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Anna007 [38]
3 years ago
11

The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constan

t, the formula is d=r*t , where d is the distance, r is the speed, and t is the time. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? a. 200 miles b. 10 miles c. 250 miles d. 300 miles Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

d = r * t

r = 50 mph

this will be very easy.

d = r * t

r = 50 mph

t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.

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Here is a triangular pyramid and its net.
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Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

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