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3 years ago

8

kiaras monthly rent increased from $425 to $480 whats the percent increase in her rent rounded to the nearest tenth of a percent

1 answer:

padilas [110]3 years ago

4 0

Answer:

1.1

Step-by-step explanation:

480/425=1.129

There was a 1.129 rent increase but you round to the nearest tenth so 1.1

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In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

6 0

3 years ago

Use the graph of f(x) to find the solution to the equation f(x)=0

myrzilka [38]

The solution will be where the graph crosses the x-axis.

When a graph crosses the x-axis, the value of the function is 0. Just look at your graph and look at the x-values where the graph crosses the x-axis.

7 0

3 years ago

In the game of Pick-A-Ball without replacement, there are 10 colored balls: 3 red, 4 white, and 3 blue. The balls have been plac

Margarita [4]

Answer:A)0.27

B)0.78

Step-by-step explanation:

This is the probability of picking 2balls of same color.

P(RR)+Pr(WW)+Pr(BB)

3/10×2/9+4/10× 3/10+3/10 ×2/9=6/90+12/90+6/90=

24/90=4/15=0.27

B)if the first ball is not returned, then there are 9 balls left.

Then probability of same color will be

PrB+PrW+PrR

2/9+3/9+2/9=

7/9=0.78

8 0

3 years ago

What is the square root of 5000

valentinak56 [21]

the square root of 5000 is 71 (rounded to the nearest)

3 0

3 years ago

Read 2 more answers

What is the answer to this?

myrzilka [38]

Answer:r=3cm,diameter =6cm and C=18.84cm

Step-by-step explanation:

To find the radius,diameter and circumference according to the diagram drawn above

r=3cm

Diameter=2×3cm

d=6cm

To find the circumference

C=2πr

C=2×3.14×3cm

C=18.84cm

4 0

3 years ago