All categories

3 years ago

What is the length of the hypotenuse in a right triangle if the legs are 50 and 120

Mathematics

1 answer:

miv72 [106K]3 years ago

5 0

Good evening

Answer:

Step-by-step explanation:

let L represent the length of the hypotenuse :

Since we are in a right triangle case then the Pyth theorem is a valid choice to solve the problem :

the Pythagoren theorem states that :

L² = 50^2+120^2

then

L² = 16 900

then

L = √(16 900)

=130

__________________________

You might be interested in

Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis

Mariana [72]

Answer:

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by $p_1, p_2,...,p_9$ , and all the sweet dishes by $q_1,q_2,...,q_5$ .

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with $q_1$ from sweet plates which are $(q_1, p_1), (q_1, p_2), ..., (q_1,p_9).$

There are 9 plates with $q_2$ from sweet plates which are $(q_2, p_1), (q_2, p_2), ..., (q_2,p_9).$

Similarly, there are 9 plated for each $q_3, q_4$ and $q_5.$

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

$= 9+9+9+9+9= 9\times5=45$

7 0

3 years ago

The length of a rectangle is two less than four times the width. If the perimeter is 26 cm, find the dimensions of the rectangle

gulaghasi [49]

Answer:

w = 3

l = 10

Step-by-step explanation:

l = 4w-2

P = 26cm

P = (l + w) × 2

26 = (4w-2+w) ×2

26 = (4w + w - 2) × 2

26 = ( 5w - 2 ) × 2

26 ÷ 2 = 5w -2

13 = 5w - 2

13 + 2 = 5w

15 = 5w

w = 3

l = 4w - 2

l = (4 × 3) -2

l = 12 - 2

l = 10

7 0

3 years ago

Breanna has 1_5/8 pounds of clay. She uses 6/8 of the clay for an art project. What is the weight of the clay Breanna uses for h

Oksanka [162]

Breanna used $\frac{7}{8}$ pounds of clay for her project.

Step-by-step explanation:

Step 1; First, we must convert the mixed fractions into improper fractions. To do that we multiply the whole number with the denominator and add with it the numerator while the denominator remains the same. To convert this fraction 1 $\frac{5}{8}$ , we multiply 1 with 8 and then add 4 and keep the 8 as the denominator so we get

1 $\frac{5}{8}$ = (1 × 8) + 5 / 8 = $\frac{13}{8}$ .

Step 2; After conversion, it's just a matter of subtraction. To calculate the clay she used for her project, we subtract the clay she had after from the clay she had before doing the project. While subtracting two fractions, if denominators are equal we subtract the numerators and keep the denominator the same.

$\frac{13}{8}$ - $\frac{6}{8}$ = $\frac{13-6}{8}$ = $\frac{7}{8}$ .