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Gnom [1K]
4 years ago
5

A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between

the landmarks in degrees.
What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.

A. 32.5 m
B. 42.1 m
C. 85.1 m
D. 98.5 m

Mathematics
2 answers:
LenKa [72]4 years ago
8 0

Answer:

The correct answer is 98.5 m, or D.

I just took the test and got it correct.

KonstantinChe [14]4 years ago
4 0
X² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)x² = 55² + 65² - 2[(55)(65)] cos(110°)x² = 3025 + 4225 -7150[cos(110°)]x² = 7250 - 2445.44x = √4804.56x = 69.31m
∴The distance, x, between two landmarks is 69.31m

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timofeeve [1]

Answer:

Y= 2x+2

Step-by-step explanation:

line equation is y=mx +c


m is the gradient = 2

We are given an x and y value

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substitute that into the equation:

4= 2(1) +c

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Put all the equation together:

Y= 2x+2

5 0
2 years ago
The table shows a linear function. <br>which equation represents the function?
Bas_tet [7]

Answer:

Option C is correct.

The equation f(x)= -\frac{1}{2}x +4 represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points (x_1, y_1) and  (x_2, y_2) the equation of line is given by:

y -y _1 = m(x-x_1) ......[1] ;where m is the slope given by:

m = \frac{y_2-y_1}{x_2-x_1}

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}

m = \frac{2}{-4} = -\frac{1}{2}

Now, substitute in equation [1]  we have:

y - 2 = -\frac{1}{2} (x-4)

Distributive property i.e,  a\cdot (b+c) = a\cdot b + a\cdot c

y -2 = -\frac{1}{2}x +2

Add both sides 2 we get;

y -2+2 = -\frac{1}{2}x+2+2

Simplify:

y = -\frac{1}{2}x+4

Since, y= f(x)

f(x)= -\frac{1}{2}x +4

therefore, the equation f(x)= -\frac{1}{2}x +4 represents the function.


8 0
4 years ago
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Citrus2011 [14]

Answer:

(9 \times 10^{8}) + (4 \times 10^{7}) + (3 \times 10^{6}) + (2 \times 10^{5}) +  (6 \times 10^{4}) +  (10^{3}) +  (5 \times 10^{2}) +  (8 \times 10) + (6 \times 10^{0})

Step-by-step explanation:

How do you put 943,261,586 with base ten numbers

943,261,586  =  

900,000,000 + 40,000,000 + 3,000,000 + 200,000 + 60,000 + 1,000 + 500 + 80 +6 =

(9 \times 10^{8}) + (4 \times 10^{7}) + (3 \times 10^{6}) + (2 \times 10^{5}) +  (6 \times 10^{4}) +  (10^{3}) +  (5 \times 10^{2}) +  (8 \times 10) + (6 \times 10^{0})

8 0
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Translate these statements into English, where R(x) is "x is a rabbit "and H(x) is "x hops" and the domain consists of all anima
Hatshy [7]

Answer:

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8 0
4 years ago
Read 2 more answers
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Airida [17]
Answer
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Explanation

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Divide both sides of the equation by -2
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Hope this helps:)
4 0
3 years ago
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