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3 years ago

Tom jogged 3/5 mile on Monday and 2/6 mile on Tuesday how much farther did Tom joy on Monday then on Tuesday

1 answer:

3 0

$\bf \cfrac{3}{5}-\cfrac{2}{6}\impliedby \textit{so, we'll use an LCD of 30}\implies \cfrac{(6\cdot 3)-(5\cdot 2)}{30}
\\\\\\
\cfrac{18-10}{20}\implies \cfrac{8}{20}\implies \cfrac{2}{5}$

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If Chung's go-kart can travel 48 miles on 1 gallon of gas, how far can his go-kart travel on 1.15 gallons of gas?

Nataliya [291]

So to get the answer you multiply 48 by 1.15 and you get 55.2
Chung's go-kart can travel 55.2 miles on 1.15 gallons of gas.

3 0

3 years ago

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The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc

masya89 [10]

Answer:

Therefore the angle of intersection is $\theta =79.48^\circ$

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

$r_1(t)=(2t,t^2,t^4)$

and $r_2(t)=(sin t , sin5t, 2t)$

To find the tangent of a carve , we have to differentiate the carve.

$r'_1(t)=(2,2t,4t^3)$

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]

$r'_1(0)=(2,0,0)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2$

Again,

$r'_2(t)=(cos t ,5 cos5t, 2)$

The tangent at (0,0,0) is

$r'_2(0)=(1 ,5, 2)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}$

If θ is angle between tangent, then

$cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}$

$\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }$

$\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }$

$\Rightarrow cos \theta =\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =cos^{-1}\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =79.48^\circ$

Therefore the angle of intersection is $\theta =79.48^\circ$ .

8 0

3 years ago

Diameter of the circle whose radius is given <br>a) 3.5cm<br>

sdas [7]

To find the diameter of the radius you need to multiply 3.5 x 2 = 7

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3 years ago

Hamid bought 4.5 pounds of strawberries. The total cost of the strawberries was 8.10. How much did each pound of strawberries co

Ray Of Light [21]

Answer:

<h2>1.80 per pound of strawberries</h2><h2 />

Step-by-step explanation:

8.10 / 4.5 pounds = 1.80 per pound of strawberries

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3 years ago

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To convert a capacity of 8.7 gallons to quarts which ratio could you multiply by

guajiro [1.7K]

<span>A- 4 quarts over 8.7 gallon

B- 1 gallon over 4 quarts

C- 8.7 gallons over 4 quarts

D- 4 quarts over 1 gallon</span><span>Update: </span><span>Remember that 1 gallon = 4 quarts

</span>

6 0

3 years ago