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Lana71 [14]
2 years ago
15

8. In AABC, LA is a right angle and mzB = 45°. Find BC.

Mathematics
1 answer:
Margaret [11]2 years ago
7 0

Answer:

BC = 11\sqrt{2}

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin 45° = \frac{opposite}{hypotenuse} = \frac{AC}{BC} = \frac{11}{BC} = \frac{1}{\sqrt{2} } ( cross- multiply )

BC = 11\sqrt{2}

You might be interested in
If BC = 61 and AB = 82, what is the length of AC?
Nitella [24]

Answer:

54.8

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2.

Plug the given values in to get 61^2+b^2=82^2

61^2 is 3,721 and 82^2 is 6,724.

6,724-3,721 is 3,003.

The square root of 3,003, rounded to a reasonable value, is 54.8.

The length of AC is 54.8.

4 0
3 years ago
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standar
skad [1K]

The sample standard deviation is (B) $3.16.

<h3>What is the sample standard deviation?</h3>
  • The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
  • The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
  • For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.

Therefore, the sample standard deviation is (B) $3.16.

Know more about sample standard deviation here:

brainly.com/question/475676


#SPJ4

The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

7 0
2 years ago
The sum of 32,476 and a number P is divided by 381, the quotient is 100 and remainder is zero. Find the number P.
Misha Larkins [42]

Answer:

p = 5,624

Step-by-step explanation:

(32,476 + p) / 381 = 100

multiply both sides by 381

32,476 + p = 38,100

Subtract 32476 from both sides

p = 5,624

6 0
3 years ago
How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters 6 meters​? Us
alisha [4.7K]
To find the volume of a cone, you use the formula \pi  r^{2}  \frac{h}{3}.
Radius squared would be 36 in our case and 36 times 3.14 is 113.04. 6 thirds is  also two, so multiply that by two and you would get 113.04 x 2 = 226.08. So, your answer would be 226.08 cubic meters of dirt.
7 0
3 years ago
Can someone help me with this?
algol13

Answer: x=12

Step-by-step explanation:

we know that sum of a triangle is 180 degrees

one angle is 90 degree

the sum will be 90+(2x+1)+(5x+5)=180

substract 90 from both sides

2x+1+5x+5=180-90

7x+6=90

7x=90-6

divide by 7

x=12

8 0
3 years ago
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