All categories

3 years ago

Find the exact length of the third side. 51

Mathematics

1 answer:

Nesterboy [21]3 years ago

7 0

Answer:

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

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

The legs of the triangle are put into either a or b and the hypotenuse is put into c. In this case, they've already given you the hypotenuse, but now you need to find the leg:

$45^{2} + b^{2} = 51^{2}$

2025 + $b^{2}$ = 2601

Subtract 2025 from both sides:

2025 + $b^{2}$ = 2601

-2025 -2025

_____________

$b^{2}$ = 576

Square root:

$\sqrt{b^{2} } = \sqrt{576}$

b = 24

You might be interested in

What is the coefficient for 5x + 3 = 18

erik [133]

Answer: 5

Step-by-step explanation: Let's go over a little algebra terminology.

The number in front of your variable is called your coefficient and a variable is just a letter that represents any number.

So here, your coefficient is 5 since it appears in front of the variable, x.

8 0

3 years ago

Read 2 more answers

Emily needs to buy 2.5 pounds of pecans for a pie.If pecans cost 1.50 per pound how much will Emily pay for pecans?

AleksandrR [38]

Answer:

3.50

Step-by-step explanation:

1.50 x 2 = 3 And their is .50 left so half of 1 pound is .50 which is 3+50=3.50

If this helped please make me brainliest :)

7 0

3 years ago

A restaurant offers a $12 dinner special that has 77 choices for an appetizer, 1010 choices for an entrée, and 44 choices for

krok68 [10]

280 I'm assuming that this question is badly formatted and that the actual number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts. So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre, so the number of possible meals to this point is n = 7 * 10 = 70 Finally, you finish off with a dessert, so the number of meals is: n = 70 * 4 = 280 Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is n = 77 * 1010 * 44 = 3421880 But I believe that it's highly unlikely that the numbers in this problem are correct. Just imagine the amount of time it would take for someone to read a menu with over a thousand entres in it. And working in that kitchen would be an absolute nightmare.

5 0

3 years ago

Please help me :((( it’s geometry

NikAS [45]

$\tt Step-by-step~explanation:$

$\tt Area:$

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

$\tt 10*7=70\\70/2=35\\35=A$

$\tt Perimeter:$

$\tt Step~1:$

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

$\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149$