The value of the unknown length is 24
<h3>How to determine the
unknown length?</h3>
Represent the unknown length with x.
So, we have the following equivalent ratio:
30 : 30 + x = 25 : 45
Express as fraction
30/30 + x = 25/45
Simplify the fraction
30/30 + x = 5/9
Cross multiply
150 + 5x = 270
Evaluate the like terms
5x = 120
Divide by 5
x = 24
Hence, the value of the unknown length is 24
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5a - 4a = -9 - 8a
a = -9 - 8a
9a = -9
a = -1
1/2*bh=75
1/2*bb=75
b^2=150
b=rt(150)=12.2
not sure what you mean by link, but 12.2 is approximately the length you're seeking
Answer:
70°
Step-by-step explanation:
Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.
From the figure, central angle AOB has the measure of 220°.
Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.
Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so
m∠OAB + m∠OBA + m∠AOB = 180°
m∠OAB = m∠OBA = 1/2 (180° - 140°)
m∠OAB = 20°
Since drawn line is tangent line, then OA is perpendicular to this tangent line and
x° = 90° - 20°
x° = 70°
Answer:
Attached as image png.
Step-by-step explanation:
The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. An article gave the accompanying sample observations on breakdown voltage (kV) of a particular circuit under certain conditions. 62 51 53 58 42 54 56 61 59 64 51 53 64 62 50 68 54 55 57 50 55 50 56 55 46 56 54 55 53 47 48 56 58 48 63 58 57 56 54 59 54 52 50 55 60 51 56 59 Construct a boxplot of the data.
The boxplot is a method to represent a series of numerical data through their quartiles. In this way, the box diagram shows at a glance the median and quartiles of the data.
