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Blababa [14]
3 years ago
15

2. A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles. To the near

est hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.
Mathematics
1 answer:
hoa [83]3 years ago
7 0
Given:
angle of 6 : i'm assuming this is 6 degrees.
distance of 5 miles.

tan(6) = rise/5 mi
rise = 5 mi * tan(6)
rise = 5 mi * 0.10510423526
rise = 0.52552117632

rise = 0.53 miles.
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If the diagonal of a square is approximately 12.73, what is the length of its sides?
Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

D^{2} = L^{2} + L^{2}

Solving further, we have

D^{2} = 2L^{2}

Divide both sides by 2

\frac{D^{2}}{2} = \frac{2L^{2}}{2}

\frac{D^{2}}{2} = L^2

Take Square root of both sides

\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}

\sqrt{\frac{D^{2}}{2}} = L

Reorder

L = \sqrt{\frac{D^{2}}{2}}

Now, the value of L can be calculated by substituting 12.73 for D

L = \sqrt{\frac{12.73^{2}}{2}}

L = \sqrt{\frac{162.0529}{2}}

L = \sqrt{{81.02645}

L = 9.001469325

L = 9.0015 (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0
3 years ago
Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of squ
denis23 [38]

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

(3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

8 0
3 years ago
Does anyone know what 0.4 divided by 2.4 is? I think it’s 0.6 or 6 not for sure tho!
ipn [44]

Answer:

0.16 I think............

4 0
3 years ago
Read 2 more answers
A line with a slope of O passes through the point (1, 10). What is its equation in
Burka [1]

Answer: Y = 10

Step-by-step explanation:

Because it is a horizontal line, the equation will just be Y = the Y value

5 0
3 years ago
The probability that a student uses Smarthinking Online Tutoring on a regular basis is 0.31 . In a group of 21 students, what is
Ivenika [448]

Answer: 0.0241

Step-by-step explanation:

This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:

P(X=r) = nCr × p^r × q^n-r

Where:

n = number of sampled variable which in this case = 21

r = variable outcome being determined which in this case = 5

p = probability of success of the variable which in this case = 0.31

q= 1- p = 1 - 0.31 = 0.69

P(X=5) = 21C5 × 0.31^5 × 0.69^16

P(X=5) = 0.0241

4 0
3 years ago
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