Answer:
9.49 units
Step-by-step explanation:
x is the hypotenuse of the triangle.
Using Pythagoras Theorem,
The length of x



= 9.49 units (rounded to the nearest hundredth)
Answer:
easy
Step-by-step explanation:
2.67 * 10^-4
2.36 * 10^11
Answer: height = 13.9 cm
Step-by-step explanation:
The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2
Base area = πr^2
Substitutes the value into the formula
98.56 = 22/7 × r^2
Cross multiply
689.92 = 22r^2
r^2 = 689.92/22
r = sqrt ( 31.36 )
r = 5.6 cm
Also, the curved surface area of a cone is πrL
Where the given value is 264 cm^2
Substitutes the value into the formula
264 = 22/7 × 5.6 × L
Where L = slant height
Cross multiply
123.2L = 1848
L = 1848 /123.2
L = 15 cm.
Using pythagorean theorem to find the height H of the cone.
H^2 = L^2 - r^2
H^2 = 15^2 - 5.6^2
H = sqrt( 193.64 )
H = 13.9 cm
Applying the trigonometric ratios, the equations that can be used are:
sin 45 = BC/9
cos 45 = BC/9
<h3>How to Apply the Trigonometric Ratio?</h3>
In the given image below, to find the unknown lengths of the triangle, we would apply the following trigonometric ratios:
To find AC, use the cosine ratio, CAH.
To find BC, use the sine ratio, SOH.
sin 45 = opp/hyp = BC/9
sin 45 = BC/9
cos 45 = adj/hyp = BC/9
cos 45 = BC/9
Learn more about the trigonometric ratios on:
brainly.com/question/10417664
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Answer:165.47
Step-by-step explanation: