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kotegsom [21]
2 years ago
9

In triangle ABC, with right angle B, side AB is 18 units long and side AC is 23 units long. What is the length of side BC,

Mathematics
1 answer:
mihalych1998 [28]2 years ago
6 0

Answer:

BC ≈ 14 units

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

BC² + AB² = AC²

BC² + 18² = 23²

BC² + 324 = 529 ( subtract 324 from both sides )

BC² = 205 ( take square root of both sides )

BC = \sqrt{205} = 14.317.. ≈ 14 units ( to the nearest unit )

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melomori [17]

Answer:

26.5265

Step-by-step explanation:

<u>Confidence Interval</u>

When the population standard deviation \sigma is known, the formula for a confidence interval for a population mean \bar x is:

\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

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Calculating the confidence interval

\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}

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Or, equivalently

26.5265

6 0
3 years ago
Find the volume in cubic centimeters of a cube with a side length of 5 cm
Jobisdone [24]

Answer:

125 cm3

Step-by-step explanation:

V = l * w * h

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7 0
2 years ago
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Eduardwww [97]

Answer:

v 39 degree

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3 years ago
Share 120 in the ratio 1:5
zhuklara [117]
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5 0
3 years ago
Determine the measure of ∠Y. images attached
Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

\tan(∠Y)  =  \frac{25}{20}  \\  \tan(∠Y)  =  \frac{5}{4}  \\ ∠Y =  { \tan^{ - 1} } \frac{5}{4}  \\ ∠Y = 51.34019...

We have the final answer as

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