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3 years ago

Find the value of the "?"

Mathematics

1 answer:

Andru [333]3 years ago

3 0

Answer:

Step-by-step explanation:

Set up ratios for 2 similar triangles:

20/28=x/x+18

Cross multiply

28x=20x+360

8x=360

x=45

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80% of what number is 15?

Kazeer [188]

15 = 80% * x

15 = 80/100 * x

15 = 8/10 * x

x = 15 * 10/8

x = 150/8

x = 18.75

<span>80% of 18.75 is </span>15<span>.</span>

3 0

3 years ago

What is the area of this composite figure?

11Alexandr11 [23.1K]

Answer:

256 cm squared

Step-by-step explanation:

Just did the Quiz, hope this helps!

4 0

3 years ago

Read 2 more answers

You accept a new job with a starting salary of $47,000. You receive a 4% raise at the start of your second year, a 5.6% raise at

Sunny_sXe [5.5K]

Answer:

1yr 47,000, 2nd yr 48,880, 3rd yr 51,617.28, 4th yr 57,346.7981 or 57,346.80

Step-by-step explanation:

1yr 47,000

2nd yr 47,000 x 4% = 48,880

3rd yr 48,880 x 5.6% = 51,617.28

4th yr 51,617.28 x 11.1% = 57,346.7981 or 57,346.80

4 0

2 years ago

What is the cost of an $8,000 car including 5½% tax?

mina [271]

Answer:

$8,440

Step-by-step explanation:

5.5% of 8,00 = 440

8,000 + 440 = 8,440

6 0

3 years ago

If a scalene triangle has its measures 4 m, 11 m and 8 m, find the largest angle.

soldier1979 [14.2K]

Answer:

129.8 approximately

Step-by-step explanation:

So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.

So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.

My math is case sensitive.

X is the angle opposite to the side x.

Law of cosines formula is:

$x^2=a^2+b^2-2ab \cos(X)$

So we are looking for X.

We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).

$11^2=4^2+8^2-2(4)(8)\cos(X)$

$121=16+64-64\cos(X)$

$121=80-64\cos(X)$

Subtract 80 on both sides:

$121-80=-64\cos(X)$

$41=-64\cos(X)$

Divide both sides by -64:

$\frac{41}{-64}=\cos(X)$

Now do the inverse of cosine of both sides or just arccos( )

[these are same thing]

$\arccos(\frac{-41}{64})=X$

Time for the calculator:

X=129.8 approximately

3 0

3 years ago