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ololo11 [35]
3 years ago
7

Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

\tan(30°)  =  \frac{12}{r}  \\  \frac{1}{ \sqrt{3} }  =  \frac{12}{r}  \\  \boxed{r = 12 \sqrt{3} }

and,

\sin(30°)  =  \frac{12}{t}  \\  \frac{1}{2}  =  \frac{12}{t} \\  \boxed{t = 24}

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One lap around an indoor track is 0.15 mile. Brett runs 9 laps around the track. What is the total distance Brett runs?
Ket [755]

Answer: Brett runs for 1.35 miles in total

Step-by-step explanation:

1 4

0.15

x 9

———

1 .35

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3 years ago
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The expedition team plan a final practice run to test the range of their communication equipment. One member travels a distance
podryga [215]

Answer:

We need to sketch the problem first.

Find the size of angle R.

One member travels a distance of 12km due north. Another team member heads 50degree east of north and travels a distance of 10km.

If se substute 50° of 180 we have

180-50=130°

The distance between the two team members is the missing side.

We know two sides and included angle, so we use the cosine rule.

A2+b2+c2-2bcCosA

= 102+122-(2x10x12xcos130°)

=100+144-(-147.08)

=100+144+147.08

=391.08

A==SQRT391.08

=19.775

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Step-by-step explanation:

Download docx
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Problem 5-8 completing the equation
Korvikt [17]

Answer:

Step-by-step explanation:

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2 years ago
A rectangular prism has a volume of 240 cubic feet. If the length is 4 feet and the width is 4 feet, what is the height of
frosja888 [35]

Answer:

Let's use the formula for the volume of a rectangular prism;

V = l · w · h

Where 'l' represents the length, 'w' stands for the width, and 'h' displays as the height. (V evidently stands for the volume)

<u>What we know:</u>

  • Volume = 240 ft
  • Length = 4 ft
  • Width = 4 ft

<u>What we need to find out:</u>

  • Height

Let's plug in what we know into the formula:

V = l · w · h

<u>240</u> = <u>4</u> · <u>4</u> · h

Now let's solve for h:-

240 = 16 · h

240 = 16h

Get rid of h's co-efficient by dividing 16 from both sides because the inverse operation of multiplication(since 16 is being multiplied by h) is division.

÷16    ÷16

Finally, you would end up with a result of:

<u>15</u> = h

Hence, the height of this prism is <u>15 feet</u>.

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2 years ago
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Determine where the function is increasing, decreasing, and constant.
joja [24]
The answer is B. Increasing: No where Decreasing: (0,1) Constant: (-2,∞)
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