Answer:
The measure of arc EBC is 220°
Step-by-step explanation:
step 1
Find out the measure of angle COB
we know that
m∠COB+m∠DOC=90° -----> given problem
we have that
m∠DOC=m arc DC -----> by central angle
m arc DC=50°
so
m∠DOC=50°
Find m∠COB
m∠COB+50°=90°
m∠COB=40°
step 2
Find out the measure of arc BC
we have that
m arc BC=m∠COB -----> by central angle
m∠COB=40°
therefore
m arc BC=40°
step 3
Find out the measure of arc EBC
we know that
m arc EBC=m arc EB+m arc BC
m arc EB=180° -----> because the diameter divide the circle into two equal parts
so
m arc EBC=180°+40°=220°
Answer:
$48.30
Step-by-step explanation:
If the dinner was $42.00 and they wanted to give a 15% tip, then to find that start by multiplying 42 by 0.15
42.00 x 0.15 = 6.3
now add $6.30 to $42.00
42 + 6.3 = 48.3
Answer:

Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so

Convert mixed number to an improper fraction

substitute

Simplify

Convert to mixed number

Answer:
Slope form of line y = 4x +41
Step-by-step explanation:
m= 4
The y-intercept of the line that passes through the given point (-9,5) is
5 = 4(-9) + b
b= 5 +36
b=41
The equation of the line that passes through the given point (-9,5) is
y =mx +b
y = 4x +41
Given:
grapes = 2 1/2 pounds
apples = 1 1/4 times as many pounds as grapes.
For easier computation, let us convert these fractions into numbers with decimal places.
2 1/2 pounds = 2.50 pounds
1 1/4 times = 1.25
Apples = 2.50 pounds * 1.25 = 3.125 pounds of apples.
Or we still use fractions. We need to convert the mixed fractions into improper fractions.
2 1/2 = 5/2
1 1/4 = 5/4
5/2 * 5/4 = 5*5 / 2*4 = 25/8 is simplified to 3 1/8 pounds