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slavikrds [6]
3 years ago
9

Determine the slope of the line that passes through the points (5, 2) and (-10, -8).

Mathematics
1 answer:
dsp733 years ago
3 0
Slope = y2-y1 / x2 - x1

= -8-2 / -10-5
= -10 / -15
= 2/3

A
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Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfrac
nata0808 [166]

The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

<h3>What are the six trigonometric ratios?</h3>

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\

The missing information, not present in this question are:

  • Length of FG = |FG| = 14.5
  • Length of FE = |FE| = 11.9
  • Angle ∠GFE = θ

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Learn more about inverse trigonometric functions here:

brainly.com/question/12551115

8 0
1 year ago
"Bobby, you should know that the minimum legal speed for this highway is 45 MPH, and the maximum legal speed is 65 MPH."
Ket [755]

Inequalities help us to compare two unequal expressions. The inequality that represents the given statement is 45≤x≤ 65.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the maximum legal speed on the highway is 65 MPH, therefore, the value of x must not exceed 65 MPH.

x ≤ 65

Also, the minimum legal speed on the highway is 45 MPH, therefore, the value of x must not be less than 45 MPH.

45≤x

By combining the two inequalities, we will get,

45≤x≤ 65

Hence, the inequality that represents the given statement is 45≤x≤ 65.

The complete question is:

Write an inequality that accurately represents the following statement: "Bobby, you should know that the minimum legal speed for this highway is 45 MPH, and the maximum legal speed is 65 MPH."

Learn more about Inequality:

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#SPJ1

4 0
2 years ago
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pochemuha

Answer:

2,4,5 acute , 3,4,5 right , 6 , 7 , 8 acute, 7,9,15 obtuse , 3,3,10 cannot form a triangle

Step-by-step explanation:

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2 years ago
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alex41 [277]

a/b - 8 = c/d

a/b = c/d+8

a = (c*b)/d + 8

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REY [17]

Answer:

A would be the answer hope this helps

Step-by-step explanation:

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