Answer:
2.5 teaspoon.
Step-by-step explanation:
4 serve recipe need cinnamon = 1 tsp
1 serve recipe need cinnamon = 1/4 tsp
10 serve recipe need cinnamon = 1/4 * 10
= 10/4
= 2.5 tsp
Answer:
its a,b,c, or d
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
If a = 5, the expression for the sum of the first 12 terms is
S12 = 12/2[2 × 5 + (12 - 1)d]
S12 = 6[10 + 11d]
S12 = 60 + 66d
Also, the expression for the sum of the first 3 terms is
S3 = 3/2[2 × 5 + (3 - 1)d]
S3 = 1.5[10 + 2d]
S3 = 15 + 3d
The sum of the first 12 terms is equal to ten times the sum of the first 3 terms. Therefore,
60 + 66d = 10(15 + 3d)
60 + 66d = 150 + 30d
66d + 30d = 150 - 60
36d = 90
d = 90/36
d = 2.5
For S20,
S20 = 20/2[2 × 5 + (20 - 1)2.5]
S20 = 10[10 + 47.5)
S20 = 10 × 57.5 = 575
AB=h can be found with
tan 60° =AB / AC, and AB=h= tan60° x AC
h= 14* 1.73=24.24
Answer:
30 degrees
Step-by-step explanation:
This is an isosceles triangle having 2 equal sides and 2 equal base angles.
since the measurement of all the internal angles of the triangle is 180 degrees and we know that each base angle is 75 degrees
solving for x:
75 + 75 + x = 180 degrees
150 + x = 180
x = 180 - 150
x = 30 degrees
