Answer:
it would be a
Step-by-step explanation:
A given<u> shape</u> that is <em>bounded</em> by three <u>sides</u> and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of <u>PB</u> is 8.0 units.
A given <em>shape</em> that is <u>bounded</u> by three<em> sides</em> and has got three <em>internal angles</em> is referred to as a <u>triangl</u>e. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the<em> internal angles</em> of any <u>triangle</u> is
.
In the given question, point<u> P</u> is <u>center</u> of the given <u>triangle</u> such that <APB = <APC = <BPC =
. Such that <u>line</u> PB <em>bisects</em> <ABC into two <u>equal</u> measures of
.
Thus;
<ABP = 
Thus,
<ABP + <APB + <BAP = 
30 + 120 + <BAP = 
<BAP =
- 150
<BAP = 
Apply the <em>Sine rule</em> to determine the value of PB, such that;
= 
= 
BP = 
= 8
BP = 8.0
Therefore, the value of <u>PB</u> = 8 units.
For more clarifications on Sine rule, visit: brainly.com/question/27174058
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Answer:
15/s
Step-by-step explanation:
15 caps ÷ s = 15/s caps per swimmer
The distance formula is:

We are given two points in the form (x,y), so plug in the values to the distance formula:

Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:

The square and square root cancel each other out leaving us with 25.
The answer is 25.
Just general definitons:
a TRInomial has 3 terms (tri means three)
a BInomial has 2 terms (bi means two)
a MONOmial has 1 term (mono means one)
the degree is the highest exponent found in the algebraic expression
so they should be pretty easy to solve with that information, but just in case:
1. trinomial, degree of 4
2. binomial, degree of 3
3. monomial, degree of 2
for the final question, all you have to do is plug in 2 for x, so
(2)^2 - 2(2) + 1
4 - 4 + 1
so the answer is 1