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3 years ago

Can somebody help me with this

Mathematics

2 answers:

eimsori [14]3 years ago

3 0

Answer:

If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1

9/a = -1

a = -9

murzikaleks [220]3 years ago

3 0

Answer:

-9

Step-by-step explanation:

flip and change the sign of $\frac{3}{4}$

$\frac{4}{-3}$

set equal to each other

$\frac{4}{-3}$ = $\frac{12}{a}$

cross multiply

4a = -36

divide by 4

a = -9

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Can someone find the missing angle measure?

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

(a straight line is 180 degrees)

180-118=62 degrees

4 0

3 years ago

How many arrangements are there of the letters in the word: CHAPTERS

taurus [48]

Answer: 40320 ways

Step-by-step explanation:

From the question, we are informed that we should the number of arrangements that are in the letters in the word: CHAPTERS.

First, we should note that there are 8 letters in the word CHAPTERS, therefore the number of ways that the word can be arranged is 8! which simply means:

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 40320 ways

7 0

3 years ago

Use the power reduction formulas to rewrite the expression. (Hint: Your answer should not contain any exponents greater than 1.)

Lapatulllka [165]

Some useful relations and identities:

$\tan x=\dfrac{\sin x}{\cos x}$

$\sin^2x=\dfrac{1-\cos2x}2$

$\cos^2x=\dfrac{1+\cos2x}2$

By the first relation, we have

$\tan^2x\sin^3x=\dfrac{\sin^5x}{\cos^2x}=\dfrac{(\sin^2x)^2\sin x}{\cos^2x}$

Applying the two latter identities, we get

$\dfrac{\left(\frac{1-\cos2x}2\right)^2\sin x}{\frac{1+\cos2x}2}=\dfrac{\frac{1-2\cos2x+\cos^22x}4\sin x}{\frac{1+\cos2x}2}=\dfrac{(1-2\cos2x+\cos^22x)\sin x}{2(1+\cos2x)}$

We can apply the third identity again:

$\dfrac{(1-2\cos2x+\cos^22x)\sin x}{2(1+\cos2x)}=\dfrac{\left(1-2\cos2x+\frac{1+\cos4x}2\right)\sin x}{2(1+\cos2x)}=\dfrac{(3-4\cos2x+\cos4x)\sin x}{4(1+\cos2x)}$

and this is probably as far as you have to go, but by no means is it the only possible solution.

8 0

3 years ago

What expression is equivalent to 1/2 divided by 2/3

Maslowich

Answer:

3/4

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Which is an example of continuous data A) age of an individual B) number of pages in a book C) number of rungs on a ladder D) nu

olga nikolaevna [1]

Answer:

A) Age of an individual

Step-by-step explanation:

Continuous Data are data that can take on any value without a said limit.

Option B, C and D ... Are all discreet

Data.

One easy way to know If a data is discreet or continuous:

Discreet Data are COUNTED

Continuous Data are MEASURED

Enjoy your maths

6 0

3 years ago

Read 2 more answers

Can somebody help me with this​

Can somebody help me with this