Answer:
96°
Step-by-step explanation:
An angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc.
x = 168/2 = 84°
A straight angle is 180 degrees
y = 180 - x = 180 - 84 = 96°
Answer:
7.6 inches to make an acute triangle
Step-by-step explanation:
a^2+b^2=c^2
7^2+3^2=c^2
49+9=c^2
58=c^2
Square root both sides
c=7.6 inches
Answer:
The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Step-by-step explanation:
From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7
The variability in the heights of the sixth graders = 1.2
The variability in the heights of the seventh graders = 1.7
To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders
That is, 1.7/ 1.2 = 1.4167 ≅ 1.4
Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Answer:
Each strip should 11 inches wide.
Step-by-step explanation:
We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
To find the greatest possible width of each strip we will find GCF of 44 and 33.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 33 are: 1, 3,11, 33.
We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.
limitedness of resources in order to satisfy unlimited human wants is scarcity
Step-by-step explanation:
the next best alternative use forgone is opportunity cost
