2 years ago

Which graph is right?

Mathematics

1 answer:

stira [4]2 years ago

4 0

Answer:

Step-by-step explanation:

A "or equal to" sign always contains a black colored in circle... With it's pointy end pointing at which direction it is being located.

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If the price of a shirt is $30 before tax is added on, and tax is 10%, what will the final price of the shirt be?

Lera25 [3.4K]

10% of 30 = 3
30 + 3 = 33

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3 years ago

If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

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3 years ago

Quadrilateral ABCD is a trapezoid with an area of 20 cm². Find the height of the trapezoid, h. Round the answer to the nearest t

Natalka [10]

Trapezoid Area = (Bases / 2) * Height
20 cm² = 5 * Height
Height = 4 cm

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3 years ago

What is the percent increase modeled in the function f(x)=20(1.5)^x

blagie [28]

The increase is D: 50% because the 1 in the parentheses stands for the 20 that was already there, with the .5 being the amount that’s actually being increased. 0.5 translates to 50%, so the answer is D.

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3 years ago

Help please thank you !!!

tensa zangetsu [6.8K]

Answer: for 4 The 24 balloons cost are $40 and 9 balloons are $1.67

Step-by-step explanation:

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3 years ago