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2 years ago

A shop has this offer.

Mathematics

1 answer:

BARSIC [14]2 years ago

8 0

49x3= 147 so 10 reduction will make tim spend 137. 49x5= 245 so 20 reduction will make Craig spend 225. 225-147= 78 so Craig spends 78£ more than tim. All the offers state “X or Y” meaning it’s one or the other hence the ‘or’. Atleast that’s my interpretation of it.

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I need help ASAP please someone help me

STALIN [3.7K]

Answer:

I know it has nothing to do with Christianity, so C and D are wrong. It's either A or B, but I'm more with the A. But I'm not sure so...

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3 years ago

Can somebody explain how trigonometric form polar equations are divided/multiplied?

koban [17]

Answer:

Attachment 1 : Option C

Attachment 2 : Option A

Step-by-step explanation:

( 1 ) Expressing the product of z1 and z2 would be as follows,

$14\left[\cos \left(\frac{\pi \:}{5}\right)+i\sin \left(\frac{\pi \:\:}{5}\right)\right]\cdot \:2\sqrt{2}\left[\cos \left(\frac{3\pi \:}{2}\right)+i\sin \left(\frac{3\pi \:\:}{2}\right)\right]$

Now to solve such problems, you will need to know what cos(π / 5) is, sin(π / 5) etc. If you don't know their exact value, I would recommend you use a calculator,

cos(π / 5) = $\frac{\sqrt{5}+1}{4}$ ,

sin(π / 5) = $\frac{\sqrt{2}\sqrt{5-\sqrt{5}}}{4}$

cos(3π / 2) = 0,

sin(3π / 2) = - 1

Let's substitute those values in our expression,

$14\left[\frac{\sqrt{5}+1}{4}+i\frac{\sqrt{2}\sqrt{5-\sqrt{5}}}{4}\right]\cdot \:2\sqrt{2}\left[0-i\right]$

And now simplify the expression,

$14\sqrt{5-\sqrt{5}}+i\left(-7\sqrt{10}-7\sqrt{2}\right)$

The exact value of $14\sqrt{5-\sqrt{5}}$ = $23.27510\dots$ and $(-7\sqrt{10}-7\sqrt{2}\right))$ = $-32.03543\dots$ Therefore we have the expression $23.27510 - 32.03543i$ , which is close to option c. As you can see they approximated the solution.

( 2 ) Here we will apply the following trivial identities,

cos(π / 3) = $\frac{1}{2}$ ,

sin(π / 3) = $\frac{\sqrt{3}}{2}$ ,

cos(- π / 6) = $\frac{\sqrt{3}}{2}$ ,

sin(- π / 6) = $-\frac{1}{2}$

Substitute into the following expression, representing the quotient of the given values of z1 and z2,

$15\left[cos\left(\frac{\pi \:}{3}\right)+isin\left(\frac{\pi \:\:}{3}\right)\right] \div \:3\sqrt{2}\left[cos\left(\frac{-\pi \:}{6}\right)+isin\left(\frac{-\pi \:\:}{6}\right)\right]$ ⇒

$15\left[\frac{1}{2}+\frac{\sqrt{3}}{2}\right]\div \:3\sqrt{2}\left[\frac{\sqrt{3}}{2}+-\frac{1}{2}\right]$

The simplified expression will be the following,

$i\frac{5\sqrt{2}}{2}$ or in other words $\frac{5\sqrt{2}}{2}i$ or $\frac{5i\sqrt{2}}{2}$

The solution will be option a, as you can see.

6 0

4 years ago

How to find two consecutive integers for a product of 1295?

attashe74 [19]

Let the first integer be x; then the second is x+1.

The product of x and x+1 is x(x+1), and this product must equal 1295.

Thus, x^2 + x = 1295, or x^2 + x - 1295 = 0

Solve for x by completing the square:

x^2 + x + (1/2)^2 - (1/2)^2 - 1295 = 0

(x-1/2)^2 - 1/4 - 1295 = 0, or (x-1/2)^2 -5181/4 = 0,

Thus, x-1/2 = sqrt(5181/4), and so

x = 1/2+sqrt(5181/4) = 25.45

This could NOT be correct, since x and x+1 are CONSECUTIVE INTEGERS.

CHECK to ensure that you have copied down this problem correctly.

7 0

3 years ago

The digit in my hundreds place and the digit in my ones place are the same. The digit in my tens place is 1. The digit in my one

madreJ [45]

The number is 717,
You would simply get the answer by looking at all context clues. Hundreds = same as digit in ones, which is 700. Tens = 10. And ones = 7. Therefore, your answer would be 700. Also can be put as 700 + 10 + 7 = 717.

5 0

3 years ago

somebody can help me with this problem p;lz i really really need help if you answer thius question you gonnna be the best person

Iteru [2.4K]

The length of FD = 0.76 feet.

Step-by-step explanation:

Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet

To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.

$\tan \theta=\frac{o p p}{a d j}$