Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of . Since the arc ST is part of the arc RST, and we know RS is , we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is , so:
Answer:
Step-by-step explanation:
Calculate the product
Simplify the radical
No......................................................................
8.
a) To find how many matches are used to make shape 9, you substitute 9 in as n, so your equation looks like
m = (4 × 9) + 1
m = 36 + 1
m = 37
So the amount of matchsticks is 37
b) Now we can substitute in 21, but place it where m is, so we get:
21 = (4 × n) + 1
- 1
20 = 4 × n
÷ 4
5 = n
So your answer is shape number 5.
9. You can write this out as an equation:
(6 × l) + (8 × p) = 640
Because you know that each letter is 100, you can substitute 100 in for l and get
(6 × 100) + (8 × p) = 640
600 + (8 × p) = 640
- 600
8 × p = 40
÷ 8
p = 5
So each pen is 5g.
I hope this helps!
Answer:
Number of glass panel in 16th row = 64
Step-by-step explanation:
Given:
Number of glass panel in first row = 4
Each next row added number of glass panel = 4
Find:
Number of glass panel in 16th row
Computation:
An = a + [n-1]d
An = given term = A16
a = first term = 4
n = number of term = 15
d = Common difference = 4
An = a + [n-1]d
An = 4 + [16-1]4
An = 4 + [15]4
An = 4 + 60
An = 64
Number of glass panel in 16th row = 64