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3 years ago

In ΔFGH, the measure of ∠H=90°, GH = 3.8 feet, and FG = 8.5 feet. Find the measure of ∠F to the nearest degree.

Mathematics

2 answers:

Nastasia [14]3 years ago

6 0

Answer:

F=26.555≈27 degrees

Step-by-step explanation:

sin F = opposite/hypotenuse = 3.8/8.5

sin F = 3.8/8.5

F = sin^-1(3.8/8.5)

(3.8 is opposite of angle F, 8.5 is hypotenuse)

NikAS [45]3 years ago

6 0

Answer:

Step-by-step explanation:

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8 times the sum of a number and 26 is less than 304.

Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

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Step-by-step explanation:

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A watch cost 75.99. If the sales tax rate is 6.25 percent, what is the amount of sales tax. Plus, please show your work.

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So the watch costs 75.99 including sales tax.

The sales tax is 6.25% of the value of the watch.

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Let's calculate the sales tax...

$\frac { 106.25 }{ 100 } \cdot n=75.99\\ \\ 106.25\cdot n=7,599\\ \\ n=\frac { 7,599 }{ 106.25 }$

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