Answer:
She wrote 9 pages per day on average
Step-by-step explanation:
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
Monday = 9
Tuesday =8
Wednesday = 12
Thursday = 6
Friday = 10
Mean=9
Hence She wrote 9 pages per day on average
Answer:
A.
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle ABC.
First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.
Now, we will use tangent-tangent angle theorem to solve for ABC.
Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.
Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.
Answer:
The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).
The area of one triangular face is 7.5 mm²
The surface area of the triangular prism is 135 mm²
Step-by-step explanation:
A triangular face of the prism is the face that has a three sided figure while the lateral faces are faces with four-sided figure. As seen from the triangular prism, it has 2 triangular faces since it is made up of 2 right angled triangles and has 3 lateral faces since it is made up of 3 rectangles which are 4 sided each.
Area of one triangular face =
Given base = 2.5 mm and height = 6 mm
Area of one triangular face =
Surface area of triangular prism = bh + pH
b= base of the triangle = 2.5 mm
h- height of the triangle = 6 mm
p= perimeter of the triangle = base + height + slant height = 2.5+6+6.5
p = 15 mm
H= height of the prism = 8mm
Surface area of triangular prism = 2.5(6)+15(8)
Surface area of triangular prism = 15 + 120
Surface area of triangular prism = 135mm²
