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olasank [31]
3 years ago
5

In the triangle below, what is the length of the side opposite the 30 degree angle?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

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Find the two Z-scores that separate the middle 73.72% on the Standard Normal Curve.
leonid [27]

Answer:

+1.12 and -1.12

Step-by-step explanation:

Let the two z scores be -z_1and+z_1.

Since  the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:

P(-z_1

From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.

The two z scores are +1.12 and -1.12 = ± 1.12

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3 years ago
What’s an equation for<br> Five times a number
aalyn [17]

Answer: 5 x ?

Step-by-step explanation:

7 0
3 years ago
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Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and
Gala2k [10]
Step 1
find the perimeter of a <span>single enclosure
perimeter of a square=4*b
where b is the long side of a square
area square=b</span>²
area square=2025 ft²
b²=2025-------> b=√2025-----> b=45 ft
<span>so
perimeter=4*45-------> 180 ft

step 2
</span>find the perimeter of a two individual enclosure
<span>perimeter=4*20+3*40------> 200 ft
area=20*40*2------> 1600 ft</span>²
<span>
therefore
fencing singular enclosure < fencing two individual enclosure
180 ft < 200 ft

</span>area singular enclosure > area two individual enclosure
2025 ft² > 1600 ft²<span>

the answer is the option
</span><span>a The singular enclosure would minimize cost because it requires 180 feet of fencing.</span><span>

</span>
5 0
3 years ago
Read 2 more answers
What is 8% of 37...........
docker41 [41]

Answer:

2.96

Explanation:

37/x=100/8

(37/x)*x=(100/8)*x       - we multiply both sides of the equation by x

37=12.5*x       - we divide both sides of the equation by (12.5) to get x

37/12.5=x  

2.96=x  

x=2.96

7 0
3 years ago
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To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
docker41 [41]

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

5 0
3 years ago
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