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nasty-shy [4]
3 years ago
9

Sierra is looking to rent her first apartment. She found a nice apartment in her budget with a monthly rent of X dollars. At lea

se signing, Sierra had to pay first and last month’s rent, a security deposit of one and a half times the monthly rent, and an application fee of $65. If Sierra paid $2,305 at lease signing, how much was the security deposit?
A
$840
B
$960
C
$1,020
D
$1,280
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0
The value of x from the derived equation is $640. Since, the security deposit is equal to 1.5x, it is equal to $960, comment for any questions
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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
Find the graph of y=3/4-2
alisha [4.7K]

The graph of

... y = 3/4 - 2

is a horizontal line at y = -1.25.

The graph of

... y = (3/4)x - 2

is an upward-sloping line with a rise of 3 for every 4 units to the right. It intercepts the y-axis at y = -2.

3 0
3 years ago
In this diagram which equation could you prove to be true in order to conclude that the lines are parallel
KiRa [710]
I would say that the correct answer is D. because y is always the numerator while x is the denominator for the equation y2 - y1/x2 - x1 which means if there is two y's or two x's on the same line you subtract the second one from the first one. If there is only one y and/or x and the other is 0 on the same line, it stays at y or x without subtracting y2 - y1 or x2 - x1. 

Since b is on the y coordinate and -a is on the x coordinate, you would make it b/a while -a is gonna be a positive since the lines are going up and to the right. Now, since c is the y coordinate and d is the x coordinate, make C the numerator and d the denominator since y is always the numerator and x is the denominator for these parallel line figures on the graph and the equation will be equaled to the fraction to the other fraction for parallel lines. 

So, your answer would be D. b/a = c/d 

Hope this helps, and is correct! 

<em>~ ShadowXReaper069</em>
3 0
3 years ago
Read 2 more answers
Help me. please &lt;3....
AVprozaik [17]
2
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5 0
3 years ago
Read 2 more answers
9 inches
Semmy [17]
What is 9 inches? Is 9 inches the diameter? Or the radius? What?

The equation for circumference is pi x diameter.

So assuming the 9 inches is the diameter:

Pi x 9 = 28.2743339

Circumference = 28.274 (3 d.p.)
7 0
4 years ago
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