answer:

-13y+20

Step-by-step explanation:

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Answer:

positive slope

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3 years ago
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Given: △ABC, AB=5 sqrt 2 m∠A=45°, m∠C=30° Find: BC and AC will give brainliest!!! By the way the answer is not 5 and 3.66
Makovka662 [10]

Answer:

Therefore,

BC=a=10\ units\\\\AC=b=13.66\ units

Step-by-step explanation:

Consider a Δ ABC with

m∠ A = 45°

m∠ C = 30°

AB = c = 5√2

To Find:

BC = a = ?

AC = c = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

\angle A+\angle B+\angle C=180\\\\45+30+\angle B=180\\\ttherefore m\angle B =180-75=105\°

We know in a Triangle Sine Rule Says that,

In Δ ABC,

\frac{a}{\sin A}= \frac{b}{\sin B}= \frac{c}{\sin C}

substituting the given values we get

\frac{a}{\sin 45}= \frac{b}{\sin 105}= \frac{5\sqrt{2} }{\sin 30}

∴ \frac{a}{\sin 45}= \frac{5\sqrt{2} }{\sin 30}\\\\a=\sin 45\times \frac{5\sqrt{2} }{\sin 30}\\\\a=\frac{1}{\sqrt{2} }\times \frac{5\sqrt{2} }{0.5} \\\\\\a=\frac{5}{0.5} =10\\\therefore BC = a = 10\ units

Similarly for 'b',

\frac{b}{\sin 105}= \frac{5\sqrt{2} }{\sin 30}\\\frac{b}{0.9659}= \frac{5\sqrt{2} }{0.5}\\\\b=0.9659\times \frac{5\sqrt{2} }{0.5}\\\\b=\frac{6.8301}{0.5} \\\\b=13.66\\\therefore AC = b =13.66\ units\\

Therefore,

BC=a=10\ units\\\\AC=b=13.66\ units

8 0
3 years ago
X + 5y = 8<br> -x + 2y = -1<br> How is this solved?
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Add both the equations together to eliminate x

x+5y=8
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7y=7
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Now fill in y into the original equation

x+5(1)=8
x+5=8
x=3

Now you can check by filling x and y into the second equation.

-(3)+2(1)=-1
-3+2=-1
-1=-1

So your answer will be (3, 1)

Brainliest my answer if it helps you out?
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3 years ago
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3 years ago
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