All categories

3 years ago

. 25 points .please help Pythagoras theorem.

Mathematics

2 answers:

elixir [45]3 years ago

8 0

Step-by-step explanation:

$here \: oy = ox = b\\ then \: xy = b + b = 2b \\ using \: pythagorean \: theorom \: \\ {(xy)}^{2} = {(xz)}^{2} - {(zy)}^{2} \\ {(2b)}^{2} = {41}^{2} - {9}^{2} \\ 4 {b}^{2} = 1681 - 81 \\ 4 {b}^{2} = 1600 \\ {b}^{2} = 1600 \div 4 = 400 \\ b = \sqrt{400} = 20 \\ thank \: you$

Salsk061 [2.6K]3 years ago

4 0

Answer:

20 cm

Step-by-step explanation:

The bottom leg is divided into equal segments, one of them is b.

It means the bottom leg is b + b = 2b.

According to Pythagorean:

41² = (2b)² + 9²

Solve for b:

1681 = 4b² + 81
4b² = 1681 - 81
4b² = 1600
b² = 400
b = √400
b = 20 cm

You might be interested in

this week Rajiv's puppy weighs 8 kilograms. Last week the puppy weighed 6.5 kilograms how much mass in grams did the puppy gains

Olegator [25]

Answer:

1,500 G

Step-by-step explanation:

1 Kilogram (Kg) = 1,000 Grams (G)

8-6.5= 1.5

1.5x1,000=1,500

3 0

3 years ago

Using the circle below, determine the coordinates of the center and the length of the radius

lidiya [134]

(3,2) is the center and the radius is 2. You can see this by taking where the dot is in the graph (in this case (3,2)) that is your middle, while the radius is one half of the circle, basically how many points are between the circle and the dot. Hope this helps!

5 0

3 years ago

Mr. Clifton was preparing for his upcoming birthday party. He ordered 51 white balloons and 47 red balloons. As he walked to his

Andrej [43]

Answer:

28 i think

Step-by-step explanation:

51+47=98

98-12 the ones that flew away that takes it to 86

86/3 the 3 balloons buntch than is 28

p.s. i mght of got some equations wrong but this is what i got

4 0

3 years ago

Which of the following is an arithmetic sequence?

zimovet [89]

$-8~~,~~\stackrel{-8+2}{-6}~~,~~\stackrel{-6+2}{-4}~~,~~\stackrel{-4+2}{-2}\qquad \begin{cases} a_1=-8\\ d = +2 \end{cases}$

6 0

2 years ago

The drama club is selling T-shirts and caps to raise money for a spring trip. The caps sell for $5.00 each, and the T-shirts sel

Zinaida [17]

The required inequality is $5x+10y\geq 500$

Solution:

Given that,

Cost of 1 cap = $ 5

Cost of 1 t-shirt = $ 10

Let "x" be the number of caps sold

Let "y" be the number of t-shirts sold

The drama club needs to raise at least $500.00 for the trip

Based on this information, we can frame a inequality as:

number of caps sold x cost of 1 cap + number of shirts sold x cost of 1 shirt $\geq$ 500

Which means,

$x \times 5 + y \times 10\geq 500\\\\5x + 10y\geq 500$

Here we used "greater than or equal to" symbol , because club needs to raise at least $ 500

They can raise 500 or more than $ 500 also

Thus the required inequality is $5x+10y\geq 500$

8 0

3 years ago

. 25 points .please help Pythagoras theorem.​

. 25 points .please help Pythagoras theorem.