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
Answer:
£8 : £12
Step-by-step explanation:
2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12
Answer:
38
Step-by-step explanation:
cross the numbers out
Answer:
The GMAT score corresponding to the 16th percentile is 473.
Step-by-step explanation:
Empirical Rule.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
68% of the measures within 1 standard deviation of the mean.
This means that they are between the 50 - (68/2) = 50 - 34 = 16th percentile(one standard deviation below the mean) and the 50 + (68/2) = 50 + 34 = 84th percentile(one standard deviation above the mean).
In this question:
Mean of 549, standard deviation of 76.
16th percentile:
One standard deviation below the mean, so 549 - 76 = 473.
The GMAT score corresponding to the 16th percentile is 473.
Answer: (a) isosceles (b) right
<u>Step-by-step explanation:</u>
(a) All sides of a rhombus are congruent → PN = AN
Therefore, ΔPNA has two congruent sides so is ISCOSCELES
(b) The diagonals of a rhombus are perpendicular (equal to 90°)
Therefore, ∠PEL = 90° so ΔPEL is a RIGHT triangle
