Activity#2<br />Directions: Solve the following problems. Show your complete solutions.<br /><br />1.The diagonals of a Kite have lengths of 12 and 15 cm. Find the area of a Kite.<br />2. Given parallelogram ABCD, angle A and angle B measures (x+30) and (3x-90) respectively. Determine the measure of each angle.<br />3. One lateral face of the roof of the school building is trapezoid in shape.<br />One of the bases of this trapezoid is 6 m longer than the other base. Find<br />the length of the two bases if the median measures 19 m.<br />4. Given Isosceles Trapezoid CLUB, if m<C = 4x+3 and m<L = 5x-15, then find the value of x.<br />5. SPIN is a trapezoid with median AB. If the length of AB is 18cm and SP is 6, then find the length of NI.<br />​

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;