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3 years ago

A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse?

Mathematics

2 answers:

Nikitich [7]3 years ago

8 0

A^2+b^2=c^2

(10.1)^2+(12.2)^2=c^2
102.01+148.84=c^2
250.85=c^2
15.8=c

Hypotenuse is approx 15.8 inches

dezoksy [38]3 years ago

6 0

Answer:

The approximate length of the hypotenuse is $15.8\ in$

Step-by-step explanation:

we know that

In a right triangle

The Pythagoras Theorem states that

$c^{2} =a^{2}+b^{2}$

where

c is the hypotenuse (greater side)

a,b are the legs

In this problem we have

$a=10.1\ in$

$b=12.2\ in$

substitute

$c^{2} =10.1^{2}+12.2^{2}$

$c^{2} =250.85$

$c=15.8\ in$

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A kitchen counter will be designed according to the measurements of the diagram in the image. What is the area of the surface of

Semmy [17]

Answer:

B:31.5

Step-by-step explanation:

Find areas of both rectangles by multiplying the 2 given values (12 & 15)

Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)

Take both values and add them over 2

Receive the answer 4.5

Add that to the rectangle values for an answer of 31.5

Hope this helps

Have a good day

7 0

2 years ago

Read 2 more answers

The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence

Alla [95]

Answer:

Exterme Value: $(2,4)$ .

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is $y=x^2-4x+8$ .

We add and subtract the square of half the coefficient of x.

$y=x^2-4x+(-2)^2-(-2)^2+8$ .

The first three terms form a perfect quadratic trinomial.

$y=(x-2)^2+4$ .

This function is now written in the form $y=a(x-h)^2+k$ , where (h,k) is the extreme value(vertex).

The extreme value or the vertex is $(2,4)$ .

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

3 0

3 years ago

How many three-digit multiples of 5 have three different digits?

aalyn [17]

There are 180 numbers which are three-digit multiples of 5.

According to the statement

we have to find the three digit numbers which are multiples of 5.

we know that three digit numbers are start from 100 to 999 and in 1 line of counting means 100 to 110 there are 2 numbers are multiples of 5.

Here we use Multiplication method to find the number of digit which are a multiple of 5.

It means there are two numbers which are multiples of 5 in the one line of counting and there are 90 lines of counting from 100 to 999.

So, it means the answer will become

2*90 = 180.

So, There are 180 numbers which are three-digit multiples of 5.

Learn more about NUMBERS here brainly.com/question/1094036

#SPJ1

8 0

1 year ago

The function — is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the ti

MissTica

The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].

<h3>What are the domain and range of the function as given in the task content?</h3>

It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.

Also, the range of a function is the set of all possible output values for such function.

On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].

While the range is the difference between the minimum and maximum height attained and can be computed as follows;

At minimum height, t = 0; hence, h(t) = 0.

At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.

Hence, h(1.92) = 18.05.

The range is therefore; [0, 18.05].