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Anettt [7]
2 years ago
5

Find the equation of the slope.

Mathematics
1 answer:
shusha [124]2 years ago
5 0

Answer:

y=mx+b

Step-by-step explanation:

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Round to 2 decimal places *
EleoNora [17]

Answer: The circumference of the dome is therefore 149.15 feet or 47.5π feet

Step-by-step explanation:

A scale is basically referred to as the ratio of the dimensions of an object as represented in a draft to the real or true dimensions of the object being drafted.

The figure(s) on the left of the ratio sign represents the size and dimensions of the model with respect to the actual size or dimensions of the object. On the other hand, the figure on the right hand size represents the actual dimensions and size of the real object.

So, if an object is being drawn with the ratio, 1cm : 5cm it means that the size of the object is being reduced because every 5cm of the actual object will always be represented by 1cm in the drawing. If the object is being drawn with a scale of 5cm : 1cm then the actual size of the object will be increased in the drawing. That is, for every 1cm in the actual dimensions of the object, there will be a 5cm representation in the drawing.

Now, the architect draws with a scale of 0.25 inches : 1 foot. If the diameter of the hemispherical dome is 23.75 inches in the scale model, then the actual diameter of the dome is:

0.25 inches ------- 1 foot

23.75 inches ------- ? feet

= 23.75/0.25 × 1

= 95 feet

Therefore, the actual diameter of the dome is 95 feet. We are now required to find the circumference of this dome.

The dome is a hemisphere which literally means half of a sphere. So, if the formula for finding the circumference of a sphere is πd, that of a hemisphere will then be πd/2. Since the diameter is already known to be 95 feet, the circumference of the hemisphere =

(π × 95)/2

=47.5π feet

Or

If π = 3.14, then the circumference = (3.14 × 95)/2 = 149.15 feet

The circumference of the dome is 149.15 feet or 47.5π feet

5 0
3 years ago
Simplify the expression
cestrela7 [59]
It would come out as 1
7 0
2 years ago
Gary had a 40% discount for car speakers. The sale price of the speakers was $96.25. What was the original price of the speakers
Ostrovityanka [42]

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

5 0
2 years ago
In one popular game, five number cubes are rolled at the same time. if the number cubes are kept separate, what is the total pos
madreJ [45]

5 cubes, each have six sides containing different numbers = 6⁵   = 7,776

Answer: 7,776 total possible outcomes


3 0
2 years ago
Solve similar triangles (advanced)
Reil [10]

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

\frac{9}{3} =\frac{15}{x}

x=\frac{(15)(3)}{9} =\frac{45}{9} =5

hope this helps

7 0
2 years ago
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