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2 years ago

the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle

Mathematics

1 answer:

Mamont248 [21]2 years ago

8 0

Answer:

P = 3AC + BC

Step-by-step explanation:

AB = 2AC

P = AB + AC + BC

replace AB

P = 2AC + AC + BC

P = 3AC + BC

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A type is typically makes an error on one out of every 21 documents they complete if the typist can complete 120 documents an ho

motikmotik

Answer: 21 document= 1 error 120 document= 1 hour in three and a half hours= 21 mistakes

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3 years ago

Find the tangent line approximation for 10+x−−−−−√ near x=0. Do not approximate any of the values in your formula when entering

Svetllana [295]

Answer:

$L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$

Step-by-step explanation:

We are asked to find the tangent line approximation for $f(x)=\sqrt{10+x}$ near $x=0$ .

We will use linear approximation formula for a tangent line $L(x)$ of a function $f(x)$ at $x=a$ to solve our given problem.

$L(x)=f(a)+f'(a)(x-a)$

Let us find value of function at $x=0$ as:

$f(0)=\sqrt{10+x}=\sqrt{10+0}=\sqrt{10}$

Now, we will find derivative of given function as:

$f(x)=\sqrt{10+x}=(10+x)^{\frac{1}{2}}$

$f'(x)=\frac{d}{dx}((10+x)^{\frac{1}{2}})\cdot \frac{d}{dx}(10+x)$

$f'(x)=\frac{1}{2}(10+x)^{-\frac{1}{2}}\cdot 1$

$f'(x)=\frac{1}{2\sqrt{10+x}}$

Let us find derivative at $x=0$

$f'(0)=\frac{1}{2\sqrt{10+0}}=\frac{1}{2\sqrt{10}}$

Upon substituting our given values in linear approximation formula, we will get:

$L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}(x-0)$

$L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}x-0$

$L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$

Therefore, our required tangent line for approximation would be $L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$ .

8 0

2 years ago

Given the right angle triangle shown here, calculate:

charle [14.2K]

Answer:

see explanation

Step-by-step explanation:

(1)

(a)

sin(a) = $\frac{opposite}{hypotenuse}$ = $\frac{15}{17}$

(b)

cos(a) = $\frac{adjacent}{hypotenuse}$ = $\frac{8}{17}$

(c)

tan(a) = $\frac{opposite}{adjacent}$ = $\frac{15}{8}$

----------------------------------------------------

(2)

(a)

sin(b) = $\frac{opposite}{hypotenuse}$ = $\frac{8}{17}$

(b)

cos(b) = $\frac{adjacent}{hypotenuse}$ = $\frac{15}{17}$

(c)

tan(b) = $\frac{opposite}{adjacent}$ = $\frac{8}{15}$

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2 years ago

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Which ratio is not equivalent the other three 2 over 3 or 12 over 15 or 6 over 9 or 18 over27

Bond [772]

12 over 15
all of them but that one simplify to 2 over 3

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2 years ago

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Please help as soon as possible

ziro4ka [17]

Answer: A because it says 10 more than v if it was b then it would say a number more than 10

Step-by-step explanation:

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2 years ago

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