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choli [55]
2 years ago
15

To get to school from her house, Donita walks at a rate of 3 mph north along Troy Ave for 15 minutes. Then she walks at a rate o

f 3.75 mph east along Mesa St for 20 minutes. If she walks directly from her house to school, how fast must she walk to
arrive there in the same amount of time? Fill in the blanks, rounding answers to the nearest tenth.

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
4 0

I mile = 60 / 3 = 20 minutes. Answer: The school is 1 mile from Emma's house. Lennox Obuong Algebra Tutor Nairobi, Kenya ...
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From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is
Nataliya [291]
<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

volume \: of \: the \: cylinder \:  =  \pi {r}^{2} h

=  > \pi \times  {5}^{2} \times  12 {cm}^{3}   = 300\pi {cm}^{3}

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

slant \: height \: of \: the \: cone \:  =  \sqrt{ {h}^{2}  + \:  {r}^{2} }

=  >  \sqrt{ {5}^{2}+{12}^{2} } cm \:  = 13cm

Volume of the cone = 1/3 *πr^2h

=  >  \frac{1}{3} \pi \times  {5}^{2}   \times 12 {cm}^{3}  = 100\pi {cm}^{3}

therefore, the volume of the remaining solid

= 300\pi {cm}^{3}  - 100\pi {cm}^{3}  \\  = 200 \times 3.14 {cm}^{3}  = 628 {cm}^{3}

Curved surface of the cylinder =

2\pi \: rh \:  = 2\pi \times 5 \times 12 {cm}^{2}  \\  = 120\pi {cm}^{2} .

curved \: surface \: of \: the \: cone \:  = \pi \: rl \\  = \pi \times 5 \times 13 {cm}^{2}  \\  = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\  of \: cylinder \:  =  \\ =  \pi \:  {r}^{2}  = \pi \times  {5}^{2}

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

= 120\pi {cm}^{2}  + 65\pi {cm }^{2}  + 25 \pi {cm}^{2}  \\  = 210 \times 3.14 {cm}^{2}  = 659.4 {cm}^{2}

<h3>Hope it helps you!!</h3>

6 0
2 years ago
How do i slove this 4.66x=8.66
Ahat [919]

Answer:

x = 1.858369099

or in fraction for

x = 1  200/233

Step-by-step explanation:

To solve this equation, we need to isolate x

4.66x=8.66

Divide each side by 4.66

4.66x/4.66=8.66/4.66

x = 1.858369099

6 0
2 years ago
Find the straight time pay if you earn $7.90 per hour and worked 37 hours.
S_A_V [24]

Answer: $292.30

Step-by-step explanation:

6 0
3 years ago
Write an inequality to represent the situation: The temperature stayed above -15 degrees. Help!
Ivenika [448]
T > -15

Hope this helps =)
5 0
2 years ago
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There are three samples A, B, and C. Sample A indicates 50 successes out of 120 cases, sample B indicates 80 successes out of 12
san4es73 [151]

Answer:

Step-by-step explanation:

From given information

P_{A} = 50 /120 =  0.4166667

P_{B} = 80 /120 =  0.6666667

P_{C} =48/120 = 0.4

Ha : p > 0.4

Correct order is

Answer : C) B ,A ,C

5 0
3 years ago
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