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k0ka [10]
3 years ago
9

A bird leaves its nest and travels 20 miles per hour downwind for x x hours. On the return trip, the bird travels 4 miles per ho

ur slower and has 6 miles left after x x hours. a. What is the distance of the entire trip? b. How long does the entire trip take?
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

a. if the return trip is the same then the bird traveled 40miles

b. the time of the trip is x hours + 6/x-4

Hope this helps!

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A triangle has sides with lengths of 60 centimeters, 63 centimeters, and 87 centimeters. Is it a right triangle
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Given that f(x) = 19x2 + 152, solve the equation f(x) = 0
telo118 [61]

<em><u>Option A</u></em>

<em><u>The solution is:</u></em>

x = \pm 2i \sqrt{2}

<em><u>Solution:</u></em>

f(x) = 19x^2+152

We have to solve the equation f(x) = 0

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0=19x^2+152

Solve the above equation

19x^2 + 152 = 0

\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8

Take square root on both sides

x =  \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}

Thus the solution is found

5 0
3 years ago
A right triangle with a keg 3mi and hypotenuse 5mi
kolbaska11 [484]

Answer:

Step-by-step explanation:

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4 0
3 years ago
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the neares
Maurinko [17]

Answer:

3215 .36 m³ is the required volume.

Step-by-step explanation:

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Height of cylinder is equal to twice the radius .

As we know that ,

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where,

π is taken as 22/7 or 3.14

r is the radius of cylinder

Substitute the value we get

↝ 64 π = πr²

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Now, it is given that height is equal to twice of radius

Therefore ,

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★Volume of Cylinder = πr²h

substitute the value we get

↝ volume of Cylinder = 3.14 × 8² × 16

↝volume of Cylinder = 3.14 × 64 × 16

↝volume of Cylinder = 3215 .36 m²

Hence, the required volume of cylinder is 3215 .36 m³.

6 0
3 years ago
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