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3 years ago

The answer's are in the image sorry if you cant see them

Mathematics

1 answer:

Simora [160]3 years ago

8 0

C. "David's equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings"

they are technically saying "Look we have 12,350 to use. How long (y) will the savings (12,350) last after using 240 each month (x)
so the amount they use *PER* month gets subtracted from the savings because they are using that money to pay with

Hope this helps :)

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You own an ice cream shop.your total cost for 12 double cones is $24 and you sell them for $2.50 each. how many cones do you hav

Vanyuwa [196]

<span>24÷ 2.50</span>9.6
so off estimation its 10

3 0

3 years ago

3241004551 [841]

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar we can find x using similarity ratio

14/8 = (x+6)/(x-3) simplify first expression

7/4 = (x+6)/(x-3) cross multiply expressions

7×(x-3) = 4×(x+6)

7x-21 = 4x + 24 add like terms

3x = 45

x = 15

3 0

3 years ago

Please help? I’m super lost...

babunello [35]

Answer:

Step-by-step explanation:

In all of these problems, the key is to remember that you can undo a trig function by taking the inverse of that function. Watch and see.

a. $sin2\theta =-\frac{\sqrt{3} }{2}$

Take the inverse sin of both sides. When you do that, you are left with just 2theta on the left. That's why you do this.

$sin^{-1}(sin2\theta)=sin^{-1}(-\frac{\sqrt{3} }{2} )$

This simplifies to

$2\theta=sin^{-1}(-\frac{\sqrt{3} }{2} )$

We look to the unit circle to see which values of theta give us a sin of -square root of 3 over 2. Those are:

$2\theta =\frac{5\pi }{6}$ and

$2\theta=\frac{7\pi }{6}$

Divide both sides by 2 in both of those equations to get that values of theta are:

$\theta=\frac{5\pi }{12},\frac{7\pi }{12}$

b. $tan(7a)=1$

Take the inverse tangent of both sides:

$tan^{-1}(tan(7a))=tan^{-1}(1)$

Taking the inverse tangent of the tangent on the left leaves us with just 7a. This simplifies to

$7a=tan^{-1}(1)$

We look to the unit circle to find which values of <em>a</em> give us a tangent of 1. They are:

$7\alpha =\frac{5\pi }{4},7\alpha =\frac{\pi }{4}$

Dibide each of those equations by 7 to find that the values of alpha are:

$\alpha =\frac{5\pi}{28},\frac{\pi}{28}$

c. $cos(3\beta)=\frac{1}{2}$

Take the inverse cosine of each side. The inverse cosine and cosine undo each other, leaving us with just 3beta on the left, just like in the previous problems. That simplifies to:

$3\beta=cos^{-1}(\frac{1}{2})$