2 years ago

How much dose acute angle have

Mathematics

1 answer:

Svetach [21]2 years ago

8 0

Less than 90 degrees

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Write the rectangular equation (x+5) 2 + y 2 = 25 in polar form.

Serjik [45]

Answer:

r = -10*cos(t)

Step-by-step explanation:

To write the rectangular equation in polar form we need to replace x and y by:

$x=r*cos(t)\\y=r*sin(t)$

Replacing on the original equation, we get:

$(x+5)^2+y^2=25\\x^2+10x+25+y^2=25\\(r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25$

Using the identity $sin^2(t)+cos^2(t)=1$ and solving for r, we get that the polar form of the equation is:

$(r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25\\r^2cos^2(t)+10rcos(t)+r^2sin^2(t)=0\\r^2cos^2(t)+r^2sin^2(t)=-10rcos(t)\\r^2(cos^2(t)+sin^2(t))=-10rcos(t)\\r^2=-10rcos(t)\\\\r=-10cos(t)$

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3 years ago

One fruit punch has 10% juice and another has 50%. How much of the 10% should be mixed with 30 gal of the 50% to create punch th

N76 [4]

Answer:

We combine x ounces of 100% juice

with 40-x of 10% juice

to get 40 ounces of 55% juice

x + 0.1(40-x) = .55(40)

x + 4 - 0.1x = 22

0.9x + 4 = 22

.09x = 18

x = 20 ounces of 100% juice

40-x = 20 ounces of 10% juice

We combine 20 ounces of each.

Step-by-step explanation:

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2 years ago

The number 0.4 is written as a ____________ ( decimal , decimal point, hundred, hundredth)?

Anuta_ua [19.1K]

The number 0.4 is written as a decimal.

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3 years ago

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If Logan's family can drive 23 1/8 miles on 1 gallon of gas,how far can they drive on 17 gallons

guapka [62]

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3 years ago

Which of these statements is correct? A) the distance between the points (-2, -9) and (9, 3) is 11 units B) the distance between

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The answer is C The distance between the points (15,6) and (21,22)

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