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3 years ago

5

What is the easiest to understand formula for solving 30 60 90 special right triangles?

1 answer:

Marianna [84]3 years ago

7 0

Step-by-step explanation:

30°, 60°, 90° triangle theorem states that:

Lengths of the side opposite to 60° angle is equal to root 3 upon two times of the length of hypotenuse and side opposite to 30° angle is equal to 1 upon two times of the length of hypotenuse.

Mathematically it can be expressed as:

$Length \: of \: sides \: opposite \: to \: 60 \degree \: \\ angle \\ = \frac{ \sqrt{3} }{ {2} } \times length \: of \: hypotenuse.\\\\Length \: of \: sides \: opposite \: to \: 30 \degree \: \\ angle \\ = \frac{1}{ {2} } \times length \: of \: hypotenuse.\\\\$

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PLEASE HELP I NEED ANSWER

Usimov [2.4K]

(6x-1)+20+(x+14)=180
6x-1+20+x+14=180
6x+x+20+14-1=180
7x+33=180
-33 -33
7x=147
7/7x=147/7
x=21

Measure of angle A=:
(6x-1)
6x-1
6(21)-1
126-1
125
Measure of angle A is 125°

Measure of angle C=
(x+14)
x+14
21+14
35
Measure of angle C is 35°

4 0

3 years ago

22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

Part 26) The area is equal to $A=9\pi x^6y^{2}\ units^2$

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

6 0

3 years ago

Greg budgeted carefully and by the time he turned 30 his retirement account balance was $22,000. If that amount grew at a rate o

Ratling [72]

Answer:

$618,253.61

Step-by-step explanation:

30 to 65 is 35 years

22000 × (1 + 10/100)³⁵

22000 × 1.1³⁵

618253.6107

6 0

4 years ago

Please help me!! im so close to finshing

gtnhenbr [62]

Answer:

do you want me to answer this too

Step-by-step explanation:

???

8 0

2 years ago

Similar triangles ... help?

jolli1 [7]

Answer:

The second answer

XYZ-RQS

Step-by-step explanation:

8 0

3 years ago