The answer is: "
" .<span>
______________________________________________________Explanation:______________________________________________________Note: tan z = (sin z/ cos z) ;
tan z = (4/5) / (3/5) ;
= </span>
*
; <span>
Note: Both of the "5 ' s" cancel out to "1" ; since: "{5 ÷ 5 = 1 }" ;
And we rewrite as:
</span>→ "
*
" ;
= 
;
<span>
= " </span>
" .
<span>
_______________________________________________________The answer is: " </span>
" .
_______________________________________________________
#5. looks fine.
The roots are { +√(6) , -√(6) , -2, 2 }
#6. 12x³ + 26x² - 10x
factor out 2x
2x(6x² + 13x - 5) = 0
one root is zero
factor for other two roots, only 5×1 = 5
(3x-1)(2x+5)
3x - 1 = 0
3x = 1
x = 1/3
2x + 5 = 0
2x = -5
x = -5/2
roots are { 0, 1/3, -5/2 }
EDIT** forgot #7
#7. 125x³ + 8 = 0
125x³ = -8
x³ = -8/125
x = ∛(-8/125)
root of a fraction is the root of the numerator and denominator, negative can be on either numerator or denominator. overall fraction should be negative to subtract from the 8 to give zero.
∛(-8) = +/- 2
∛(125) = 5
root { -2/5 }
Answer:
9 2/3*4 1/5*1 1/4=50 3/4 in^3
Answer:
the present value is 3,162 euros
Step-by-step explanation:
The computation of the present value is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
3,200 euros = Present value × (1 + 0.012)^1
3,200 euros = Present value × 1.012^1
Present value is
= 3,200 euros ÷ 1.012
= 3,162 euros
Hence, the present value is 3,162 euros
There are a total of five theorems congruent triangles. They are summarized as:
<h3>What are the definitions of the Theorems of Congruent Triangles?</h3>
SAS - Side Angle Side
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
SSS - Side Side Side Rule
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.
AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.
ASA - Angle Side Angle rule
According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.
RHS - Right Angle- Hypotenuse side Rule
According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.
Learn more about theorems of congruent triangles at:
brainly.com/question/2102943
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