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Gnom [1K]
2 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]2 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]2 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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Two students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each
sdas [7]

Answer:

Step-by-step explanation:

6 - (2 - 4x)

sophia : 6 + 2 + 4x

sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.

ursula : 6 - (-2x)

ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x

a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x

6 0
1 year ago
Read 2 more answers
What is the value of x? Enter your answer as a decimal to the nearest tenth in the box.
gogolik [260]

ANSWER

23.6 feet

EXPLANATION

The given triangle is a right triangle.

The hypotenuse is 27 ft.

The given angle I s 29°

The unknown side x, is adjacent to the given angle.

We use the cosine ratio to get,

\cos(29 \degree)  =  \frac{adjacent}{hypotenuse}

\cos(29 \degree)  =  \frac{x}{27}

We multiply both sides by 27 to get;

x = 27\cos(29 \degree)

x = 23.6ft

to the nearest tenth.

7 0
1 year ago
Read 2 more answers
The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches, what are the dimens
Rom4ik [11]

cubed root of 4896 = 16.98

round to 17

17-1 = 16

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7 0
1 year ago
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3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y
irakobra [83]
*Given
3(x+y)=y
y is not equal to zero

*Solution 

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis, 

                        3(x+y) = y
                      3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                              3x = -2y

Dividing both sides of the equation by 3, 

                                x = (-2/3)y

Dividing both sides of the equation by y, 

                              x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero. 
                             


6 0
1 year ago
A survey of the men in a certain town showed that 35% of the men have blond hair and 14% of them have blond hair and blue eyes.
natita [175]
If you are given he has blond hair, so the total probability will be 35%. And among them, he needs to have blue eyes, its probability is 14% among the 35%. So the final probability is 14%/35%=40%.
7 0
2 years ago
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