Volume of prism B=800*6³/8³
=800*27/64
=25*27/2
=575/2
=287.5 cm³
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.
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Answer:
600,000
Step-by-step explanation:
around 620,000 so 600000 is the closest answer
The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).
<h3>Linear Function</h3>
A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
- a= the slope;
- b=the constant term that represents the y-intercept.
The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x for finding the values of y.
Thus,
- For x= -2, the value of y will be:
16*(-2)+4y=12
-32+4y=12
4y=12+32
4y=44
y=11
- For x= -1, the value of y will be:
16*(-1)+4y=12
- -16+4y=12
- 4y=12+16
- 4y=28
- y=7
- For x= 0, the value of y will be:
16*(0)+4y=12
- For x= 1, the value of y will be:
16*(1)+4y=12
- 16+4y=12
- 4y=12-16
- 4y=-4
- y= -1
- For x= 2, the value of y will be:
16*(2)+4y=12
- 32+4y=12
- 4y=12-32
- 4y=-20
- y= -5
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Answer:
43
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
(x + 3)² - 6
<em>x</em> = 4
<u>Step 2: Evaluate</u>
<em>Follow Order of Operations.</em>
- Substitute in <em>x</em> [Equation]: (4 + 3)² - 6
- (Parenthesis) Add: 7² - 6
- Exponents: 49 - 6
- Subtract: 43
