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Karo-lina-s [1.5K]
3 years ago
11

$#6 find the value if x. round answer to nearest tenth.

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

Step-by-step explanation:

The hypotenuse of the right angle triangle is 24

With m∠x as the reference angle,

The adjacent side of the right angle triangle is 17

The unknown side represents the opposite side of the right angle triangle.

To determine m∠x, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos x = 17/24= 0.708

x = Cos^-1(0.708)

x = 55.0° to the nearest tenth.

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Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t
NeTakaya

We have been given that Layana’s house is located at (2\frac{2}{3}, 7\frac{1}{3}) on a map. The store where she works is located at (-1\frac{1}{3}, 7\frac{1}{3}).

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

2\frac{2}{3}\Rightarrow \frac{8}{3}

7\frac{1}{3}\Rightarrow \frac{22}{3}

-1\frac{1}{3}\Rightarrow -\frac{4}{3}

Now we will use distance formula to solve our given problem.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Upon substituting coordinates of our given point in above formula, we will get:

D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}

D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}

D=\sqrt{0+(\frac{8+4}{3})^2}

D=\sqrt{(\frac{12}{3})^2}

D=\sqrt{(4)^2}

D=4

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

3 0
3 years ago
Read 2 more answers
- A contractor plans to build a rectangular office complex. The floor area on the first floor of the
Neko [114]

Answer:

Width = 30

Step-by-step explanation:

Area = 18x * 10y = 180xy

Length = 6xy

Width = ?

Since the shape of the office complex is a rectangle,

Area of a rectangle = length × width

180xy = 6xy × width

Width = 180xy / 6xy

Width = 30

4 0
3 years ago
The world's fastest fish, a sailfish, swims at a of 69 miles per hour. Is the distance a sailfish swims propotial to the number
Eddi Din [679]
Yes, the distance a sailfish swims propotional to the number of hours it swims
4 0
3 years ago
How do I find the area of this(I can round to the nearest tent if necessary)
Black_prince [1.1K]
To find the area, you have to multiply 23 by 24. The answer is 322.
5 0
3 years ago
Can someone answer this question and give an explanation
Temka [501]

Answer:

48cm^2

Step-by-step explanation:

First, you can break down this shape into two different, easier to work with shapes, with dimensions of 4*9 and 6*2. You can get this by cutting the bigger rectangle into the 4*9, and then using the 6*2 left over.

After that, all you need to do it multiply and then add.

4*9 is 36, and 6*2 is 12.

36+12=48

Hope this helped!

7 0
1 year ago
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