Which of the following quadrilateral have digonals that are always perpendicular to each other?check all that apply.

What is the area of this triangle?

Ket [755]

Answer:

a

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

Here b = 9 and h = 12 , then

A = $\frac{1}{2}$ × 9 × 12 = $\frac{1}{2}$ × 108 = 54 cm²

3 0

3 years ago

Read 2 more answers

The number of hours that college students sleep on a week night is approximated by a normal curve with a mean of 7 hours and a s

Tanya [424]

The information above is shown in the normal distribution curve shown below

Step 1 : Find the z-score for 5 hours
$z= \frac{5-7}{1.7} =-1.18$ rounded to 2 dp

Step 2: Read the value of z-score on the z-table
As shown in the second picture, the value z at -1.18 is 0.1190

Step 3: The proportion can be written in percentage form which is 11.90% rounded to 12% to nearest whole number

5 0

4 years ago

Solve (x+1<5) n (x-4> -3). A (all real numbers) B [x|1 C [x|x<4 or x> 1)

katovenus [111]

Answer:

1 < x < 4 . . . . {x | x < 4 and x > 1}

Step-by-step explanation:

We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.

x + 1 < 5

x < 4 . . . . . . . subtract 1

__

x -4 > -3

x > 1 . . . . . . . add 4

So, the solution is ...

(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions

As a compound inequality, this is written ...

1 < x < 4

_____

Comment on the problem

The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.

7 0

3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

zimovet [89]

Uhhh ask Siri or get Socratic

5 0

4 years ago

Read 2 more answers

Please correct both problems...and if I'm doing something PLEASE HELP,me

Vanyuwa [196]

Answer:

1. g(f(-2)) = -19

2. f(f(-1)) = -1

Step-by-step explanation:

1. g(f(-2)) where f(x) = 5x + 2 and g(x) = 2x-3

you're on the right track! g(f(x)) means that g's x is equal to the function f, in which you would plug in the answer for f (or equation in some cases) and that would be the x term of g. g(f(x)) or (g°f) can be said as "g composed of f"

what i would do first to make it a bit more simpler is plug in -2 in f(x) and then plug in that answer into g(f(x))

f(-2) = 5(-2) + 2 = -10 + 2 = -8

f(-2) = -8

in your steps, you put g(-2) = -8, when it is f(-2) = -8,

what you would do after that is plug in -8 into g(f(x))

g(f(-8)) = g(-8) <-- plug in -8 for x in g(x)

g(-8) = 2(-8) - 3 <-- distribute 2 into -8

-16 - 3 = -19

so g(f(-2)) = -19

2. find f(f(-1)) when f(x) = 8 - x

first you want to solve f(-1)

f(-1) = 8 - (-1) = 9

so f(-1) = 9

again, what you did in this composition is solved for the first function (the inside f), but never plugged in the result into the second function

now we want to plug in the answer 9 into f(x)

f(9) = 8 - (9) = -1

so f(9) = -1

this leaves us with the answer: f(f(-1)) = -1

7 0

3 years ago