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Artist 52 [7]
3 years ago
10

Rajit buys 4 pairs of socks for $2.50 per pair. He pays with a $20 bill.

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
7 0
$10.00 is his change.
sveta [45]3 years ago
5 0
2.50 x 4 = 10

20 - 10 = 10

so his change would be $10

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How do I construct angle XYZ with a measure of 2 times the measure of angle ABC
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I can’t understand why everyone complicates this question. It can be easily solved by similar triangles.


In this png, we have something to make sure.

∠B=∠DAB
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These are based on the fact that ∠A=2×∠B
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Actually these conditions suffice. Because I am just proving that △ACD∼△BCA
△
A
C
D
∼
△
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Similarity makes us realize the following:

ACBC=ADAB
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BC2=BC×(BD+CD)=BC×(AD+CD)
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(
B
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C
D
)
=
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C
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(
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D
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C
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=AC×AB+AC2
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Q.E.D.
2.4k Views ·
6 0
3 years ago
x2y - 2xy - 24y = y(x2 - 2x - 24) What is the completely factored form of x2y – 2xy – 24y? (xy + 4)(x – 6) xy(x + 4)(x – 6) y(x
likoan [24]

we are given

x^2y-2xy-24y=y(x^2-2x-24)

now, we can factor out right side term

x^2-2x-24=x^2-6x+4x-6*4

x^2-2x-24=(x-6)(x+4)

now, we can plug back

and we get

so,

x^2y-2xy-24y=y(x-6)(x+4).............Answer

5 0
3 years ago
Read 2 more answers
If a certain cannon is fired from a height of 8.8 meters above the​ ground, at a certain​ angle, the height of the cannonball ab
Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

h(t)=-4.9t^2+30.5t+8.8

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

-4.9t^2+30.5t+8.8=0

Multiply both sides by 10.

-49t^2+305t+88=0

For a quadratic equation of the form ax^2+bx+c=0 the solutions are: x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a = -49, b = 305 and c=88

t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}

Ignore the negative value of t as time can't be a negative number.

Thus,

t=\frac{305+\sqrt{110273}}{98}\approx6.50

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

6 0
3 years ago
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