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dsp73
3 years ago
15

What is the length of line segment BC?​

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

d. 10.53 units

Step-by-step explanation:

This question could be answered by Pythagoras Theorem which is :

a^{2} +b^{2} =c^{2} In every triangle c is always the hypotenuse ( which is the longest line in the triangle/ the line where the right angle sign is pointing to )

a or b could be either one of the other lines of the triangle it doesn't matter.

First you find AC which is simply by adding the two 5.2 values which is 10.4 units.

BC can be written as b in our Pythagoras equation and if you first substitute it you will have:

10.4^{2} + b^{2} = 14.8^{2}

To find b you rearrange everything to the other side except b

b=\sqrt{14.8^{2}-10.4^{2}  }

And if you type that in the calculator you get

BC= 10.53 units (2 decimal place)

Hope it is right, and ask any questions if unsure :)))

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945*134=126630

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40.82 divided by 13 please answer quick
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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the GCF of the monomials 27x^2 and 81x^5.
Rudiy27
27x² and 81x⁵

81 = 27*3
x⁵ = x²x³

81x⁵ = 27*3*x²x³= (27x²)*3x³

We can see that 81x⁵=(27x²)*3x³ includes as a factor 27x²,
so GCF is 27x².
5 0
4 years ago
How can you tell if the solution is one value,all real numbers,or no solutions
zysi [14]
One value: would be a single valued function, or just one answer.

Real numbers would be: natural numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.

No solution: there is no answer to the question.
8 0
3 years ago
How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi
Sphinxa [80]

The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

<u>Solution:</u>

Given, a right triangle with A, B, and C.  

Opposite side = 70 inches  

Hypotenuse = 12 feet = 12 \times 12 inches = 144 inches

Adjacent side = "x" inches.  

We are not given angle, so we have to use the hypotenuse theorem

Hypotenuse theorem  means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}

Substituting the values we get,

\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}

So, the adjacent side value is 125.8 inches approximately.

Hence the steps to find adjacent side is shown above

Now let us find cos, sin and tan

\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}

By substituting the required values, we can find cos, sin and tan

\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}

5 0
3 years ago
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