This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet. A rectangle with length 10 feet and width 6 feet. A semicircle with diameter 6 feet is on one side of the rectangle.

What is the approximate area of this composite figure? Use 3.14 for Pi and round to the nearest whole number.
46 feet squared
74 feet squared
88 feet squared
117 feet squared

It took alice 5 5/6 hours to drive to her grandparents' house for . on the way home, she ran into traffic and it took her 7 3/8 hours. how much longer did the return trip take? write your answer as a proper fraction or mixed number in simplest form. the trip home took __hours longer. ?

Find the value of x in the diagram below. select the best answer from the choices provided

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.