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IceJOKER [234]
2 years ago
14

What is the answer for x

Mathematics
2 answers:
uranmaximum [27]2 years ago
8 0

Answer:

x=20

Step-by-step explanation:

This is a right triangle, so we can use the pythagorean theorem to help us find x.

The the theorem states that the sum of the legs squared is equal to the length of the hypotenuse squared.

Thus, our equation is:

x^2+48^2=52^2

Simplify.

x^2+2304=2704

Subtract 2304 from both sides.

x^2=400

Find the square root of both sides.

x=20

skelet666 [1.2K]2 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

We need to use Pythagoras theorem in this question. Pythagoras theorem states that a² + b² = c². This means that c² is hypotenuse (the angle opposite the right angle) but in this question we are given the length of the hypotenuse so we have to rearrange the equation,

→ a² + b² = c²

⇒ Substitute in the values

→ 48² + b² = 52²

⇒ Simplify it

→ 2304 + b² = 2704

⇒ Minus 2304 from both sides to isolate b²

→ b² = 400

⇒ Square root both sides to isolate b and find the value of x

→ b = 20

The length of x is 20

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Considering the situation described, the scientist's null and alternative hypothesis are described by:

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<h3>What are the hypothesis tested?</h3>

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7 0
2 years ago
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

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= 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

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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
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tangare [24]

Answer:

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5 0
1 year ago
What is 63.48 rounded off to 1 decimal place?
Lilit [14]

Answer:

63.5

Step-by-step explanation:

5 0
3 years ago
Use technology or a z-score table to answer the question.
Drupady [299]

Answer:

C

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