scale factor=shadow: real figure
s.f=4:6
=2:3
applying the same to the pole
let x be the real height of the pole.
2:3=20/x
3×20=2x
60=2x
60/2=2x/2
x=30feet
Answer:
Price of Caleb's groceries before tax = $64
Step-by-step explanation:
Let the price of groceries before tax be =$
Sales tax charged = $1.60
Sales tax rate =2.5%
Sales tax charged in terms of will be = 2.5% of the Original price of grocery =
So, we have,
Dividing both sides by
∴
∴ Price of Caleb's groceries before tax = $64
<em>Inscribing</em> a<u> square</u> in a given<u> circle</u> is a method of drawing the required <u>square</u> within the <em>circumference</em> of the <u>circle</u>. Thus the <em>appropriate</em> answer is Option A.
<u>Inscribing</u> a <u>square</u> in a given <u>circle</u> is a method of <em>drawing</em> the required <em>square</em> within the <em>circumference</em> of the circle. This requires the following stipulated <u>steps</u> to produce a required<u> image</u>.
A <u>square</u> is a <em>plane shape</em> with an <u>equal</u> length of <u>sides</u>. So that the size of an <u>inscribed</u> <u>square</u> is determined by the <em>diameter</em> or<em> radius</em> of the <u>circle</u>.
Considering the appropriate process to be followed, then Cassandra should create a <em>perpendicular bisector</em> of BC. Then use the <u>points</u> of <em>intersection</em> of the p<em>erpendicular bisector</em> with the <u>circle</u>, along with <u>points</u> B and C, to <u>draw</u> the <u>square</u>.
Thus, the option that <u>summarises</u> the <em>basic process</em> is option A.
For more clarifications on inscribing a square in a given circle, visit: brainly.com/question/63415
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We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=−1/4x²<span>−x+3
where
a=-1/4
b=-1
c=3
</span><span> the coordinates of the focus are
</span>
(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2
y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3
the coordinates of the focus are
(-2,3)
Answer:
y = 4x + 57
Step-by-step explanation:
y = 4x + b
9 = 4(-12) + b
9 = -48 + b
57 = b
y = 4x + 57