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3 years ago

Write and expression for the phrase, "8 less than k".

Mathematics

2 answers:

drek231 [11]3 years ago

6 0

K - 8

the answer would be 8 less than the value of k

neonofarm [45]3 years ago

4 0

Answer: k - 8

Step-by-step explanation:

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Need help Math Question Multiple Choice!

erica [24]

Given :

A function f(x) for different range of x.

To Find :

The value of f( -3 ) .

Solution :

We have to find the value of function at x = -3.

Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :

$f(x) = \dfrac{2}{x}$

So, putting value of x = -3 in above equation, we get :

$f(-3) = \dfrac{2}{-3} \\\\f(-3) = \dfrac{-2}{3}$

Hence, this is the required solution.

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3 years ago

Need help with geo please 20 points

Serjik [45]

Answer:

Step-by-step explanation:

Option B is correct - angle ABE is less than 90 degrees, therefore it is acute, and angle DBC is greater than 90 degrees, therefore it is obtuse.

6 0

3 years ago

Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}$

$\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}$

$\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}$

$\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}$

$\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}$

$\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}$

$\mathsf{\implies \dfrac{5 - 1}{5 + 1}}$

$\mathsf{\implies \dfrac{4}{6}}$

$\mathsf{\implies \dfrac{2}{3}}$

Hence, option (a) 2/3 is your correct answer.

3 0

3 years ago

The figure below is made of 2 rectangular prisms. What is the volume of this figure?

mixer [17]

Answer:

6536 cubic in

Step-by-step explanation:

1. Split both the prisms apart- In doing so, you can simplify the problem.

2. Put in the #'s for the formula which in this case is V=L*W*H, we will start with the formula for the front one, V=7*8*1 or V=7*8

3. answer for the front is 56 cubic in, now we solve for the other half.

4. V=9*1*90 or V=9*90 which is 6480 cubic in.

5. add 6480 and 56 and your answer is 6536 cubic in as your answer.

Hope this helped ;D

3 0

3 years ago

An airplane makes a 15° angle of elevation from the runway

Jet001 [13]

Answer: 536 feet tall

Step-by-step explanation:

2000 ( tan 15 ) = 536

6 0

3 years ago