m∠R = 27.03°
Solution:
Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km
To find the measure of angle R:
Law of cosine formula for ΔQRP:
Substitute the given values in the above formula.
Switch the given equation.
Subtract 1073 from both side of the equation.
Divide by –952 on both sides.
Hence m∠R = 27.03°.
Answer:
option B
(−1, 0) and (0, 6)
Step-by-step explanation:
Given in the question two equations,
Equation 1
y =−x² + 5x + 6
Equation 2
−6x + y = 6
plug value of y in second equation
−6x −x² + 5x + 6 = 6
-x² -6x + 5x +6 - 6 = 0
-x² - x + 0 = 0
-x² -x = 0
-x(x+1) = 0
x = 0
and
x = -1
plug value of x in second equation to find y
x = 0
−6(0) + y = 6
0 + y = 6
y = 6
and
x = -1
−6(-1) + y = 6
6 + y = 6
y = 0
Answer:
B = 22
C = 122
D = 36
Step-by-step explanation:
The angles of a triangle add to 180. Take the measure of each angle add them together. Set them equal to 180.
2x + x + 4 + 7x - 4 = 180
10x = 180
x = 18
To find each angle, substitute x = 18.
Angle B is 18 + 4 = 22
Angle C is 7(18) - 4 = 122
Angle D is 2(18) = 36
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 10, 1, 10, 15, 1, 7, 10, 10, 1, 6
klemol [59]
First order the data:
1, 1, 1, 6, 7, 10, 10, 10, 10, 13, 15
the mean is all the numbers added together divided by how many there are, 1 + 1 + 1 + 6 + 7 + 10 + 10 + 10 + 10 + 13 + 15 = 84 84/11 = 7.636364 ≈ 7.6
the median is the number in the middle of the list, count numbers from each end, until you either have one or two left, if one left then its that one, if two left then its half way between the two
the median for your set is 10
The mode is the most common number, in your set 10
