72 is the minimum grade he must get on the last test in order to have an average of 77.
<u>Step-by-step explanation:</u>
The grades of a student are given 72,91,78,72 and the grade of his last test is not given.
- You have to find the minimum grade the student shall get, so that the student average must be 77.
- The four grades are already given. Therefore, we need to find only the fifth grade.
The term average is defined as the sum of all the data in a set divided by the number of data in a set.
Here, the number of data is 5. (Because the students has 4 grades plus one grade for his last test).
The average he should get is 77.
Average = Sum of all grades / number of grades
Let, 'x' be the grade of the last test.
⇒ 77 = (72+91+78+72+x) / 5
⇒ 77 = (313+x) / 5
⇒ 385 = 313 + x
⇒ x = 385 - 313
⇒ x = 72
The minimum grade he must get on the last test is 72.
Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.
Step-by-step explanation:
Since we have given that
Distance between Ships A and B = 1425 feet
Angle of depression from ship A to the submarine =59°
Angle of depression from ship B to the submarine = 47°
As shown in the figure below:
Remaining angle will be
So, we will use "Sine formula ":
Similarly,
Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.
Answer:
11.04 in taylor brown
Step-by-step explanation:
4x² - 100 = 0
<u> + 100 + 100</u>
<u> 4x²</u> = <u>100</u>
4 4
x² = 25
x = <u>+</u>5
4(5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
4(-5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
The roots of the equation is positive or negative 5.
Answer:
(-7,-4)
Step-by-step explanation:
hope this helps bro
