The given triangle is a right triangle.
The tangent of an angle of right triangle is obtained by dividing the opposite side of the angle with the adjacent side of the angle.
The opposite side of angle R is 5 cm and the adjacent side of angle R is 12 cm.
tan R = 5 / 12 = 0.4167
R = arctan (0.4167) = 22.6 degrees.
Answer:
L = 8
Step-by-step explanation:
The volume of a rectangular prism is found by V = L*h*w. Substitute V = 120, w = 5 and h =3 then solve for the length.
120 = L*3*5
120 = 15L
8 = L
Answer:
4
Step-by-step explanation:
Add each sample separately
A.17 B. 47 C. 39 D. 52 E. 45
Then you add them all together which totals 200 sick days
We know that they surveyed 5 schools and 10 students at random from each one. So we want to know the mean of sick days the students took not the schools in all.
So we divide 200/50
And get a mean of 4.
So each student took an average of 4 sick days each in the country.
Answer:
Step-by-step explanation: its b
Answer is 34 units.
Figures are defined by pre-image and image, so the image would be the dilation while the pre-image is the original figure. So with the preimage being larger, the dilation has to be a fraction less than 1.
Here preimage is smaller, and image is bigger hence scale factor is greater than 1 i.e. 2
Due to dilation, a similar figure is obtained without disturbing the shape of pre image.
Hence AB will becomes A'B' with length = scale factor x AB
= 2x AB.
We can find out AB using distance formula
AB = √(x₂-x₁)²+(y₂-y₁)²
=√(8-0)²+(8+7)²=√(64+225) =√289 = 17
Hence Length of A'B' = 2(17) = 34 units.