All categories

2 years ago

What is a hypotenuse? I took this picture to help you explain it if you can. Thanks!

Mathematics

2 answers:

nalin [4]2 years ago

8 0

A right-angled triangle and its hypotenuse.

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite of the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25. The length of the hypotenuse is the square root of 25, that is, 5.

Tanzania [10]2 years ago

3 0

So basically the hypotenuse is the part of the triangle that connects the two sides that create the right angle

You might be interested in

A child 4 feet tall casts a shadow 6 feet

klio [65]

The Answer should be C) 40.5 feet

3 0

3 years ago

In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m

madam [21]

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

X + Y + Z = 180

So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

4 Y + 100 = 180

4 Y = 80

Y = 80/4 = 20

Then X = 40, Y = 20, and Z = 120

7 0

2 years ago

You are given two functions f(x) and g(x). How has the graph of g(x) changed from that of f(x)?

madreJ [45]

Answer:

C. g has been shifted down five units and to the left two units from f

Step-by-step explanation:

Sana makatulong

8 0

3 years ago

78 : 120 :: ? : 66 please give answer with explanation

yawa3891 [41]

Step-by-step explanation:

Method 1:

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

Method 2:

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

Answer: Hence the value of (?) for the given problem is 42.9.

Verification:

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

4 0

2 years ago

Based on housing data below which equation can be used to calculate fair housing prices?

VMariaS [17]

Answer:

B. y = 0.097x + 11.142

Step-by-step explanation:

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.

The equation of the line can be written as

$y=mx+q$

where m is the slope and q the y-intercept.

In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

and

(2200, 225)

The slope of the line is calculated as:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{225-196}{2200-1900}=0.097$

So, the slope of the line is 0.097.

Therefore, the correct option is the only one having a slope of 0.097, which is:

B. y = 0.097x + 11.142

5 0

2 years ago