The approximate value of x will be approximately equal to 3.4
<h3>Area of triangle and circle</h3>
The formula for calculating area of rectangle is expressed as:
A = lw
- l is the length
- w is the width
Ar = (3x-1)(x+2)
Ar = 3x^2+6x-x-2
Ar = 3x^2 + 5x - 2
For the circle
Ac = πr²
Ac = 3.14(x-3)²
Ac = 3.14(x²-6x+9)
Ac = 3.14x² - 18.84x + 28.26
If the area are equal;
3x² + 5x - 2 = 3.14x² - 18.84x + 28.26
3.14x² - 3x² - 5x - 18.84x + 30.26 = 0
0.14x²-23.84x+30.26 = 0
On factorizing the equation, the approximate value of x will be approximately equal to 3.4
Learn more on area of rectangle here; brainly.com/question/25292087
QP=24 cm
RS=11.25 cm
QS=18.75 cm
<u>Explanation</u>:
Given that TQ bisects <RTP
(1)
consider ΔRQS and ΔRPT
QS||PT,RP and RT are transversals
(alternate angles)(2)
comparing (1) and (2)
and triangle SQT is isocelus
Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)
Therefore <RQS=<RPT(corresponding angles)
<RSQ=<RTP(corresponding angles)
therefore by AA criterion for similarity
ΔRQS~ΔRPT
According to the property of similar triangles
For the answer to the question above,
<span>Let's figure out the formula first
FV = PV(1+i/n)^(nt)
9762= 9000(1+0.12/12)^(12x)
9762= 9000(1.01)^12x
9762/9000=1.01^12x
1.08467=1.01^12x
ln1.08467/12 x ln1.01=0.681 years (8.17 months) same as my calculator
So,
0.681x360=
245.16 days is</span><span> the time period</span>
The answer would be 1/3 up 1 over 3.
Answer:
50 pounds
Step-by-step explanation:
Dan and june mix two kind of feed for pedigreed dogs
Feed A worth is $0.26 per pound
Feed B worth is $0.40 per pound
Let x represent the cheaper amount of feed and y the costlier type of feed
x+y= 70..........equation 1
0.26x + 0.40y= 0.30×70
0.26x + 0.40y= 21.........equation 2
From equation 1
x + y= 70
x= 70-y
Substitutes 70-y for x in equation 2
0.26(70-y) + 0.40y= 21
18.2-0.26y+0.40y= 21
18.2+0.14y= 21
0.14y= 21-18.2
0.14y= 2.8
Divide both sides by the coefficient of y which is 0.14
0.14y/0.14= 2.8/0.14
y= 20
Substitute 20 for y in equation 1
x + y= 70
x + 20= 70
x= 70-20
x = 50
Hence Dan and june should use 50 pounds of the cheaper kind in the mix
