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3 years ago

If sin =1/2then show that 3cos -4cos^3=0z

Mathematics

1 answer:

Katarina [22]3 years ago

7 0

Step-by-step explanation:

ever coner should have a value.... for example sinA or cos$

please check the question again

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5 divide 15x 15squared

Goryan [66]

Answer:

Step-by-step explanation:

(5 /15) x (15 squared = 75

4 0

3 years ago

Which algebraic expression could NOT represent the phrase below?

skad [1K]

Answer:

Step-by-step explanation:

because 4 and 3 are grouped together you would add them first. this would change the outcome of the problem.

6 0

3 years ago

Read 2 more answers

What is the mass of an object that has a density of 1.3 g/cm3 and a volume

tangare [24]

Answer:

The mass of the object is 2.6 grams

Step-by-step explanation:

The density of an object is the ratio between its mass and its volume

The equation of the is d = $\frac{m}{V}$ , where

m is the mass

V is the volume

Let us use this equation to solve the question

∵ An object has a density of 1.3 g/cm³

∴ d = 1.3 g/cm³

∵ Its volume is 2 cm³

∴ V = 2 cm³

→ Substitute them in the equation of the denisty above

∵ 1.3 = $\frac{m}{2}$

→ Multiply both sides by 2

∴ 2 × 1.3 = 2 × $\frac{m}{2}$

∴ 2.6 = m

∴ The mass of the object is 2.6 grams

8 0

3 years ago

Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)

Hunter-Best [27]

Answer:

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).

For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.

24=4!.

5 0

3 years ago

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

5 0

3 years ago