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3 years ago

Find the perimeter and area of each figure below.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

6 0

A) Perimeter of Trapezium = 8+5+6+15.5
= 34.5in
Area= 1/2*(a+b)*h
=1/2*(8+15.5)*4
=47in^2

B)Perimeter= 12+6+8.5
=26.5mm

Area=1/2*b*h
=1/2*12*4
=24mm^2

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What are the solutions to the equation 3x^2 + 15x = 18. Show your work.

balandron [24]

Assignment: $\bold{Solve \ Equation: \ 3x^2+15x=18}$

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Answer: $\boxed{\bold{x=1,\:x=-6}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Subtract 18 From Both Sides

$\bold{3x^2+15x-18=18-18}$

[ Step Two ] Simplify

$\bold{3x^2+15x-18=0}$

[ Step Three ] Solve With Quadratic Formula

Note: $\bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}$

$\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}$

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$\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}$

$\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}$

[ Step Four ] Combine Solutions

$\bold{x=1,\:x=-6}$

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$\bold{\rightarrow Mordancy \leftarrow}$

5 0

3 years ago

Read 2 more answers

Set 4x equal to x+30 and solve.

prisoha [69]

Answer:

x = 10

Step-by-step explanation:

1) Subtract x from both sides.

4x − x = 30

2) Simplify 4−x to 3x

3x = 30

3) Divide both sides by 3

x = $\frac{30}{3}$

4) Simplify $\frac{30}{3}$ to 10

x = 10

7 0

3 years ago

Please help AOB = ? BOC = ? BOD = ?

goldfiish [28.3K]

From the diagram, we know that it is an angle that adds up to 360

So

x+4x+2x+10+5x+50=360

Gather like terms

12x+60=360

Move sixty to the other side as a negative number

12x=300

Divide both sirs by twelve

x is equal to 25

AOB is 2x+10

Sub x in 2*25+10

AOB is 60

BOC is 5x+50

5*25+50, which is 175

BOD is x+2x+10

Which is 3x+10

Sub x

3*25+10 which is 85

:)

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3 years ago

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Evaluate the expression when q=5 and b=9. a+4b

Ierofanga [76]

Step-by-step explanation:

a = 5

b= 9

a + 4b = ?

5 + 4×9 =

5 + 36 = 41

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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3 years ago

A room is 12 m long and 8 m wide and 10 m high, find the area of the room.

Vikki [24]

Answer:

96 square meters

6 0

3 years ago