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2 years ago

The legs of a right triangle are 3 and 4 inches long how long is the hypotenuse

1 answer:

nataly862011 [7]2 years ago

3 0

In the right angled triangle, a hypotenuse is the longest line of the triangle and is always the one that is opposite the right-angle of the triangle.
If your triangle is a right angled triangle, the simplest way is to use the Pythagora's Theorem to find the length of the hypotenuse. The formula for which is
a² + b² = c² where c is the unknown hypotenuse and a and b are the other two sides.
Using this formula,
3² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c which if you notice is also the lengthiest .

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Find the center of the circle that can be circumscribed about EFG with E(4, 4), F(4, 2), G(8, 2). (3, 6) (4, 2) (4, 4) (6, 3)

Lesechka [4]

Answer:

(6,3)

Step-by-step explanation:

8 0

2 years ago

Help with b please I don’t understand it

galben [10]

Answer:

This is a 25% decrease

Step-by-step explanation:

percent change = (old - new)/old * 100 %

The new price is 15

The old price is 20

Since the new price is less than the old price, it is a decrease

percent change = (20-15)/20 * 100 %

= 5/20 * 100%

=.25 * 100%

= 25%

This is a 25% decrease

8 0

2 years ago

A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec

AnnZ [28]

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

Find out f'(x) and f''(x)
Then set f'(x)=0 which gives x=a.
f''(a) > 0 , then at x=a , f(x) has minimum value.
If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

$h=-16t^2+32t$

Differentiating with respect to t

$h'=-32 t+32$

Again differentiating with respect to t

$h''=-32$

Next, we set h'=0

$-32 t+32=0$

$\Rightarrow 32t=32$

$\Rightarrow t=1$

Now $h''|_{t=1}=-32$

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

= -16+32

=16 feet

4 0

2 years ago

There are 14 juniors and 16 seniors in a chess club. a) From the 30 members, how many ways are there to arrange 5 members of the

Dmitrij [34]

Answer:

a) 17,100,720

b) 4,717,440

c) 10,920

d) 2821

Step-by-step explanation:

14 juniors and 16 seniors = 30 people

a) From the 30 members, how many ways are there to arrange 5 members of the club in a line?

As it is a ordered arrangement

30.29.28.27.26 = 17,100,720

b) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

16.28.27.26.15 = 4,717,440

c) If the club sends 2 juniors and 2 seniors to the tournament, how many possible groupings are there?

Not ordered arrangement. And means that we need to multiply the results.

C₁₄,₂ * C₁₆,₂

C₁₄,₂ = 14.13.12! = 14.13 = 91

12! 2! 2

C₁₆,₂ = 16.15.14! = 16.15 = 120

14! 2! 2

C₁₄,₂ * C₁₆,₂ = 91.120 = 10,920

d) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Or means that we need to sum the results.

C₁₄,₄ + C₁₆,₄

C₁₄,₄ = 14.13.12.11.10! = 14.13.12.11 = 1001

10! 4! 4.3.2.1

C₁₆,₄ = 16.15.14.13.12! = 16.15.14.13 = 1820

12! 4! 4.3.2.1

C₁₄,₄ + C₁₆,₄ = 1001 + 1820 = 2821

7 0

2 years ago

Divide. 2 3/4 ÷ 2/5 ( Need help ASAP)

vovangra [49]

55/8 and in the decimal form it's 6.875

4 0

2 years ago

Read 2 more answers