Answer:
51 cm^2
Step-by-step explanation:
To find the area excluding the shaded triangle, first find the area of the whole figure:
12 x 6 = 72cm^2
Now, find the area of the triangle:
(7 x 6) / 2
42/2
21cm^2
Lastly, subtract the shaded area from the whole:
72 - 21 = 51 cm^2
Answer:
3:30PM
Step-by-step explanation:
Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?
Step 1
We add up the minutes it took her to do things
= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework
= 15 minutes + 45 minutes + 15 minutes
= 75 minutes
= 1 hour 15 minutes
Step 2
When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?
This is calculated be subtracting 1 hour 15 minutes from 4:45 PM
= 4:45 PM - 1 : 15
= 3:30PM
Therefore, Martha got home from school by 3:30 PM
Answer: D
H0: μ=522
H1: μ>522
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
So, for this case;
The null hypothesis is that the mean score equals to 522
H0: μ=522
The alternative hypothesis is that the mean score is greater than 522.
H1: μ>522
1. x intercept - (2,0)
y intercept - (0,4)
2. x intercept - (3,0)
y intercept - (0,-5)