All categories

3 years ago

What is the Hypotenuse Leg Theorem?

Mathematics

1 answer:

serg [7]3 years ago

8 0

Step-by-step explanation:

<em>The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side.</em>

You might be interested in

PLZ HELP!!!!!!!!!!!!!!!!!!

Inessa05 [86]

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= $-6x^2+100x-180$

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x $= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

$= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$$

$= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$$

$= \frac{-100\pm\sqrt{5.680}}{-12}$$

$= \frac{-100 + 75.3658}{-12}$$

$= \frac{24.6342}{-12}$

x^1 = -2.05285

Now

x^2 $= \frac{-100 - 75.3658}{-12}$$

$= \frac{- 175.3658}{-12}$

x^2 = 14.6138

Based on this the option D is most appropriate as per the given situation

4 0

2 years ago

Read 2 more answers

Find the remainder when f(x) = x^3 + 14x^2 − 7x − 10 is divided by x − 3.

Elanso [62]

Answer:

122

Step-by-step explanation:

(3)³ + 14(3²) - 7(3) - 10

122

Used remainder theorem

6 0

2 years ago

Two factors multiply to give you -48 and have a sum of -13. What are the factors? *

Kobotan [32]

Answer:

The corrrect answer is -16 and +3

3 0

2 years ago

Read 2 more answers

This morning, Rita's car had 18.12 gallons of fuel. Now, 4.7 gallons are left. How much fuel did Rita use?

Katena32 [7]

13.42 is left for Rita to use

8 0

2 years ago

Suppose 232subjects are treated with a drug that is used to treat pain and 50of them developed nausea. Use a 0.01significance le

Margarita [4]

Answer:

The correct option is B

$t = 0.6093$

$p-value = 0.27116$

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is $n = 232$

The number that developed nausea is X = 50

The population proportion is p = 0.20

The null hypothesis is $H_o : p = 0.20$

The alternative hypothesis is $H_a : p > 0.20$

Generally the sample proportion is mathematically represented as

$\r p = \frac{50}{232}$

$\r p = 0.216$

Generally the test statistics is mathematically represented as

=> $t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p )}{n} } }$

=> $t = \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }$

=> $t = 0.6093$

The p-value obtained from the z-table is

$p-value = P(Z > 0.6093) = 0.27116$

Given that the $p-value > \alpha$ then we fail to reject the null hypothesis

5 0

3 years ago