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chubhunter [2.5K]
3 years ago
5

Can someone please help me with number 18 !! :(

Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer: The last one.

Step-by-step explanation:

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The law of cosines is used to find the measure of Z.
Shtirlitz [24]

Answer:

C. Z=51^{\circ}

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

Law of cosines: c^2=a^2+b^2-2ab\cdot \text{cos}(C), where, a, b and c are sides opposite to angles A, B and C respectively.

Upon substituting our given values in law of cosines, we will get:

16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)

256=361+324-684\cdot \text{cos}(Z)

256=685-684\cdot \text{cos}(Z)

256-685=685-685-684\cdot \text{cos}(Z)

-429=-684\cdot \text{cos}(Z)

\frac{-429}{-684}=\frac{-684\cdot \text{cos}(Z)}{-684}

0.627192982456=\text{cos}(Z)

\text{cos}(Z)=0.627192982456

Now, we will use inverse cosine or arc-cos to solve for angle Z as:

Z=\text{cos}^{-1}(0.627192982456)

Z=51.1566718^{\circ}

Z\approx 51^{\circ}

Therefore, the measure of angle Z is approximately 51 degrees.

6 0
3 years ago
Read 2 more answers
Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is 5x^2 + 43x - 18, and the
tigry1 [53]
The width of the driveway is 5x-2.
The height of the carport is 6x+1.

We complete polynomial long division for both of these.  

For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x².  It goes in 5x times; we write this in the division problem above 43x.  Multiplying back through, 
5x(x+9) = 5x²+45x.  This goes below 5x²+43x.  We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier.  Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times.  This goes beside our 5x in our answer at the top.  Multiplying back through,
-2(x+9) = -2x-18.  This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.

For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³.  It will go 6x times; write this above -8x.  Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x.  Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18.  Bring down the -3.
Now we want to see how many times 8x² will go into 8x².  It goes 1 time; write this beside our 6x at the top.  Multiplying back through, 
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down.  When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.
4 0
3 years ago
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Please help will give brainliest
inessss [21]
Answer B) is the correct answer
4 0
3 years ago
What is the difference between AD and BC​
MissTica

Answer:

Jesus Christ

Have a nice day

3 0
3 years ago
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Please help 2 7/12= ¼x
Anton [14]

Answer:

Exact form: x=31/3

Decimal Form: x=10.¯ 3

Mixed Number Form: x=10 1/3

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

5 0
3 years ago
Read 2 more answers
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