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2 years ago

Find AB if BC = 4, BD = 5, and AD = 2. show your work.

Mathematics

1 answer:

miskamm [114]2 years ago

7 0

Solving this system of equations without a CAS: $4=a+c$, $5=d+ac+b$, $4=ad+bc$, $4=bd$ 2

Let $A,B,C,D$ be the vertices of a four sided polygon taken in anti clockwise. Given $|AB|=|BC|=3,|AD|=|CD|=4,|BD|=5$ , Find $|AC|$ 1

Find $ad - bc$ if $ac = 18$ and $bd = 50$ 2

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PLEASE HELP!!

erik [133]

$2.=c.\\\\2\sin4x\cos4x=2\sin(2\cdot4x)=2\sin8x\\\\Used:\\\sin2\alpha=2\sin\alpha\cos\alpha$

$1.=b.\\\\\csc x-\sin x=\dfrac{1}{\sin x}-\dfrac{\sin^2x}{\sin x}=\dfrac{1-\sin^2x}{\sin x}=\dfrac{\cos^2x}{\sin x}\\\\=\dfrac{\cos x\cos x}{\sin x}=\cos x\cdot\dfrac{\cos x}{\sin x}=\cos x\cot x\\\\Used:\\\csc x=\dfrac{1}{\sin x}\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\\\\\cot x=\dfrac{\cos x}{\sin x}$

$3.=a.\\\\\dfrac{\sin x-1}{\sin x+1}=\dfrac{\sin x-1}{\sin x+1}\cdot\dfrac{\sin x+1}{\sin x+1}=\dfrac{\sin^2x-1^2}{(\sin x+1)^2}=\dfrac{\sin^2x-1}{(\sin x+1)^2}\\\\=\dfrac{-(1-\sin^2x)}{(\sin x+1)^2}=\dfrac{-\cos^2x}{(\sin x+1)^2}\\\\Used:\\(a-b)(a+b)=a^2-b^2\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x$

8 0

2 years ago

A pizza company uses equation C = 15n to calculate the cost of buying a number of pizzas. What is the constant of proportionalit

Lorico [155]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The lay in Burlington collected $3 930 in overdue fees last year. This year, the library

almond37 [142]

Answer:

We conclude that the percent of decrease = 20%

Step-by-step explanation:

Given

Original amount = $3930

Amount of decrease = $3930 - $3144 = $786

Using the formula

Percent of decrease = ( amount of decrease / orignal amount × 100 ) %

= ( 786 / 3930 × 100 ) %

= ( 0.2 × 100 ) %

= 20%

Therefore, we conclude that the percent of decrease = 20%

4 0

2 years ago

What is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?

never [62]

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

x = (2 1/4) * (3 3/5) / (1 1/2)

7 0

2 years ago

Marco has a jug with 37 1/2 ounces of juice. He wants to use some small cups to pass out samples of the juice Each cup holds 2 1

vladimir2022 [97]

37.5 divided by 2.5 is equal to 15.

4 0

3 years ago

Read 2 more answers