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2 years ago

Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.

Mathematics

1 answer:

Orlov [11]2 years ago

3 0

Answer:

10.21 and it represents positive credit

Step-by-step explanation: hope this helps <3

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Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ<br>

lilavasa [31]

Answer:

30°

Step-by-step explanation:

$\because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}$

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3 years ago

How to write an algebraic expression for (r+1) /14

Fittoniya [83]

I'm not so good but I think thatmeans r is a different number and its half of 14 so figure out an equation

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2 years ago

1.75x+1.25y=2<br> 7x+5y=9<br> how many solutions does this system of equations have?

Vlad1618 [11]

Answer:

true 7x+5y=9

Step-by-step explanation:

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2 years ago

Which values are solutions to the inequality below? Check all that apply <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20"

MaRussiya [10]

X > 169 is your Answer thus: b:/d & f:

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3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago