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dem82 [27]
3 years ago
7

Seetha drove to work at 30 miles per hour. How fast would she need to drive home for the average speed for her round trip commut

e to be 60 miles per hour
Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer:

40

Step-by-step explanation: Total distance = 60 miles

Total time = 30 / 30 + 30/60 = 3/2

Avg. speed = 40.

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a solid sphere is cut into 3 equal wedges. the volume of each wedge is V=4/9π^3. solve the formula for r
algol13

\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3

  • It is one third of the solid. sphere

\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}

\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)

\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3

Now

\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}

\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}

\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}

4 0
3 years ago
Read 2 more answers
Can y’all please help me answer these questions
mario62 [17]

Step-by-step explanation:

4.

⇒ V = \pi r^{2}h

⇒ V = \pi(10)^{2}(40)

⇒ V = 4000\pi

⇒ V = 12566.4cm^{3}

5.

⇒ V = \frac{1}{3}\pi r^{2}h

⇒ V = \frac{1}{3}\pi (8)^{2}(h)

As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.

⇒ a^{2} + b^{2} = c^{2}

⇒ (8)^{2} + h^{2} = 20^{2}

⇒ h = \sqrt{20^{2} - 8^{2}}

⇒ h = 4\sqrt{21}

Now substitute this into the volume formula.

⇒ V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})

⇒ V = \frac{256\sqrt{21} }{3}\pi

⇒ V = 1228.5mm^{3}

6.

⇒ V = l^{3}

⇒ V = (3.1)^{3}

⇒ V = 29.8inches^{3}

7.

⇒ V = \frac{1}{3}lwh

⇒ V = \frac{1}{3}(12)(4)(6)

⇒ V = 96inches^{3}

6 0
2 years ago
Read 2 more answers
What is the component form and magnitude of the vector shown?
Blababa [14]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Y is inversely proportional to a^3
Ludmilka [50]

Answer:

y = 0.64/x^3

Step-by-step explanation:

If y is inversely proportional to a^3, we can write the equation:

y * a^3 = k

Using a = 2 and y = 10, we have:

10 * 2^3 = k

k = 80

If a is directly proportional to x, we can write the equation:

a = c * x

Using x = 4 and a = 20, we have:

20 = c * 4

c = 5

Now, using the value of a = 5*x in the equation y * a^3 = 80, we have:

y * (5x)^3 = 80

y * 125x3 = 80

y = 80/(125x3) = 0.64/x^3

6 0
3 years ago
What is the measure of one exterior angle of a regular hexagon?<br>a. 60<br>b.72<br>c. 90
Molodets [167]
To find the exterior angle measure we would use the following formula: 
\frac{360~degrees }{number ~of ~sides}
A regular hexagon has 6 sides so we divide: 
360/6 which equals 60 
So our final answer would be A. 60 
5 0
3 years ago
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